Calculation of Three-phase Voltage Imbalance Ratio.

Keyword

Three phase Voltage Imbalance Ratio,Line Voltage,Positive Sequence Voltage,Negative Sequence Voltage,Zero Sequence Voltage.

Reference

・『三相交流電圧不平衡(率)の計算・測定方法とその影響・対策』(篠原茂。『電気技術者 '08 No.10』 社団法人日本電気技術者協会）

Remarks

・It is possible to calculate it similarly by replacing "Voltage" by "Electric Current" respectively in case of "Three phase Electric Current Imbalance Ratio".
・Es=(Eab+Ebc+Eca)/2.
・EA=1/6*(Eab^2+Ebc^2+Eca^2).
・EB=2/3^0.5*(Es*(Es-Eab)*(Es-Ebc)*(Es-Eca))^0.5.
・Positive Sequence Voltage(E1)=(EA+EB)^0.5.
・Negative Sequence Voltage(E2)=(EA-EB)^0.5.
・Voltage Imbalance Ratio(k)=E2/E1*100(%).

History

・2014/08/12：layout change.
・2009/03/27：Moved from www.am-consulting.co.jp to here.