JP2008219989A - Power interchange device - Google Patents
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Abstract
【課題】従来の技術では、平均有効電力の演算に半周期移動平均を使用しているため、半周期(基本波位相で180°)の演算遅れが生じ、有効電力の変動が大きい場合には、演算遅れにより電力融通量に誤差が発生するという課題がある。
【解決手段】単相交流間で電力融通を行う電力融通装置において、それぞれの相の瞬時負荷電圧と瞬時負荷電流を乗じて瞬時電力を演算し、前記瞬時電力から基本波位相で30°前の瞬時電力を減算し、さらに、基本波位相で60°前の瞬時電力を加算することにより平均有効電力を演算し、それぞれの相の有効電力の差分から電力融通を行う。
【選択図】図3[PROBLEMS] The conventional technique uses a half-cycle moving average for calculating the average active power, so that a calculation delay of half cycle (180 ° in fundamental wave phase) occurs, and the fluctuation of active power is large. There is a problem that an error occurs in the power accommodation amount due to a calculation delay.
In a power interchange device that performs power interchange between single-phase alternating currents, the instantaneous power is calculated by multiplying the instantaneous load voltage and the instantaneous load current of each phase, and the fundamental phase is 30 degrees before the instantaneous power. The average active power is calculated by subtracting the instantaneous power, and adding the instantaneous power of 60 ° before the fundamental wave phase, and power interchange is performed from the difference of the active power of each phase.
[Selection] Figure 3
Description
本発明は、インバ-タを用いて単相交流間で電力融通を行う電力融通装置の制御方式に関する。 The present invention relates to a control method for a power accommodation apparatus that performs power accommodation between single-phase alternating currents using an inverter.
単相交流間で電力融通を行うためには、電力融通行うそれぞれの単相の電力を演算する必要がある。ここで、
瞬時電圧:e=Esin(wt) ・・・(1)
瞬時電流:i=Isin(wt+θ) ・・・(2)
とすると、瞬時電力pは、以下のようになる。
瞬時電力p=e*i= Esin(wt)* Isin(wt+θ) = P/2*(cosθ-cos(2wt+θ))・・・(3)
(但し、P=E*I、wは角周波数、θは位相角)
(3)式より単相の瞬時電力は、直流分(cosθ分)と基本波の2倍周波数の正弦波リプル分(cos(2wt+θ)分)とになる。このため、平均有効電力を求めるには、2倍周波数の正弦波リプル分を除去する必要がある。
2倍周波数の正弦波リプル分除去方法の従来の実施例を、図5に示す。従来の実施例としては、特許文献1「三相電気量の正相/逆相検知回路」がある。従来の技術では、正相ベクトル変換器の出力IdP、IqPに含まれる逆相分の除去(正相ベクトル変換器の出力は、正相分は直流、逆相分は基本波の2倍周波数の正弦波リプルとなる)、及び、逆相ベクトル変換器の出力IdN、IqNに含まれる正相分の除去(逆相ベクトル変換器の出力は、逆相分は直流、正相分は基本波の2倍周波数の正弦波リプルとなる)に、半周期移動平均(基本波の2倍周波数の移動平均)を使用している。即ち基本波の180°期間にわたり移動平均演算することにより、2m(mは整数)倍の周波数の高調波成分を完全に除去することができる。
Instantaneous voltage: e = Esin (wt) (1)
Instantaneous current: i = Isin (wt + θ) (2)
Then, the instantaneous power p is as follows.
Instantaneous power p = e * i = Esin (wt) * Isin (wt + θ) = P / 2 * (cosθ-cos (2wt + θ)) ... (3)
(However, P = E * I, w is angular frequency, θ is phase angle)
From equation (3), the single-phase instantaneous power is a DC component (cosθ component) and a sinusoidal ripple component (cos (2wt + θ) component) that is twice the fundamental frequency. Therefore, in order to obtain the average active power, it is necessary to remove the double frequency sine wave ripple.
FIG. 5 shows a conventional embodiment of a method of removing a double frequency sine wave ripple. As a conventional example, there is
上述のように、従来の技術では、平均有効電力の演算に半周期移動平均を使用しているため、半周期(基本波位相で180°)の演算遅れが生じ、有効電力の変動が大きい場合には、演算遅れにより電力融通量に誤差が発生するという課題がある。 As described above, the conventional technique uses a half-cycle moving average for calculating the average active power, so that a calculation delay of a half cycle (180 ° in the fundamental wave phase) occurs and the fluctuation of the active power is large. However, there is a problem that an error occurs in the power accommodation amount due to a calculation delay.
上述の課題を解決するために、第1の発明においては単相交流間で電力融通を行う電力融通装置において、それぞれの相の瞬時負荷電圧と瞬時負荷電流を乗じて瞬時電力を演算し、前記瞬時電力から基本波位相で30°前の瞬時電力を減算し、さらに、基本波位相で60°前の瞬時電力を加算することにより平均有効電力を演算し、それぞれの相の有効電力の差分から電力融通を行う。 In order to solve the above-described problem, in the first invention, in the power accommodation device that performs power accommodation between single-phase alternating current, the instantaneous power is calculated by multiplying the instantaneous load voltage and the instantaneous load current of each phase, The average active power is calculated by subtracting the instantaneous power of 30 ° before the fundamental phase from the instantaneous power, and adding the instantaneous power of 60 ° before the fundamental phase, and from the difference of the active power of each phase Perform power interchange.
本発明では、単相交流間で電力融通を行う電力融通装置において、それぞれの相の瞬時負荷電圧と瞬時負荷電流を乗じて瞬時電力を演算し、前記瞬時電力から基本波位相で30°前の瞬時電力を減算し、さらに、基本波位相で60°前の瞬時電力を加算することにより平均有効電力を演算し、それぞれの相の有効電力の差分から電力融通を行うようにしているため、少ない演算遅れで単相の有効電力を演算できる。その結果、電鉄用電力融通装置などの負荷の有効電力が急変する装置に適用しても、演算遅れによる電力融通誤差を小さくでき、装置の高性能化が可能となる。 In the present invention, in a power accommodation device that performs power accommodation between single-phase alternating currents, the instantaneous power is calculated by multiplying the instantaneous load voltage and the instantaneous load current of each phase, and the fundamental phase is 30 ° before the instantaneous power. Since the average active power is calculated by subtracting the instantaneous power and then adding the instantaneous power of 60 ° before the fundamental phase, and power is interchanged from the difference of the active power of each phase, there is little Single-phase active power can be computed with computation delay. As a result, even when applied to a device in which the effective power of the load changes suddenly, such as a power interchange device for railways, a power interchange error due to a calculation delay can be reduced, and the performance of the device can be improved.
本発明の要点は、単相交流間で電力融通を行う電力融通装置において、平均有効電力の演算方法として、それぞれの相の瞬時負荷電圧と瞬時負荷電流を乗じて瞬時電力を演算し、前記瞬時電力から基本波位相で30°前の瞬時電力を減算し、さらに、基本波位相で60°前の瞬時電力を加算するようにしている点である。
The main point of the present invention is that, in a power interchange apparatus that performs power interchange between single-phase alternating currents, as an average active power calculation method, an instantaneous power is calculated by multiplying an instantaneous load voltage and an instantaneous load current of each phase, and the instantaneous power is calculated. The point is that the
図1に、瞬時電圧、瞬時電流、及び、瞬時電力の関係を説明する図を示す。(3)式に示したように、瞬時電力は、直流分と基本波の2倍周波数の正弦波リプル分になる。
図2に、第1の発明を説明する図を示す。(3)式のwtに、基本波位相で30°前の瞬時電力に相当するwt-30°を、及び基本波位相で60°前の瞬時電力に相当するwt-60°を、それぞれ代入すると、30°前の瞬時電圧p(-30)は(4)式のように、60°前の瞬時電圧p(-60)は(5)式のようになる。
p(-30)= P/2*(cosθ-cos(2(wt-30°)+θ))= P/2*(cosθ-cos(2wt+θ-60°))
=P/2*(cosθ+cos(2wt+θ-240°))・・・(4)
p(-60)= P/2*(cosθ-cos(2(wt-60°)+θ))= P/2*(cosθ-cos(2wt+θ-120°))・・・(5)
従って、(3)式から、(4)式を減算し、(5)式を加算すると、
p- p(-30)+p(-60)= P/2*(cosθ-cos(2wt+θ))-P/2*(cosθ+cos(2wt+θ-240°))
+P/2*(cosθ-cos(2wt+θ-120°))
=P/2*cosθ-P/2*(cos(2wt+θ)+cos(2wt+θ-120°)+cos(2wt+θ-240°))
=P/2*cosθ・・・(6)
(6)式のようになる。即ち、基本波の2倍周波数の正弦波リプルを除去でき、平均有効電力が求められる。本発明では、有効電力の演算遅れは、現在の値と、基本波位相で30°前、及び60°前の値を使用しているため、ほぼ30°相当の遅れで済む。
FIG. 1 is a diagram illustrating the relationship between instantaneous voltage, instantaneous current, and instantaneous power. As shown in the equation (3), the instantaneous power is a sine wave ripple of the DC component and twice the fundamental frequency.
FIG. 2 is a diagram for explaining the first invention. Substituting wt-30 in the equation (3) for wt-30 °, which corresponds to the
p (-30) = P / 2 * (cosθ-cos (2 (wt-30 °) + θ)) = P / 2 * (cosθ-cos (2wt + θ-60 °))
= P / 2 * (cosθ + cos (2wt + θ-240 °)) ... (4)
p (-60) = P / 2 * (cosθ-cos (2 (wt-60 °) + θ)) = P / 2 * (cosθ-cos (2wt + θ-120 °)) ... (5)
Therefore, subtracting (4) from (3) and adding (5),
p- p (-30) + p (-60) = P / 2 * (cosθ-cos (2wt + θ))-P / 2 * (cosθ + cos (2wt + θ-240 °))
+ P / 2 * (cosθ-cos (2wt + θ-120 °))
= P / 2 * cosθ-P / 2 * (cos (2wt + θ) + cos (2wt + θ-120 °) + cos (2wt + θ-240 °))
= P / 2 * cosθ ・ ・ ・ (6)
It becomes like (6) types. That is, a sinusoidal ripple having a frequency twice that of the fundamental wave can be removed, and an average active power is obtained. In the present invention, the calculation delay of the active power uses a current value and values of 30 ° before and 60 ° before the fundamental wave phase, so that a delay equivalent to about 30 ° is sufficient.
図3は、本発明を電鉄用電力融通装置に適用した場合の実施例を示す回路図である。三相交流電源11をき電トランス12で、90°位相のずれた単相交流であるM座、T座のそれぞれの電圧vM,vTに変換し、M座のラインには電流検出器13を介してM座負荷17、及び電圧検出器15が、T座のラインには電流検出器14を介してT座負荷18、及び電圧検出器16が、またM座ラインには電力融通装置として、トランス(TrM)19を介して交流入力としたインバータ(INVM)21が、T座ラインには電力融通装置としてトランス(TrT)20を介して交流入力としたインバータ(INVT)22が接続され、インバータ21とインバータ22の直流部は共通に接続されている。
電力融通用インバータ21への電力指令PM*とインバータ22への電力指令PT*は下記のように生成される。
M座の平均有効電力PMは、電流検出器13で検出した交流負荷電流iMとM座の交流電圧vMとを乗算器23で掛算して求めた瞬時電力pMを平均有効電力演算器25に入力し、この演算器25で基本波位相で30°前の瞬時電力を減算し、さらに基本波位相で60°前の瞬時電力を加算して求める。またT座の平均有効電力PTは、電流検出器14で検出した交流負荷電流iTとT座の交流電圧vTとを乗算器24で掛算して求めた瞬時電力pTを平均有効電力演算器26に入力し、この演算器26で基本波位相で30°前の瞬時電力を減算し、さらに基本波位相で60°前の瞬時電力を加算して求める。
さらに、M座の平均有効電力PMとT座の平均有効電力PTとの差が加算器27で求められ、この差の半分を割算器28で求めて、これをインバータ21への電力指令PM*とする。また、インバータ21への電力指令PM*の符号を符号反転器29で反転したものをインバータ22への電力指令PT*とする。
ここで、平均有効電力演算器25、26の構成例を図4に示す。T座での例であるが、M座においても同様である。平均有効電力演算器(PA)25では、瞬時電力pM(T)に、メモリ(MEM)31に格納された30°前の瞬時電力pM(T)(-30°)を減算し、さらにメモリ(MEM)31に格納された60°前の瞬時電力pM(T)(-60°)を加算している。メモリ(MEM)31は、60°の期間に相当するリングバッファで構成される。例えば、60°の期間に相当するリングバッファの数を60個(d1〜d60)とし、60°前の瞬時電力が10番目のバッファ(d10)に格納されているとすると、10番目のバッファ(d10)より60°前の瞬時電力pM(T)(-60°)を読み出し、10番目のバッファ(d10)より30°相当位相の進んだ40番目バッファ(d40)より30°前の瞬時電力pM(T)(-30°)を読み出し、加減算を行っている。そして、10番目のバッファより60°前の瞬時電力pM(T)(-60°)を読み出した後に、現在の瞬時電力pM(T)を格納する。次に平均有効電力を演算する時には、11番目のバッファが60°前の瞬時電力pM(T)(-60°)となり、41番目バッファ(d40)が30°前の瞬時電力pM(T)(-30°)となる。このように、メモリMEMの読込みと格納を逐次行うことにより、
平均有効電力PM(T)を演算している。
以上のように、M座の平均有効電力PMとT座の平均有効電力PTを算出し、これらの差分の半分の電力をインバータINVM、INVTの電力指令PM*、PT*とし、電力融通することにより、き電トランス(FT)12のM座電力PM’、T座電力PT’は、(7)式,(8)式のようになり、平衡化できる。
FIG. 3 is a circuit diagram showing an embodiment when the present invention is applied to a power interchange device for electric railways. A three-phase AC power source 11 is converted into a voltage VM, vT of M- and T-seats, which are single-phase ACs that are 90 ° out of phase, with a feeding transformer 12, and a
The power command PM * to the power interchange inverter 21 and the power command PT * to the
The average active power PM of the M seat is input to the average active power calculator 25 by the instantaneous power pM obtained by multiplying the AC load current iM detected by the
Further, the difference between the average active power PM at the M position and the average active power PT at the T position is obtained by the
Here, a configuration example of the average
Average active power PM (T) is calculated.
As described above, calculate the average active power PM of the M seat and the average active power PT of the T seat, and use half of the difference as the power commands PM * and PT * of the inverters INVM and INVT for power interchange. Thus, the M seat power PM ′ and the T seat power PT ′ of the feeder transformer (FT) 12 are expressed by the equations (7) and (8) and can be balanced.
M座電力:PM’= PM-PM*=PM-1/2*(PM-PT)=1/2*(PM+PT)・・・(7)
T座電力:PT’= PT-PT*=PT+1/2*(PM-PT)=1/2*(PM+PT)・・・(8)
M power: PM '= PM-PM * = PM-1 / 2 * (PM-PT) = 1/2 * (PM + PT) (7)
T-seat power: PT '= PT-PT * = PT + 1/2 * (PM-PT) = 1/2 * (PM + PT) (8)
本発明は、交流き電鉄道のき電トランス出力(M座,T座)間の電力不平衡の解消に適用可能である。 The present invention can be applied to the elimination of power imbalance between feeding transformer outputs (M seat, T seat) of an AC feeding railway.
11・・・三相交流電源 12・・・き電トランス
13、14・・・電流検出器 15、16・・・電圧検出器
17・・・M座負荷 18・・・T座負荷
19,20・・・トランス 21、22・・・インバータ
23、24・・・乗算器 25、26・・・平均有効電力演算器
27・・・加算器 28・・・割算器 29・・・符号反転器
30・・・加算器 31・・・メモリ
DESCRIPTION OF SYMBOLS 11 ... Three-phase AC power supply 12 ... Feeding
Claims (1)
それぞれの相の瞬時負荷電圧と瞬時負荷電流を乗じて瞬時電力を演算し、前記瞬時電力から基本波位相で30°前の瞬時電力を減算し、さらに、基本波位相で60°前の瞬時電力を加算することにより平均有効電力を演算し、それぞれの相の有効電力の差分から電力融通を行うことを特徴とした電力融通装置。 In a power interchange device that performs power interchange between single-phase alternating currents,
Multiply the instantaneous load voltage and instantaneous load current of each phase to calculate the instantaneous power, subtract the instantaneous power 30 degrees before the fundamental phase from the instantaneous power, and then the instantaneous power 60 degrees before the fundamental phase A power interchange apparatus characterized in that the average active power is calculated by adding and the power interchange is performed from the difference between the active powers of the respective phases.
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Cited By (1)
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JP2009124823A (en) * | 2007-11-13 | 2009-06-04 | Toshiba Mitsubishi-Electric Industrial System Corp | Controller of railway static power conditioner |
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JPS5152878A (en) * | 1974-11-02 | 1976-05-10 | Tokyo Electric Power Co | Denkiryono kenshutsuhoshiki |
JPH05111164A (en) * | 1991-10-08 | 1993-04-30 | Hitachi Ltd | Power converter |
JP2003061250A (en) * | 2001-08-10 | 2003-02-28 | Mitsubishi Electric Corp | Voltage fluctuation compensator |
JP2003270277A (en) * | 2002-03-13 | 2003-09-25 | Mitsubishi Electric Corp | Instantaneous reactive power in ac circuit, method for calculating reactive power effective value and method for measuring instantaneous reactive power, reactive power effective value and phase difference |
JP2005148028A (en) * | 2003-11-20 | 2005-06-09 | Miwa Electric Co Ltd | Device and method for measuring voltage, current, active power, reactive power, and frequency in power system |
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JPS5152878A (en) * | 1974-11-02 | 1976-05-10 | Tokyo Electric Power Co | Denkiryono kenshutsuhoshiki |
JPH05111164A (en) * | 1991-10-08 | 1993-04-30 | Hitachi Ltd | Power converter |
JP2003061250A (en) * | 2001-08-10 | 2003-02-28 | Mitsubishi Electric Corp | Voltage fluctuation compensator |
JP2003270277A (en) * | 2002-03-13 | 2003-09-25 | Mitsubishi Electric Corp | Instantaneous reactive power in ac circuit, method for calculating reactive power effective value and method for measuring instantaneous reactive power, reactive power effective value and phase difference |
JP2005148028A (en) * | 2003-11-20 | 2005-06-09 | Miwa Electric Co Ltd | Device and method for measuring voltage, current, active power, reactive power, and frequency in power system |
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JP2009124823A (en) * | 2007-11-13 | 2009-06-04 | Toshiba Mitsubishi-Electric Industrial System Corp | Controller of railway static power conditioner |
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