Question

The A-4 circuit is given below, where V, - 191 20" V. V. = 191 2–120 V, and V = 191 2120° V. a A 30 ΩΣ (+) V. j10 ΩΕ 30 Ω b GV B 30 Ω Ej102 V. j10ΩΕ C с References eBook & Resources Section Break Difficulty: Medium Problem 12.019-DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS Learning Objective: Understanding and analyzing balanced delta-delta circuits. 2. value: 10.00 points Problem 12.019.a - Phase currents in a balanced delta-delta circuit Determine the phase currents for the given A-4 circuit. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees. The phase currents for the given circuit are given below. AB lac CA= РА 'A A

Answer 1

given, 30M A 301 vion B b Ejion w 301 & vb ilan ww U Ć Va = 191 Lo, b = 1912-120° Ve=191 L120° By redrawing the circuit in A-d topology A 30 3on Vca Je Vavab jioni jion 1 ICA. IAB mom jion m C b B Vba Voc I Bc 3on Z AB= 30tilor, Z BC= 3o+ilom ZcA = 30+5lon since, By KvL in loop o - Vab + ZARZAB=0 191L0 + IAB (30+910) 20

191 20 I AB 30+910 IAB - 6.03995-18-435° Kv2 in loop - Vbet Z Bc (IBC) = 0 I BC Vbc ZBC 1 BC ? 1914-120 30 + 110 IBC = 6.03995L-138.435° A similcry KvL in buten loop - Vca + Ica (ZCA) = 0 Vca ICAZ 1914120 ZCA 30+910 ICA = 60 3995/101-565° A.