Question

A balanced wye-connected load and a balanced delta con- hected load are supplied by a three-phase 480-V 50 HZ generator. The ranch impedance of the wye and della are 10/30° 2 and 20/-50° 2. respectively. Determine the active and reactive powers drawn by each three loads. Determine the phasor voltage and phase any one branch of each three-phas e branch of each three-phase load, and substitute into wer equation for balanced three-phase loads. Given ise angle of V is 30 and phase angle of delta sys- tem V is 0 e phasor voltage and phasor current for the power equation for bal that phase angle of Von 15 ve

Answer 1

An---) 12.30 20150r 480 V, Comid 102.30 204-50 van = 480 L300 v VAB = 480 Lov Per phase current of star connected load Tan=lg van = 480 230° 10L 360° = 277128 Lo A Apparant powers of stas connected load Zan - 3 * 480 230° *277128 Loo = 23039.989 L300 = (19953.21578 +j 11519.9945 Jua Active powes drawn by soas connected 1. Coada 19953-215780 Reactive power of star connected load - 1519.9945VAR

por phage current of deltage connected load = VAB ZAB E 480 = 84450° A Apparant power of a - connected load - 3 (UAB) TARA = 3x 480x@42500)* = 3 X480x24 (-50° = 34560 %-500 VA = 34560x Cos 50° + j 3456xsinc-50°) : - (22214739 - j 26494.49595) VA . Active power drawn by A-connected load = 22214.739W Reactive power of a-connected load = 26474.49595 VAR leading.