JP4011341B2 - Electric power system and method and apparatus for allocating economic load of consigned power - Google Patents

Description

【００１５】
この中で、Ｐ_jは決定すべき発電出力データ５であり、発電設備ｊの電力コスト関数f_j(Ｐ_j)および発電設備ｊの最大出力および最小出力は設備データ記憶手段３に記憶されており、Ｄは需要データ２である。
【００１６】
ここで、発電設備の電力コストf_j(Ｐ_j)が、燃料費のように発電出力に対して滑らかでかつ下に凸な関数で与えられている場合には等増分燃料費則が成り立ち、ラムダ反復法（例えば、A. J. Wood et al.: "Power Generation Operation and Control, 2nd Edition." John Wiley & Sons, Inc. pp.39参照）により、最適な発電出力を計算することができる。また、この電力コストf_j(Ｐ_j)が、発電出力に対して区分線形な凸関数で表される場合には、増分法（例えば、A. J. Wood et al.: "Power Generation Operation and Control, 2nd Edition." John Wiley & Sons, Inc. pp.49参照）により最適な発電出力を計算することができる。
しかし、発電設備の電力コストf_j(Ｐ_j)が凸関数でない場合には、同じ計算方法を用いると、コスト最小な発電出力を計算することはできない。
【００１７】
図１の経済負荷配分装置１４は、表示装置７に図２に示すメニュー画面１００を表示する。メニュー画面１００には、需要設定画面を表示するための需要データ設定ボタン１０１と、設備データ入力画面を表示するための設備データ設定ボタン１０２と、発電設備の運転停止を設定する運転停止設定ボタン１０３と、経済負荷配分計算を実行するための経済負荷配分実行ボタン１０４と、経済負荷配分結果を表示するための結果表示ボタン１０５とが配置されており、入力装置６からの入力にしたがってそれぞれの処理を実行する。
【００１８】
例えば、図２のメニュー画面１００から需要データ設定ボタン１０１を選択すると、表示装置７には図３の需要設定画面１１０が表示される。需要設定画面１１０には、日付を設定するための日付設定領域１１１と、図１の需要予測システム１によって予測された需要データ２を読み込むための予測読込ボタン１１２と、需要予測システム１に記憶されている需要実績データを読み込むための実績読込ボタン１１３と、読み込んだ需要データを表示する、あるいは入力装置６から需要データを設定するための需要表示・設定領域１１４と、設定された需要データをグラフ表示するグラフ表示領域１１５と、需要データの設定を終了してメニュー画面１００に戻るための設定終了ボタン１１６が配置されている。
【００１９】
日付設定領域１１１にはデフォルトで翌日の日付が設定されるようになっており、この日付を変更する場合は、入力装置６によって当該領域に設定されている日付を変更する。
【００２０】
予測読込ボタン１１２を選択すると、需要予測システム１によって予測された設定された日付の需要データを、需要予測システム１から読み込み、読み込んだ需要データを需要表示・設定領域１１４に表示する。設定された日付の需要予測データが存在しない場合は、需要予測データが存在しない旨のエラーメッセージを表示する。
【００２１】
実績読込ボタン１１３を選択すると、需要予測システム１に記憶された設定された日付の需要実績データを、需要予測システム１から読み込み、読み込んだ需要データを需要表示・設定領域１１４に表示する。設定された日付の需要実績データが存在しない場合は、需要実績データが存在しない旨のエラーメッセージを表示する。
【００２２】
入力装置６から需要表示・設定領域１１４に直接需要データを設定することも可能である。
設定された需要データはグラフ表示領域１１５にグラフ表示され、視覚的に確認できる。
設定終了ボタン１１６を選択すると、表示装置７には図２のメニュー画面が表示される。
【００２３】
図２のメニュー画面１００から設備データ設定ボタン１０２を選択すると、図４の設備データ設定画面１２０が表示される。
設備データ設定画面１２０には、発電設備の名称を設定する領域１２１と、発電設備の最大出力を設定する領域１２２と、発電設備の最小出力を設定する領域１２３と、発電設備の出力変化速度を設定する領域１２４と、発電設備の区分線形な電力コスト特性を端点で入力するための第１出力を設定する領域１２５と、第１コストを設定する領域１２６と、第２出力を設定する領域１２７と、第２コストを設定する領域１２８とが定められている。この出力とコストの組は最大８点まで設定可能であり、ボタン１２９によって画面をスクロールすることにより、第８入力、第８コストまで設定することができる。また、発電設備も例えば最大１００設備まで登録可能であり、この場合にはボタン１３０によって画面をスクロールすることにより、最大１００設備までの設備データを設定することができる。
【００２４】
この設備データ設定画面１２０から入力手段６によって入力された設備データは、終了ボタン１３１を選択することにより設備データ記憶手段３に記憶され、表示装置７には図２のメニュー画面が表示される。
【００２５】
図２のメニュー画面１００から運転停止設定ボタン１０３を選択すると、図５の運転停止設定画面１４０が表示される。
運転停止設定画面１４０には、発電設備の名称および時刻にしたがって発電設備の運転停止を設定する領域１４１と、需要データを表示する領域１４２と、運転している発電設備の最大出力の合計値を表示する領域１４３と、運転している発電設備の最小出力の合計値を表示する領域１４４と、設定終了ボタン１４５が配置されている。ボタン１４６によって画面を上下方向にスクロールすることにより、０時〜２４時までの運転停止を設定することができる。またボタン１４７によって画面を左右にスクロールすることにより、最大１００までの発電設備の運転停止を設定することができる。
【００２６】
また、領域１４２に表示されている需要データに比べて、領域１４３に表示されている発電設備の最大出力の合計値が小さい場合には、当該領域が赤く表示され、経済負荷配分不可能であることを示す。同様に領域１４２に表示されている需要データに比べて、領域１４４に表示されている発電設備の最小出力の合計値が大きい場合には、当該領域が赤く表示され、経済負荷配分不可能であることを示す。
【００２７】
設定終了ボタン１４５を選択すると、表示装置７には図２のメニュー画面が表示される。このとき、経済負荷配分不可能な時刻が存在している場合には、その旨のエラーメッセージが表示される。
【００２８】
図２のメニュー画面から経済負荷配分実行ボタン１０４を選択すると、図１の経済負荷配分手段４が実行され、計算結果である発電出力データ５が出力データ記憶手段６に記憶される。
【００２９】
図６は、図１の経済負荷配分装置による経済負荷配分手段４の動作を示すフローチャートである。以下、図１の経済負荷配分手段４の動作を図６のフローチャートを参照して説明する。
【００３０】
ステップＳ１では、設備データ記憶手段３に記憶されている電力コストデータから、電力コストが出力の凹関数で表される発電設備に対して出力範囲で線形近似する。
【００３１】
ここで、電力コストが出力の凹関数で表される発電設備のコストデータを図７のグラフを参照して説明すると、２００が区分線形なコスト関数を示しており、出力ｘ１，ｘ２，．．．，ｘｎ［kW］に対応した電力コストがｙ１，ｙ２，．．．，ｙｎ［円/h］，最大出力がｘｎ，最小出力がｘ１である。また、２０１は線形近似された電力コスト関数であり、最小出力と最大出力の２点のデータ（ｘ１，ｙ１），（ｘｎ，ｙｎ）によって表される。
ステップＳ１の処理により、すべての発電設備の電力コストが区分線形な凸関数で表されることになるため増分法により最適化可能である。
【００３２】
ステップＳ２では、これらのデータから増分法により、電力コストの総和を最小化するような発電設備の出力を決定する。ここで決定された発電設備の出力は、近似された発電コストに対しては、コスト最小な出力となっている。
【００３３】
ステップＳ３からステップＳ５は、ステップＳ４の判定条件が満たされるまで計算を繰り返す反復計算ルーチンである。判定条件が満たされるとステップ６へ行き、反復を終了する。ステップＳ２で計算された発電出力は、電力コストの一部を近似した問題を解いているため、最適解ではない場合があり得る。この反復計算により可能であれば逐次解を改善して最適解を求める。
【００３４】
ステップＳ３では、設備データ記憶手段３に記憶されていた電力コストデータから、現在の出力から出力を上げる方向での増分単価（上げ増分単価）Δf_j ^upと、出力を下げる方向での増分単価（下げ増分単価）Δf_j ^downとを計算する。
【００３５】
ここで、電力コストデータの増分単価を示したグラフである図８について説明すると、区間［ｘ１，ｘ２］，［ｘ２，ｘ３］，［ｘ３，ｘ４］の増分単価をでそれぞれｃｒ１，ｃｒ２，ｃｒ３とすると、
ｃｒ１＝（ｙ２−ｙ１）／（ｘ２−ｘ１），
ｃｒ２＝（ｙ３−ｙ２）／（ｘ３−ｘ２），
ｃｒ３＝（ｙ４−ｙ３）／（ｘ４−ｘ３）
である。
【００３６】
２１０は点（ｘ２，ｙ２）上にあるため、上げ増分単価はｃｒ２、下げ増分単価はｃｒ１となる。２１１は区間（ｘ２，ｘ３）上にあるため、上げ増分単価、下げ増分単価ともにｃｒ２である。２１２は点（ｘ１，ｙ１）上にあるため、上げ増分単価はｃｒ１であるが、下げ増分単価は存在しない。このような場合は下げ増分単価を０と定義する。また、２１３は点（ｘ４，ｙ４）上にあるため、下げ増分単価はｃｒ３であるが、上げ増分単価は存在しない。このような場合は上げ増分単価を＋∞と定義する。
【００３７】
次のステップＳ４ではこれ以上解を改善できないかどうか判定する。すべての発電設備の中で、上げ増分単価の最小値min{Δf_j ^up}と、下げ増分単価の最大値max{Δf_j ^down}を比較し、
min{Δf_j ^up}＞max{Δf_j ^down}
ならばステップＳ６へ行き、解を出力して計算を終了する。
【００３８】
そうでない場合は、J₁=arg min{Δf_j ^up}の発電とJ₂=arg max{Δf_j ^down}の発電とを持ち替えることによって解を改善できる。持ち替える電力をΔＰ［kW］とすると、J₁の発電をΔＰだけ増加させ、J₂の発電をΔＰだけ減少させると、Δf_J1 ^up ＜Δf_J2 ^downだから、（Δf_J1 ^up−Δf_J2 ^down）ΔＰ＜０だけ電力コストが増加する。すなわち電力コストが減少する。
【００３９】
ステップＳ５では、以上のような持ち替えを行う。持ち替える電力ΔＰは、不等号の向きが変化しない範囲でなければならないので、いずれかの増分単価が変化しない最大の電力、すなわち、それぞれの発電のうち端点までの変化量の小さい方がΔＰとなる。
【００４０】
ステップＳ５が終了すると、再びステップＳ３へ戻り、増分単価の計算を行う。このときは、ステップＳ５で出力を変化させた発電に関してのみ、新たに増分単価を計算しなおせばよく、他の発電の増分単価は変化しないため、前回計算した値をそのまま用いればよい。
【００４１】
以上のステップＳ１〜ステップＳ６により最適な負荷配分が計算される。また、上記説明したように、与えられた負荷に対して経済的に配分するためのプログラムを記録した媒体を用いることによってさらなる負荷配分の改善が容易に実施できる。
図２のメニュー画面１００から結果表示ボタン１０５を選択すると、表示装置７には図９の結果表示画面１５０が表示される。
【００４２】
結果表示画面１５０には、発電設備の名称および時刻にしたがって発電設備の発電出力を表示する領域１５１と、需要データを表示する領域１５２と、発電出力の合計値を表示する領域１５３と、終了ボタン１５４が配置されている。ボタン１５５によって画面を上下方向にスクロールすることにより、０時〜２４時までの発電出力を表示することができる。またボタン１５６によって画面を左右にスクロールすることにより、最大１００までの発電設備の発電出力を表示することができる。
【００４３】
また、発電設備の名称１５７を入力装置６を介して選択することにより、当該発電設備の発電出力グラフを表示する。
終了ボタン１５４を選択すると、表示装置７には図２のメニュー画面が表示される。
【００４４】
図９の結果表示画面１５０から発電設備の名称１５７を選択すると、図１０の発電設備出力グラフ画面１６０が表示される。
発電設備出力グラフ画面１６０には、発電設備の名称および時刻にしたがって発電設備の発電出力を表示する領域１６１と、発電出力をグラフ表示する領域１６２と、終了ボタン１６３が配置されている。ボタン１６４によって発電出力を表示する領域を上下方向にスクロールすることにより、０時〜２４時までの発電出力を表示することができる。グラフ表示領域１６２には、当該発電設備の発電出力が横軸に時間、縦軸に出力をとってグラフ表示されており、発電設備の運用を視覚的に確認できる。
終了ボタン１６３を選択すると、図９の結果表示画面１５０に戻る。
【００４５】
図１１は本発明の第２実施形態であるオンライン系の経済負荷配分装置のブロック図である。
図１１において、経済負荷配分装置１４は、需要予測システム１によって予測された需要データ２と、発電設備の最大出力・最小出力や出力変化速度、および発電コストデータなどからなる発電データを記憶する設備データ記憶手段３と、これらのデータから最経済な負荷配分を実行して発電出力データ５を計算する経済負荷配分手段４と、設定データの入力・変更を行うための入力装置８と、発電出力データ５と発電設備の現在出力値である発電出力値１３とから発電出力指令値１０を計算する負荷配分修正手段９とから構成されている。ここで計算された発電出力指令値１０は、発電設備を制御する発電設備制御装置１１に伝送され、発電設備はこの指令値にしたがって制御される。
【００４６】
本実施形態によるオンライン系の経済負荷配分装置では、ある計算周期にしたがって、１時断面での需要データに対して、第１の実施形態であるオフライン系の経済負荷配分装置による負荷配分計算を行い、発電出力データを現在の発電設備の発電出力値１３によって修正した発電出力指令値１０を発電設備の制御装置１１に伝送している。
負荷配分修正手段９では、発電出力データ５が、次式の制約を満足するように修正する。
【００４７】
【数２】

【００４８】
図１２は図１１の経済負荷配分装置による負荷配分修正手段９の動作を示すフローチャートである。
以下、図１１の負荷配分修正手段９の動作を図１２のフローチャートを使って説明する。
【００４９】
ステップＳ１１では、すべての発電設備の発電出力値Ｐ_jが、（２）式の制約条件を満足するかどうかをチェックする。満足する場合には、ステップＳ１４へ行き、Ｐ_jを出力して終了する。そうでない場合はステップＳ１２へ行く。
【００５０】
ステップＳ１２では、（２）式の制約条件を満足していない発電設備の中で制約違反量が最大のものを選び、当該発電設備の発電出力を制約の境界値に固定する。すなわち、制約違反量が最大の発電設備
【数３】

とする。
【００５１】
ステップＳ１３では、発電設備Ｊの発電出力を増減させたことで発生する需給不均衡を調整し、再び需給均衡を保つようにする。ステップＳ１２により発電が不足する場合、増分法を用いて出力を固定していない発電設備の発電出力を、増分単価の安いものから順に増加させて行き、需給を均衡させる。また、ステップＳ１２により発電過多となった場合、逆に、出力を固定していない発電設備の発電出力を、増分単価の高いものから順に減少させて行き、需給を均衡させる。
ステップＳ１３が終了すると、再びステップＳ１１に戻り、すべての発電設備が（２）式の制約条件を満足するまで繰り返す。
【００５２】
以上のステップＳ１１〜ステップＳ１４によりオンライン制御が可能な範囲での経済負荷配分が可能となる。また、上記説明したように、与えられた負荷に対して経済的に配分するためのプログラムを記録した媒体を用いることによってさらなる負荷配分の改善が容易に実施できる。
【００５３】
図１３は本発明の第３実施形態であるオンライン系の経済負荷配分装置のブロック図である。
図１３において、経済負荷配分装置１４は、需要予測システム１によって予測された需要データ２と、発電設備の最大出力・最小出力や出力変化速度、および発電コストデータなどからなる発電データを記憶する設備データ記憶手段３と、これらのデータおよび発電設備の現在出力値である発電出力値１３とから、オンライン制御可能な範囲での最経済な負荷配分を実行して発電出力指令値１０を計算する経済負荷配分手段４と、設定データの入力・変更を行うための入力装置８とから構成されている。ここで計算された発電出力指令値１０は、発電設備を制御する発電設備制御装置１１に伝送され、発電設備はこの指令値にしたがって制御される。
【００５４】
本実施形態によるオンライン系の経済負荷配分装置では、ある計算周期にしたがって１時断面での需要に対して、（１）式の最適化問題の制約条件（１ｃ）式を次式のように修正して、第１の実施形態であるオフライン系の経済負荷配分装置による負荷配分計算を行い、発電出力指令値１０を発電設備の制御装置１１に伝送している。
【００５５】
【数４】

【００５６】
この問題は、発電設備の最大出力・最小出力が、現在出力と出力変化速度によって修正された問題であるため、第１実施形態の経済負荷配分装置による経済負荷配分手段４によってオンライン制御可能な範囲での経済負荷配分が可能となり、計算された発電出力データをそのまま発電出力指令値とすることができる。
【００５７】
また、本実施形態においても、第１実施形態と同様に、与えられた負荷に対して経済的に配分する方法をプログラムに実行させることによって負荷配分の改善が容易に実施できる。
【００５８】
【発明の効果】
以上説明したように本発明によれば、電力コストが発電出力の凸関数で与えられた発電設備と、電力コストが発電出力の凹関数で与えられた発電設備とを含む複数の発電設備に対し、与えられた負荷に対して電力コストの総和が最小となるような負荷配分が可能となる。また、オンライン制御が可能な範囲での経済負荷配分が可能となる。
【図面の簡単な説明】
【図１】本発明の第１実施形態の経済負荷配分装置のブロック図。
【図２】図１の経済負荷配分装置のメニュー画面。
【図３】図２の需要データ設定画面。
【図４】図２の設備データ設定画面。
【図５】図２の運転停止設定画面。
【図６】本発明に係る経済負荷配分手段の処理内容を示すフローチャート。
【図７】電力コストの凹関数を線形に近似したグラフ。
【図８】電力コストの上げ／下げ増分単価を説明するためのグラフ。
【図９】図２の計算結果表示画面。
【図１０】図９の発電設備名称を選択した発電設備出力グラフ画面。
【図１１】本発明の第２実施形態の経済負荷配分装置のブロック図。
【図１２】図１１の負荷配分修正手段の処理内容を示すフローチャート。
【図１３】本発明の第３実施形態の経済負荷配分装置のブロック図。
【符号の説明】
１…需要予測システム、２…需要データ、３…設備データ記憶手段、４…経済負荷配分手段、５…発電出力データ、６…出力データ記憶手段、７…表示装置、８…入力装置、９…負荷配分修正手段、１０…発電出力指令値、１１…発電設備制御手段、１２…発電設備、１３…発電出力値、１４…経済負荷配分装置、１００…メニュー画面、１０１…需要データ設定ボタン、１０２…設備データ設定ボタン、１０３…運転停止設定ボタン、１０４…経済負荷配分計算実行ボタン、１０５…計算結果表示ボタン、１１０…需要設定画面、１１１…日付設定領域、１１２…予測読込ボタン、１１３…実績読込ボタン、１１４…需要表示・設定領域、１１５…グラフ表示領域、１１６，１３１，１４５，１５４，１６３…終了ボタン、１２０…設備データ設定画面、１２１…発電設備名称設定領域、１２２…最大出力設定領域、１２３…最小出力設定領域、１２４…出力変化速度設定領域、１２５…第１出力設定領域、１２６…第１コスト設定領域、１２７…第１出力設定領域、１２８…第１コスト設定領域、１２９，１４６，１５５，１６４…上下スクロールボタン、１３０，１４７，１５６…左右スクロールボタン、１４０…運転停止設定画面、１４１…運転停止設定領域、１４２，１５２…需要データ表示領域、１４３…最大出力合計値表示領域、１４４…最小出力合計値表示領域、１５０…結果表示画面、１５１…発電出力表示領域、１５３…発電出力合計値表示領域、１５７…発電設備名称表示領域、１６０…発電設備出力グラフ画面、１６１…発電出力表示領域、１６２…発電出力グラフ表示領域。[0001]
BACKGROUND OF THE INVENTION
The present invention relates to load distribution of an electric power system in which an electric power company, a grid operator, or a specified scale electric power company owns the power generation equipment owned by itself or the power generation equipment owned by the power generation company economically to the load. The present invention relates to a method and a load distribution apparatus thereof.
[0002]
[Prior art]
Conventional economic load distribution is achieved by approximating the fuel cost characteristics of the generator with a convex function and using the lambda iteration method based on the equal incremental fuel cost law or by approximating this convex function with a piecewise linear convex function. Either by law or by either method. Therefore, when power companies, grid operators, or specific-scale electric utilities purchase electricity from power generation facilities outside the company due to the liberalization of the electricity market, the power purchase cost does not match the fuel cost of the generator. Since the power cost may be represented by a concave function of the power generation output, the equal incremental fuel cost rule does not hold, so the conventional method cannot perform economical load distribution.
[0003]
[Problems to be solved by the invention]
The present invention has been made in view of the above circumstances, and the problem is that power generation equipment in which the power cost is given by a convex function of the power generation output and the power generation in which the power cost is given by a concave function of the power generation output, as in the prior art. An object of the present invention is to provide an economic load distribution method and apparatus for determining a load distribution that minimizes the sum of power costs for a given load for a plurality of power generation facilities including the facilities.
[0004]
[Means for Solving the Problems]
  In order to solve the above problems, the invention according to claim 1 is an electric power system for economically allocating outputs of a plurality of power generation facilities to given loads, and an economic load distribution method for consigned power.
  Inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
  Approximating power cost data represented by a concave function that is piecewise linear and monotonically increasing with respect to the power generation output among the power cost data of the plurality of power generation facilities input by the input step;
  From a linear function of power cost data approximated by the approximating step, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function Calculating an initial load distribution that minimizes power costs;
  Comparison of the incremental unit price of the power cost data from the initial load distribution calculated so that the power cost is minimized by the calculating step and the power cost data of the plurality of power generation facilities input by the inputting step The process of calculating the load distribution where the power cost is reduced from the current until the power cost stops decreasingAnd including
  The step of calculating sequentially includes a first step of calculating an increase unit price in the direction of increasing the output from a current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and the first step. A second step of comparing the minimum value of the increase unit price of the increase and the maximum value of the decrease unit price of the calculated value, and determining whether the maximum value of the decrease increment unit price is greater than the minimum value of the increase unit price; If it is determined as a result of the second step that the maximum value of the lower incremental unit price is greater than the minimum value of the increased incremental unit price, the increased incremental unit price in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point with the smaller change amount among the end point which is the maximum range where the change does not change and the end point which is the maximum range where the decrease increment unit price does not change in the decrease increment unit price having the maximum value of the decrease increment unit price For the increment unit price, the power when the increment unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation having the minimum value of the increase increment unit price is increased by the amount of the changed power and the power to be changed. And a third step of reducing the power generation of the power generation equipment having the maximum unit price of the decrease increment by the amount to obtain a new load distribution, and further, from the first step to the third step The steps up to the step are repeated until it is determined that the maximum value of the lower incremental unit price is not larger than the minimum value of the increased incremental unit price in the second step, and the minimum of the increased incremental unit price is determined in the second step. The load distribution when it is determined that the maximum value of the lower incremental unit price is not larger than the value is output as a solution.It is characterized by that.
[0005]
  The invention according to claim 2 is a power system for economically allocating outputs of a plurality of power generation facilities to given loads, and an economic load distribution method for consigned power,
  Inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
  Approximating power cost data represented by a concave function that is piecewise linear and monotonically increasing with respect to the power generation output among the power cost data of the plurality of power generation facilities input by the input step;
  From a linear function of power cost data approximated by the approximating step, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function Calculating an initial load distribution that minimizes power costs;
  Comparison of the incremental unit price of the power cost data from the initial load distribution calculated so that the power cost is minimized by the calculating step and the power cost data of the plurality of power generation facilities input by the inputting step A sequential calculation step of sequentially calculating the load distribution in which the power cost is reduced from the current until the power cost is not reduced,
  With respect to the load distribution calculated at each predetermined calculation cycle, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities, and this correctable range Modifying the load distribution within
  IncludingSee
  The sequential calculation step includes a first step of calculating an increase unit price in the direction of increasing the output from the current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and calculation in the first step. A second step of comparing a minimum value of the increase unit price and a maximum value of the decrease increment unit price to determine whether the maximum value of the decrease increment unit price is larger than the minimum value of the increase unit price; As a result of the second step, when it is determined that the maximum value of the decrease incremental unit price is larger than the minimum value of the increase incremental unit price, the increase incremental unit price in the increase incremental unit price having the minimum value of the increase incremental unit price is Among the end points that are the maximum range that does not change and the end points that are the maximum range in which the lower increment unit price does not change in the lower increment unit price that has the maximum value of the lower increment unit price, the end point with the smaller change amount is included. For the incremental unit price to be changed, the power when the incremental unit price is changed to the end point is assumed to be the power to be changed, and the power generation of the power generation facility with the increased incremental unit price having the minimum value of the increased incremental unit price is increased by the amount of the changed power and the power to be changed. And a third step of reducing the power generation of the power generation equipment having the maximum unit price of the lower incremental unit by the amount to obtain a new load distribution, and further comprising the third step from the first step to the third unit The steps up to the step are repeated until it is determined in the second step that the maximum value of the lower incremental unit price is not larger than the minimum value of the increased incremental unit price, and the minimum of the increased incremental unit price is determined in the second step. The load distribution when it is determined that the maximum value of the lower incremental unit price is not larger than the value is output as a solution.
  It is characterized by that.
[0006]
  The invention according to claim 3 is an electric power system for economically allocating outputs of a plurality of power generation facilities to given loads, and an economic load distribution method for consigned power,
  Inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
  Approximating power cost data represented by a concave function that is piecewise linear and monotonically increasing with respect to the power generation output among the power cost data of the plurality of power generation facilities input by the input step;
  From a linear function of power cost data approximated by the approximating step, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function Calculating an initial load distribution that minimizes power costs;
  Comparison of the incremental unit price of the power cost data from the initial load distribution calculated so that the power cost is minimized by the calculating step and the power cost data of the plurality of power generation facilities input by the inputting step A sequential calculation step of sequentially calculating the load distribution in which the power cost is reduced from the current until the power cost is not reduced,
  With respect to the load distribution calculated at each predetermined calculation cycle, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities, and this correctable range Modifying the load distribution within
  The sequential calculation step includes a first step of calculating an increase unit price in the direction of increasing the output from the current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and calculation in the first step. A second step of comparing a minimum value of the increase unit price and a maximum value of the decrease increment unit price to determine whether the maximum value of the decrease increment unit price is larger than the minimum value of the increase unit price; As a result of the second step, when it is determined that the maximum value of the decrease incremental unit price is larger than the minimum value of the increase incremental unit price, the increase incremental unit price in the increase incremental unit price having the minimum value of the increase incremental unit price is Among the end points that are the maximum range that does not change and the end points that are the maximum range in which the lower increment unit price does not change in the lower increment unit price that has the maximum value of the lower increment unit price, the end point with the smaller change amount is included. For the incremental unit price to be changed, the power when the incremental unit price is changed to the end point is assumed to be the power to be changed, and the power generation of the power generation facility of the increased incremental unit price having the minimum value of the increased incremental unit price is increased by the amount of the changed power and And a third step of reducing the power generation of the power generation equipment having the maximum unit price of the decrease increment by the amount to obtain a new load distribution, and further, from the first step to the third step The steps up to the step are repeated until it is determined that the maximum value of the lower incremental unit price is not larger than the minimum value of the increased incremental unit price in the second step, and the minimum of the increased incremental unit price is determined in the second step. Output the load distribution when it is determined that the maximum value of the lower incremental unit price is not larger than the value as a solution,
  The correcting step determines whether or not current output values of the plurality of power generation facilities satisfy a constraint condition defined by a current output value and output change rate data of the plurality of power generation facilities, and satisfies the constraint condition. The power generation equipment with the largest constraint violation amount is selected from the power generation facilities that are not, and the power generation output of the power generation equipment with the largest constraint violation amount is fixed to the constraint boundary value that satisfies the above-mentioned restriction conditions, and the power generation output of the other power generation equipment Is adjusted to a value that maintains the supply-demand balance by adjusting the supply-demand imbalance that occurs when the power generation output of the power generation facility with the largest constraint violation amount is fixed.
  It is characterized by that.
[0007]
  The invention according to claim 4 is a power system for economically allocating outputs of a plurality of power generation facilities to a given load and an economic load distribution device for consigned power.
  Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
  Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
  A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
  From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data Load distribution adjustment means to calculate the load distribution where the power cost is reduced from the present by the comparison until the power cost does not decreaseAnd
  The load distribution adjustment means includes a first step of calculating an increase unit price in the direction of increasing an output from a current output and a decrease increment unit price in a direction of decreasing the output for the power cost data, and the first step. A second step of comparing the minimum value of the increase unit price of the increase and the maximum value of the decrease unit price of the calculated value, and determining whether the maximum value of the decrease increment unit price is greater than the minimum value of the increase unit price; If it is determined as a result of the second step that the maximum value of the lower incremental unit price is greater than the minimum value of the increased incremental unit price, the increased incremental unit price in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point with the smaller change amount among the end point which is the maximum range where the change does not change and the end point which is the maximum range where the decrease increment unit price does not change in the decrease increment unit price having the maximum value of the decrease increment unit price For the increment unit price, the power when the increment unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation having the minimum value of the increase increment unit price is increased by the amount of the changed power and the power to be changed. Performing a third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount, and further from the first step to the third step Until the maximum value of the lower incremental unit price is determined not to be larger than the minimum value of the increased incremental unit price in the second step, and the minimum value of the increased incremental unit price is determined in the second step. Output the load distribution when it is determined that the maximum value of the lower incremental unit price is not larger thanIt is characterized by that.
[0008]
  The invention according to claim 5 is a power system for economically allocating outputs of a plurality of power generation facilities to a given load and an economic load distribution device for consigned power.
  Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
  Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
  A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
  From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data Load distribution adjustment means for sequentially calculating the load distribution in which the power cost is reduced from the present by the comparison until the power cost does not decrease,
  With respect to the load distribution calculated by the load distribution adjusting means at predetermined calculation cycles, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities. , Load distribution correcting means for correcting the load distribution within the correctable rangeAnd
  The load distribution adjustment means includes a first step of calculating an increase unit price in the direction of increasing an output from a current output and a decrease increment unit price in a direction of decreasing the output for the power cost data, and the first step. A second step of comparing the minimum value of the increase unit price of the increase and the maximum value of the decrease unit price of the calculated value, and determining whether the maximum value of the decrease increment unit price is greater than the minimum value of the increase unit price; If it is determined as a result of the second step that the maximum value of the lower incremental unit price is greater than the minimum value of the increased incremental unit price, the increased incremental unit price in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point with the smaller change amount among the end point which is the maximum range where the change does not change and the end point which is the maximum range where the decrease increment unit price does not change in the decrease increment unit price having the maximum value of the decrease increment unit price For the increment unit price, the power when the increment unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation having the minimum value of the increase increment unit price is increased by the amount of the changed power and the power to be changed. Performing a third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount, and further from the first step to the third step Until the maximum value of the lower incremental unit price is determined not to be larger than the minimum value of the increased incremental unit price in the second step, and the minimum value of the increased incremental unit price is determined in the second step. Output the load distribution when it is determined that the maximum value of the lower incremental unit price is not larger thanIt is characterized by that.
[0009]
  The invention according to claim 6 is a power system for economically allocating outputs of a plurality of power generation facilities to given loads, and an economic load distribution device for consigned power.
  Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
  Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
  A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
  From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data Load distribution adjustment means for sequentially calculating the load distribution in which the power cost is reduced from the present by the comparison until the power cost does not decrease,
  With respect to the load distribution calculated by the load distribution adjusting means at predetermined calculation cycles, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities. Load distribution correcting means for correcting the load distribution within the correctable range,
  The load distribution adjustment means includes a first step of calculating an increase unit price in the direction of increasing an output from a current output and a decrease increment unit price in a direction of decreasing the output for the power cost data, and the first step. A second step of comparing the minimum value of the increase unit price of the increase and the maximum value of the decrease unit price of the calculated value, and determining whether the maximum value of the decrease increment unit price is greater than the minimum value of the increase unit price; If it is determined as a result of the second step that the maximum value of the lower incremental unit price is greater than the minimum value of the increased incremental unit price, the increased incremental unit price in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point with the smaller change amount among the end point which is the maximum range where the change does not change and the end point which is the maximum range where the decrease increment unit price does not change in the decrease increment unit price having the maximum value of the decrease increment unit price For the increment unit price, the power when the increment unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation having the minimum value of the increase increment unit price is increased by the amount of the changed power and the power to be changed. Performing a third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount, and further from the first step to the third step Until the maximum value of the lower incremental unit price is determined not to be larger than the minimum value of the increased incremental unit price in the second step, and the minimum value of the increased incremental unit price is determined in the second step. Output the load distribution when it is determined that the maximum value of the lower incremental unit price is not larger than
  The load distribution correcting means determines whether or not the current output values of the plurality of power generation facilities satisfy a constraint defined by the current output values and output change rate data of the plurality of power generation facilities,
  Choose the power generation facility that does not satisfy the constraint conditions with the largest constraint violation amount, fix the power generation output of the power generation facility with the largest constraint violation amount to a constraint boundary value that satisfies the constraint conditions, and others To adjust the power supply output of the power generation facility in the power generation facility to a value that maintains the supply-demand balance by adjusting the supply-demand imbalance that occurs when the power generation output of the power generation facility with the largest amount of constraint violation is fixed.
  It is characterized by.
[0010]
  The invention according to claim 7 is a program for causing a computer to function as a power system for economically allocating outputs of a plurality of power generation facilities to given loads and an economic load distribution device for consigned power.
  Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
  Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
  A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
  From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data As a load distribution adjustment means to calculate the load distribution where the power cost is reduced from the present by the comparison until the power cost does not decreaseMake the computer work,
  Further, the load distribution adjusting means includes a first step of calculating an increment unit price in the direction of increasing the output from a current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and the first step A second value that is calculated in the process is compared with a minimum value of the increase unit price and a maximum value of the decrease unit price to determine whether the maximum value of the decrease unit price is greater than the minimum value of the increase unit price; When the maximum value of the lower incremental unit price is determined to be larger than the minimum value of the increased incremental unit price as a result of the step and the second step, the increase is performed in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point that is the maximum range in which the increment unit price does not change and the end point that is the maximum range in which the decrease increment unit price does not change in the decrease increment unit price that has the maximum value of the decrease increment unit price, the change amount is small. For the incremental unit price having the other end point, the power when the incremental unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation facility having the minimum value of the increased incremental unit price is increased by this changed power. A third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount of the electric power to be changed, and further from the first step to the above The steps up to the third step are repeated until it is determined in the second step that the maximum value of the lower increment unit price is not larger than the minimum value of the increase unit price of the increase, and the increase increment in the second step. The load distribution when it is determined that the maximum value of the decrease incremental unit price is not larger than the minimum unit price is output as a solution.It is characterized by making a computer function.
  The invention according to claim 8 is a program for causing a computer to function as an economical power distribution device for power distribution and consignment power for economically distributing outputs of a plurality of power generation facilities to given loads.
  Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
  Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
  A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
  From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data Load distribution adjustment means for sequentially calculating the load distribution in which the power cost is reduced from the present by the comparison until the power cost does not decrease,
  With respect to the load distribution calculated by the load distribution adjusting means at predetermined calculation cycles, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities. As load distribution correcting means for correcting the load distribution within the correctable rangeMake the computer work,
  Further, the load distribution adjusting means includes a first step of calculating an increment unit price in the direction of increasing the output from a current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and the first step A second value that is calculated in the process is compared with a minimum value of the increase unit price and a maximum value of the decrease unit price to determine whether the maximum value of the decrease unit price is greater than the minimum value of the increase unit price; When the maximum value of the lower incremental unit price is determined to be larger than the minimum value of the increased incremental unit price as a result of the step and the second step, the increase is performed in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point that is the maximum range in which the increment unit price does not change and the end point that is the maximum range in which the decrease increment unit price does not change in the decrease increment unit price that has the maximum value of the decrease increment unit price, the change amount is small. For the incremental unit price having the other end point, the power when the incremental unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation facility having the minimum value of the increased incremental unit price is increased by this changed power. A third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount of the electric power to be changed, and further from the first step to the above The steps up to the third step are repeated until it is determined in the second step that the maximum value of the lower increment unit price is not larger than the minimum value of the increase unit price of the increase, and the increase increment in the second step. The load distribution when it is determined that the maximum value of the decrease incremental unit price is not larger than the minimum unit price is output as a solution.It is characterized by making a computer function.
[0011]
  The invention according to claim 9 is a program for causing a computer to function as a power system for economically allocating outputs of a plurality of power generation facilities to given loads and an economic load distribution device for consigned power.
  Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
  Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
  A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
  From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data Load distribution adjustment means that sequentially calculates load distribution where power cost is reduced from the currentMake your computer work,
  Further, the load distribution adjusting means includes a first step of calculating an increment unit price in the direction of increasing the output from a current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and the first step A second value that is calculated in the process is compared with a minimum value of the increase unit price and a maximum value of the decrease unit price to determine whether the maximum value of the decrease unit price is greater than the minimum value of the increase unit price; When the maximum value of the lower incremental unit price is determined to be larger than the minimum value of the increased incremental unit price as a result of the step and the second step, the increase is performed in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point that is the maximum range in which the increment unit price does not change and the end point that is the maximum range in which the decrease increment unit price does not change in the decrease increment unit price that has the maximum value of the decrease increment unit price, the change amount is small. For the incremental unit price having the other end point, the power when the incremental unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation facility having the minimum value of the increased incremental unit price is increased by this changed power. A third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount of the electric power to be changed, and further from the first step to the above The steps up to the third step are repeated until it is determined in the second step that the maximum value of the lower increment unit price is not larger than the minimum value of the increase unit price of the increase, and the increase increment in the second step. Output the load distribution when it is determined that the maximum value of the decrease incremental unit price is not larger than the minimum unit price, as a solution,
  With respect to the load distribution calculated by the load distribution adjusting means at predetermined calculation cycles, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities. As a load distribution correction means for correcting the load distribution within the correctable range, a constraint condition in which current output values of the plurality of power generation facilities are determined by current output values and output change speed data of the plurality of power generation facilities is provided. Judgment is made as to whether or not the constraint condition is satisfied, and the power generation facility that does not satisfy the constraint condition is selected with the maximum constraint violation amount, and the power generation output of the power generation facility with the maximum constraint violation amount satisfies the constraint condition Fix the constraint boundary value, and adjust the power output of other power generation facilities to the supply and demand imbalance that occurs when the power generation output of the power generation facility with the largest amount of constraint violation is fixed. And characterized by causing a computer to function so as to modify the value to maintain the supply-demand balance.
[0012]
DETAILED DESCRIPTION OF THE INVENTION
  Embodiments of the present invention will be described below with reference to the drawings.
  FIG. 1 shows a first embodiment of the present invention.soIt is a block diagram of a certain offline type economic load distribution apparatus.
[0013]
As shown in FIG. 1, the economic load distribution device 14 of the present embodiment is based on demand data 2 predicted by the demand prediction system 1, maximum output / minimum output, output change rate of power generation equipment, power generation cost data, and the like. Equipment data storage means 3 for storing the generated power generation data, economic load distribution means 4 for calculating the power generation output data 5 by executing the most economical load distribution from these data, and output data storage for storing the power generation output data 5 It comprises means 6, a display device 7 for displaying the processing results, and an input device 8 for inputting / changing setting data. The demand data 2 may be set by the input device 8. The power generation output data 5 can also be read from the output data storage means 6.
The economic load distribution problem solved by the economic load distribution means 4 is specifically an optimization problem of the following equation.
[0014]
[Expression 1]

[0015]
In this, P_jIs the power generation output data 5 to be determined, and the power cost function f of the power generation facility j_j(P_j) And the maximum output and the minimum output of the power generation equipment j are stored in the equipment data storage means 3, and D is the demand data 2.
[0016]
Here, the power cost of the power generation equipment f_j(P_j) Is given as a smooth and downwardly convex function with respect to the power output, such as fuel cost, the equal incremental fuel cost law holds, and the lambda iteration method (eg, AJ Wood et al .: " Power Generation Operation and Control, 2nd Edition. "John Wiley & Sons, Inc. pp.39), the optimal power output can be calculated. This power cost f_j(P_j) Is expressed by a piecewise linear convex function with respect to power output (eg, AJ Wood et al .: “Power Generation Operation and Control, 2nd Edition.” John Wiley & Sons, Inc. pp.49), the optimal power generation output can be calculated.
However, the power cost of the power generation equipment f_j(P_j) Is not a convex function, the same calculation method cannot be used to calculate the power generation output with the lowest cost.
[0017]
The economic load distribution device 14 of FIG. 1 displays the menu screen 100 shown in FIG. The menu screen 100 includes a demand data setting button 101 for displaying the demand setting screen, an equipment data setting button 102 for displaying the equipment data input screen, and an operation stop setting button 103 for setting the operation stop of the power generation equipment. And an economic load distribution execution button 104 for executing the economic load distribution calculation and a result display button 105 for displaying the economic load distribution result are arranged, and each process is performed according to the input from the input device 6. Execute.
[0018]
For example, when the demand data setting button 101 is selected from the menu screen 100 in FIG. 2, the demand setting screen 110 in FIG. 3 is displayed on the display device 7. The demand setting screen 110 stores the date setting area 111 for setting the date, the prediction reading button 112 for reading the demand data 2 predicted by the demand prediction system 1 of FIG. 1, and the demand prediction system 1. The actual demand reading button 113 for reading the actual demand data, the demand display / setting area 114 for displaying the read demand data or setting the demand data from the input device 6, and the set demand data as a graph A graph display area 115 to be displayed and a setting end button 116 for ending the setting of demand data and returning to the menu screen 100 are arranged.
[0019]
By default, the date of the next day is set in the date setting area 111. When this date is changed, the date set in the area is changed by the input device 6.
[0020]
When the prediction reading button 112 is selected, the demand data of the set date predicted by the demand prediction system 1 is read from the demand prediction system 1 and the read demand data is displayed in the demand display / setting area 114. If the demand forecast data for the set date does not exist, an error message indicating that the demand forecast data does not exist is displayed.
[0021]
When the result reading button 113 is selected, the demand result data of the set date stored in the demand prediction system 1 is read from the demand prediction system 1 and the read demand data is displayed in the demand display / setting area 114. When the demand record data for the set date does not exist, an error message indicating that the demand record data does not exist is displayed.
[0022]
It is also possible to set demand data directly from the input device 6 to the demand display / setting area 114.
The set demand data is displayed in a graph in the graph display area 115 and can be visually confirmed.
When the setting end button 116 is selected, the menu screen of FIG.
[0023]
When the equipment data setting button 102 is selected from the menu screen 100 of FIG. 2, the equipment data setting screen 120 of FIG. 4 is displayed.
The facility data setting screen 120 displays an area 121 for setting the name of the power generation facility, an area 122 for setting the maximum output of the power generation facility, an area 123 for setting the minimum output of the power generation facility, and the output change rate of the power generation facility. A region 124 to be set, a region 125 to set a first output for inputting a piecewise linear power cost characteristic of the power generation facility at an end point, a region 126 to set a first cost, and a region 127 to set a second output And an area 128 for setting the second cost. Up to eight sets of output and cost can be set, and by scrolling the screen with the button 129, it is possible to set up to the eighth input and the eighth cost. In addition, for example, up to 100 power generation facilities can be registered. In this case, by scrolling the screen with the button 130, facility data for up to 100 facilities can be set.
[0024]
The equipment data input from the equipment data setting screen 120 by the input means 6 is stored in the equipment data storage means 3 by selecting the end button 131, and the menu screen of FIG.
[0025]
When the operation stop setting button 103 is selected from the menu screen 100 of FIG. 2, an operation stop setting screen 140 of FIG. 5 is displayed.
On the operation stop setting screen 140, an area 141 for setting the operation stop of the power generation equipment according to the name and time of the power generation equipment, an area 142 for displaying the demand data, and a total value of the maximum outputs of the power generation equipment in operation are displayed. An area 143 to be displayed, an area 144 to display the total value of the minimum outputs of the operating power generation equipment, and a setting end button 145 are arranged. By scrolling the screen up and down with the button 146, it is possible to set the operation stop from 0:00 to 24:00. In addition, by scrolling the screen left and right with the button 147, it is possible to set up to 100 power generation facilities to be stopped.
[0026]
In addition, when the total value of the maximum output of the power generation facilities displayed in the area 143 is smaller than the demand data displayed in the area 142, the area is displayed in red and economic load distribution is impossible. It shows that. Similarly, when the total value of the minimum output of the power generation equipment displayed in the area 144 is larger than the demand data displayed in the area 142, the area is displayed in red and economic load distribution is impossible. It shows that.
[0027]
When the setting end button 145 is selected, the menu screen of FIG. At this time, if there is a time at which the economic load cannot be allocated, an error message to that effect is displayed.
[0028]
When the economic load distribution execution button 104 is selected from the menu screen of FIG. 2, the economic load distribution means 4 of FIG. 1 is executed, and the power generation output data 5 as a calculation result is stored in the output data storage means 6.
[0029]
FIG. 6 is a flowchart showing the operation of the economic load distribution means 4 by the economic load distribution apparatus of FIG. The operation of the economic load distribution means 4 in FIG. 1 will be described below with reference to the flowchart in FIG.
[0030]
In step S1, the power cost data stored in the facility data storage means 3 is linearly approximated in the output range with respect to the power generation facility whose power cost is represented by a concave function of the output.
[0031]
Here, the cost data of the power generation facility in which the power cost is expressed by a concave function of the output will be described with reference to the graph of FIG. 7, where 200 indicates a piecewise linear cost function, and the outputs x1, x2,. . . , Xn [kW] corresponding to power costs y1, y2,. . . , Yn [yen / h], the maximum output is xn, and the minimum output is x1. Reference numeral 201 denotes a linearly approximated power cost function, which is represented by data (x1, y1) and (xn, yn) of two points of minimum output and maximum output.
Since the power costs of all the power generation facilities are expressed by a piecewise linear convex function by the processing of step S1, it can be optimized by the incremental method.
[0032]
In step S2, the output of the power generation equipment that minimizes the total power cost is determined from these data by an incremental method. The output of the power generation equipment determined here is the output with the minimum cost for the approximate power generation cost.
[0033]
Steps S3 to S5 are an iterative calculation routine that repeats the calculation until the determination condition of step S4 is satisfied. When the determination condition is satisfied, the process goes to step 6 to end the iteration. Since the power generation output calculated in step S2 solves a problem approximating a part of the power cost, it may not be an optimal solution. If possible by this iterative calculation, the optimal solution is obtained by improving the sequential solution.
[0034]
In step S3, from the power cost data stored in the equipment data storage means 3, the incremental unit price in the direction of increasing the output from the current output (increased unit price) Δf_j ^upAnd incremental unit price in the direction of decreasing output (decrease unit price) Δf_j ^downAnd calculate.
[0035]
Here, FIG. 8, which is a graph showing the unit price of the power cost data, will be described. Then,
cr1 = (y2-y1) / (x2-x1),
cr2 = (y3-y2) / (x3-x2),
cr3 = (y4-y3) / (x4-x3)
It is.
[0036]
Since 210 is on the point (x2, y2), the increment price for the increase is cr2 and the increment price for the decrease is cr1. Since 211 is on the section (x2, x3), both the increase unit price and the decrease unit price are cr2. Since 212 is on the point (x1, y1), the increase unit price is cr1, but there is no decrease increment unit price. In such a case, the decrease incremental unit price is defined as 0. Also, since 213 is on the point (x4, y4), the decrease increment unit price is cr3, but there is no increase increment unit price. In such a case, the increment price is defined as + ∞.
[0037]
In the next step S4, it is determined whether or not the solution can be further improved. Among all power generation facilities, minimum increase unit price min {Δf_j ^up} And the maximum value of the incremental price per unit decrease max {Δf_j ^down}
min {Δf_j ^up}>max {Δf_j ^down}
If so, go to step S6 to output the solution and end the calculation.
[0038]
Otherwise, J₁= arg min {Δf_j ^up} Power generation and J₂= arg max {Δf_j ^down} You can improve the solution by switching to power generation. If the power to change is ΔP [kW], J₁Increase power generation by ΔP,₂If the power generation of is reduced by ΔP, Δf_J1 ^up <Δf_J2 ^downSo, (Δf_J1 ^up−Δf_J2 ^down) Power cost increases by ΔP <0. That is, the power cost is reduced.
[0039]
In step S5, the above change is performed. Since the power ΔP to be switched must be within a range where the direction of the inequality sign does not change, the maximum power at which any incremental unit price does not change, that is, the smaller of the amount of change up to the end of each power generation becomes ΔP.
[0040]
When step S5 ends, the process returns to step S3 again, and the incremental unit price is calculated. At this time, only for the power generation whose output has been changed in step S5, it is only necessary to newly calculate the incremental unit price, and since the incremental unit price of other power generations does not change, the previously calculated value may be used as it is.
[0041]
The optimal load distribution is calculated by the above steps S1 to S6. Further, as described above, further improvement of load distribution can be easily performed by using a medium in which a program for economically distributing a given load is recorded.
When the result display button 105 is selected from the menu screen 100 of FIG. 2, the result display screen 150 of FIG. 9 is displayed on the display device 7.
[0042]
The result display screen 150 includes an area 151 for displaying the power generation output of the power generation equipment according to the name and time of the power generation equipment, an area 152 for displaying demand data, an area 153 for displaying the total value of the power generation output, and an end button. 154 is arranged. By scrolling the screen up and down with the button 155, the power generation output from 0:00 to 24:00 can be displayed. In addition, by scrolling the screen left and right with the button 156, the power generation output of up to 100 power generation facilities can be displayed.
[0043]
Moreover, by selecting the name 157 of the power generation facility via the input device 6, the power generation output graph of the power generation facility is displayed.
When the end button 154 is selected, the menu screen of FIG.
[0044]
When the name 157 of the power generation facility is selected from the result display screen 150 of FIG. 9, the power generation facility output graph screen 160 of FIG. 10 is displayed.
On the power generation facility output graph screen 160, an area 161 for displaying the power generation output of the power generation facility according to the name and time of the power generation facility, an area 162 for displaying the power generation output in a graph, and an end button 163 are arranged. By scrolling the region where the power generation output is displayed with the button 164 in the vertical direction, the power generation output from 0:00 to 24:00 can be displayed. In the graph display area 162, the power generation output of the power generation facility is displayed in a graph with time on the horizontal axis and output on the vertical axis, and the operation of the power generation facility can be visually confirmed.
When the end button 163 is selected, the screen returns to the result display screen 150 of FIG.
[0045]
  FIG. 11 shows a second embodiment of the present invention.soIt is a block diagram of a certain on-line economic load distribution device.
  In FIG. 11, the economic load distribution device 14 stores the power generation data including the demand data 2 predicted by the demand prediction system 1, the maximum output / minimum output of the power generation facility, the output change rate, and the power generation cost data. Data storage means 3, economic load distribution means 4 for calculating power generation output data 5 by executing the most economical load distribution from these data, input device 8 for inputting / changing setting data, power generation output It comprises load distribution correcting means 9 for calculating the power generation output command value 10 from the data 5 and the power generation output value 13 which is the current output value of the power generation facility. The power generation output command value 10 calculated here is transmitted to the power generation facility control device 11 that controls the power generation facility, and the power generation facility is controlled according to the command value.
[0046]
The online economic load distribution device according to the present embodiment performs load distribution calculation by the offline economic load distribution device according to the first embodiment on demand data at a cross section at one o'clock according to a certain calculation cycle. The power generation output command value 10 obtained by correcting the power generation output data with the power generation output value 13 of the current power generation facility is transmitted to the control device 11 of the power generation facility.
The load distribution correcting means 9 corrects the power generation output data 5 so as to satisfy the following expression.
[0047]
[Expression 2]

[0048]
FIG. 12 is a flowchart showing the operation of the load distribution correcting means 9 by the economic load distribution apparatus of FIG.
Hereinafter, the operation of the load distribution correcting means 9 of FIG. 11 will be described using the flowchart of FIG.
[0049]
In step S11, the power generation output value P of all power generation facilities_jChecks whether the constraint condition of the expression (2) is satisfied. If satisfied, go to step S14 and P_jAnd exit. Otherwise, go to step S12.
[0050]
In step S12, the power generation facility with the largest constraint violation amount is selected from the power generation facilities that do not satisfy the constraint condition of equation (2), and the power generation output of the power generation facility is fixed to the boundary value of the constraint. In other words, the power generation equipment with the largest amount of constraint violation
[Equation 3]

And
[0051]
In step S13, the supply / demand imbalance caused by increasing / decreasing the power generation output of the power generation facility J is adjusted to maintain the supply / demand balance again. If the power generation is insufficient in step S12, the power generation output of the power generation facility whose output is not fixed using the incremental method is increased in order from the lowest incremental unit price to balance supply and demand. On the other hand, if the power generation becomes excessive due to step S12, the power generation output of the power generation equipment whose output is not fixed is decreased in descending order of the increment unit price to balance supply and demand.
When step S13 ends, the process returns to step S11 again, and is repeated until all the power generation facilities satisfy the constraint condition of equation (2).
[0052]
Economic load distribution in the range in which online control is possible is possible by the above steps S11 to S14. Further, as described above, further improvement of load distribution can be easily performed by using a medium in which a program for economically distributing a given load is recorded.
[0053]
  FIG. 13 shows a third embodiment of the present invention.soIt is a block diagram of a certain on-line economic load distribution device.
  In FIG. 13, the economic load distribution device 14 stores the power generation data including the demand data 2 predicted by the demand prediction system 1, the maximum output / minimum output of the power generation facility, the output change rate, and the power generation cost data. An economy for calculating the power generation output command value 10 by executing the most economical load distribution within the range in which online control is possible from the data storage means 3 and the power generation output value 13 which is the current output value of the data and the power generation equipment. The load distribution means 4 and an input device 8 for inputting / changing setting data are configured. The power generation output command value 10 calculated here is transmitted to the power generation facility control device 11 that controls the power generation facility, and the power generation facility is controlled according to the command value.
[0054]
In the on-line economic load distribution device according to the present embodiment, the constraint condition (1c) of the optimization problem of the formula (1) is corrected to the following formula for the demand at the 1 o'clock section according to a certain calculation cycle. Then, load distribution calculation is performed by the offline economic load distribution apparatus according to the first embodiment, and the power generation output command value 10 is transmitted to the control apparatus 11 of the power generation facility.
[0055]
[Expression 4]

[0056]
Since this problem is a problem in which the maximum output and the minimum output of the power generation facility are corrected by the current output and the output change speed, the range that can be controlled online by the economic load distribution means 4 by the economic load distribution device of the first embodiment. The economic load distribution can be performed at the same time, and the calculated power generation output data can be directly used as the power generation output command value.
[0057]
Also in this embodiment, as in the first embodiment, load distribution can be easily improved by causing a program to execute a method for economically distributing a given load.
[0058]
【The invention's effect】
  As described above, according to the present invention, a plurality of power generation facilities including a power generation facility whose power cost is given by a convex function of power generation output and a power generation facility whose power cost is given by a concave function of power generation output. Thus, it is possible to perform load distribution such that the total power cost is minimized for a given load.In addition, it is possible to distribute the economic load within the range where online control is possible.
[Brief description of the drawings]
FIG. 1 is a block diagram of an economic load distribution device according to a first embodiment of the present invention.
FIG. 2 is a menu screen of the economic load distribution apparatus of FIG.
FIG. 3 is a demand data setting screen of FIG. 2;
FIG. 4 is an equipment data setting screen of FIG.
5 is an operation stop setting screen of FIG.
FIG. 6 is a flowchart showing the processing contents of the economic load distribution means according to the present invention.
FIG. 7 is a graph that linearly approximates a concave function of power cost.
FIG. 8 is a graph for explaining an increase / decrease unit price of power cost.
9 is a calculation result display screen of FIG.
FIG. 10 is a power generation facility output graph screen in which the name of the power generation facility in FIG. 9 is selected.
FIG. 11 is a block diagram of an economic load distribution device according to a second embodiment of the present invention.
12 is a flowchart showing the processing contents of the load distribution correcting means in FIG. 11;
FIG. 13 is a block diagram of an economic load distribution device according to a third embodiment of the present invention.
[Explanation of symbols]
DESCRIPTION OF SYMBOLS 1 ... Demand prediction system, 2 ... Demand data, 3 ... Equipment data storage means, 4 ... Economic load distribution means, 5 ... Power generation output data, 6 ... Output data storage means, 7 ... Display device, 8 ... Input device, 9 ... Load distribution correcting means, 10 ... power generation output command value, 11 ... power generation equipment control means, 12 ... power generation equipment, 13 ... power generation output value, 14 ... economic load distribution device, 100 ... menu screen, 101 ... demand data setting button, 102 ... equipment data setting button, 103 ... operation stop setting button, 104 ... economic load distribution calculation execution button, 105 ... calculation result display button, 110 ... demand setting screen, 111 ... date setting area, 112 ... prediction read button, 113 ... results Read button 114 ... Demand display / setting area 115 ... Graph display area 116,131,145,154,163 ... End button 120 ... Equipment data 121 ... Power generation equipment name setting area, 122 ... Maximum output setting area, 123 ... Minimum output setting area, 124 ... Output change speed setting area, 125 ... First output setting area, 126 ... First cost setting area, 127: First output setting area, 128: First cost setting area, 129, 146, 155, 164 ... Up / down scroll buttons, 130, 147, 156 ... Left / right scroll buttons, 140 ... Operation stop setting screen, 141 ... Operation stop setting Area, 142, 152 ... demand data display area, 143 ... maximum output total value display area, 144 ... minimum output total value display area, 150 ... result display screen, 151 ... power generation output display area, 153 ... power generation output total value display area 157 ... Power generation facility name display area, 160 ... Power generation facility output graph screen, 161 ... Power generation output display area, 162 ... Power generation Power graph display area.

Claims (9)

In an electric power system for economically allocating outputs of a plurality of power generation facilities to a given load and an economic load allocating method for consigned power,
Inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
Approximating power cost data represented by a concave function that is piecewise linear and monotonically increasing with respect to the power generation output among the power cost data of the plurality of power generation facilities input by the input step;
From a linear function of power cost data approximated by the approximating step, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function Calculating an initial load distribution that minimizes power costs;
Comparison of the incremental unit price of the power cost data from the initial load distribution calculated so that the power cost is minimized by the calculating step and the power cost data of the plurality of power generation facilities input by the inputting step Sequentially calculating the load distribution in which the power cost is reduced from the current until the power cost is not reduced ,
The step of calculating sequentially includes a first step of calculating an increase unit price in the direction of increasing the output from a current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and the first step. A second step of comparing the minimum value of the increase unit price of the increase and the maximum value of the decrease unit price of the calculated value, and determining whether the maximum value of the decrease increment unit price is greater than the minimum value of the increase unit price; If it is determined as a result of the second step that the maximum value of the lower incremental unit price is greater than the minimum value of the increased incremental unit price, the increased incremental unit price in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point with the smaller change amount among the end point which is the maximum range where the change does not change and the end point which is the maximum range where the decrease increment unit price does not change in the decrease increment unit price having the maximum value of the decrease increment unit price For the increment unit price, the power at the time of changing the increment unit price to the end point is changed to the power to be changed. And a third step of reducing the power generation of the power generation equipment having the maximum unit price of the lower incremental unit by the amount to obtain a new load distribution, and further comprising the third step from the first step to the third unit The steps up to the step are repeated until it is determined in the second step that the maximum value of the lower incremental unit price is not larger than the minimum value of the increased incremental unit price, and the minimum of the increased incremental unit price is determined in the second step. power system and wheeling power and outputs the load distribution when the maximum value of the lowered incremental unit cost than the value is not greater as a solution Economic load distribution method. In an electric power system for economically allocating outputs of a plurality of power generation facilities to a given load and an economic load allocating method for consigned power,
Inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
Approximating power cost data represented by a concave function that is piecewise linear and monotonically increasing with respect to the power generation output among the power cost data of the plurality of power generation facilities input by the input step;
From a linear function of power cost data approximated by the approximating step, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function Calculating an initial load distribution that minimizes power costs;
Comparison of the incremental unit price of the power cost data from the initial load distribution calculated so that the power cost is minimized by the calculating step and the power cost data of the plurality of power generation facilities input by the inputting step A sequential calculation step of sequentially calculating the load distribution in which the power cost is reduced from the current until the power cost is not reduced,
With respect to the load distribution calculated at each predetermined calculation cycle, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities, and this correctable range Modifying the load distribution within
Only including,
The sequential calculation step includes a first step of calculating an increase unit price in the direction of increasing the output from the current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and calculation in the first step. A second step of comparing a minimum value of the increase unit price and a maximum value of the decrease increment unit price to determine whether the maximum value of the decrease increment unit price is larger than the minimum value of the increase unit price; As a result of the second step, when it is determined that the maximum value of the decrease incremental unit price is larger than the minimum value of the increase incremental unit price, the increase incremental unit price in the increase incremental unit price having the minimum value of the increase incremental unit price is Among the end points that are the maximum range that does not change and the end points that are the maximum range in which the lower increment unit price does not change in the lower increment unit price that has the maximum value of the lower increment unit price, the end point with the smaller change amount is included. For the incremental unit price to be changed, the power when the incremental unit price is changed to the end point is assumed to be the power to be changed, and the power generation of the power generation facility with the increased incremental unit price having the minimum value of the increased incremental unit price is increased by the amount of the changed power and the power to be changed. And a third step of reducing the power generation of the power generation equipment having the maximum unit price of the lower incremental unit by the amount to obtain a new load distribution, and further comprising the third step from the first step to the third unit The steps up to the step are repeated until it is determined in the second step that the maximum value of the lower incremental unit price is not larger than the minimum value of the increased incremental unit price, and the minimum of the increased incremental unit price is determined in the second step. after the electric power system and wheeling power and outputs the load distribution when the maximum value of the lowered incremental unit cost than the value is not greater as a solution Load distribution method. In an electric power system for economically allocating outputs of a plurality of power generation facilities to a given load and an economic load allocating method for consigned power,
Inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
Approximating power cost data represented by a concave function that is piecewise linear and monotonically increasing with respect to the power generation output among the power cost data of the plurality of power generation facilities input by the input step;
From a linear function of power cost data approximated by the approximating step, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function Calculating an initial load distribution that minimizes power costs;
Comparison of the incremental unit price of the power cost data from the initial load distribution calculated so that the power cost is minimized by the calculating step and the power cost data of the plurality of power generation facilities input by the inputting step A sequential calculation step of sequentially calculating the load distribution in which the power cost is reduced from the current until the power cost is not reduced,
With respect to the load distribution calculated at each predetermined calculation cycle, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities, and this correctable range Modifying the load distribution within
The sequential calculation step includes a first step of calculating an increase unit price in the direction of increasing the output from the current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and calculation in the first step. A second step of comparing a minimum value of the increase unit price and a maximum value of the decrease increment unit price to determine whether the maximum value of the decrease increment unit price is larger than the minimum value of the increase unit price; As a result of the second step, when it is determined that the maximum value of the decrease incremental unit price is larger than the minimum value of the increase incremental unit price, the increase incremental unit price in the increase incremental unit price having the minimum value of the increase incremental unit price is Among the end points that are the maximum range that does not change and the end points that are the maximum range in which the lower increment unit price does not change in the lower increment unit price that has the maximum value of the lower increment unit price, the end point with the smaller change amount is included. For the incremental unit price to be changed, the power when the incremental unit price is changed to the end point is assumed to be the power to be changed, and the power generation of the power generation facility with the increased incremental unit price having the minimum value of the increased incremental unit price is increased by the amount of the changed power and the power to be changed. And a third step of reducing the power generation of the power generation equipment having the maximum unit price of the lower incremental unit by the amount to obtain a new load distribution, and further comprising the third step from the first step to the third unit The steps up to the step are repeated until it is determined in the second step that the maximum value of the lower incremental unit price is not larger than the minimum value of the increased incremental unit price, and the minimum of the increased incremental unit price is determined in the second step. Output the load distribution when it is determined that the maximum value of the decrease incremental unit price is not larger than the value as a solution,
In the correcting step, it is determined whether the current output values of the plurality of power generation facilities satisfy a constraint condition defined by the current output values and output change rate data of the plurality of power generation facilities, and the constraint condition is satisfied. The power generation equipment with the largest constraint violation amount is selected from the power generation equipment that have not been used. Is adjusted to a value that maintains the supply-demand imbalance by adjusting the supply-demand imbalance that accompanies the fixation of the power generation output of the power generation facility with the largest constraint violation amount, and an economic load distribution method for consigned power. In the power system for economically allocating the output of a plurality of power generation facilities to a given load and the economic load distribution device for consigned power,
Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data Load distribution adjustment means for sequentially calculating the load distribution in which the power cost is reduced from the present by the comparison until the power cost does not decrease ,
The load distribution adjustment means includes a first step of calculating an increase unit price in the direction of increasing an output from a current output and a decrease increment unit price in a direction of decreasing the output for the power cost data, and the first step. A second step of comparing the minimum value of the increase unit price of the increase and the maximum value of the decrease unit price of the calculated value, and determining whether the maximum value of the decrease increment unit price is greater than the minimum value of the increase unit price; If it is determined as a result of the second step that the maximum value of the lower incremental unit price is greater than the minimum value of the increased incremental unit price, the increased incremental unit price in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point with the smaller change amount among the end point which is the maximum range where the change does not change and the end point which is the maximum range where the decrease increment unit price does not change in the decrease increment unit price having the maximum value of the decrease increment unit price For the increment unit price, the power at the time of changing the increment unit price to the end point is changed to the power to be changed. Performing a third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the maximum value of the lower incremental unit price by the amount, and further from the first step to the third step. Until the maximum value of the lower incremental unit price is determined not to be larger than the minimum value of the increased incremental unit price in the second step, and the minimum value of the increased incremental unit price is determined in the second step. the lower incremental cost per maximum value is not determined to be the time of the power system and wheeling power and outputs the load distribution as a solution of greater than Pre-load distribution device. In the power system for economically allocating the output of a plurality of power generation facilities to a given load and the economic load distribution device for consigned power,
Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data Load distribution adjustment means for sequentially calculating the load distribution in which the power cost is reduced from the present by the comparison until the power cost does not decrease,
With respect to the load distribution calculated by the load distribution adjusting means at predetermined calculation cycles, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities. And load distribution correcting means for correcting the load distribution within the correctable range ,
The load distribution adjustment means includes a first step of calculating an increase unit price in the direction of increasing an output from a current output and a decrease increment unit price in a direction of decreasing the output for the power cost data, and the first step. A second step of comparing the minimum value of the increase unit price of the increase and the maximum value of the decrease unit price of the calculated value, and determining whether the maximum value of the decrease increment unit price is greater than the minimum value of the increase unit price; If it is determined as a result of the second step that the maximum value of the lower incremental unit price is greater than the minimum value of the increased incremental unit price, the increased incremental unit price in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point with the smaller change amount among the end point which is the maximum range where the change does not change and the end point which is the maximum range where the decrease increment unit price does not change in the decrease increment unit price having the maximum value of the decrease increment unit price For the increment unit price, the power at the time of changing the increment unit price to the end point is changed to the power to be changed. Performing a third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the maximum value of the lower incremental unit price by the amount, and further from the first step to the third step. Until the maximum value of the lower incremental unit price is determined not to be larger than the minimum value of the increased incremental unit price in the second step, and the minimum value of the increased incremental unit price is determined in the second step. the lower incremental cost per maximum value is not determined to be the time of the power system and wheeling power and outputs the load distribution as a solution of greater than Pre-load distribution device. In the power system for economically allocating the output of a plurality of power generation facilities to a given load and the economic load distribution device for consigned power,
Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data Load distribution adjustment means for sequentially calculating the load distribution in which the power cost is reduced from the present by the comparison until the power cost does not decrease,
With respect to the load distribution calculated by the load distribution adjusting means at predetermined calculation cycles, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities. Load distribution correcting means for correcting the load distribution within the correctable range,
The load distribution adjustment means includes a first step of calculating an increase unit price in the direction of increasing the output from a current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and the first step. A second step of comparing the minimum value of the increase unit price with the maximum value of the decrease increment unit price among the calculated values and determining whether the maximum value of the decrease increment unit price is greater than the minimum value of the increase unit price; If it is determined that the maximum value of the lower incremental unit price is larger than the minimum value of the increased incremental unit price as a result of the second step, the increased incremental unit price in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point with the smaller change amount among the end point that is the maximum range in which the change does not change and the end point that is the maximum range in which the decrease increment unit price does not change in the decrease increment unit price having the maximum value of the decrease increment unit price For the increment unit price, the power when the increment unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation having the minimum value of the increase increment unit price is increased by the amount of the changed power and the power to be changed. Performing a third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount, and further from the first step to the third step Until the maximum value of the lower incremental unit price is determined not to be larger than the minimum value of the increased incremental unit price in the second step, and the minimum value of the increased incremental unit price is determined in the second step. Output the load distribution when it is determined that the maximum value of the lower incremental unit price is not larger than
The load distribution correcting means determines whether or not the current output values of the plurality of power generation facilities satisfy a constraint defined by the current output values and output change rate data of the plurality of power generation facilities,
Choose the power generation facility that does not satisfy the constraint conditions with the largest constraint violation amount, fix the power generation output of the power generation facility with the maximum constraint violation amount to a constraint boundary value that satisfies the constraint conditions, and others The power system and the consigned power are adjusted to adjust the power supply / demand imbalance that occurs when the power generation output of the power generation equipment with the largest amount of constraint violation is fixed to adjust the power supply output. Economic load distribution device. In a power system for economically allocating the output of a plurality of power generation facilities to a given load and a program for causing a computer to function as an economic load distribution device for consigned power,
Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data The computer functions as a load distribution adjustment means that sequentially calculates the load distribution in which the power cost is reduced from the present by the comparison until the power cost does not decrease ,
Further, the load distribution adjusting means includes a first step of calculating an increment unit price in the direction of increasing the output from a current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and the first step A second value that is calculated in the process is compared with a minimum value of the increase unit price and a maximum value of the decrease unit price to determine whether the maximum value of the decrease unit price is greater than the minimum value of the increase unit price; When the maximum value of the lower incremental unit price is determined to be larger than the minimum value of the increased incremental unit price as a result of the step and the second step, the increase is performed in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point that is the maximum range in which the increment unit price does not change and the end point that is the maximum range in which the decrease increment unit price does not change in the decrease increment unit price that has the maximum value of the decrease increment unit price, the change amount is small. The incremental cost per about increment bid with square end points and power Mochikaeru power in the case of changing to the end point, the Mochikaeru increase the power generation of the power generation facility raised increment bid with the lowest value of the power amount corresponding the raised incremental bid And performing a third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount of power to be changed, and further, from the first step The steps up to the third step are repeated until it is determined in the second step that the maximum value of the decrease incremental unit price is not greater than the minimum value of the increase incremental unit price, and the increase in the second step is performed. for enabling a computer to function so as to output a load distribution when the maximum value of the lowered increment bid is not greater as a solution than the minimum value of the incremental unit price Program. In a power system for economically allocating the output of a plurality of power generation facilities to a given load and a program for causing a computer to function as an economic load distribution device for consigned power,
Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data Load distribution adjustment means for sequentially calculating the load distribution in which the power cost is reduced from the present by the comparison until the power cost does not decrease,
With respect to the load distribution calculated by the load distribution adjusting means at predetermined calculation cycles, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities. , Causing the computer to function as load distribution correcting means for correcting the load distribution within the correctable range ,
Further, the load distribution adjusting means includes a first step of calculating an increment unit price in the direction of increasing the output from a current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and the first step A second value that is calculated in the process is compared with a minimum value of the increase unit price and a maximum value of the decrease unit price to determine whether the maximum value of the decrease unit price is greater than the minimum value of the increase unit price; When the maximum value of the lower incremental unit price is determined to be larger than the minimum value of the increased incremental unit price as a result of the step and the second step, the increase is performed in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point that is the maximum range in which the increment unit price does not change and the end point that is the maximum range in which the decrease increment unit price does not change in the decrease increment unit price that has the maximum value of the decrease increment unit price, the change amount is small. For the incremental unit price having the other end point, the power when the incremental unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation facility having the minimum value of the increased incremental unit price is increased by this changed power. And performing a third step of reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount of power to be changed to obtain a new load distribution, and further, from the first step, The steps up to the third step are repeated until it is determined in the second step that the maximum value of the decrease increment unit price is not larger than the minimum value of the increase increment unit price, and the increase increment is performed in the second step. causing a computer to function so as to output a load distribution when the maximum value of the lowered increment bid is not greater than the minimum value of the bid as a solution Program which is characterized. In a power system for economically allocating the output of a plurality of power generation facilities to a given load and a program for causing a computer to function as an economic load distribution device for consigned power,
Input means for inputting the power cost of the plurality of power generation facilities as power cost data represented by a concave or convex function that is piecewise linear and monotonically increasing with respect to the power generation output;
Concave function approximation means for approximating power cost data expressed by a piecewise linear and monotonically increasing concave function with respect to the power generation output among power cost data of the plurality of power generation facilities input by the input means by a linear function. When,
A linear function of power cost data approximated by the concave function approximating means, and a piecewise linear and monotonically increasing convex function representing power cost data of power generation equipment other than the power cost data approximated by the linear function; From the initial load distribution calculation means for calculating the initial load distribution that minimizes the power cost,
From the initial load distribution value calculated so that the power cost is minimized by the initial load distribution calculation means and the power cost data of the plurality of power generation facilities input by the input means, the incremental unit price of the power cost data compared by cause the computer to function as a load distribution adjusting means power cost is sequentially calculated to the power cost load distribution that decreases the current no longer decreased,
Further, the load distribution adjusting means includes a first step of calculating an increment unit price in the direction of increasing the output from a current output and a decrease increment unit price in the direction of decreasing the output for the power cost data, and the first step A second value that is calculated in the process is compared with a minimum value of the increase unit price and a maximum value of the decrease unit price to determine whether the maximum value of the decrease unit price is greater than the minimum value of the increase unit price; When the maximum value of the lower incremental unit price is determined to be larger than the minimum value of the increased incremental unit price as a result of the step and the second step, the increase is performed in the increased incremental unit price having the minimum value of the increased incremental unit price. The end point that is the maximum range in which the increment unit price does not change and the end point that is the maximum range in which the decrease increment unit price does not change in the decrease increment unit price that has the maximum value of the decrease increment unit price, the change amount is small. For the incremental unit price having the other end point, the power when the incremental unit price is changed to the end point is changed to the power to be changed, and the power generation of the increased incremental unit power generation facility having the minimum value of the increased incremental unit price is increased by this changed power. A third step of obtaining a new load distribution by reducing the power generation of the power generation equipment having the lower incremental unit price having the maximum value of the lower incremental unit price by the amount of the electric power to be changed, and further from the first step to the above The steps up to the third step are repeated until it is determined in the second step that the maximum value of the lower increment unit price is not larger than the minimum value of the increase unit price of the increase, and the increase increment in the second step. Output the load distribution when it is determined that the maximum value of the decrease incremental unit price is not larger than the minimum unit price, as a solution,
With respect to the load distribution calculated by the load distribution adjusting means at predetermined calculation cycles, a range that can be corrected by the next calculation cycle is obtained based on the constraints determined by the current output values and output change speed data of the plurality of power generation facilities. As a load distribution correction means for correcting the load distribution within the correctable range, a constraint condition in which current output values of the plurality of power generation facilities are determined by current output values and output change speed data of the plurality of power generation facilities is provided. Judgment is made as to whether or not the constraint condition is satisfied, and the power generation facility that does not satisfy the constraint condition is selected with the maximum constraint violation amount, and the power generation output of the power generation facility with the maximum constraint violation amount satisfies the constraint condition Fix the constraint boundary value, and adjust the power output of other power generation facilities to the supply and demand imbalance that occurs when the power generation output of the power generation facility with the largest amount of constraint violation is fixed. Program for causing a computer to function so as to modify the value to maintain the supply-demand balance.

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