{"id":28692,"date":"2013-05-21T17:08:40","date_gmt":"2013-05-21T11:38:40","guid":{"rendered":"http:\/\/www.kopykitab.com\/blog\/?p=28692"},"modified":"2013-05-21T17:08:40","modified_gmt":"2013-05-21T11:38:40","slug":"delta-and-wye-circuit-equations-notes","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/delta-and-wye-circuit-equations-notes\/","title":{"rendered":"Delta and Wye Circuit Equations Notes"},"content":{"rendered":"<h1 style=\"text-align: center;\">Delta and Wye Circuit Equations Notes<\/h1>\n<p><strong><span style=\"font-family: arial, helvetica, veranda; font-size: medium;\">Delta and Wye Circuit Equations<img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" vspace=\"12\">\u00a0<\/span><\/strong><br \/>\n<img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" vspace=\"10\"><span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>Typical 3-Phase Wiring Diagrams and Equations for Resistive Heaters\u00a0<\/strong><\/span><br \/>\n<span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong><em>Definitions<\/em><img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" vspace=\"12\"><\/strong><br \/>\n<\/span><\/p>\n<table width=\"480\" border=\"0\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td valign=\"top\"><span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>For<img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" border=\"0\" hspace=\"1\" vspace=\"12\">Both Wye and Delta<br \/>\n(Balanced Loads)<\/strong><br \/>\nV<sub>P<\/sub>\u00a0= Phase Voltage<img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" border=\"0\" vspace=\"8\"><br \/>\nV<sub>L<\/sub>\u00a0= Line Voltage<br \/>\nI<sub>P<\/sub>\u00a0= Phase Current<br \/>\nI<sub>L<\/sub>\u00a0= Line Current<br \/>\nR = R1 = R2 = R3 =<br \/>\n<img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" hspace=\"5\">Resistance of each branch<br \/>\nW = Wattage<\/span><\/td>\n<td valign=\"top\"><span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>Wye<img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" border=\"0\" hspace=\"1\" vspace=\"12\">and Delta Equivalent<\/strong><br \/>\nW<sub>DELTA<\/sub>\u00a0= 3 W<sub>WYE<\/sub><\/span><br \/>\n<span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>Open<img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" border=\"0\" hspace=\"1\" vspace=\"12\">3-Phase Circuit Formulas:<\/strong><br \/>\nOpen Delta Watts =\u00a0<sup>2<\/sup>\/<sub>3<\/sub>\u00a0W<sub>DELTA<\/sub><br \/>\nOpen Wye Watts =\u00a0<sup>1<\/sup>\/<sub>2<\/sub>\u00a0W<sub>WYE<\/sub><br \/>\nOpen 4-wire Wye Watts =\u00a0<sup>2<\/sup>\/<sub>3<\/sub>\u00a0W<sub>WYE<\/sub>\u00a0<\/span><br \/>\n<img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" hspace=\"110\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<table class=\" alignleft\" width=\"450\" border=\"0\" cellspacing=\"0\" cellpadding=\"2\" align=\"center\">\n<tbody>\n<tr>\n<td align=\"center\"><img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" vspace=\"12\"><span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>3-Phase Wye<br \/>\n(Balanced Load)<\/strong><\/span><br \/>\n<a href=\"http:\/\/www.wikiplc.com\/images\/reference\/equations\/0101ax.gif\" target=\"_blank\" rel=\"noopener\"><img alt=\"3-Phase Wye\" src=\"http:\/\/www.wikiplc.com\/images\/articles\/electrical\/0101a.gif\" border=\"0\" \/><\/a><\/td>\n<td rowspan=\"4\"><img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" hspace=\"30\"><\/td>\n<td align=\"center\"><img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" vspace=\"12\">\u00a0<span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>3-Phase Open Wye<br \/>\n(No Neutral)<\/strong><br \/>\n<a href=\"http:\/\/www.wikiplc.com\/images\/reference\/equations\/0101bx.gif\" target=\"_blank\" rel=\"noopener\"><img alt=\"3-Phase Open Wye\" src=\"http:\/\/www.wikiplc.com\/images\/articles\/electrical\/0101b.gif\" border=\"0\" vspace=\"5\" \/><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>I<sub>P<\/sub>\u00a0= I\u00a0<sub>L<\/sub><br \/>\nV<sub>P<\/sub>\u00a0= V<sub>L<\/sub>\/1.73<br \/>\nW<sub>WYE<\/sub>\u00a0= V<sub>L<\/sub><sup>2<\/sup>\u00a0\/R = 3 (V<sub>P<\/sub><sup>2<\/sup>) \/R<br \/>\nW<sub>WYE<\/sub>\u00a0= 1.73V<sub>L<\/sub>I<sub>L<\/sub><\/strong><\/span><\/td>\n<td valign=\"top\"><strong><span style=\"font-family: helvetica, arial, veranda; font-size: small;\">I<sub>PO<\/sub>\u00a0= I\u00a0<sub>LO<\/sub><br \/>\nV<sub>PO<\/sub>\u00a0= V<sub>L<\/sub>\/2<br \/>\nW<sub>OWYE<\/sub>\u00a0=\u00a0<sup>1<\/sup>\/<sub>2<\/sub>\u00a0( V<sub>L<\/sub>\u00a0\/R)<br \/>\nW<sub>OWYE<\/sub>\u00a0= 2 (V<sub>PO<sup>2<\/sup><\/sub>\/R)<br \/>\nW<sub>OWYE<\/sub>\u00a0= V<sub>L<\/sub>I<sub>LO<\/sub><\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td align=\"center\"><img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" vspace=\"12\"><span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>3-Phase Delta<br \/>\n(Balanced Load)\u00a0<\/strong><\/span><br \/>\n<a href=\"http:\/\/www.wikiplc.com\/images\/reference\/equations\/0101cx.gif\" target=\"_blank\" rel=\"noopener\"><img alt=\"3-Phase Delta\" src=\"http:\/\/www.wikiplc.com\/images\/articles\/electrical\/0101c.gif\" border=\"0\" \/><\/a><\/td>\n<td align=\"center\"><img alt=\"\" src=\"http:\/\/www.wikiplc.com\/1x1trans.gif\" width=\"1\" height=\"1\" vspace=\"12\">\u00a0<span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>3-Phase Open Delta\u00a0<\/strong><\/span><br \/>\n<a href=\"http:\/\/www.wikiplc.com\/images\/reference\/equations\/0101dx.gif\" target=\"_blank\" rel=\"noopener\"><img alt=\"3-Phase Open Delta\" src=\"http:\/\/www.wikiplc.com\/images\/articles\/electrical\/0101d.gif\" border=\"0\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>I<sub>P<\/sub>\u00a0= I\u00a0<sub>L<\/sub>\/1.73<br \/>\nV<sub>P<\/sub>\u00a0= V<sub>L<\/sub><br \/>\nW<sub>DELTA<\/sub>\u00a0= 3(V<sub>L<\/sub><sup>2<\/sup>)\/R<br \/>\nW<sub>DELTA<\/sub>\u00a0= 1.73V<sub>L<\/sub>I<sub>L<\/sub><\/strong><\/span><\/td>\n<td valign=\"top\"><span style=\"font-family: helvetica, arial, veranda; font-size: small;\"><strong>V<sub>P<\/sub>\u00a0= V<sub>L<\/sub><br \/>\nI<sub>PO1<\/sub>\u00a0= I\u00a0<sub>PO3<\/sub>\u00a0= I\u00a0<sub>LO2<\/sub><br \/>\nI<sub>LO3<\/sub>\u00a0= 1.73 I\u00a0<sub>PO1<\/sub><br \/>\nW<sub>ODELTA<\/sub>\u00a0= 2(V<sub>L<\/sub><sup>2<\/sup>\/R )<\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Delta and Wye Circuit Equations Notes Delta and Wye Circuit Equations\u00a0 Typical 3-Phase Wiring Diagrams and Equations for Resistive Heaters\u00a0 Definitions ForBoth Wye and Delta (Balanced Loads) VP\u00a0= Phase Voltage VL\u00a0= Line Voltage IP\u00a0= Phase Current IL\u00a0= Line Current R = R1 = R2 = R3 = Resistance of each branch W = Wattage Wyeand &#8230; 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