Power System Analysis & Design
6th Edition
ISBN: 9781305636187
Author: Glover, J. Duncan, Overbye, Thomas J. (thomas Jeffrey), Sarma, Mulukutla S.
Publisher: Cengage Learning,
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Chapter 2, Problem 2.37P
To determine
Admittance bus matrix and nodal equation in matrix form.
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5. Sketch the root locus for L(s) =
s+10
using rules 1, 2, and 4. For rule 4, you need to
s(s+6)
find the break-in and break-away points.
S+4
4. Sketch the root locus for L(s) = (s+6) (s+1)2 using rules 1, 2, and 3. For rule 3, you
need to find the value of σ and a for the asymptotes.
From the root-locus, explain why the closed-loop system is always stable for any
choice of the design parameter K in the range 0 < K < ∞o.
2. Consider the following system.
K(s+3) (s+4)
(s+1)(s+2)
Check whether the points below are in the root locus. If the point is in the root locus, then
also find what the corresponding gain K.
i)
ii)
-2+j3
-2+1√ √
Hint: First find L(s). Next, in L(s) replace s with the value of the point and then express
it in polar format r20 using calculator. The point will be in the root locus if and only if
= 180° or odd multiple of 180°. When the point is in the root locus, the
corresponding gain K is obtained as K ==
Chapter 2 Solutions
Power System Analysis & Design
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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- 2. For each of the following transfer functions, G(s) = Y(s)/U(s), find the differential equation relating the input u(t) to the output y(t). (s+2)(s+3) (a) G(s) = (s+1)(s+4) (s²+0.4s+1.04) (s+3) (b) G(s)= (s2+0.2s+1)(s+2)(s+4)arrow_forwardDon't use ai to answer I will report you answerarrow_forward5. A schematic diagram of a motor connected to a load by gears is shown. Both the motor and the load are modeled as rotating masses with viscous damping. Find the transfer functions Øm/Tm and ØL/Tm. bm Jm Tm 0m N₂ N₁ OL но JL b₁arrow_forward
- 3. Find the transfer function X2/F of the mechanical system in Figure. Κι www b₁ M₁ K2 www M2 b2 X2 F b3arrow_forwardS1(t) Es/Ts 0 S3(t) 0 Es/Ts Ts t S2(t) Es/Ts 0 Es/Ts Ts |7|2 S4(t) Es/Ts t Ts t 0 Ts Ts Ts Es/TS 2 1/ Q1(t) 42(t) Ts 1JT 0 t 0 Ts Ts 2 32 FIGURE 7.3 Set of signals and orthonormal functions for Example 7.1. 53(t)=√√Esq₁(t) S4(t)=-√E542(t) t Tsarrow_forward1. For each of the following differential equations, determine the transfer function Y/U. Determine if the transfer function is proper or strictly proper. is not strictly proper, determine the strictly proper part. If it (a) y(3) = -3y(2) - 3y(1) — 2y + u(2) — - (b) y(3)=-3.5y(2) — 3.5y(1) — y +u(3) — 3.5u(2) + 3.5u(¹) + 3uarrow_forward
- .4. Find the transfer function Ø2/T of the mechanical system in Figure. TG K 02 b₁ b₂ b3arrow_forwardMatlab problem: 1) A BFSK signal is transmitted through a channel with AWGN. Generate similar BFSK received signal plots as shown below. (20 pts) BFSK for eb=1 and npower=0.01 with 500 samples BFSK for eb=1 and npower=0.1 with 500 samples 2.5 2.5 2 1.5 1 0.5 0 -0.5 -1 2 1.5 1 0.5 0.5 -1 -1.5 1.5 -1.5 -1 -0.5 0 0.5 1.5 2 2.5 -1.5 -0.5 0 0.5 1 1.5 2 2.5arrow_forwardexample 7.1 question EXAMPLE 7.1Consider the signals s1(t), s2(t), s3(t), and s4(t) shown in Figure 7.3. Using the Gram-Schmidt orthogonalization procedure, determine a set of orthonormal basis functions.Using the waveforms derived and shown in Example 7.1:a) Sketch the simplified block diagram of the transmitter and receiver as shown in figure 7.2b) Estimate the receive voltages for each transmit signal and for each branch in the receiver.arrow_forward
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