A delta network of three impedances ZAB, ZBC and ZCA can be transformed into a star network of three impedances ZAN, ZBN and ZCN connected together at common node N by the following equations:ZAN = ZCAZAB / (ZAB + ZBC + ZCA)ZBN = ZABZBC / (ZAB + ZBC + ZCA)ZCN = ZBCZCA / (ZAB + ZBC + ZCA)
Similarly, using admittances:YAN = YCA + YAB + (YCAYAB / YBC) = (YABYBC + YBCYCA + YCAYAB) / YBCYBN = YAB + YBC + (YABYBC / YCA) = (YABYBC + YBCYCA + YCAYAB) / YCAYCN = YBC + YCA + (YBCYCA / YAB) = (YABYBC + YBCYCA + YCAYAB) / YAB
In general terms:Zstar = (adjacent Zdelta pair product) / (sum of Zdelta)Ystar = (sum of Ydelta pair products) / (opposite Ydelta)
The above information provided by BOWest Pty Ltd Electrical & Project Engineering
Similarly, using admittances:YAN = YCA + YAB + (YCAYAB / YBC) = (YABYBC + YBCYCA + YCAYAB) / YBCYBN = YAB + YBC + (YABYBC / YCA) = (YABYBC + YBCYCA + YCAYAB) / YCAYCN = YBC + YCA + (YBCYCA / YAB) = (YABYBC + YBCYCA + YCAYAB) / YAB
In general terms:Zstar = (adjacent Zdelta pair product) / (sum of Zdelta)Ystar = (sum of Ydelta pair products) / (opposite Ydelta)
The above information provided by BOWest Pty Ltd Electrical & Project Engineering
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