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MindTap Engineering for Glover/Overbye/Sarma's Power System Analysis and Design, 6th Edition, [Instant Access], 1 term (6 months)
6th Edition
ISBN: 9781305636309
Author: J. Duncan Glover; Thomas Overbye; Mulukutla S. Sarma
Publisher: Cengage Learning US
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Textbook Question
Chapter 2, Problem 2.3MCQ
If a phasor representation of a current is given by
a.
b.
c.
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In the circuit shown, let Vs-9, R₁-8, R2-2, and R3-4. Use Nodal analysis to determine the current lo. In
particular find:
V2=
10=
A
The relative tolerance for this problem is 5 %.
R₁
V₁
+
ww
R₂
Vs
V₂
21
x
R3
1. Choose all nodes that must be included, if any, to construct the supernode for Nodal analysis.
OV1, V3
OV1, V2
○ V2, V3
OV1, V2, V4
OV1, V2, V3
O V2, V3, V4
2. Write KCL equation (Nodal equation) at super-node. Write your expression in terms of node voltages
V1, V2, V3 and V4 and of the form (G11 V1+G12 V2+G13 V3+G14 V4 = 11), then
enter the corresponding values:
At super-node KCL:
1/Q
G11
1/0
G12
1/Ω
G13
1/Q
G14
A
3. Use the above equation, the circuit and and super-node inner expression to calculate V3 and then lo :
V3=
V
10 =
R3
Vst
+
A
V₁
+
VS2
V₂
V3
w
W
R₁
R₂
R4
ww
R5
V4
V$3
Enter the matrix values (numerical) to solve for voltages at nodes v1, and v2, for the circuit shown, using
Nodal equations. In the matrix, row 1, and row 2, correspond to node v1, and node v2 current
expressions, respectively. Let Is1=14, Is2=7, R₁=5, R₂-8, R3=2, and R4-5.
[G11 G12] [Vi₁
The matrix values are shown here:
=
G21 G22 [V2]
[41]
[12]
{Hint: As discussed in class and to avoid sign errors, assume nodal currents are locally defined at each
node (leaving) and use node labeling as indicated in the circuit. }
The relative tolerance for this problem is 5%.
VI
R2
ww
Isl
12
NODE v1
G11
G12
RI
1/Q
1/0
A
4=
NODE v2
G21-
1/Q
G22
1/0
12
W
A
===
www
R3
R4
www
Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages:
v1 =
V
v2=
V
Is2
Chapter 2 Solutions
MindTap Engineering for Glover/Overbye/Sarma's Power System Analysis and Design, 6th Edition, [Instant Access], 1 term (6 months)
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. 2.4MCQCh. 2 - Prob. 2.5MCQCh. 2 - Prob. 2.6MCQCh. 2 - Prob. 2.7MCQCh. 2 - Prob. 2.8MCQCh. 2 - Prob. 2.9MCQCh. 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. 2.13MCQCh. 2 - The instantaneous power absorbed by the load in a...Ch. 2 - Prob. 2.15MCQCh. 2 - With generator conyention, where the current...Ch. 2 - Consider the load convention that is used for the...Ch. 2 - Prob. 2.18MCQCh. 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. 2.11PCh. 2 - The voltage v(t)=359.3cos(t)volts is applied to a...Ch. 2 - Prob. 2.13PCh. 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. 2.29PCh. 2 - Figure 2.26 shows three loads connected in...Ch. 2 - Consider two interconnected voltage sources...Ch. 2 - Prob. 2.35PCh. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - A balanced three-phase 240-V source supplies a...Ch. 2 - Prob. 2.41PCh. 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. 2.48PCh. 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. CCSQCh. 2 - Prob. DCSQ
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- Only expert should attemptarrow_forwardFor the circuit shown below, let l₁ = 9, 1₂ = 14, 13= 12, R₁ = 3, R₂ = 8, and R3 = 5. Use nodal equations to determine V1, V2 and I, as follows: • Consider Node 1, obtain a nodal equation in terms of V₁ and V₂ voltages. Simplify your equation to the format 1V1 + b,V₂ = c, then enter the corresponding values of coefficients b₁ and c₁ 1. b₁ =( C₁ = • Now consider Node 2, obtain a second nodal equation in terms of V₁ and V2 voltages. Simplify your equation to the format -1V₁+b2V2=c2 then enter the corresponding values of coefficients b₂ and c₂ 2. (b₂ = value.) ,၄၇ = - 3. Use (1) and (2) to determine V₂ = 4. Determine V₁ 5. Determine | = i 12 V₁ R1 20 www R2 ww I The relative tolerance for this problem is 5%. R3 This is not a decimal or integer www i3arrow_forwardFor the circuit shown, let V1 = 19 V, Vs2 = 76 V, R₁ = 9, R2 = 9, and R3 = 7. Use Nodal analysis to determine the voltage V2 and the current lo, choose the closet values: V2- 4.788 10 = ○ 2.28 11.978 17.761 35.522 23.957 -9.146 8.32 10.173 A O-7.435 O-5.783 10.531 V sl ་ ་ ་ ན ་་་ ་ ་ ་ ་ ་ ་ ་ ་ +1 ww R₁ R₂ ww R3 Io +1 VS2arrow_forward
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