an abc-sequence set of voltages and Van = 120/40° V rms. If the a-phase line current and line impedance are known to be 6/15° A rms and 1 + j1 , respectively, find the load impedance. 11.50 An abc-phase-sequence three-phase balanced wye-con- nected source supplies a balanced delta-connected load. The impedance per phase in the delta load is 12 + j6 N. The line voltage at the source is Vab= 120 √3/40° V rms. If the line impedance is zero, find the line currents in the balanced wye-delta system. 11.51 An abc-phase-sequence three-phase balanced wye-connect- ed source supplies power to a balanced delta-connected load. The impedance per phase in the load is 14 + j7 . If the source voltage for the a phase is Va = 120/80° V rms and the line impedance is zero, find the phase currents in the wye-connected source. an 11.52 In a three-phase balanced delta-delta system, the source has an abc-phase sequence. The line and load impedances are 0.3 + j0.2 2 and 9 + j6 , respectively. If the load current in the delta is IAB = 15/40° A rms, find the phase bare voltages of the source. 11.53 An abc-phase-sequence three-phase balanced wye- connected source supplies a balanced delta-connected load. The impedance per phase of the delta load is 10 + j8 0. If the line impedance is zero and the line current in the a phase is known to be IA 28.10/-28.66° A rms, find the load voltage VAB = 11.54 In a balanced three-phase wye-delta system, the source has an abc-phase sequence and Van = 120/0° V rms. If the line impedance is zero and the line current IaA = 5/20° A rms, find the load impedance per phase in the delta. 11.55 A three-phase load impedance consists of a balanced wye in parallel with a balanced delta. What is the equivalent wye load and what is the equivalent delta load if the phase impedances of the wye and delta are 6 + j3 2 and 15+j10 , respectively? 11.56 In a balanced three-phase system, the source is a balanced wye with an abc-phase sequence and V ab 215/50° V rms. The load is a balanced wye in parallel with a balanced delta The phase impedance of the wye is 5 + by the 11.59 Calcul- phase the loa 11.60 A thre supply has a to tw is pu ance 11.61 Dete each 11.62 A d sequ imp loa vol and the po 11.63 A lo is 20 11.64 I S 1 11.65 C 11.66

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I need help with question 11.54
### Chapter 11: Three-Phase Systems

#### Problem 11.50
An abc-phase-sequence three-phase balanced wye-connected source supplies a balanced delta-connected load. The impedance per phase in the delta load is \(12 + j6 \, \Omega\). The line voltage at the source is \(V_{ab} = 120 \sqrt{3} \angle 40^\circ \, \text{V rms}\). If the line impedance is zero, find the line currents in the balanced wye–delta system.

#### Problem 11.51
An abc-phase-sequence three-phase balanced wye-connected source supplies power to a balanced delta-connected load. The impedance per phase in the load is \(14 + j7 \, \Omega\). If the source voltage for the a phase is \(V_{an} = 120/\angle 80^\circ \, \text{V rms}\) and the line impedance is zero, find the phase currents in the wye-connected source.

#### Problem 11.52
In a three-phase balanced delta–delta system, the source has an abc-phase sequence. The line and load impedances are \(0.3 + j0.2 \, \Omega\) and \(j + j6 \, \Omega\), respectively. If the load current in the delta is \(I_{AB} = 15/\angle 40^\circ \, \text{A rms}\), find the phase voltages of the source.

#### Problem 11.53
An abc-phase-sequence three-phase balanced wye-connected source supplies a balanced delta-connected load. The impedance per phase of the delta load is \(10 + j8 \, \Omega\). If the line impedance is zero and the line current in the a phase is known to be \(I_{aa} = 28.10/-28.66^\circ \, \text{A rms}\), find the load voltage \(V_{AB}\).

#### Problem 11.54
In a balanced three-phase wye–delta system, the source has an abc-phase sequence and \(V_{an} = 120/\angle 0^\circ \, \text{V rms}\). If the line impedance is zero and the line current \(I_a = 5/\angle 20^\circ \, \text{A rms}\), find the load impedance per phase in the delta.

#### Problem
Transcribed Image Text:### Chapter 11: Three-Phase Systems #### Problem 11.50 An abc-phase-sequence three-phase balanced wye-connected source supplies a balanced delta-connected load. The impedance per phase in the delta load is \(12 + j6 \, \Omega\). The line voltage at the source is \(V_{ab} = 120 \sqrt{3} \angle 40^\circ \, \text{V rms}\). If the line impedance is zero, find the line currents in the balanced wye–delta system. #### Problem 11.51 An abc-phase-sequence three-phase balanced wye-connected source supplies power to a balanced delta-connected load. The impedance per phase in the load is \(14 + j7 \, \Omega\). If the source voltage for the a phase is \(V_{an} = 120/\angle 80^\circ \, \text{V rms}\) and the line impedance is zero, find the phase currents in the wye-connected source. #### Problem 11.52 In a three-phase balanced delta–delta system, the source has an abc-phase sequence. The line and load impedances are \(0.3 + j0.2 \, \Omega\) and \(j + j6 \, \Omega\), respectively. If the load current in the delta is \(I_{AB} = 15/\angle 40^\circ \, \text{A rms}\), find the phase voltages of the source. #### Problem 11.53 An abc-phase-sequence three-phase balanced wye-connected source supplies a balanced delta-connected load. The impedance per phase of the delta load is \(10 + j8 \, \Omega\). If the line impedance is zero and the line current in the a phase is known to be \(I_{aa} = 28.10/-28.66^\circ \, \text{A rms}\), find the load voltage \(V_{AB}\). #### Problem 11.54 In a balanced three-phase wye–delta system, the source has an abc-phase sequence and \(V_{an} = 120/\angle 0^\circ \, \text{V rms}\). If the line impedance is zero and the line current \(I_a = 5/\angle 20^\circ \, \text{A rms}\), find the load impedance per phase in the delta. #### Problem
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