A star network of three impedances ZAN, ZBN and ZCN connected together at common node N can be transformed into a delta network of three impedances ZAB, ZBC and ZCA by the following equations:ZAB = ZAN + ZBN + (ZANZBN / ZCN) = (ZANZBN + ZBNZCN + ZCNZAN) / ZCNZBC = ZBN + ZCN + (ZBNZCN / ZAN) = (ZANZBN + ZBNZCN + ZCNZAN) / ZANZCA = ZCN + ZAN + (ZCNZAN / ZBN) = (ZANZBN + ZBNZCN + ZCNZAN) / ZBN
Similarly, using admittances:YAB = YANYBN / (YAN + YBN + YCN)YBC = YBNYCN / (YAN + YBN + YCN)YCA = YCNYAN / (YAN + YBN + YCN)
In general terms:Zdelta = (sum of Zstar pair products) / (opposite Zstar)Ydelta = (adjacent Ystar pair product) / (sum of Ystar)
Similarly, using admittances:YAB = YANYBN / (YAN + YBN + YCN)YBC = YBNYCN / (YAN + YBN + YCN)YCA = YCNYAN / (YAN + YBN + YCN)
In general terms:Zdelta = (sum of Zstar pair products) / (opposite Zstar)Ydelta = (adjacent Ystar pair product) / (sum of Ystar)
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