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JP4341625B2 - Calculation method in reactive power compensator - Google Patents
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JP4341625B2 - Calculation method in reactive power compensator - Google Patents

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JP4341625B2
JP4341625B2 JP2006013452A JP2006013452A JP4341625B2 JP 4341625 B2 JP4341625 B2 JP 4341625B2 JP 2006013452 A JP2006013452 A JP 2006013452A JP 2006013452 A JP2006013452 A JP 2006013452A JP 4341625 B2 JP4341625 B2 JP 4341625B2
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reactive power
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JP2007195379A (en
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博 篠原
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Fuji Electric Co Ltd
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    • Y02E40/30Reactive power compensation

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Description

この発明は、電力系統に連系し、電力系統の電圧変動を抑制する無効電力補償装置における補償無効電力の演算方式に関する。   The present invention relates to a compensation reactive power calculation method in a reactive power compensator that is linked to a power system and suppresses voltage fluctuations of the power system.

図3に無効電力補償装置の一般的な例を示す。
無効電力補償装置1は、電力系統2から系統インピーダンス3を介して負荷4が接続された電力系統の、系統インピーダンス3と負荷4との間に接続され、負荷4から発生する無効電力を補償する。この無効電力補償装置1は、サイリスタ5、リアクトル6およびコンデンサ7などから構成される。13は無効電力補償装置1の制御装置を示す。
FIG. 3 shows a general example of the reactive power compensator.
The reactive power compensator 1 is connected between the system impedance 3 and the load 4 of the power system to which the load 4 is connected from the power system 2 through the system impedance 3 and compensates for the reactive power generated from the load 4. . The reactive power compensator 1 includes a thyristor 5, a reactor 6, a capacitor 7, and the like. Reference numeral 13 denotes a control device of the reactive power compensator 1.

無効電力補償装置1の動作としては、負荷4が発生する無効電力を補償する。ここで、負荷4が発生する無効電力をQf、無効電力補償装置1の無効電力をQt、系統の無効電力をQsとすると、Qt=Qfとなるように無効電力補償装置1を制御することで、系統の無効電力はQs=0となり、系統電圧の電圧変動を抑制することができる。   As an operation of the reactive power compensator 1, the reactive power generated by the load 4 is compensated. Here, when the reactive power generated by the load 4 is Qf, the reactive power of the reactive power compensator 1 is Qt, and the reactive power of the system is Qs, the reactive power compensator 1 is controlled so that Qt = Qf. The reactive power of the system is Qs = 0, and the voltage fluctuation of the system voltage can be suppressed.

無効電力補償装置のための制御装置の例を図4に示す。
これは、検出された系統電圧Vsと負荷電流Ifとから、無効電力検出器10において無効電力Qを検出し、この無効電力Qに係数器または乗算器11でゲインを乗じた結果を点弧角調節器12に入力し、ここでサイリスタを点弧するための点弧角指令αを演算し、これに基き無効電力を補償するものである。
An example of a control device for the reactive power compensator is shown in FIG.
This is because the reactive power detector 10 detects the reactive power Q from the detected system voltage Vs and the load current If, and the result obtained by multiplying the reactive power Q by the gain by the coefficient unit or the multiplier 11 is the firing angle. This is input to the regulator 12, where a firing angle command α for firing the thyristor is calculated, and reactive power is compensated based on this.

無効電力検出器10として、例えば特許文献1に開示されている例を図5に示す。
これは、移相器14、乗算器15,16、積分器17,18,23、サンプルホールド器19、加減算器20、除算器21および設定器22などから構成され、検出された系統電圧Vsおよび負荷電流ifなどから、最終的には無効電力Qを演算するものである。その演算方式について、以下に説明する。
As the reactive power detector 10, for example, an example disclosed in Patent Document 1 is shown in FIG.
This is composed of a phase shifter 14, multipliers 15 and 16, integrators 17, 18, and 23, a sample and hold unit 19, an adder / subtractor 20, a divider 21 and a setter 22, and the detected system voltage Vs and The reactive power Q is finally calculated from the load current if and the like. The calculation method will be described below.

まず、系統電圧Vsと同位相のe0と、移相器14により90°遅れのe90を得る。if,e0およびe90は、それぞれ次の(1)〜(3)式のように定義される。
e0=√2Ecosθ…(1)
e90=√2Esinθ…(2)
if=√2Icos(θ−φ)…(3)
e90とifを乗算することで、無効電力瞬時値qが演算される。
q=e90×if=E・I{sinφ+sin(2θ−φ)}…(4)
First, e0 having the same phase as the system voltage Vs and e90 delayed by 90 ° are obtained by the phase shifter. if, e0 and e90 are defined as in the following equations (1) to (3), respectively.
e0 = √2Ecos θ (1)
e90 = √2Esin θ (2)
if = √2I cos (θ−φ) (3)
The reactive power instantaneous value q is calculated by multiplying e90 and if.
q = e90 × if = E · I {sinφ + sin (2θ−φ)} (4)

(4)式をθ=0から積分して、数1の(5)式を得る。

Figure 0004341625
The equation (4) is integrated from θ = 0 to obtain the equation (5) in equation (1).
Figure 0004341625

e0とifとを乗算することで、有効電力瞬時値pを求める。
p=e0×if=E・I{cosφ+cos(2θ−φ)}…(6)
有効電力瞬時値pの1/2と、θ=0時点での1/2、すなわちp(θ=0)/2とを次の(7),(8)式のように演算する。
p/2=E・I{cosφ+cos(2θ−φ)}/2…(7)
(θ=0)/2=E・Icosφ…(8)
The active power instantaneous value p is obtained by multiplying e0 and if.
p = e0 × if = E · I {cos φ + cos (2θ−φ)} (6)
1/2 of the active power instantaneous value p and 1/2 at the time of θ = 0, that is, p ( θ = 0) / 2 are calculated as in the following equations (7) and (8).
p / 2 = E · I {cos φ + cos (2θ−φ)} / 2 (7)
p ( θ = 0) / 2 = E · I cos φ (8)

上記(5)式+(7)式−(8)式を演算すると、数2の(9)式を得る。

Figure 0004341625
When the above expression (5) + expression (7) −expression (8) is calculated, the expression (9) in Expression 2 is obtained.
Figure 0004341625

これにより、無効電力Qは次の数3の(10)式のように求められる。

Figure 0004341625
Thereby, the reactive power Q is calculated | required like the following (3) Formula (10).
Figure 0004341625

特公平06−025955号公報Japanese Patent Publication No. 06-025955

以上のように、無効電力Qを演算するのに全てを瞬時値では演算できず、有効電力瞬時値pのθ=0における値を必要とすると言う問題がある。そのため、負荷電流ifが変化する場合は、その変化が反映されないため無効電力Qの演算に誤差が含まれることになり、充分な補償ができなくなる。
したがって、この発明の課題は、時々刻々に変化する無効電力に追従可能とし、補償性能を向上させることにある。
As described above, in order to calculate the reactive power Q, all cannot be calculated with an instantaneous value, and there is a problem that a value at θ = 0 of the active power instantaneous value p is required. Therefore, when the load current if changes, the change is not reflected, and an error is included in the calculation of the reactive power Q, so that sufficient compensation cannot be performed.
Accordingly, an object of the present invention is to make it possible to follow reactive power that changes from moment to moment and to improve compensation performance.

このような課題を解決するため、請求項1の発明では、電力系統に連系し電力系統の電圧変動を抑制する無効電力補償装置において、
無効電力瞬時値の積分値に対し、有効電力瞬時値にゲインを乗じた値を加算し、積分区間の角度で除した演算結果から、有効電力を積分区間の角度で除した演算結果を減算して無効電力量を演算するに当たり、前記有効電力は、有効電力瞬時値の積分値から無効電力瞬時値にゲインを乗じた値を減算した演算結果を、積分区間の角度で除して得ることを特徴とする。
In order to solve such a problem, in the invention of claim 1, in the reactive power compensator connected to the power system and suppressing the voltage fluctuation of the power system,
To the integral value of the reactive power instantaneous value, adds the value obtained by multiplying the gain in the active power instantaneous value, the calculation result obtained by dividing the angle of the integration interval, by subtracting the calculation result obtained by dividing the effective power at an angle interval of integration In calculating the reactive power amount, the active power is obtained by dividing the calculation result obtained by subtracting the value obtained by multiplying the instantaneous value of the reactive power by the gain from the integral value of the instantaneous value of the active power by the angle of the integration interval. Features.

請求項2の発明では、電力系統に連系し電力系統の電圧変動を抑制する無効電力補償装置において、
無効電力瞬時値の積分値に対し、有効電力瞬時値にゲインを乗じた値を加算し有効電力を減じて得られる演算結果を積分区間の角度で除して無効電力量を演算するに当たり、前記有効電力は、有効電力瞬時値の積分値から無効電力瞬時値にゲインを乗じた値を減算した演算結果を、積分区間の角度で除して得ることを特徴とする。
In the invention of claim 2, in the reactive power compensator connected to the power system and suppressing the voltage fluctuation of the power system,
When calculating the reactive power amount by adding the value obtained by multiplying the active power instantaneous value by the gain to the integral value of the reactive power instantaneous value and dividing the calculation result obtained by subtracting the active power by the angle of the integration interval , The active power is obtained by dividing a calculation result obtained by subtracting a value obtained by multiplying an instantaneous value of a reactive power by a gain from an integral value of an instantaneous value of an active power by an angle of an integration interval .

この発明によれば、無効電力の演算を工夫し時々刻々に変化する無効電力に追従可能とすることにより、補償性能を向上させることが可能となる。   According to this invention, it is possible to improve the compensation performance by devising the calculation of the reactive power so as to be able to follow the reactive power that changes every moment.

図1はこの発明の実施の形態を示すブロック構成図である。
無効電力検出器10を図5に示すものから図1のように変更した点、すなわち図5に対し割算器24、乗算器25、加算器26、減算器27、ゲイン要素28および積分器29などを付加した点が特徴である。
FIG. 1 is a block diagram showing an embodiment of the present invention.
The reactive power detector 10 is changed from that shown in FIG. 5 as shown in FIG. 1, that is, a divider 24, a multiplier 25, an adder 26, a subtractor 27, a gain element 28, and an integrator 29 compared to FIG. The point which added etc. is the feature.

その演算は、次のように行なわれる。まず、検出された系統電圧Vsおよび負荷電流ifを入力し、系統電圧Vsと同位相のe0と、移相器14で90°遅れのe90を得る。if,e0およびe90は次の(1’)〜(3’)式のように定義される。
e0=√2Ecosθ…(1’)
e90=√2Esinθ…(2’)
if=√2Icos(θ−φ)…(3’)
e90とifを乗算することで、無効電力瞬時値qが演算される。
q=e90×if=E・I{sinφ+sin(2θ−φ)}…(4’)
The calculation is performed as follows. First, the detected system voltage Vs and the load current if are input, and e0 having the same phase as the system voltage Vs and e90 delayed by 90 ° are obtained by the phase shifter. if, e0 and e90 are defined as in the following equations (1 ′) to (3 ′).
e0 = √2Ecos θ (1 ′)
e90 = √2Esin θ (2 ′)
if = √2I cos (θ−φ) (3 ′)
The reactive power instantaneous value q is calculated by multiplying e90 and if.
q = e90 × if = E · I {sinφ + sin (2θ−φ)} (4 ′)

(4’)式をθ=0から積分して、数4の(5’)式を得る。

Figure 0004341625
The equation (4 ′) is integrated from θ = 0 to obtain the equation (5 ′) of equation (4).
Figure 0004341625

e0とifとを乗算することで、有効電力瞬時値pを求める。
p=e0×if=E・I{cosφ+cos(2θ−φ)}…(6’)
有効電力瞬時値pの1/2を演算する。
p/2=E・I{cosφ+cos(2θ−φ)}/2…(7’)
ここまでは、図5の場合と全く同様である。
The active power instantaneous value p is obtained by multiplying e0 and if.
p = e0 × if = E · I {cos φ + cos (2θ−φ)} (6 ′)
1/2 of the active power instantaneous value p is calculated.
p / 2 = E · I {cos φ + cos (2θ−φ)} / 2 (7 ′)
Up to this point, the process is exactly the same as in FIG.

次に、(7’)式をθ=0から積分して、数5の(11)式を得る。

Figure 0004341625
Next, the equation (7 ′) is integrated from θ = 0 to obtain the equation (11) of Formula 5.
Figure 0004341625

無効電力瞬時値qの1/2を演算し、
q/2=E・I{sinφ+sin(2θ−φ)}/2…(12)
を求め、(11)式−(12)式を演算すると、次の数6の(13)式が得られる。

Figure 0004341625
Calculate 1/2 of the reactive power instantaneous value q,
q / 2 = E · I {sinφ + sin (2θ−φ)} / 2 (12)
Is calculated and the following expression (13) is obtained.
Figure 0004341625

数6の(13)式は数7の(14)式のように変形され、有効電力量となることが分かる。

Figure 0004341625
It can be seen that Expression (13) in Expression 6 is transformed into Expression (14) in Expression 7 and becomes an effective power amount.
Figure 0004341625

従って、無効電力Qは、上記(10)式でp(θ=0)/2の代わりに(14)式を代入して、次の数8の(15)式のように表わされる。

Figure 0004341625
Accordingly, the reactive power Q is expressed as the following equation (15) by substituting the equation (14) instead of p ( θ = 0) / 2 in the above equation (10).
Figure 0004341625

上記数8の(15)式は、数9の(16)式のように変形できる。このことは、図1から乗算器25を省き、かつ割算器21の位置を変更して、図2のように構成できることを示している。

Figure 0004341625
The above equation (15) can be transformed into equation (16). This indicates that the multiplier 25 can be omitted from FIG. 1 and the position of the divider 21 can be changed to configure as shown in FIG.
Figure 0004341625

以上のように、従来例ではθ=0での有効電力量を用いて無効電力量を演算していたので、時々刻々と変化する負荷に対する追従性が低かったが、この発明では瞬時値を用いることで時々刻々と変化する負荷の無効電力に追従可能となるため、補償性能が向上すると言う利点が得られる。   As described above, in the conventional example, the reactive power amount is calculated using the active power amount at θ = 0, so that the followability with respect to the load that changes momentarily is low, but in the present invention, an instantaneous value is used. This makes it possible to follow the reactive power of the load that changes from moment to moment, so that an advantage of improving the compensation performance can be obtained.

この発明の実施の形態を示すブロック図Block diagram showing an embodiment of the present invention 図1の変形例を示すブロック図The block diagram which shows the modification of FIG. 一般的な電力系統を示す構成図Configuration diagram showing a typical power system 図3の制御装置の具体例を示すブロック図The block diagram which shows the specific example of the control apparatus of FIG. 図4の制御装置に設けられる無効電力検出器の具体例を示すブロック図The block diagram which shows the specific example of the reactive power detector provided in the control apparatus of FIG.

符号の説明Explanation of symbols

1…無効電力補償装置、2…電力系統、3…インダクタンス、4…負荷、5…サイリスタ、6…リアクトル、7…コンデンサ、8…PT(変圧器)、9…CT(8変流器)、10…無効電力検出器、11,28…ゲイン要素、12…点弧角制御回路、13…制御装置、14…移相器、15,16,25…乗算器、17,18,23,29…積分器、19…サンプルホールド器、20…加減算器、21,24…除算器、22…設定器、26…加算器、27…減算器。   DESCRIPTION OF SYMBOLS 1 ... Reactive power compensator, 2 ... Power system, 3 ... Inductance, 4 ... Load, 5 ... Thyristor, 6 ... Reactor, 7 ... Capacitor, 8 ... PT (transformer), 9 ... CT (8 current transformer), DESCRIPTION OF SYMBOLS 10 ... Reactive power detector, 11, 28 ... Gain element, 12 ... Firing angle control circuit, 13 ... Control apparatus, 14 ... Phase shifter, 15, 16, 25 ... Multiplier, 17, 18, 23, 29 ... Integrator: 19 ... Sample and hold device, 20 ... Adder / subtractor, 21, 24 ... Divider, 22 ... Setter, 26 ... Adder, 27 ... Subtractor.

Claims (2)

電力系統に連系し電力系統の電圧変動を抑制する無効電力補償装置において、
無効電力瞬時値の積分値に対し、有効電力瞬時値にゲインを乗じた値を加算し、積分区間の角度で除した演算結果から、有効電力を積分区間の角度で除した演算結果を減算して無効電力量を演算するに当たり、前記有効電力は、有効電力瞬時値の積分値から無効電力瞬時値にゲインを乗じた値を減算した演算結果を、積分区間の角度で除して得ることを特徴とする無効電力補償装置における演算方式。
In the reactive power compensator connected to the power system and suppressing the voltage fluctuation of the power system,
To the integral value of the reactive power instantaneous value, adds the value obtained by multiplying the gain in the active power instantaneous value, the calculation result obtained by dividing the angle of the integration interval, by subtracting the calculation result obtained by dividing the effective power at an angle interval of integration In calculating the reactive power amount, the active power is obtained by dividing the calculation result obtained by subtracting the value obtained by multiplying the instantaneous value of the reactive power by the gain from the integral value of the instantaneous value of the active power by the angle of the integration interval. An arithmetic method in a reactive power compensator as a feature.
電力系統に連系し電力系統の電圧変動を抑制する無効電力補償装置において、
無効電力瞬時値の積分値に対し、有効電力瞬時値にゲインを乗じた値を加算し有効電力を減じて得られる演算結果を積分区間の角度で除して無効電力量を演算するに当たり、前記有効電力は、有効電力瞬時値の積分値から無効電力瞬時値にゲインを乗じた値を減算した演算結果を、積分区間の角度で除して得ることを特徴とする無効電力補償装置における演算方式。
In the reactive power compensator connected to the power system and suppressing the voltage fluctuation of the power system,
When calculating the reactive power amount by adding the value obtained by multiplying the active power instantaneous value by the gain to the integral value of the reactive power instantaneous value and dividing the calculation result obtained by subtracting the active power by the angle of the integration interval , The active power is obtained by dividing a calculation result obtained by subtracting a value obtained by multiplying an instantaneous value of a reactive power by a gain from an integral value of the instantaneous value of the active power, and dividing the result by an angle of the integration interval. method.
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