Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 4, Problem 4.16P
To determine
To prove:
The bundle GMR is given by
and
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The memory map of a 8 kB memory chip begins at the location E000H. The last location of the
memory address.
The question was to obtain the Fourier series for the periodic function f(x)= -2 when -π
Consider the homogeneous RLC circuit (no voltage source) shown in the diagram below. Before
the switch is closed, the capacitor has an initial charge go and the circuit has an initial current go.
R
w
i(t)
q(t)
C
н
After the switches closes, current flows through the circuit and the capacitor begins to discharge.
The equation that describes the total voltage in the loop comes from Kirchoff's voltage law:
di(t)
L
+ Ri(t) + (t) = 0,
dt
(1)
where i(t) and q(t) are the current and capacitor charge as a function of time, L is the inductance,
R is the resistance, and C is the capacitance. Using the fact that the current equals the rate of
change of the capacitor charge, and dividing by L, we can write the following homogeneous (no
input source) differential equation for the charge on the capacitor:
ä(t)+2ag(t)+wg(t) = 0,
(2)
where
R
a
2L
and w₁ = C
LC
The solution to this second order linear differential equation can be written as:
where
81=
q(t) = Ae³¹- Bel
82 =
(3)
(4)
(5)
Chapter 4 Solutions
Power System Analysis and Design (MindTap Course List)
Ch. 4 - ACSR stands for Aluminum-clad steel conductor...Ch. 4 - Overhead transmission-line conductors are bare...Ch. 4 - Alumoweld is an aluminum-clad steel conductor....Ch. 4 - EHV lines often have more than one conductor per...Ch. 4 - Shield wires located above the phase conductors...Ch. 4 - Conductor spacings, types, and sizes do have an...Ch. 4 - A circle with diameter Din.=1000Dmil=dmil has an...Ch. 4 - An ac resistance is higher than a dc resistance....Ch. 4 - Prob. 4.9MCQCh. 4 - Transmission line conductance is usually neglected...
Ch. 4 - Prob. 4.11MCQCh. 4 - Prob. 4.12MCQCh. 4 - For a single-phase, two-wire line consisting of...Ch. 4 - For a three-phase three-wire line consisting of...Ch. 4 - For a balanced three-phase positive-sequence...Ch. 4 - A stranded conductor is an example of a composite...Ch. 4 - lnAk=lnAk True FalseCh. 4 - Prob. 4.18MCQCh. 4 - Expand 6k=13m=12Dkm.Ch. 4 - Prob. 4.20MCQCh. 4 - For a single-phase two-conductor line with...Ch. 4 - In a three-phase line, in order to avoid unequal...Ch. 4 - For a completely transposed three-phase line...Ch. 4 - Prob. 4.24MCQCh. 4 - Does bundling reduce the series reactance of the...Ch. 4 - Does r=e14r=0.788r, which comes in calculation of...Ch. 4 - In terms of line-to-line capacitance, the...Ch. 4 - For either single-phase two-wire line or balanced...Ch. 4 - Prob. 4.29MCQCh. 4 - Prob. 4.30MCQCh. 4 - Prob. 4.31MCQCh. 4 - Prob. 4.32MCQCh. 4 - Prob. 4.33MCQCh. 4 - Prob. 4.34MCQCh. 4 - The affect of the earth plane is to slightly...Ch. 4 - When the electric field strength at a conductor...Ch. 4 - Prob. 4.37MCQCh. 4 - Prob. 4.38MCQCh. 4 - Considering two parallel three-phase circuits that...Ch. 4 - The Aluminum Electrical Conductor Handbook lists a...Ch. 4 - The temperature dependence of resistance is also...Ch. 4 - A transmission-line cable with a length of 2 km...Ch. 4 - One thousand circular mils or 1 kcmil is sometimes...Ch. 4 - A 60-Hz, 765-kV, three-phase overhead transmission...Ch. 4 - A three-phase overhead transmission line is...Ch. 4 - If the per-phase line loss in a 70-km-long...Ch. 4 - A 60-Hz, single-phase two-wire overhead line has...Ch. 4 - Prob. 4.9PCh. 4 - A 60-Hz, three-phase three-wire overhead line has...Ch. 4 - Prob. 4.11PCh. 4 - Find the inductive reactance per mile of a...Ch. 4 - A single-phase overhead transmission line consists...Ch. 4 - Prob. 4.14PCh. 4 - Find the GMR of a stranded conductor consisting of...Ch. 4 - Prob. 4.16PCh. 4 - Determine the GMR of each of the unconventional...Ch. 4 - A 230-kV, 60-Hz, three-phase completely transposed...Ch. 4 - Prob. 4.19PCh. 4 - Calculate the inductive reactance in /km of a...Ch. 4 - Rework Problem 4.20 if the bundled line has (a)...Ch. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - For the overhead line of configuration shown in...Ch. 4 - Prob. 4.26PCh. 4 - Figure 4.34 shows double-circuit conductors'...Ch. 4 - For the case of double-circuit, bundle-conductor...Ch. 4 - Prob. 4.29PCh. 4 - Figure 4.37 shows the conductor configuration of a...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Prob. 4.38PCh. 4 - Calculate the capacitance-to-neutral in F/m and...Ch. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Three ACSR Drake conductors are used for a...Ch. 4 - Consider the line of Problem 4.25. Calculate the...Ch. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - The capacitance of a single-circuit, three-phase...Ch. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Approximately how many physical transmission...Ch. 4 - Prob. BCSQCh. 4 - Prob. CCSQCh. 4 - Prob. DCSQ
Knowledge Booster
Similar questions
- 2. 1. A. Simplify the models in the following block diagrams to open loop models (Y/R = G). U(s) o G₁ ROS G₂ 1-GG G4 X₁ Σ az 51- 515 G6 G₂ 5 G₂ M b₁ b₂ Σ o Y(s) X₁ byarrow_forwardNeed handwritten solution do not use chatgpt or AIarrow_forwardB. Design a 2nd order Band Stop Filter (BSF) with overall gain=10, centre frequency-12kHz, and bandwidth=4KHz. (8 Marks)arrow_forward
- Design a fifth (5th) order HPF with 8 KHz cutoff frequency, and overall gain Av=35.57dB. Calculate the roll-off rate and draw its frequency response.arrow_forwardThe reverse recovery charge and the peak reverse current are QH-500 uC and I-250A respectively. Assume that the softness factor is SF=0.5, estimate (a) The reverse recovery time of the diode trr (b) The rate of fall of the diode current di/dtarrow_forwardQ2: A 208V, Y-connected synchronous motor is drawing 40A at unity power factor from a 208V power system. The field current flowing under these conditions is 2.7A. Its synchronous reactance is 0.82 and its armature resistance is 0.2 2. Assume a linear open-circuit characteristic. 1- Find EA and the torque angle. 2- How much field current would be required to make the motor operate at 0.8 PF lagging. 3- How much field current would be required to make the motor operate at 0.8 PF leading. 4- How much field current would be required to make the motor operate at unity PF.arrow_forward
- 6) For each case find the answer: 2 (a) If q (t) = 2+ + 6 + + 3 Coulombs Find i(t) at t = 4 seconds (b) If i(t) = 4 Amperes If Find q (t) for 25 = ≤6 seconds (c) If w(t) = 5t³ Joules Find p(t) at t = 3 seconds (d) If p(t 2t+3+4 Watts Find w(t) for 1st≤5 secondsarrow_forwardAs we will learn in Chapter 8, to maximize the transfer of power from an input circuit to a load ZL, it is necessary to choose ZL such that it is equal to the complex conjugate of the impedance of the input circuit. For the circuit in Fig. P7.50, such a condition translates into requiring ZL = Zth*. Determine ZL such that it satisfies this condition.arrow_forward7.44 In the circuit of Fig. P7.44, what should the value of L be 104 rad/s so that i(t) is in-phase with u,(t)? at i(t) 50 Ω www Ds(f) z- 25 Ω 4μF L b Figure P7.44 Circuit for Problem 7.44.arrow_forward
- 5) An orbiting satellite has both solar panels and a 48-volt battery on board. The instrumentation package has sent the following data regarding supplied Coulombs vs. minutes for the 48 volt battery on the Satellite Coulombs 3.5 3 25 2 15 05 O 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6 minutes (a) what is the battery current at t=0-5 minute: (6) How much power is the battery supplying at 0.5 Minutes? (c) Between 2 and 3 minutes how much poner does the battery supply? (d) Between 3 and 4 minutes what current is produced by the battery?arrow_forward7.36 Find the input impedance Z of the circuit in Fig. P7.36 at 0 400 rad/s. 502 3 mH ww m Z→ 2 mF b 5025 ww ell Figure P7.36 Circuit for Problem 7.36. 9 mHarrow_forwardAn evening meal is being prepared in a home kitchen containing an electric oven and a microwave oven. The cost for electricity in the home's neighborhood is $0.15 per kilowatt hour. The microwave oven is specified as a 1000 watt unit, while the oven requires 240 volts and uses a current of 30 amperes to cook at 350 degrees Fahrenheit. A frozen meal can be cooked in the microwave oven set on full power in 10 minutes. The same frozen meal cooked in the electric oven set for 350 degrees F takes 40 minutes. (a) How much energy does it take to cook the frozen meal in the microwave at full power and how much does it cost? (b) How much energy does it take to cook the frozen meal in the electric oven at 350 degrees Fahrenheit and how much does it cost?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning
Power System Analysis and Design (MindTap Course ...
Electrical Engineering
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:Cengage Learning