Explanation Given: Value of S i j = S j i ∗ Calculation: The circuit diagram is redrawn as shown in Figure 1. Complex power balance satisfies at each bus. Write the KCL equation at bus 1 . S G 1 − S D 1 − S 13 − ( 0.4 + j 0.2 ) = 0 ...... (1) Here, S G 1 is complex power entering bus 1 , S D 1 and S 13 are the complex powers leaving the bus 1 . Substitute 1 + j 1 for S G 1 and 1 − j 1 for S D 1 in equation (1). 1 + j 1 − ( 1 − j 1 ) − S 13 − ( 0.4 + j 0.2 ) = 0 1 + j 1 − 1 + j 1 − S 13 − ( 0.4 + j 0.2 ) = 0 − 0.4 + j 1.8 − S 13 = 0 Rearrange for S 13 . S 13 = − 0.4 + j 1.8 Substitute S 13 for S j i and S 31 for S i j in given function. S 31 = S 13 ∗ Substitute − 0.4 + j 1.8 for S 13 in above equation. S 31 = ( − 0.4 + j 1.8 ) ∗ = − 0.4 − j 1.8 Write the KCL equation at bus 2 . S G 2 − S D 2 − S 23 − ( − 0.4 + j 0.2 ) = 0 ...... (2) Here, S G 2 is complex power entering bus 2 , S D 2 and S 23 are the complex powers leaving the bus 2 . Substitute 0.5 + j 0.5 for S G 2 and 1 + j 1 for S D 2 in equation (2). 0.5 + j 0.5 − ( 1 + j 1 ) − S 23 − ( − 0

MindTap Engineering, 1 term (6 months) Printed Access Card for Glover/Overbye/Sarma's Power System Analysis and Design, 6th

6th Edition

ISBN: 9781305636323

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

Publisher: Cengage Learning

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Question

Chapter 2, Problem 2.29P

To determine

The value of complex power S13, S31, S23, S32 and SG3.

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Chapter 2 Solutions

MindTap Engineering, 1 term (6 months) Printed Access Card for Glover/Overbye/Sarma's Power System Analysis and Design, 6th

Ch. 2 - The rms value of v(t)=Vmaxcos(t+) is given by a....Ch. 2 - If the rms phasor of a voltage is given by V=12060...Ch. 2 - If a phasor representation of a current is given...Ch. 2 - Prob. 2.4MCQ Ch. 2 - Prob. 2.5MCQ Ch. 2 - Prob. 2.6MCQ Ch. 2 - Prob. 2.7MCQ Ch. 2 - Prob. 2.8MCQ Ch. 2 - Prob. 2.9MCQ Ch. 2 - The average value of a double-frequency sinusoid,...

Ch. 2 - The power factor for an inductive circuit (R-L...Ch. 2 - The power factor for a capacitive circuit (R-C...Ch. 2 - Prob. 2.13MCQ Ch. 2 - The instantaneous power absorbed by the load in a...Ch. 2 - Prob. 2.15MCQ Ch. 2 - With generator conyention, where the current...Ch. 2 - Consider the load convention that is used for the...Ch. 2 - Prob. 2.18MCQ Ch. 2 - The admittance of the impedance j12 is given by...Ch. 2 - Consider Figure 2.9 of the text, Let the nodal...Ch. 2 - The three-phase source line-to-neutral voltages...Ch. 2 - In a balanced three-phase Y-connected system with...Ch. 2 - In a balanced system, the phasor sum of the...Ch. 2 - Consider a three-phase Y-connected source feeding...Ch. 2 - For a balanced- load supplied by a balanced...Ch. 2 - A balanced -load can be converted to an...Ch. 2 - When working with balanced three-phase circuits,...Ch. 2 - The total instantaneous power delivered by a...Ch. 2 - The total instantaneous power absorbed by a...Ch. 2 - Under balanced operating conditions, consider the...Ch. 2 - One advantage of balanced three-phase systems over...Ch. 2 - While the instantaneous electric power delivered...Ch. 2 - Given the complex numbers A1=630 and A2=4+j5, (a)...Ch. 2 - Convert the following instantaneous currents to...Ch. 2 - The instantaneous voltage across a circuit element...Ch. 2 - For the single-phase circuit shown in Figure...Ch. 2 - A 60Hz, single-phase source with V=27730 volts is...Ch. 2 - (a) Transform v(t)=75cos(377t15) to phasor form....Ch. 2 - Let a 100V sinusoidal source be connected to a...Ch. 2 - Consider the circuit shown in Figure 2.23 in time...Ch. 2 - For the circuit shown in Figure 2.24, compute the...Ch. 2 - For the circuit element of Problem 2.3, calculate...Ch. 2 - Prob. 2.11P Ch. 2 - The voltage v(t)=359.3cos(t)volts is applied to a...Ch. 2 - Prob. 2.13P Ch. 2 - A single-phase source is applied to a...Ch. 2 - Let a voltage source v(t)=4cos(t+60) be connected...Ch. 2 - A single-phase, 120V(rms),60Hz source supplies...Ch. 2 - Consider a load impedance of Z=jwL connected to a...Ch. 2 - Let a series RLC network be connected to a source...Ch. 2 - Consider a single-phase load with an applied...Ch. 2 - A circuit consists of two impedances, Z1=2030 and...Ch. 2 - An industrial plant consisting primarily of...Ch. 2 - The real power delivered by a source to two...Ch. 2 - A single-phase source has a terminal voltage...Ch. 2 - A source supplies power to the following three...Ch. 2 - Consider the series RLC circuit of Problem 2.7 and...Ch. 2 - A small manufacturing plant is located 2 km down a...Ch. 2 - An industrial load consisting of a bank of...Ch. 2 - Three loads are connected in parallel across a...Ch. 2 - Prob. 2.29P Ch. 2 - Figure 2.26 shows three loads connected in...Ch. 2 - Consider two interconnected voltage sources...Ch. 2 - Prob. 2.35P Ch. 2 - Prob. 2.36P Ch. 2 - Prob. 2.37P Ch. 2 - Prob. 2.38P Ch. 2 - Prob. 2.39P Ch. 2 - A balanced three-phase 240-V source supplies a...Ch. 2 - Prob. 2.41P Ch. 2 - A balanced -connected impedance load with (12+j9)...Ch. 2 - A three-phase line, which has an impedance of...Ch. 2 - Two balanced three-phase loads that are connected...Ch. 2 - Two balanced Y-connected loads, one drawing 10 kW...Ch. 2 - Three identical impedances Z=3030 are connected in...Ch. 2 - Two three-phase generators supply a three-phase...Ch. 2 - Prob. 2.48P Ch. 2 - Figure 2.33 gives the general -Y transformation....Ch. 2 - Consider the balanced three-phase system shown in...Ch. 2 - A three-phase line with an impedance of...Ch. 2 - A balanced three-phase load is connected to a...Ch. 2 - What is a microgrid?Ch. 2 - What are the benefits of microgrids?Ch. 2 - Prob. CCSQ Ch. 2 - Prob. DCSQ

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The value of complex power S 13 , S 31 , S 23 , S 32 and S G 3 .

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The value of complex power S13, S31, S23, S32 and SG3.

Chapter 2 Solutions