Homework help !!! Problem #6) Given a balanced, positive-sequence, three-phase (30) voltage source that is supplying a balanced,wye-connected load that has the per-phase impedance Zy = (40-j30) 2:vcVbeIaÎnZxZYZYAssuming that the source has line-voltage = 4602-135° volts, determine the phasor valuesof the phase-voltage and the line-current I, along with the total complex-power S30consumed by the 30-load (expressed in rectangular form).

Answered: Image /qna-images/answer/ae859448-542e-4870-b5e2-c4a03c9d97fb.jpg

Problem #6) Given a balanced, positive-sequence, three-phase (30) voltage source that is supplying a balanced, wye-connected load that has the per-phase impedance Zy = (40-j30) 2: Ve Vbc In Zx ZY Zx Assuming that the source has line-voltage = 4602-135° volts, determine the phasor values of the phase-voltage and the line-current , along with the total complex-power S30 consumed by the 30-load (expressed in rectangular form).

Problem #6) Given a balanced, positive-sequence, three-phase (30) voltage source that is supplying a balanced, wye-connected load that has the per-phase impedance Zy = (40-j30) 2: Ve Vbc In Zx ZY Zx Assuming that the source has line-voltage = 4602-135° volts, determine the phasor values of the phase-voltage and the line-current , along with the total complex-power S30 consumed by the 30-load (expressed in rectangular form).

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.42P: A balanced -connected impedance load with (12+j9) per phase is supplied by a balanced three-phase...

See similar textbooks

Similar questions

A balanced -connected impedance load with (12+j9) per phase is supplied by a balanced three-phase 60-Hz,208-V source, (a) Calculate the line current, the total real and reactive power absorbed by the load, the load power factor, and the apparent load power, (b) Sketch a phasor diagram showing the line currents, the line-to-line source voltages, and the -load currents. Use Vab as the reference.
Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z=ZZ, find expressions for P and Q, from complex power considerations. (b) Express p(t) in terms of P and Q, by choosing i(t)=2Icost. (c) For the case of Z=R+jL+1/jC, interpret the result of part (b) in terms of P,QL, and Qc. In particular, if 2LC=1, when the inductive and capacitive reactances cancel, comment on what happens.
Suppose that a current source with Is amperes of current is connected in parallel to a pair of impedances Z₁ and Z2. Let I₁ be the current through Z₁ and 12 be the current through Z₂. Then, the total voltage Is is divided between 1₁ and 12 in proportion to impedance values Z₁ and Z2. a. True O b. False
2. A single-phase are distributor AB is fed from end A and has a total impedance of (0.3-0.3) ohm. At the far end, the voltage V-240V and the current is 100A at a p.f. of 0, 8 lagging. At the mid-point M. a current of 100 A is tapped at a p... of 0.6 lagging with reference to the voltage V_{M} at the midi-point. Calculate the supply voltage V Lambda j sending current I_{N} and the phase angle between V_{A} and V_{E}
Figure Q2(a) shows a positive sequence three phase circuits. Given a line-to-line voltage at generator, ERY = 415230°V. With assumption that all load impedance are balanced, Zn=Zyb=Zbr= 15 + jl8 2, determine all phase currents at each load and line currents. Include the phasor diagram for all currents in your analysis. R Zry Zyt Figure Q2(a) If the transmission line in three phase circuit at Figure Q2(a) has a impedance of 1+j20 for each phase, determine the phase voltages for each load with using an appropriate analysis. Use phase voltage at generator, ERN as a reference. Then determine the total apparent power, active power and reactive power supplied by the generator.
(b) A symmetrical delta-connected 415V three-phase supply is feed to an asymmetrical delta- connected load as shown in Figure Q2(b). Assume that it is a RYB sequence. The impedances of the load are ZrY = 50 + j50 N , ZYB = 150 + j0 N and ZBr = 50 –j50 N. jos (i) Determine and draw the phasor diagram of phase currents in the load. (ii) Determine and draw the phasor diagram of line currents in the system.
Draw a 3-phase wye-connected generator with transmission lines connected to a 3-phase delta-connected load. Assume the lines connecting them have an inductance of j5 per phase. The generated voltages are 120 Vrms with phase 'a' having a phase angle of 0°. The loads are 10 Ohm resistors per phase. When drawing, make sure to label all 3 phases with voltage phasors, line inductances, and load resistances.
1. Calculate the line currents for phase a, b and c.2. Calculate the line-to-neutral voltages at the load for phase a, b and c.3. Draw the phasor diagram of the source line-to-neutral voltages and line currents.
A balanced positive-sequence three-phase source hasvan(t)=100 cos(377t+90°) V a. Find the frequency of this source in Hz. b. Give expressions for vbn(t) and vcn(t) c. Repeat part (b) for a negative-sequence source.
Example: A balanced positive-sequence wye-connected 60 Hz three-phase source has line-to- line voltages of V,=1000 V. This source is connected to a balanced wye-connected load. Each phase of the load consists of a 0.2 H inductance in series with a 100 0 resistance. Find the line-to-neutral voltages, the line currents, the power, and the reactive power delivered to the load. Assume that the phase of Van is zero.
2) A 30- resistor, a 15-0 inductive reactance, and a 12- capacitive reactance are connected in parallel across a 120-V 60-Hz line. Find (a) the phasor branch currents, (b) total current and phase angle, (c) impedance, and (d) power drawn by the circuit.
A single-phase a.c. distrībutor AB is fed from end A and has a total impedance of (0-2+j03) ohm. Atthe far end, the voltage V = 240 V and the current is 100 A at a p.f. of 0-8 lagging. At the mid-point M, a current of 100 A is tapped at a p.f of 06 lagging with reference to the voltage Vy at the mid-point. Calculate the supply voltage V, and phase angle between V, and Vg- [292 V, 2-6°)