JP5140813B2 - Excitation current phenomenon identification method - Google Patents
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本発明は、電力系統に瞬時電圧低下が発生したとき、変圧器の励磁突入電流による瞬時電圧低下であるかどうかを特定する励磁突入電流現象特定方法に関する。 The present invention relates to a method for specifying an inrush current phenomenon that specifies whether or not an instantaneous voltage drop is caused by an inrush current of a transformer when an instantaneous voltage drop occurs in a power system.
電力系統に瞬時電圧低下が発生すると、機器停止など様々な障害が起こる。例えば、水銀灯が消灯したり、電力を動力源とする大型機器が停止したりする。瞬時電圧低下の原因の1つに、変圧器を電力系統に連系する際に発生する変圧器系統連系時の変圧器鉄心の磁気飽和による励磁突入電流と呼ばれる過電流がある。 When an instantaneous voltage drop occurs in the power system, various troubles such as equipment stoppage occur. For example, a mercury lamp is extinguished, or a large device using electric power as a power source is stopped. One of the causes of the instantaneous voltage drop is an overcurrent called an excitation inrush current due to magnetic saturation of the transformer core when the transformer is connected to the power system.
瞬時電圧低下による障害対策のためには、瞬時電圧低下の原因の特定が基本である。瞬時電圧低下の原因が変圧器の励磁突入電流によるものか否かを特定するには、変圧器の一次側電流波形に第2高調波及び第4高調波が多く含まれているかを判断し、第2高調波及び第4高調波が多く含まれている場合には、励磁突入電流であると判定するようにしている。また、励磁突入電流現象は磁気飽和によることに着目し、変圧器の一次側端子電圧の積分値である鎖交磁束と電流とから、リアクタンス値の低下を検出することにより励磁突入電流現象の特定を行うようにしたものもある。 In order to take measures against a failure due to an instantaneous voltage drop, it is fundamental to identify the cause of the instantaneous voltage drop. To determine whether the cause of the instantaneous voltage drop is due to the inrush current of the transformer, determine whether the primary current waveform of the transformer contains a lot of second and fourth harmonics, When many second harmonics and fourth harmonics are included, it is determined that the current is a magnetizing inrush current. In addition, focusing on the fact that the magnetizing inrush current phenomenon is due to magnetic saturation, it is possible to identify the magnetizing inrush current phenomenon by detecting a decrease in reactance value from the linkage flux and current, which is the integral value of the primary terminal voltage of the transformer. Some of them are designed to do this.
励磁突入電流を判定するものとして、検出電流値の大きさが所定の値以上となった時の積分検出電圧値の大きさに基づいて励磁突入電流の判定を行い、積分検出電圧値の大きさが所定の判定値以上である場合には励磁突入電流検出信号を出力するようにしたものがある(例えば、特許文献1参照)。
しかし、励磁突入電流として、第2高調波や第4高調波以外の他の高調波が多く含まれるものもあり、一般の過渡現象との識別が困難となり、第2高調波や第4高調波の含有率で励磁突入電流か否かを判定することは難しい。一方、励磁突入電流現象は磁気飽和によることに着目し、電圧の積分値である鎖交磁束と電流とからリアクタンス値の低下を検出し励磁突入電流現象を特定するものでは、電流検出センサーである変流器(CT)の過電流による磁気飽和や測定系のレンジオーバーにより正確な電流値が得られない場合がある。 However, some exciting inrush currents include many other harmonics other than the second harmonic and the fourth harmonic, making it difficult to distinguish from general transients, and the second harmonic and the fourth harmonic. It is difficult to determine whether or not it is an excitation inrush current based on the content ratio. On the other hand, focusing on the fact that the magnetizing inrush current phenomenon is due to magnetic saturation, it is a current detection sensor that detects a decrease in reactance value from the flux linkage and current, which is the integral value of voltage, and identifies the magnetizing inrush current phenomenon. In some cases, an accurate current value cannot be obtained due to magnetic saturation due to overcurrent of the current transformer (CT) or overrange of the measurement system.
また、瞬時電圧低下の被害を受けている需要家から問い合わせを受け、実際には瞬時電圧低下の影響を受ける需要家での変圧器一次電流や電圧の測定が多く、問題となる励磁突入電流はその需要家では計測されないことが多い。すなわち、励磁突入電流の発生源の変圧器が不明な場合には、励磁突入電流の発生源の変圧器の一次側電流の測定ができないだけでなく、その変圧器の結線方法も未知である。従って、リアクタンス値の低下検出による励磁突入電流現象の判定方法は適用できない。 In addition, we receive inquiries from customers who are suffering from instantaneous voltage drop, and in fact, there are many measurements of transformer primary current and voltage at customers affected by instantaneous voltage drop. It is often not measured by the customer. That is, when the transformer of the source of the excitation inrush current is unknown, not only the primary side current of the transformer of the source of the excitation inrush current can be measured, but also the connection method of the transformer is unknown. Therefore, the method for determining the inrush current phenomenon based on the detection of a decrease in reactance value cannot be applied.
本発明の目的は、励磁突入電流が測定不能な場合にも励磁突入電流現象を特定でき、変圧器の結線方法も特定できる励磁突入電流現象特定方法を提供することである。 An object of the present invention is to provide an exciting inrush current phenomenon identifying method that can identify an exciting inrush current phenomenon even when the exciting inrush current cannot be measured, and can also identify a transformer connection method.
請求項1の発明に係わる励磁突入電流現象特定方法は、電力系統に瞬時電圧低下が発生したとき変圧器鉄心の磁気飽和開始時刻及び磁気飽和終了時刻を求め、磁気飽和開始時刻と磁気飽和終了時刻との時間幅で変圧器鉄心の端子電圧を積分して磁気飽和開始時刻の変圧器鉄心の鎖交磁束と磁気飽和終了時刻の変圧器鉄心の鎖交磁束との差分を求め、磁気飽和開始時刻の変圧器鉄心の鎖交磁束と磁気飽和終了時刻の変圧器鉄心の鎖交磁束とが等しいときは変圧器の励磁突入電流による瞬時電圧低下であると判定することを特徴とする。 The method for specifying an inrush current phenomenon according to the first aspect of the present invention is to obtain a magnetic saturation start time and a magnetic saturation end time of a transformer core when an instantaneous voltage drop occurs in a power system, and to determine a magnetic saturation start time and a magnetic saturation end time. The difference between the flux linkage of the transformer core at the magnetic saturation start time and the flux linkage of the transformer core at the magnetic saturation end time is obtained by integrating the terminal voltage of the transformer core with the time width of the magnetic saturation start time. When the interlinkage magnetic flux of the transformer core is equal to the interlinkage magnetic flux of the transformer core at the magnetic saturation end time, it is determined that the instantaneous voltage drop is caused by the magnetizing inrush current of the transformer.
請求項2の発明に係わる励磁突入電流現象特定方法は、請求項1の発明において、前記瞬時電圧低下発生前の変圧器一次電流をベース電流とし、前記瞬時電圧低下発生後の変圧器一次電流と前記ベース電流との差分を変動分電流として求め、前記変動分電流から過渡振動の影響をカットした変動分基本電流を求め、前記変動分基本電流が前記瞬時電圧低下発生後の前記ベース電流の1サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を磁気飽和開始時刻とし、前記磁気飽和開始時刻の後の直近の前記変動分基本電流の零点を磁気飽和終了時刻とし、変圧器鉄心の磁気飽和開始時刻及び磁気飽和終了時刻を求めることを特徴とする。 According to a second aspect of the present invention, there is provided a method for identifying an inrush current phenomenon according to the first aspect of the invention, wherein the primary current of the transformer before the occurrence of the instantaneous voltage drop is a base current and the primary current of the transformer after the occurrence of the instantaneous voltage drop is A difference from the base current is obtained as a fluctuation current, a fluctuation basic current obtained by cutting the influence of transient vibration from the fluctuation current is obtained, and the fluctuation basic current is one of the base currents after the occurrence of the instantaneous voltage drop. The zero point when the change from minus to plus or plus to minus is greatly changed between cycles is set as the magnetic saturation start time, and the zero point of the fluctuation basic current immediately after the magnetic saturation start time is set as the magnetic saturation end time. The magnetic saturation start time and magnetic saturation end time of the iron core are obtained.
請求項3の発明に係わる励磁突入電流現象特定方法は、請求項1の発明において、前記瞬時電圧低下発生前の系統電圧をベース電圧とし、前記瞬時電圧低下発生後の系統電圧と前記ベース電圧との差分を変動分電圧として求め、前記変動分電圧から過渡振動の影響をカットした変動分基本電圧を求め、前記変動分基本電圧が前記瞬時電圧低下発生後の前記ベース電圧の1サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を磁気飽和開始時刻とし、前記磁気飽和開始時刻の後の直近の前記変動分基本電圧の零点を磁気飽和中点時刻とし、前記磁気飽和開始時刻と前記磁気飽和中点時刻とから磁気飽和終了時刻を求めることを特徴とする。 According to a third aspect of the present invention, there is provided a magnetizing inrush current phenomenon specifying method according to the first aspect, wherein the system voltage before the occurrence of the instantaneous voltage drop is a base voltage, and the system voltage and the base voltage after the occurrence of the instantaneous voltage drop are Is obtained as a fluctuation voltage, a fluctuation basic voltage obtained by cutting the influence of transient vibration from the fluctuation voltage is obtained, and the fluctuation basic voltage is calculated during one cycle of the base voltage after the occurrence of the instantaneous voltage drop. The zero point at the time of significant change from minus to plus or from plus to minus is used as the magnetic saturation start time, the zero point of the fluctuation basic voltage immediately after the magnetic saturation start time is set as the magnetic saturation midpoint time, and the magnetic saturation start is performed. The magnetic saturation end time is obtained from the time and the magnetic saturation midpoint time.
請求項4の発明に係わる励磁突入電流現象特定方法は、電力系統に瞬時電圧低下が発生したとき、瞬時電圧低下発生前の系統電圧をベース電圧として前記瞬時電圧低下発生後の系統電圧と前記ベース電圧との差分を変動分電圧として求め、前記変動分電圧から過渡振動の影響をカットした変動分基本電圧を求め、前記変動分基本電圧が前記瞬時電圧低下発生後の前記ベース電圧の1サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を磁気飽和開始時刻とし、前記磁気飽和開始時刻の後の直近の前記変動分基本電圧の零点を磁気飽和中点時刻とし、前記磁気飽和開始時刻と前記磁気飽和中点時刻とから磁気飽和終了時刻を求め、一方、変圧器鉄心の鎖交磁束が飽和開始磁束と同一の値となった時刻を求め、この時刻と磁気飽和終了時刻との差分が所定範囲内であるときは変圧器の励磁突入電流による瞬時電圧低下であると判定することを特徴とする。 According to a fourth aspect of the present invention, there is provided a method for specifying an excitation inrush current phenomenon, wherein when an instantaneous voltage drop occurs in an electric power system, the system voltage before the occurrence of the instantaneous voltage drop is set as a base voltage and the base voltage after the occurrence of the instantaneous voltage drop and the base The difference from the voltage is obtained as a fluctuation voltage, a fluctuation basic voltage obtained by cutting the influence of transient vibration from the fluctuation voltage is obtained, and the fluctuation basic voltage is one cycle of the base voltage after the occurrence of the instantaneous voltage drop. The zero point when the change from minus to plus or plus to minus is greatly changed is defined as the magnetic saturation start time, and the zero point of the fluctuation basic voltage immediately after the magnetic saturation start time is defined as the magnetic saturation midpoint time. The magnetic saturation end time is obtained from the saturation start time and the magnetic saturation midpoint time, while the time when the linkage flux of the transformer core becomes the same value as the saturation start magnetic flux is obtained. , And judging the difference between this time and the magnetic saturation end time and when within the predetermined range is a momentary voltage drop due to transformer inrush current of the transformer.
請求項5の発明に係わる励磁突入電流現象特定方法は、請求項3または4の発明において、前記磁気飽和中点時刻は、前記磁気飽和開始時刻の後の直近の前記変動分基本電圧の零点とすることに代えて、前記変圧器鉄心の飽和領域での前記ベース電流の零点とすることを特徴としたことを特徴とする。 According to a fifth aspect of the present invention, there is provided a method for specifying an inrush current phenomenon according to the third or fourth aspect of the invention, wherein the magnetic saturation midpoint time is the zero point of the fluctuation basic voltage immediately after the magnetic saturation start time. Instead, the zero point of the base current in the saturation region of the transformer core is used.
請求項6の発明に係わる励磁突入電流現象特定方法は、電力系統に瞬時電圧低下が発生したとき1サイクルめの変圧器鉄心の磁気飽和開始時刻及び2サイクルめの変圧器鉄心の磁気飽和開始時刻を求め、1サイクルめの磁気飽和開始時刻と2サイクルめの磁気飽和開始時刻との時間幅で変圧器鉄心の端子電圧を積分して1サイクルめの磁気飽和開始時刻の変圧器鉄心の鎖交磁束と2サイクルめの磁気飽和開始時刻の変圧器鉄心の鎖交磁束との差分を求め、1サイクルめの磁気飽和開始時刻の変圧器鉄心の鎖交磁束と2サイクルめの磁気飽和開始時刻の変圧器鉄心の鎖交磁束との差分が所定値以下のときは変圧器の励磁突入電流による瞬時電圧低下であると判定することを特徴とする。
The method for specifying an inrush current phenomenon according to the invention of
請求項7の発明に係わる励磁突入電流現象特定方法は、請求項6の発明において、前記瞬時電圧低下発生前の系統電圧をベース電圧とし、前記瞬時電圧低下発生後の系統電圧と前記ベース電圧との差分を変動分電圧として求め、前記変動分電圧から過渡振動の影響をカットした変動分基本電圧を求め、前記変動分基本電圧が前記瞬時電圧低下発生後の前記ベース電圧の1サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を1サイクルめの磁気飽和開始時刻とし、前記変動分基本電圧が前記瞬時電圧低下発生後の前記ベース電圧の2サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を2サイクルめの磁気飽和開始時刻とし、1サイクルめの磁気飽和開始時刻と2サイクルめの磁気飽和開始時刻とを求めることを特徴とする。 According to a seventh aspect of the present invention, there is provided a magnetizing inrush current phenomenon specifying method according to the sixth aspect, wherein the system voltage before the occurrence of the instantaneous voltage drop is set as a base voltage, and the system voltage and the base voltage after the occurrence of the instantaneous voltage drop are obtained. Is obtained as a fluctuation voltage, a fluctuation basic voltage obtained by cutting the influence of transient vibration from the fluctuation voltage is obtained, and the fluctuation basic voltage is calculated during one cycle of the base voltage after the occurrence of the instantaneous voltage drop. The zero point when there is a large change from minus to plus or from plus to minus is taken as the magnetic saturation start time of the first cycle, and the fluctuation basic voltage is changed from minus to plus during the two cycles of the base voltage after the instantaneous voltage drop occurs. Alternatively, the zero point at the time of significant change from plus to minus is the second cycle magnetic saturation start time, and the first cycle magnetic saturation start time is And obtaining a magnetic saturation start time of the Me cycle.
請求項8の発明に係わる励磁突入電流現象特定方法は、請求項1乃至7のいずれか1項の発明において、電力系統に瞬時電圧低下が変圧器の励磁突入電流による瞬時電圧低下であると判定したときは、さらに、変圧器の1次側結線がΔ結線かY結線かを特定することを特徴とする。
The method for identifying an inrush current phenomenon according to an invention of claim 8 is the invention according to any one of
請求項9の発明に係わる励磁突入電流現象特定方法は、請求項8の発明において、変圧器の1次側結線がΔ結線かY結線かの特定は、前記瞬時電圧低下発生後の系統電圧と前記瞬時電圧低下発生前の系統電圧であるベース電圧との差分である変動分電圧から過渡振動の影響をカットした変動分基本電圧を求め、変動分基本電圧の三相成分に各相基準のαβ変換を行い各相基準のα相変動分基本電圧及びβ相変動分基本電圧を求め、変圧器鉄心端子電圧の三相成分に各相基準のαβ変換を行い各相基準のα相端子電圧及びβ相端子電圧を求め、変圧器投入後の前記ベース電圧の1サイクルの区間でα相変動分基本電圧及びβ相変動分基本電圧のそれぞれの絶対値最大なる基準相を選び、前記変動分基本電圧が前記瞬時電圧低下発生後の前記ベース電圧の1サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を磁気飽和開始時刻としその前記磁気飽和開始時刻の後の直近の前記変動分基本電圧の零点を磁気飽和中点時刻とし、β相変動分基本電圧が絶対値最大の基準相でのβ相端子電圧の前記磁気飽和中点時刻における絶対値が閾値以下の場合に変圧器の1次側結線はΔ結線と判定し、α相変動分基本電圧が絶対値最大の基準相でのα相端子電圧の前記磁気飽和中点時刻における絶対値が閾値以下の場合に変圧器の1次側結線はY結線と判定することを特徴とする。 The method for specifying an inrush current phenomenon according to the invention of claim 9 is the invention according to claim 8, wherein the identification of whether the primary side connection of the transformer is a Δ connection or a Y connection is determined by the system voltage after the occurrence of the instantaneous voltage drop. The fluctuation basic voltage obtained by cutting the influence of transient vibration from the fluctuation voltage that is the difference from the base voltage that is the system voltage before the occurrence of the instantaneous voltage drop is obtained, and αβ of each phase reference is obtained as the three-phase component of the fluctuation basic voltage. The conversion is performed to obtain the α phase fluctuation basic voltage and β phase fluctuation basic voltage of each phase reference, and α phase conversion of each phase reference is performed on the three phase components of the transformer core terminal voltage, and the α phase terminal voltage of each phase reference and Obtain the β phase terminal voltage, select the reference phase that maximizes the absolute value of each of the α phase fluctuation basic voltage and the β phase fluctuation basic voltage in one cycle of the base voltage after turning on the transformer. The voltage of the base voltage after the instantaneous voltage drop occurs The zero point when a large change from minus to plus or from plus to minus is made during one cycle is the magnetic saturation start time, and the zero point of the fluctuation basic voltage immediately after the magnetic saturation start time is the magnetic saturation midpoint time. , When the absolute value at the magnetic saturation midpoint time of the β-phase terminal voltage in the reference phase having the maximum absolute value of the β-phase fluctuation component basic voltage is below the threshold value, the primary side connection of the transformer is determined to be the Δ connection, When the absolute value of the α phase terminal voltage in the reference phase with the maximum absolute value of the α phase fluctuation component at the magnetic saturation midpoint time is less than or equal to the threshold value, the primary side connection of the transformer is determined to be the Y connection. Features.
請求項10の発明に係わる励磁突入電流現象特定方法は、請求項8の発明において、変圧器の1次側結線がΔ結線かY結線かの特定は、前記瞬時電圧低下発生後の系統電圧と前記瞬時電圧低下発生前の系統電圧であるベース電圧との差分である変動分電圧から過渡振動の影響をカットした変動分基本電圧を求め、変動分基本電圧の三相成分に各相基準のαβ変換を行い各相基準のα相変動分基本電圧及びβ相変動分基本電圧を求め、変圧器投入後の前記ベース電圧の1サイクルの区間でα相変動分基本電圧及びβ相変動分基本電圧のそれぞれの絶対値最大なる基準相を選び、前記変動分基本電圧が前記瞬時電圧低下発生後の前記ベース電圧の1サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を磁気飽和開始時刻としその前記磁気飽和開始時刻の後の直近の前記変動分基本電圧の零点を磁気飽和中点時刻とし、α相変動分基本電圧の基準相でのα相変動分基本電圧及びβ相変動分基本電圧を磁気飽和開始時刻と磁気飽和中点時刻との時間幅で積分してα相磁束変動分及びβ相磁束変動分を求め、β相磁束変動分をα相磁束変動分で除算した値が閾値以下であるときは変圧器の1次側結線はY結線であると判定し、β相変動分基本電圧の基準相でのα相変動分基本電圧及びβ相変動分基本電圧を磁気飽和開始時刻と磁気飽和中点時刻との時間幅で積分してα相磁束変動分及びβ相磁束変動分を求め、α相磁束変動分をβ相磁束変動分で除算した値が閾値以下であるときは変圧器の1次側結線はΔ結線であると判定することを特徴とする。 According to a tenth aspect of the present invention, there is provided a method for specifying an excitation inrush current phenomenon according to the eighth aspect of the invention, wherein whether the primary side connection of the transformer is a Δ connection or a Y connection is determined by the system voltage after the occurrence of the instantaneous voltage drop. The fluctuation basic voltage obtained by cutting the influence of transient vibration from the fluctuation voltage that is the difference from the base voltage that is the system voltage before the occurrence of the instantaneous voltage drop is obtained, and αβ of each phase reference is obtained as the three-phase component of the fluctuation basic voltage. The α-phase fluctuation basic voltage and β-phase fluctuation basic voltage of each phase reference are obtained by conversion, and the α-phase fluctuation basic voltage and β-phase fluctuation basic voltage in one cycle of the base voltage after the transformer is turned on. The reference phase having the maximum absolute value of each is selected, and the zero point when the basic voltage of the fluctuation greatly changes from minus to plus or from plus to minus during one cycle of the base voltage after the occurrence of the instantaneous voltage drop is magnetized. Saturation The zero point of the fluctuation basic voltage immediately after the magnetic saturation start time as the start time is the magnetic saturation midpoint time, and the α phase fluctuation basic voltage and β phase fluctuation in the reference phase of the α phase fluctuation basic voltage The basic voltage is integrated by the time width between the magnetic saturation start time and the magnetic saturation midpoint time to obtain the α-phase flux fluctuation and β-phase flux fluctuation, and the β-phase flux fluctuation is divided by the α-phase flux fluctuation. When the value is less than the threshold value, the primary side connection of the transformer is determined to be the Y connection, and the α-phase fluctuation basic voltage and β-phase fluctuation basic voltage in the reference phase of the β-phase fluctuation basic voltage are magnetized. Integrate the time width between the saturation start time and the magnetic saturation midpoint time to obtain the α-phase flux fluctuation and β-phase flux fluctuation, and the value obtained by dividing the α-phase flux fluctuation by the β-phase flux fluctuation is below the threshold. In some cases, the primary side connection of the transformer is determined to be a Δ connection.
本発明によれば、変圧器鉄心の鎖交磁束は、磁気飽和開始時刻での飽和開始磁束と磁気飽和終了時刻での飽和終了磁束とが等しいことに着目し、磁気飽和開始時刻と磁気飽和終了時刻との時間幅で変圧器鉄心の端子電圧を積分して、磁気飽和開始時刻の変圧器鉄心の鎖交磁束と磁気飽和終了時刻の変圧器鉄心の鎖交磁束との差分を求め、磁気飽和開始時刻の変圧器鉄心の鎖交磁束と磁気飽和終了時刻の変圧器鉄心の鎖交磁束とが等しいときは変圧器の励磁突入電流による瞬時電圧低下であると判定するので、励磁突入電流が測定できない場合であっても励磁突入電流による瞬時電圧低下を判別できる。 According to the present invention, the interlinkage magnetic flux of the transformer core focuses on the fact that the saturation start magnetic flux at the magnetic saturation start time is equal to the saturation end magnetic flux at the magnetic saturation end time, and the magnetic saturation start time and the magnetic saturation end The terminal voltage of the transformer core is integrated with the time width of the time, and the difference between the linkage flux of the transformer core at the magnetic saturation start time and the linkage flux of the transformer core at the magnetic saturation end time is obtained, and the magnetic saturation When the linkage magnetic flux of the transformer core at the start time is equal to the linkage magnetic flux of the transformer core at the magnetic saturation end time, it is determined that there is an instantaneous voltage drop due to the transformer inrush current. Even if this is not possible, the instantaneous voltage drop due to the inrush current can be determined.
また、系統電圧を用いて磁気飽和中心時刻を推定して磁気飽和終了時刻を推定する場合には、1サイクルで励磁突入電流による瞬時電圧低下を判別できる。また、変圧器鉄心の鎖交磁束が飽和開始磁束と同一の値となった時刻を求め、推定した磁気飽和終了時刻とその鎖交磁束が飽和開始磁束と同一の値となった時刻との差分が所定範囲内であるときは変圧器の励磁突入電流による瞬時電圧低下であると判定するので、励磁突入電流が測定できない場合であっても1サイクルで励磁突入電流による瞬時電圧低下を判別できる。 Further, when the magnetic saturation center time is estimated using the system voltage to estimate the magnetic saturation end time, it is possible to determine an instantaneous voltage drop due to the excitation inrush current in one cycle. Also, the time when the interlinkage magnetic flux of the transformer core becomes the same value as the saturation start magnetic flux is obtained, and the difference between the estimated magnetic saturation end time and the time when the interlinkage magnetic flux becomes the same value as the saturation start magnetic flux. Is within the predetermined range, it is determined that there is an instantaneous voltage drop due to the transformer inrush current, so even if the magnetizing inrush current cannot be measured, the instantaneous voltage drop due to the magnetizing inrush current can be determined in one cycle.
また、励磁突入電流が測定できない場合であっても、励磁突入電流による瞬時電圧低下の原因となっている変圧器の1次側結線がΔ結線かY結線かを特定できるので、励磁突入電流の発生源の変圧器が瞬時電圧低下の影響を受ける需要家の変圧器か他の需要家の変圧器かの判定が容易となる。
Even if the inrush current cannot be measured, it is possible to specify whether the primary side connection of the transformer causing the instantaneous voltage drop due to the inrush current is a Δ connection or a Y connection. It becomes easy to determine whether the source transformer is a transformer of a consumer affected by an instantaneous voltage drop or a transformer of another consumer.
図1は本発明の実施の形態に係わる励磁突入電流現象特定方法の一例を示すフローチャートである。瞬時電圧低下の被害を受けている需要家に接続される電力系統に瞬時電圧低下が発生したか否かを判定する(S1)。これは、瞬時電圧低下の被害を受けている需要家に接続される電力系統に電圧計を設置して電力系統の電圧を監視することにより行う。 FIG. 1 is a flowchart showing an example of a method for specifying an inrush current phenomenon according to an embodiment of the present invention. It is determined whether or not an instantaneous voltage drop has occurred in a power system connected to a customer who has suffered damage from the instantaneous voltage drop (S1). This is done by installing a voltmeter in the power system connected to the customer who is damaged by the instantaneous voltage drop and monitoring the voltage of the power system.
ここで、変圧器を電力系統に連系したときの変圧器系統連系時に発生する励磁突入電流は、変圧器鉄心の磁気飽和時に発生し電力系統に瞬時電圧低下を発生させる。従って、電圧変動時に磁気飽和が発生していれば、励磁突入電流現象であることが分る。 Here, the magnetizing inrush current generated when the transformer is connected to the power system is generated at the time of magnetic saturation of the transformer core and causes an instantaneous voltage drop in the power system. Therefore, if magnetic saturation occurs at the time of voltage fluctuation, it can be understood that this is an excitation inrush current phenomenon.
ただし、磁気飽和に関しては、次の2つ飽和開始磁束Φs、残留磁束Φrが未知の問題がある。このため、磁気飽和開始時刻Ts、磁気飽和終了時刻Teで鉄心の鎖交磁束Φ(t)に、(1)式の関係が成立することに着目した。
上記の(1)式を変形すれば(2)式となり飽和開始磁束Φsの値を知る必要がなくなる。
また、電磁誘導則より、鉄心の鎖交磁束Φ(t)は変圧器鉄心の端子電圧v(t)の積分で与えられので、(2)式は(3)式のように定積分となり、初期値に相当する残留磁束Φrは不要となる。
ただし、変圧器鉄心の端子電圧v(t)は各鉄心脚の1次巻線の端子電圧なので、変圧器の1次側結線がΔ結線では線間電圧であり、変圧器の1次側結線がY結線では相電圧である。 However, since the terminal voltage v (t) of the transformer core is the terminal voltage of the primary winding of each core leg, the transformer primary side connection is a line voltage when the Δ connection is used, and the transformer primary connection Is the phase voltage in the Y connection.
以上のことから、ステップS2では、電力系統に瞬時電圧低下が発生した場合には、磁気飽和開始時刻Ts及び磁気飽和終了時刻Teを特定する(S2)。そして、ステップS3において、(3)式に示すように、磁気飽和開始時刻Tsと磁気飽和終了時刻Teとの時間幅で変圧器鉄心の端子電圧v(t)を積分して、磁気飽和開始時刻Tsの変圧器鉄心の鎖交磁束(飽和開始磁束Φs)と磁気飽和終了時刻Teの変圧器鉄心の鎖交磁束との差分を求める(S3)。 From the above, in step S2, if the instantaneous voltage drop occurs in the power system, it identifies the magnetic saturation start time T s and magnetic saturation end time T e (S2). Then, at step S3, (3) as shown in equation integrates the transformer core of the terminal voltage v (t) from the time range of the magnetic saturation start time Ts and the magnetic saturation end time T e, the magnetic saturation start flux linkage transformer core of time Ts obtaining the difference between flux linkage transformer core of (saturation start flux [Phi s) and magnetic saturation end time T e (S3).
そして、ステップS3で求めた差分の絶対値が所定値以下であるかどうかを判定する(S4)。磁気飽和開始時刻Tsの変圧器鉄心の鎖交磁束と磁気飽和終了時刻Teの変圧器鉄心の鎖交磁束とは等しいので、通常は、ステップS3で求めた差分が零であるかどうかを判定することになるが、誤差分を見込んで、差分の絶対値が所定値以下であるかどうかで判定する。ステップS3で求めた差分の絶対値が所定値以下であるときは、変圧器の励磁突入電流現象であると判定し、変圧器の励磁突入電流現象による瞬時電圧低下であると判定する(S5)。 Then, it is determined whether or not the absolute value of the difference obtained in step S3 is equal to or less than a predetermined value (S4). Is equal to the flux linkage transformer core flux linkage and magnetic saturation end time T e of the transformer core magnetic saturation start time T s, usually, the difference obtained in step S3 is whether the zero Although it will be determined, it is determined whether or not the absolute value of the difference is equal to or less than a predetermined value in consideration of the error. When the absolute value of the difference obtained in step S3 is equal to or less than a predetermined value, it is determined that the current is a transformer excitation inrush current phenomenon, and is determined to be an instantaneous voltage drop due to the transformer excitation inrush current phenomenon (S5). .
次に、ステップS2での磁気飽和開始時刻Ts及び磁気飽和終了時刻Teの推定について説明する。図2は励磁突入電流を用いて磁気飽和開始時刻Ts及び磁気飽和終了時刻Teを推定する場合の一例を示すフローチャートである。以下の説明では、変圧器1次側はΔ結線でありVW相が飽和した場合を例に取り説明する。 Next, a description will be given estimates of the magnetic saturation start time Ts and the magnetic saturation end time T e in step S2. Figure 2 is a flow chart showing an example of a case of estimating a magnetic saturation start time T s and magnetic saturation end time T e with inrush current. In the following description, the case where the primary side of the transformer is Δ-connected and the VW phase is saturated will be described as an example.
励磁特入電流を発生させている変圧器について、予め過去の電流測定データにより磁気飽和開始時刻Ts及び磁気飽和終了時刻Teを推定する。励磁特入電流を発生している変圧器の電流i(t)の測定データを用意する(S11)。 For transformer is generating exciting Japanese input current, and estimates the magnetic saturation start time T s and magnetic saturation end time T e in advance by the past of the current measurement data. Measurement data of the current i (t) of the transformer generating the excitation special input current is prepared (S11).
図3は励磁突入電流i(t)の測定波形の一例を示す波形図であり、図3(a)は三相電流のうちのU相電流iu、図3(b)はV相電流iv、図3(c)はW相電流iwである。図3に示すように、時点t(t=0)で変圧器を投入したとすると、時点t(t=0)の直後で1.2kHz程度の高次過渡振動が発生し、磁気飽和開始時刻Tsの推定が煩雑なことが分かる、また、変圧器を投入後の電流には、変圧器の投入前の電流も混在するので励磁突入電流を精度よく得るに変圧器の投入前の電流の分離が必要である。 FIG. 3 is a waveform diagram showing an example of a measured waveform of the magnetizing inrush current i (t). FIG. 3A is a U-phase current i u of the three-phase current, and FIG. 3B is a V-phase current i. v, FIG. 3 (c) is a W-phase current i w. As shown in FIG. 3, if the transformer is turned on at time t (t = 0), high-order transient vibration of about 1.2 kHz occurs immediately after time t (t = 0), and the magnetic saturation start time It can be seen that the estimation of T s is complicated, and the current after the transformer is turned on also includes the current before the transformer is turned on, so that the current before the transformer is turned on can be obtained accurately. Separation is necessary.
そこで、(4)式に定義される投入直前の電流1サイクル分をベース電流ibとして導入する。ただし、fNは商用周波数の50Hzである。
このベース電流ibを用い、例えば、変圧器の投入直後の1サイクルめの変動分電流Δi(t)を(5)式から求める(S12)。2サイクルめ以降も同様に変動分電流ibとの差より変動分電流を求める。
さらに、変動分電流Δi(t)に低域フィルタを適用し、過渡振動除去を行った変動分基本電流ΔI(t)を求める(S13)。 Furthermore, a low-pass filter is applied to the fluctuation current Δi (t) to obtain the fluctuation basic current ΔI (t) from which the transient vibration has been removed (S13).
図4はW相の変動分電流Δiw(t)と変動分基本電流ΔIw(t)との波形の一例を示す波形図である。図4中の点線は変動分電流Δiw(t)であり、実線は変動分基本電流ΔIw(t)である。図4から分かるように、磁気飽和開始時刻Ts及び磁気飽和終了時刻Teは、変動分基本電流ΔIw(t)の零点とほぼ一致することが分かる。すなわち、磁気飽和開始時刻Tsは、変動分基本電流ΔIw(t)が瞬時電圧低下発生後のベース電流の1サイクルの間(t=0〜t=20ms)の零点のうちマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点であり、磁気飽和終了時刻Teは磁気飽和開始時刻Tsの後の直近の変動分基本電流ΔIw(t)の零点であることが分かる。 FIG. 4 is a waveform diagram showing an example of waveforms of the W-phase variation current Δi w (t) and the variation basic current ΔI w (t). The dotted line in FIG. 4 is the fluctuation current Δi w (t), and the solid line is the fluctuation basic current ΔI w (t). As can be seen from FIG. 4, it can be seen that the magnetic saturation start time T s and the magnetic saturation end time T e substantially coincide with the zero point of the fluctuation basic current ΔI w (t). That is, the magnetic saturation start time T s is changed from a negative value to a positive value among the zero points during one cycle (t = 0 to t = 20 ms) of the base current after the fluctuation basic current ΔI w (t) occurs. It can be seen that this is the zero point when it changes greatly from plus to minus, and the magnetic saturation end time T e is the zero point of the most recent fluctuation basic current ΔI w (t) after the magnetic saturation start time T s .
そこで、変動分基本電流ΔIw(t)が瞬時電圧低下発生後のベース電流の1サイクルの間(t=0〜t=20ms)の零点のうちマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を磁気飽和開始時刻Tsとし(S14)、磁気飽和開始時刻Tsの後の直近の変動分基本電流ΔIw(t)の零点を磁気飽和終了時刻Teとする(S15)。 Therefore, when the fluctuation basic current ΔI w (t) greatly changes from minus to plus or from plus to minus among the zero points during one cycle (t = 0 to t = 20 ms) of the base current after the instantaneous voltage drop occurs. and zero point of the magnetic saturation start time T s (S14), the latest variation basic current [Delta] I w (t) magnetic saturation end time zero of T e after magnetic saturation start time T s (S15).
図5は変動分基本電流ΔIw(t)と変圧器鉄心の鎖交磁束Φ(t)との波形の一例を示す波形図である。いま、変圧器1次側はΔ結線でVW相が飽和しているとすると、変圧器の投入時の磁束は零であるので、飽和相の鎖交磁束Φvwは(6)式から求められる。
図5に示すように、飽和相の鎖交磁束Φvwは磁気飽和開始時刻Tsで磁気飽和の影響を受け始め、磁気飽和終了時刻Teで磁気飽和の影響から解放される特性を示す。そして、磁気飽和開始時刻Ts1の鎖交磁束Φvw(Ts1)と、磁気飽和終了時刻Teとで鉄心の鎖交磁束Φvw(Te1)が等しいことが分かり、励磁突入電流現象の条件式である(3)式が満足されることが分かる。変圧器の投入後の2サイクルめの飽和開始磁束Φvw(Ts2)も1サイクルめの磁気飽和開始時刻Ts1の鎖交磁束Φvw(Ts1)と同一値であることも分かる。これにより、変動分基本電流ΔIw(t)の零点で決まる磁気飽和開始時刻Tsと磁気飽和終了時刻Teとで変圧器鉄心の鎖交磁束Φ(t)が等しくなることを確認できる。 As shown in FIG. 5, the flux linkage [Phi vw saturation phase began affected by magnetic saturation in the magnetic saturation start time T s, indicating a characteristic which is free from the influence of magnetic saturation in the magnetic saturation end time T e. Then, a flux linkage [Phi vw magnetic saturation start time T s1 (T s1), it shows that magnetic saturation end time T e and in the core of the flux linkages Φ vw (T e1) are equal, the magnetizing inrush current phenomenon It can be seen that the conditional expression (3) is satisfied. It can also be seen that the saturation start magnetic flux Φ vw (T s2 ) in the second cycle after the transformer is turned on has the same value as the flux linkage Φ vw (T s1 ) at the magnetic saturation start time T s1 in the first cycle. Thus, it can be confirmed that the flux linkage of the transformer core Φ where (t) is equal in the variation basic current [Delta] I w magnetic saturation starting time determined by the zero point of the (t) T s and the magnetic saturation end time T e.
以上の説明では、ステップS2での磁気飽和開始時刻Ts及び磁気飽和終了時刻Teの推定は、励磁突入電流を用いて推定するようにしたが、励磁突入電流の発生源の変圧器が不明な場合には、突入電流測定ができず磁気飽和開始時刻Ts及び磁気飽和終了時刻Teの推定ができない。そこで、励磁突入電流による線路での電圧降下に着目し、系統電圧のみで推定する場合について説明する。 In the above description, the estimation of the magnetic saturation start time T s and magnetic saturation end time T e is at step S2, have been so estimated that by using the magnetizing inrush current, transformer source of magnetizing inrush current unknown the case can not estimate can not rush current measurement magnetic saturation start time T s and magnetic saturation end time T e. Therefore, focusing on the voltage drop in the line due to the magnetizing inrush current, the case of estimation using only the system voltage will be described.
図6は系統電圧を用いて磁気飽和開始時刻Ts及び磁気飽和終了時刻Teを推定する場合の一例を示すフローチャートである。瞬時電圧低下の被害を受けている需要家に接続される電力系統の系統電圧v(t)を検出する(S21)。そして、電流i(t)の場合と同様にベース電圧vb1(t)を用い、系統電圧v(t)とベース電圧vb(t)との差分を変動分電圧Δv(t)として求め(S22)、変動分電圧Δv(t)に低域フィルタを適用して過渡振動分を除去し変動分基本電圧ΔV(t)を求める(S23)。 6 is a flow chart showing an example of a case of estimating a magnetic saturation start time T s and magnetic saturation end time T e with system voltage. The system voltage v (t) of the power system connected to the customer who is damaged by the instantaneous voltage drop is detected (S21). Then, similarly to the case of the current i (t), the base voltage v b1 (t) is used, and the difference between the system voltage v (t) and the base voltage v b (t) is obtained as the fluctuation voltage Δv (t) ( S22) A low-pass filter is applied to the variation voltage Δv (t) to remove the transient vibration component to obtain the variation basic voltage ΔV (t) (S23).
図7は変動分基本電圧ΔVの波形を変動分基本電流ΔIの波形と比較して示した一例の波形図である。図7では変圧器1次側はΔ結線でありVW相が飽和した場合の波形を一例として示している。 FIG. 7 is a waveform diagram showing an example in which the waveform of the fluctuation basic voltage ΔV is compared with the waveform of the fluctuation basic current ΔI. In FIG. 7, the transformer primary side is Δ-connected, and the waveform when the VW phase is saturated is shown as an example.
図7から分かるように、変動分基本電圧ΔVvw(t)は変動分基本電流ΔIw(t)と同様に、磁気飽和開始時刻Tsでは零点となっているが、磁気飽和終了時刻Teでは明確な特徴が見られない。これは電力系統の線路がRL回路で、変動分基本電流ΔIw(t)と変動分基本電圧ΔVvw(t)とで位相差が生じるためと推定される。 As can be seen from FIG. 7, the fluctuation basic voltage ΔV vw (t) is zero at the magnetic saturation start time T s , as with the fluctuation basic current ΔI w (t), but the magnetic saturation end time T e. Then there is no clear feature. This is presumed to be because the line of the power system is an RL circuit and a phase difference occurs between the fluctuation basic current ΔI w (t) and the fluctuation basic voltage ΔV vw (t).
そこで、変圧器鉄心の飽和領域でのベース電圧vb,vwの零点が飽和領域中央の近傍であることに着目した。図8に示すように、変動分基本電流ΔIwは変圧器鉄心の飽和領域を表わし、系統電圧vvw(t)は変圧器鉄心の飽和領域中央で零近傍の値を示し、ベース電圧vb,vwは、変圧器鉄心の飽和領域中央の近傍で零点である。 Therefore, attention has been paid to the fact that the zero points of the base voltages v b and vw in the saturation region of the transformer core are near the center of the saturation region. As shown in FIG. 8, the fluctuation basic current ΔI w represents the saturation region of the transformer core, the system voltage v vw (t) represents a value near zero at the center of the saturation region of the transformer core, and the base voltage v b , Vw are zeros near the center of the saturation region of the transformer core.
ベース電圧vb,vwが変圧器鉄心の飽和領域中央の近傍で零点となるのは、次のよう推定される。励磁突入電流が無ければベース電圧vb,vw(t)=0の時刻T’cにおいて、鉄心の鎖交磁束Φvwは最大量鎖交磁束Φvw,maxとなる。そこで、磁気飽和時にも時刻T’cの近傍が最大量鎖交磁束Φvw,maxとなると推定される。最大量鎖交磁束Φvw,maxは、ほぼ変圧器鉄心の飽和領域の中央の変動分基本電流ΔIwの最大時と近接している。この性質は非飽和時の最大量鎖交磁束Φvw,maxでも成立すると考えられ、ベース電圧vb,vwの飽和領域零点が変圧器鉄心の領域中央の近傍になると考えられる。 It is estimated as follows that the base voltages v b and vw become zero near the center of the saturation region of the transformer core. If there is no magnetizing inrush current, the interlinkage magnetic flux Φvw of the iron core becomes the maximum amount of interlinkage magnetic flux Φvw, max at the time T ′ c when the base voltage v b, vw (t) = 0. Therefore, it is presumed that the maximum flux linkage Φ vw, max is near the time T ′ c even during magnetic saturation. The maximum amount of interlinkage flux Φ vw, max is close to the maximum value of the fluctuation basic current ΔI w at the center of the saturation region of the transformer core. This property is considered to hold even when the maximum amount of flux linkage Φ vw, max at the time of non-saturation , and the saturation region zero point of the base voltages v b, vw is considered to be near the center of the region of the transformer core.
これより、時刻T’cを磁気飽和中点時刻Tcとする。また、変動分基本電圧ΔVとベース電圧vb,vwの零点は近接するので、変動分基本電圧ΔVの零点を磁気飽和中点時刻Tcとして代用できる。そして、磁気飽和開始時刻Ts及び磁気飽和中点時刻Tcから、(7)式により磁気飽和終了時刻Teの近似値Te,bを求める。
以上のことから、変動分基本電圧ΔV(t)がマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を磁気飽和開始時刻Tsとする(S24)。一方、磁気飽和開始時刻Tsの後の変動分基本電圧ΔV(t)の零点、または変圧器鉄心の飽和領域でのベース電圧vb,vwの零点T’cを磁気飽和中点時刻Tcとし(S25)、磁気飽和開始時刻Tsと磁気飽和中点時刻Tcとから(7)式により磁気飽和終了時刻Teを求める(S26)。 From the above, the zero point when the fluctuation basic voltage ΔV (t) changes greatly from minus to plus or from plus to minus is defined as the magnetic saturation start time T s (S24). On the other hand, the zero point of the fluctuation basic voltage ΔV (t) after the magnetic saturation start time T s , or the zero points T ′ c of the base voltages v b and vw in the saturation region of the transformer core are represented as the magnetic saturation midpoint time T c. and then (S25), obtains the magnetic saturation end time T e by the magnetic saturation start time T s and the magnetic saturation midpoint time T c (7) equation (S26).
また、(7)式に代えて、図9に示すように、磁気飽和開始時刻Ts以降において、変圧器鉄心の鎖交磁束Φ(t)が飽和開始磁束Φ(Ts)と同一の値となった時刻Te,Φを磁気飽和終了時刻Teとしてもよい。この場合、(7)式で求めた時刻Te,bと時刻Te,Φとの差が許容誤差内にあるときに励磁突入電流が原因と推定できる。 Further, instead of the expression (7), as shown in FIG. 9, after the magnetic saturation start time T s , the interlinkage magnetic flux Φ (t) of the transformer core has the same value as the saturation start magnetic flux Φ (T s ). The time T e and Φ that have become may be used as the magnetic saturation end time T e . In this case, when the difference between the time T e, b and the time T e, Φ obtained by the equation (7) is within an allowable error, it can be estimated that the excitation inrush current is the cause.
図10は本発明の実施の形態に係わる励磁突入電流現象特定方法の他の一例を示すフローチャートである。図1に示した一例ではベース電流ib(t)やベース電圧vb(t)の1サイクルで励磁突入電流現象を判定するようにしたが、図10の一例では、ベース電圧vb(t)の2サイクルで励磁突入電流現象を判定するようにしたものである。 FIG. 10 is a flowchart showing another example of the method for specifying the inrush current phenomenon according to the embodiment of the present invention. In the example shown in FIG. 1, the magnetizing inrush current phenomenon is determined in one cycle of the base current i b (t) and the base voltage v b (t), but in the example of FIG. 10, the base voltage v b (t The inrush current phenomenon is determined in two cycles.
図5に示すように、変圧器の投入後の2サイクルめの飽和開始磁束Φvw(Ts2)は、1サイクルめの磁気飽和開始時刻Ts1の鎖交磁束Φvw(Ts1)と同一値であることに着目し、(8)式の関係により励磁突入電流現象現象と特定する。
ここで、磁気飽和開始時刻Tsの添え字1、2は変圧器の投入後のサイクル数を示す。
Here,
図10において、電力系統に瞬時電圧低下が発生したか否かを判定し(S31)、電力系統に瞬時電圧低下が発生しているときは、1サイクルめの変圧器鉄心の磁気飽和開始時刻Ts1及び2サイクルめの変圧器鉄心の磁気飽和開始時刻Ts2を求める(S32)。そして、1サイクルめの磁気飽和開始時刻Ts1と2サイクルめの磁気飽和開始時刻Ts2との時間幅で変圧器鉄心の端子電圧v(t)を積分して1サイクルめの磁気飽和開始時刻Ts1の変圧器鉄心の鎖交磁束Φ(Ts1)と2サイクルめの磁気飽和開始時刻Ts2の変圧器鉄心の鎖交磁束Φ(Ts2)との差分を求め(S33)、1サイクルめの磁気飽和開始時刻Ts1の変圧器鉄心の鎖交磁束Φ(Ts1)と2サイクルめの磁気飽和開始時刻Ts2の変圧器鉄心の鎖交磁束Φ(Ts2)との差分の絶対値が所定値以下かどうかを判定する(S34)。 In FIG. 10, it is determined whether or not an instantaneous voltage drop has occurred in the power system (S31). When the instantaneous voltage drop has occurred in the power system, the magnetic saturation start time T of the first transformer core is determined. obtaining magnetic saturation start time T s2 of the transformer core of Me s1 and 2 cycles (S32). Then, the terminal voltage v (t) of the transformer core is integrated with the time width between the magnetic saturation start time T s1 in the first cycle and the magnetic saturation start time T s2 in the second cycle, and the magnetic saturation start time in the first cycle. obtains a difference between the flux linkage transformer core Φ (T s2) of the transformer core flux linkage Φ (T s1) and a 2nd cycle magnetic saturation start time T s2 of T s1 (S33), 1 cycle Absolute difference between the linkage flux Φ (T s1 ) of the transformer core at the magnetic saturation start time T s1 and the linkage flux Φ (T s2 ) of the transformer core at the second cycle magnetic saturation start time T s2 It is determined whether the value is equal to or less than a predetermined value (S34).
1サイクルめの磁気飽和開始時刻Ts1の変圧器鉄心の鎖交磁束Φ(Ts1)と2サイクルめの磁気飽和開始時刻Ts2の変圧器鉄心の鎖交磁束Φ(Ts1)とは等しいので、通常は、ステップS33で求めた差分が零であるかどうかを判定することになるが、誤差分を見込んで、差分の絶対値が所定値以下であるかどうかで判定する。ステップS33で求めた差分の絶対値が所定値以下であるときは、変圧器の励磁突入電流現象であると判定し、変圧器の励磁突入電流現象による瞬時電圧低下であると判定する(S35)。 The linkage magnetic flux Φ (T s1 ) of the transformer core at the magnetic saturation start time T s1 in the first cycle is equal to the linkage magnetic flux Φ (T s1 ) of the transformer core at the magnetic saturation start time T s2 in the second cycle. Therefore, normally, it is determined whether or not the difference obtained in step S33 is zero, but the determination is made based on whether or not the absolute value of the difference is equal to or less than a predetermined value in consideration of the error. When the absolute value of the difference obtained in step S33 is less than or equal to a predetermined value, it is determined that the current is a transformer excitation inrush current phenomenon, and is determined to be an instantaneous voltage drop due to the transformer excitation inrush current phenomenon (S35). .
図11は系統電圧を用いて1サイクルめの磁気飽和開始時刻Ts1及び1サイクルめの磁気飽和開始時刻Ts2を推定する場合の一例を示すフローチャートである。瞬時電圧低下の被害を受けている需要家に接続される電力系統の系統電圧v(t)を検出する(S41)。そして、ベース電圧vb(t)を用い、系統電圧v(t)とベース電圧vb(t)との差分を変動分電圧Δv(t)として求め(S42)、変動分電圧Δv(t)に低域フィルタを適用して過渡振動分を除去し変動分基本電圧ΔV(t)を求める(S43)。そして、変動分基本電圧ΔV(t)が瞬時電圧低下発生後のベース電圧vb(t)の1サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を1サイクルめの磁気飽和開始時刻Ts1とし(S44)、変動分基本電圧ΔV(t)が瞬時電圧低下発生後のベース電圧vb(t)の2サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を2サイクルめの磁気飽和開始時刻Ts2とする(S45)。なお、この場合には、変圧器の投入後のベース電圧vb(t)の2サイクル分の測定データが必要となる。 FIG. 11 is a flowchart showing an example of estimating the first cycle magnetic saturation start time T s1 and the first cycle magnetic saturation start time T s2 using the system voltage. The system voltage v (t) of the power system connected to the customer who is damaged by the instantaneous voltage drop is detected (S41). Then, using the base voltage v b (t), we obtain the difference of the system voltage v (t) and the base voltage v b (t) as the variation voltage Δv (t) (S42), fluctuation voltage Delta] v (t) Then, a low-pass filter is applied to remove the transient vibration and the fluctuation basic voltage ΔV (t) is obtained (S43). Then, the zero point when the fluctuation basic voltage ΔV (t) greatly changes from minus to plus or from plus to minus during one cycle of the base voltage v b (t) after the occurrence of the instantaneous voltage drop is set to the first cycle of magnetism. When the saturation start time T s1 is set (S44) and the fluctuation basic voltage ΔV (t) changes greatly from minus to plus or from plus to minus during two cycles of the base voltage v b (t) after the occurrence of the instantaneous voltage drop. Is set as the magnetic saturation start time T s2 in the second cycle (S45). In this case, measurement data for two cycles of the base voltage v b (t) after turning on the transformer is required.
次に、励磁突入電流を発生した変圧器の1次側の結線法の特定について説明する。実際には、瞬時電圧低下の影響を受ける需要家での電圧測定が多く、その場合、励磁突入電流の発生源の変圧器の結線法は未知となる。そこで、励磁突入電流の発生源の変圧器が瞬時電圧低下の影響を受ける需要家の変圧器か他の需要家の変圧器かの判定するためにも、励磁突入電流の発生源の変圧器の結線法の特定が必須となる。以下に、励磁突入電流の発生源の変圧器1次側結線法の特定方法について述べる。 Next, a description will be given of how to connect the primary side of the transformer that has generated the magnetizing inrush current. Actually, there are many voltage measurements at consumers affected by instantaneous voltage drop, and in that case, the method of connecting the transformer of the source of the excitation inrush current is unknown. Therefore, in order to determine whether the transformer of the source of the excitation inrush current is a consumer transformer affected by the instantaneous voltage drop or the transformer of another customer, the transformer of the source of the excitation inrush current is also determined. It is essential to specify the connection method. Below, the identification method of the transformer primary side connection method of the generation source of exciting inrush current is described.
図12は、変圧器1次側がΔ結線で飽和相がVW相である場合の変圧器の端子電圧vvw、変動分基本電圧ΔVvw、鎖交磁束Φvwの波形を示す波形図である。図12から分かるように、磁気飽和開始時刻Tsより磁気飽和が始まり、変圧器鉄心の鎖交磁束Φvw値は抑制され、変圧器鉄心の端子電圧vvwは急激に零電圧に近づく。変圧器鉄心の端子電圧vvwは多少オーバーシュートする場合もある。この傾向は電圧基本成分ΔVvwでの零点Tc(鎖交磁束最大時刻Tc)でも続くので、時刻t=Tcで変圧器の端子電圧vvwが閾値以下ならば変圧器1次側の結線法はΔ結線であることが分かる。 FIG. 12 is a waveform diagram showing waveforms of the transformer terminal voltage v vw , fluctuation basic voltage ΔV vw , and linkage flux Φ vw when the transformer primary side is Δ-connected and the saturation phase is VW-phase. As can be seen from FIG. 12, the magnetic saturation starts at the magnetic saturation start time T s , the interlinkage magnetic flux Φ vw value of the transformer core is suppressed, and the terminal voltage v vw of the transformer core abruptly approaches zero voltage. The terminal voltage v vw of the transformer core may overshoot somewhat. This tendency continues even at the zero point T c (linkage magnetic flux maximum time T c ) at the voltage basic component ΔV vw , so if the terminal voltage v vw of the transformer is less than the threshold at time t = T c , It can be seen that the connection method is a Δ connection.
ここで、飽和相の判別の仕方及び閾値の定め方に対応するために、αβ変換を適用する。(9)式に示すように、三相の変動分基本電圧ΔVu、ΔVv、ΔVwに対してαβ変換を行い、各相基準(U相基準、V相基準、W相基準)のα相変動分基本電圧ΔVα及びβ相変動分基本電圧ΔVβを求める。
この一例の場合は、変圧器1次側がΔ結線で飽和相がVW相であるので、電流iiはV相とW相との間を流れる。従って、VW相短絡(U相基準)と同様に変動分基本電圧ΔVu、ΔVv、ΔVwの条件は以下の(10)式のように定められる。
(9)式及び(10)式より、次の関係が得られる。
この(11)式より、各相基準(U相基準、V相基準、W相基準)のβ相変動分基本電圧ΔVβ,u、ΔVβ,v、ΔVβ,wのうち、絶対値が最も大きいβ相変動分基本電圧|ΔVβ,max|を選択する。絶対値最大のβ相変動分基本電圧|ΔVβ,max|(最大量が重要なので以下の説明では絶対値記号を略す)は、U相基準のΔVβ,u(=2/√3)である。β相変動分基本電圧ΔVβ,maxがU相基準なのでVW相が飽和相であることが分かる。 From this equation (11), the absolute value of the β-phase fluctuation component basic voltages ΔV β, u , ΔV β, v , ΔV β, w of each phase reference (U-phase reference, V-phase reference, W-phase reference) is The basic voltage | ΔV β, max | corresponding to the largest β-phase fluctuation is selected. The absolute value maximum β-phase fluctuation component basic voltage | ΔV β, max | (the maximum value is important, so the absolute value symbol is omitted in the following description) is the U-phase reference ΔV β, u (= 2 / √3). is there. It can be seen that the VW phase is a saturated phase since the basic voltage ΔV β, max for the β phase fluctuation is based on the U phase.
さらに、各相基準(U相基準、V相基準、W相基準)のα相変動分基本電圧ΔVα,u、ΔVα,v、ΔVα,wのうち、絶対値が最も大きいα相変動分基本電圧ΔVα,maxを選択する。絶対値最大のα相変動分基本電圧ΔVα,maxは、V相基準のΔVα,v(=1)またはW相基準のΔVα,w(=1)である。いま、W相基準のΔVα,w(=1)を絶対値最大のα相変動分基本電圧ΔVα,maxとして選択する。 Furthermore, among the α-phase fluctuation basic voltages ΔV α, u , ΔV α, v , ΔV α, w of each phase reference (U-phase reference, V-phase reference, W-phase reference), α-phase fluctuation having the largest absolute value Minute basic voltage ΔV α, max is selected. The α-phase fluctuation component voltage ΔV α, max with the maximum absolute value is ΔV α, v (= 1) based on the V phase or ΔV α, w (= 1) based on the W phase. Now, ΔV α, w (= 1) based on the W phase is selected as the α-phase fluctuation basic voltage ΔV α, max having the maximum absolute value.
そして、(12)式に示すように、絶対値最大のβ相変動分基本電圧ΔVβ,maxと絶対値最大のα相変動分基本電圧ΔVα,maxとの比較を行う。
(12)式が成立するときは変圧器の結線法はΔ結線であることが分かる。この場合、ΔVβ,max(=2/√3)、ΔVα,max(=1)であり、大小比較の基準の差は15%程度である。実用上はノイズなどの影響があるので、大小比較の基準の差の定量的な余裕が必要となる。 When equation (12) holds, it can be seen that the transformer connection method is Δ connection. In this case, ΔV β, max (= 2 / √3) and ΔV α, max (= 1), and the difference in the reference of the magnitude comparison is about 15%. In practice, there is an influence of noise or the like, so a quantitative margin of the difference between the size comparison standards is required.
同様に、三相の変圧器の端子電圧v(t)についてもαβ変換を行う。そこで、図13に示すように、絶対値最大のβ相変動分基本電圧ΔVβ,maxに対応するβ相端子電圧vβ,u(添え字uは基準相)に着目する。図13は変圧器の結線法がΔ結線である場合のβ相の変動分基本電圧ΔVβ及び変圧器の端子電圧vβ,uの波形図であり、図14は変圧器の結線法がΔ結線である場合のα相の変動分基本電圧ΔVα及び変圧器の端子電圧vα,wの波形図である。 Similarly, αβ conversion is also performed on the terminal voltage v (t) of the three-phase transformer. Therefore, as shown in FIG. 13, attention is focused on the β-phase terminal voltage v β, u (subscript u is the reference phase) corresponding to the β-phase variation basic voltage ΔV β, max having the maximum absolute value. FIG. 13 is a waveform diagram of the β phase fluctuation component ΔV β and the terminal voltage v β, u of the transformer when the transformer connection method is Δ connection, and FIG. 14 is a waveform diagram of the transformer connection method Δ FIG. 6 is a waveform diagram of a α-phase variation basic voltage ΔV α and a transformer terminal voltage v α, w in the case of connection.
図13に示すように、β相端子電圧vβ,uは磁気飽和中点時刻(変動分基本電圧ΔVの零点)Tcで零近傍である。これに対し、α相変動分基本電圧ΔVα,maxに対するα相端子電圧vα,wは、図14に示すように磁気飽和中点時刻(変動分基本電圧ΔVの零点)Tcで電圧ピーク値の約1/2である。 As shown in FIG. 13, the β-phase terminal voltage v β, u is near zero at the magnetic saturation midpoint time (the zero point of the fluctuation basic voltage ΔV) T c . On the other hand, the α-phase terminal voltage v α, w with respect to the α-phase fluctuation basic voltage ΔV α, max is a voltage peak at the magnetic saturation midpoint time (zero point of the fluctuation basic voltage ΔV) T c as shown in FIG. It is about 1/2 of the value.
これは、変動分基本電圧ΔVは突入電流の影響のみを受ける量なのでα、β相の磁気飽和中点時刻(変動分基本電圧ΔVの零点)Tcは同一であり、変圧器の端子電圧vは相により同一時刻でも値が異なるからである。 This is because the variation basic voltage ΔV is only affected by the inrush current, and the α and β phase magnetic saturation midpoint times (zero point of the variation basic voltage ΔV) T c are the same, and the transformer terminal voltage v This is because the value varies depending on the phase even at the same time.
図15は三相平衡時の変圧器端子電圧vu、vv、vwのα,β相端子電圧の基準相がU相、W相である場合のベクトル図であり、図15(a)は三相平衡時の変圧器端子電圧vu、vv、vwのベクトル図、図15(b)はα,β相端子電圧の基準相がU相、W相である場合のベクトル図である。 FIG. 15 is a vector diagram when the reference phases of the α and β phase terminal voltages of the transformer terminal voltages v u , v v , and v w at the three-phase equilibrium are the U phase and the W phase, and FIG. Is a vector diagram of transformer terminal voltages v u , v v , and v w at three-phase equilibrium, and FIG. 15B is a vector diagram when the reference phases of α and β phase terminal voltages are U phase and W phase. is there.
図15(b)に示すように、W相基準のα相端子電圧vα,wは、U相基準のβ相端子電圧vβ,uに対し150°(5π/6)だけ遅れている。従って、U相基準のβ相端子電圧vβ,uがほぼ零(vβ,u≒0)であるときの磁気飽和中点時刻(変動分基本電圧ΔVの零点)Tcでは(13)式が成り立つ。
(13)式より、W相基準のα相端子電圧vα,w(Tc)が電圧ピーク値Vmの約1/2の一般性が分かる。これにより、余裕は15%から50%と大きくなり実用性が向上する。 From the equation (13), the generality of the α-phase terminal voltage v α, w (T c ) based on the W-phase is about ½ of the voltage peak value V m . As a result, the margin increases from 15% to 50%, improving the practicality.
次に、Y結線の場合について説明する。図16は変圧器の結線法がY結線でW相が飽和である場合のαβ変換した変動分基本電圧ΔV及び変圧器の端子電圧vの波形を示す波形図であり、図16(a)はβ相の変動分基本電圧ΔVβ及び変圧器の端子電圧vβ,uの波形図、図16(b)はα相の変動分基本電圧ΔVα及び変圧器の端子電圧vα,wの波形図である。 Next, the case of Y connection will be described. FIG. 16 is a waveform diagram showing waveforms of the variation basic voltage ΔV and the transformer terminal voltage v obtained by αβ conversion when the transformer connection method is Y connection and the W phase is saturated, and FIG. Waveform diagram of β phase fluctuation basic voltage ΔV β and terminal voltage v β, u of transformer, FIG. 16B is a waveform of α phase fluctuation basic voltage ΔV α and transformer terminal voltage v α, w . FIG.
変圧器の結線法がΔ結線である場合の図13及び図14と、図16(a)及び図16(b)とを比較すると、α相とβ相との交換だけのことが分かる。これは例示のケースでは、電流iiはW相に流入しU,V相から流出するので、変動分基本電圧ΔVu、ΔVv、ΔVwの条件は以下の(14)式のようになる。
この(14)式と(9)式とから、次の(15)式に示す関係が得られる。
(15)式より、最大変動は飽和相であるW相の変動分基本電圧ΔVwであるので、絶対値最大のα相変動分基本電圧ΔVα,maxは当然にW相基準のα相変動分基本電圧Vα,wとなる。一方、絶対値最大のβ相変動分基本電圧ΔVβ,maxは、W相の変動分基本電圧ΔVwを含むU相基準のβ相変動分基本電圧ΔVβ,uかV相基準のβ相変動分基本電圧ΔVβ,vとなるが、ここでの一例はU相であり、図10のベクトル図から、U相基準のβ相端子電圧vβ,uがW相基準のα相端子電圧vα,wに対し150°進みなのでΔ結線の関係の(13)式と同様に次の(16)式が成立する。
(16)式より、U相基準のβ相端子電圧vβ,u(Tc)が電圧ピーク値Vmの約1/2の一般性が分かる。これにより、Y結線の場合もΔ結線の場合と同様に、余裕は15%から50%と大きくなり実用性が向上する。 From the equation (16), the generality of the U-phase reference β-phase terminal voltage v β, u (T c ) is about ½ of the voltage peak value V m . As a result, in the case of Y connection, the margin increases from 15% to 50%, as in the case of Δ connection, and the practicality is improved.
図17は、励磁突入電流の発生源の変圧器1次側結線法の特定方法の一例を示すフローチャートである。三相の変動分基本電圧ΔVu、ΔVv、ΔVwを求める(S51)。三相の変動分基本電圧ΔVu、ΔVv、ΔVwは、前述したように、瞬時電圧低下発生後の三相の系統電圧vと瞬時電圧低下発生前の系統電圧である三相のベース電圧vbとの差分である変動分電圧Δvから低域フィルタを適用して過渡振動の影響をカットして求められる。 FIG. 17 is a flowchart showing an example of a method for specifying the transformer primary-side connection method that is the source of the excitation inrush current. Three-phase fluctuation basic voltages ΔV u , ΔV v , ΔV w are obtained (S 51). As described above, the three-phase fluctuation basic voltages ΔV u , ΔV v , and ΔV w are the three-phase system voltage v after the occurrence of the instantaneous voltage drop and the three-phase base voltage that is the system voltage before the occurrence of the instantaneous voltage drop. It is obtained by applying a low-pass filter from the fluctuation voltage Δv that is the difference from v b to cut the influence of transient vibration.
三相の変動分基本電圧ΔVu、ΔVv、ΔVwの三相成分に対して、(9)式により各相基準のαβ変換を行い、各相基準(U相基準、V相基準、W相基準)のα相変動分基本電圧ΔVα,u、ΔVα,v、ΔVα,w及びβ相変動分基本電圧ΔVβ,u、ΔVβ,v、ΔVβ,wを求める(S52)。 The three-phase components of the three-phase fluctuation basic voltages ΔV u , ΔV v , and ΔV w are subjected to αβ conversion of each phase reference by the equation (9), and each phase reference (U-phase reference, V-phase reference, W Phase reference) basic phase voltages ΔV α, u , ΔV α, v , ΔV α, w and β phase variation basic voltages ΔV β, u , ΔV β, v , ΔV β, w (S52) .
同様に、三相の変圧器鉄心の端子電圧vu、vv、vwの三相成分に対して、(9)式により各相基準のαβ変換を行い、各相基準(U相基準、V相基準、W相基準)のα相端子電圧vα,u、vα,v、vα,w及びβ相変動分基本電圧vβ,u、vβ,v、vβ,wを求める(S53)。 Similarly, αβ conversion of each phase reference is performed on the three-phase components of the terminal voltages v u , v v , v w of the three-phase transformer core by the equation (9), and each phase reference (U-phase reference, Α phase terminal voltages v α, u , v α, v , v α, w and β phase fluctuation basic voltages v β, u , v β, v , v β, w are obtained. (S53).
そして、変圧器投入後のベース電圧vbの1サイクルの区間でα相変動分基本電圧ΔVα及びβ相変動分基本電圧ΔVβのそれぞれの絶対値最大なる基準相を選び出す(S54)。 Then, select the respective maximum absolute value becomes the reference phase of the base voltage v alpha phase fluctuation fundamental voltage in one cycle period of the b [Delta] V alpha and beta phase fluctuation fundamental voltage [Delta] V beta after the transformer is turned (S54).
一方、変動分基本電圧ΔVが瞬時電圧低下発生後のベース電圧vbの1サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を磁気飽和開始時刻Tsとし、その磁気飽和開始時刻Tsの後の直近の変動分基本電圧ΔVの零点を磁気飽和中点時刻Tcとする(S55)。 On the other hand, the zero point when the fluctuation basic voltage ΔV changes greatly from minus to plus or from plus to minus during one cycle of the base voltage v b after the occurrence of the instantaneous voltage drop is defined as the magnetic saturation start time T s. the last zero of fluctuation fundamental voltage ΔV after the start time T s to the magnetic saturation midpoint time T c (S55).
そして、絶対値最大のβ相変動分基本電圧ΔVβ(例えばβ相変動分基本電圧ΔVβ,u)が基準相である場合のβ相端子電圧vβ,uの磁気飽和中点時刻Tcにおける絶対値vβ,u(Tc)が閾値以下か否かを判定する(S56)。これは、図13におけるβ相端子電圧vβ,u(Tc)が零近傍であるかどうかを判定することに相当する。β相端子電圧vβ,u(Tc)が閾値以下である場合には、変圧器の結線はΔ結線であると判定する(S57)。 Then, the magnetic saturation midpoint time T c of the β-phase terminal voltage v β, u when the β-phase fluctuation basic voltage ΔV β (for example, β-phase fluctuation basic voltage ΔV β, u ) having the maximum absolute value is the reference phase. It is determined whether or not the absolute value v β, u (T c ) is equal to or less than a threshold value (S56). This corresponds to determining whether or not the β-phase terminal voltage v β, u (T c ) in FIG. 13 is near zero. If the β-phase terminal voltage v β, u (T c ) is less than or equal to the threshold value, it is determined that the connection of the transformer is a Δ connection (S57).
一方、ステップS56の判定で、β相端子電圧vβ,u(Tc)が閾値以下でない場合には、絶対値最大のα相変動分基本電圧ΔVα(例えばα相変動分基本電圧ΔVα,w)が基準相である場合のα相端子電圧vα,wの磁気飽和中点時刻Tcにおける絶対値vα,w(Tc)が閾値以下か否かを判定する(S58)。これは、図16(b)におけるα相端子電圧vα,w(Tc)が零近傍であるかどうかを判定することに相当する。α相端子電圧vα,w(Tc)が閾値以下である場合には、変圧器の結線はY結線であると判定する(S59)。 On the other hand, if it is determined in step S56 that the β-phase terminal voltage v β, u (T c ) is not less than or equal to the threshold value, the α-phase variation basic voltage ΔV α (for example, the α-phase variation basic voltage ΔV α having the maximum absolute value). , W ) is a reference phase, it is determined whether or not the absolute value v α, w (T c ) at the magnetic saturation midpoint time T c of the α-phase terminal voltage v α, w is equal to or less than a threshold value (S58). This corresponds to determining whether or not the α-phase terminal voltage v α, w (T c ) in FIG. When the α-phase terminal voltage v α, w (T c ) is equal to or less than the threshold value, it is determined that the connection of the transformer is the Y connection (S59).
以上の説明では、変圧器の結線法の特定として、三相の変動分基本電圧ΔVをαβ変換して、絶対値最大のα相変動分基本電圧ΔVα及びβ相変動分基本電圧ΔVβを求め、それらに対応するα相端子電圧vα,w、β相端子電圧vβ,uの磁気飽和中点時刻Tcにおける値vα,w(Tc)、vβ,u(Tc)に基づいて、Δ結線法であるかY結線法であるかと判定したが、別指標として、(11)式のβ相変動分基本電圧ΔVβ,maxのU相基準で、α相変動分基本電圧ΔVα,u(=0)に着目し、ノイズ誤差の緩和を積分形で行うことを考慮し、指標γを次の(17)式で定義することも可能である。
指標γβが閾値以下ならばΔ結線、逆に指標γαが閾値以下ならばY結線と推定する。ちなみに、ここまでの一例より、図18に示す絶対値最大のα相変動分基本電圧ΔVα,maxと絶対値最大のβ相変動分基本電圧ΔVβ,maxとの相を基準として求めた指標γ値を表1に比較表示する。
図19は、(17)式で定義される指標を用いて励磁突入電流の発生源の変圧器1次側結線法を特定する一例を示すフローチャートである。三相の変動分基本電圧ΔVu、ΔVv、ΔVwを求める(S61)。三相の変動分基本電圧ΔVu、ΔVv、ΔVwは、前述したように、瞬時電圧低下発生後の三相の系統電圧vと瞬時電圧低下発生前の系統電圧である三相のベース電圧vbとの差分である変動分電圧Δvから低域フィルタを適用して過渡振動の影響をカットして求められる。三相の変動分基本電圧ΔVu、ΔVv、ΔVwの三相成分に対して、(9)式により各相基準のαβ変換を行い、各相基準(U相基準、V相基準、W相基準)のα相変動分基本電圧ΔVα,u、ΔVα,v、ΔVα,w及びβ相変動分基本電圧ΔVβ,u、ΔVβ,v、ΔVβ,wを求める(S62)。 FIG. 19 is a flowchart showing an example of specifying the transformer primary side connection method of the source of the inrush current by using the index defined by the equation (17). Three-phase fluctuation basic voltages ΔV u , ΔV v , ΔV w are obtained (S 61). As described above, the three-phase fluctuation basic voltages ΔV u , ΔV v , and ΔV w are the three-phase system voltage v after the occurrence of the instantaneous voltage drop and the three-phase base voltage that is the system voltage before the occurrence of the instantaneous voltage drop. It is obtained by applying a low-pass filter from the fluctuation voltage Δv that is the difference from v b to cut the influence of transient vibration. The three-phase components of the three-phase fluctuation basic voltages ΔV u , ΔV v , and ΔV w are subjected to αβ conversion of each phase reference by the equation (9), and each phase reference (U-phase reference, V-phase reference, W Phase reference) basic voltage ΔV α, u , ΔV α, v , ΔV α, w and β phase fluctuation basic voltage ΔV β, u , ΔV β, v , ΔV β, w (S62) .
そして、変圧器投入後のベース電圧vbの1サイクルの区間でα相変動分基本電圧ΔVα及びβ相変動分基本電圧ΔVβのそれぞれの絶対値最大なる基準相を選び出す(S63)。一方、変動分基本電圧ΔVが瞬時電圧低下発生後のベース電圧vbの1サイクルの間でマイナスからプラスまたはプラスからマイナスへ大きく変化するときの零点を磁気飽和開始時刻Tsとし、その磁気飽和開始時刻Tsの後の直近の変動分基本電圧ΔVの零点を磁気飽和中点時刻Tcとして、磁気飽和開始時刻Ts及び磁気飽和中点時刻Tcを求める(S64)。 Then, the reference phase having the maximum absolute value of each of the α-phase fluctuation basic voltage ΔV α and the β-phase fluctuation basic voltage ΔV β is selected in one cycle of the base voltage v b after the transformer is turned on (S63). On the other hand, the zero point when the fluctuation basic voltage ΔV changes greatly from minus to plus or from plus to minus during one cycle of the base voltage v b after the occurrence of the instantaneous voltage drop is defined as the magnetic saturation start time T s. as recent variation basic voltage magnetic saturation midpoint time T c of the zero point of ΔV after the start time T s, determine the magnetic saturation start time T s and magnetic saturation midpoint time T c (S64).
次に、α相変動分基本電圧ΔVαの基準相でのα相変動分基本電圧ΔVα及びβ相変動分基本電圧ΔVβを磁気飽和開始時刻Tsと磁気飽和中点時刻Tcとの時間幅で積分してα相磁束変動分ΔΦα及びβ相磁束変動分ΔΦβを求める(S65)。β相磁束変動分ΔΦβをα相磁束変動分ΔΦαで除算した値が閾値ε1以下であるかどうかを判定し(S66)、閾値ε1以下であるときは変圧器の1次側結線はY結線であると判定する(S67)。 Next, alpha-phase fluctuation fundamental voltage [Delta] V alpha and alpha phase fluctuation fundamental voltage [Delta] V alpha and beta phase fluctuation fundamental voltage [Delta] V beta magnetic saturation start time T s and the magnetic saturation midpoint time T c of the reference phase The α phase magnetic flux fluctuation amount ΔΦ α and the β phase magnetic flux fluctuation amount ΔΦ β are obtained by integration with the time width (S65). It is determined whether or not the value obtained by dividing the β-phase magnetic flux variation ΔΦ β by the α-phase magnetic flux variation ΔΦ α is equal to or smaller than the threshold ε1 (S66). It determines with it being a connection (S67).
一方、ステップS66の判定で閾値ε1以下でないときは、β相変動分基本電圧ΔVβの基準相でのα相変動分基本電圧ΔVα及びβ相変動分基本電圧ΔVβを磁気飽和開始時刻Tsと磁気飽和中点時刻Tcとの時間幅で積分してα相磁束変動分ΔΦα及びβ相磁束変動分ΔΦβを求める(S68)。α相磁束変動分ΔΦαをβ相磁束変動分ΔΦβで除算した値が閾値ε2以下であるかどうかを判定し(S69)、閾値ε2以下であるときは変圧器の1次側結線はΔ結線であると判定する(S70)。 On the other hand, if it is not less than the threshold value ε1 in the determination of step S66, the α-phase variation basic voltage ΔV α and the β-phase variation basic voltage ΔV β in the reference phase of the β-phase variation basic voltage ΔV β are set to the magnetic saturation start time T. The α phase magnetic flux fluctuation amount ΔΦ α and the β phase magnetic flux fluctuation amount ΔΦ β are obtained by integrating with the time width between s and the magnetic saturation midpoint time Tc (S68). It is determined whether or not the value obtained by dividing the α-phase magnetic flux variation ΔΦ α by the β-phase magnetic flux variation ΔΦ β is equal to or smaller than the threshold ε2 (S69). It determines with it being a connection (S70).
本発明の実施の形態によれば、変圧器鉄心の鎖交磁束Φ(t)は、磁気飽和開始時刻Tsでの飽和開始磁束と磁気飽和終了時刻Teでの飽和終了磁束とが等しいことに着目し、磁気飽和開始時刻Tsと磁気飽和終了時刻Teとの時間幅で変圧器鉄心の端子電圧v(t)を積分して、磁気飽和開始時刻Tsの変圧器鉄心の鎖交磁束と磁気飽和終了時刻Teの変圧器鉄心の鎖交磁束との差分を求め、その差分が所定値以下のときは変圧器の励磁突入電流による瞬時電圧低下であると判定するので、励磁突入電流が測定できない場合であっても励磁突入電流による瞬時電圧低下を判別できる。 According to the embodiment of the present invention, the flux linkage of the transformer core [Phi (t), it saturated End flux at saturation start flux and magnetic saturation end time T e of the magnetic saturation start time T s is equal to focusing on integrates the transformer core of the terminal voltage v (t) from the time range of the magnetic saturation start time T s and the magnetic saturation end time T e, the transformer core magnetic saturation start time T s interlinkage It obtains a difference between the flux linkage transformer core flux and magnetic saturation end time T e, so determining the difference between when the predetermined value or less is a momentary voltage drop due to transformer inrush current of the transformer, the transformer inrush Even when the current cannot be measured, the instantaneous voltage drop due to the inrush current can be determined.
瞬時電圧低下発生直前の電圧の1サイクル分であるベース電圧と、瞬時電圧低下発生後の電圧との差を用い、さらに、低域フィルタにより変圧器投入による過渡振動の影響をカットした変動分基本電圧を求め、1サイクルめの変動分基本電圧の零の時刻を磁気飽和開始時刻とし、そのときの鎖交磁束と次の2サイクルめの磁気飽和開始時刻での鎖交磁束の値が等しい場合に瞬時電圧低下発生原因が励磁突入電流であると判定するので、励磁突入電流が測定できない場合であっても励磁突入電流による瞬時電圧低下を判別できる。 Using the difference between the base voltage, which is one cycle of the voltage just before the occurrence of the instantaneous voltage drop, and the voltage after the occurrence of the instantaneous voltage drop, and further, the basis of the fluctuation that cuts the influence of transient vibration caused by turning on the transformer with a low-pass filter When the voltage is obtained and the time of zero fluctuation of the basic voltage for the first cycle is the magnetic saturation start time, the flux linkage at that time and the value of the flux linkage at the second magnetic saturation start time are equal Since the cause of the instantaneous voltage drop is determined to be the inrush current, the instantaneous voltage drop due to the inrush current can be determined even when the inrush current cannot be measured.
また、1サイクル分の電圧測定データのみで励磁突入電流による瞬時電圧低下を見分ける方法として、ベース電圧と飽和領域との零クロス時刻Tcが飽和領域の中央付近なので、Te≒Ts +2(Tc−Ts)と近似し、一方、鎖交磁束Φ(Ts)と同一なΦの値の時刻もTeと考えられるので、この2つのTe値の差が許容誤差内にあるときに、励磁突入電流が原因と判別することができる。 Further, as a method for discriminating the instantaneous voltage drop due to the inrush current by only the voltage measurement data for one cycle, since the zero crossing time Tc between the base voltage and the saturation region is near the center of the saturation region, T e ≈T s +2 (T c -T s) and approximate, whereas, since the flux linkage [Phi (Ts) and the time the same value of [Phi also considered T e, the difference between the two T e values are within tolerance Sometimes it can be determined that the inrush current is the cause.
さらに、励磁突入電流現象が発生した変圧器の1次側結線(Δ巻線、Y巻線)により、現象の様相が異なるため、1次側結線を特定するために、まず,三相成分に各相基準のαβ変換を行い3種類のΔVα,ΔVβを求め、同様にして系統電圧vもαβ変換して3種の電圧vα,vβを求め、次いで、投入後1サイクルの区間でα相変動分基本電圧ΔVα、β相変動分基本電圧ΔVβのそれぞれのΔV極値の絶対値で最大となる基準相を選び、例えばΔVβの絶対値最大の基準相でのΔVβ,vβを用い、vβ(Tc) の絶対値が閾値以下の場合にΔ結線とし、他方、ΔVαの絶対値最大の基準相でvα(Tc)の絶対値が閾値以下の場合にY結線とするので、励磁突入電流の発生源の変圧器が瞬時電圧低下の影響を受ける需要家の変圧器か他の需要家の変圧器かの判定が容易となる。 Furthermore, since the aspect of the phenomenon differs depending on the primary side connection (Δ winding, Y winding) of the transformer in which the magnetizing inrush current phenomenon has occurred, in order to identify the primary side connection, first, the three-phase component Αβ conversion of each phase is performed to obtain three types of ΔV α and ΔV β . Similarly, the system voltage v is also αβ converted to obtain three types of voltages v α and v β. To select the reference phase that maximizes the absolute value of the ΔV extreme value of each of the α-phase fluctuation basic voltage ΔV α and β-phase fluctuation basic voltage ΔV β . For example, ΔV β in the reference phase having the maximum absolute value of ΔV β , V β , and Δ connection is made when the absolute value of v β (T c ) is less than or equal to the threshold value. On the other hand, the absolute value of v α (T c ) is less than the threshold value in the reference phase having the maximum absolute value of ΔV α . In case of Y connection, the transformer of the source of the excitation inrush current is affected by the instantaneous voltage drop or other transformer It is easy to determine whether the transformer is a consumer.
Ts…磁気飽和開始時刻、Te…磁気飽和終了時刻、fN…商用周波数、Φs…飽和開始磁束、v(t)…電圧、Φ(t)…鎖交磁束、ib…ベース電流、Δi…変動分電流、ΔI…変動分基本電流、vb…ベース電圧、Δv…変動分電圧、ΔV変動分基本電圧、Tc…磁気飽和中点時刻、ΔVα…α相変動分基本電圧、ΔVβ…β相変動分基本電圧 T s ... Magnetic saturation start time, T e ... Magnetic saturation end time, f N ... Commercial frequency, Φs ... Saturation start magnetic flux, v (t) ... Voltage, Φ (t) ... Interlinkage magnetic flux, i b ... Base current, Δi, fluctuation current, ΔI, fluctuation basic current, v b, base voltage, Δv, fluctuation voltage, ΔV fluctuation basic voltage, T c, magnetic saturation midpoint time, ΔV α, α phase fluctuation basic voltage, ΔV β … Basic voltage for β phase fluctuation
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