MICROLEECTRONIC E BOOKS
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ISBN: 9780190853532
Author: SEDRA
Publisher: OXF
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Chapter 1, Problem 1.20P
To determine
The expression of
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b)
A 132 kV supply feeds a line of reactance 15 which is connected to a 100
MVA, 132/33 kV transformer of 0.08 p.u. reactance as shown in the
Figure 2. The transformer feeds a 33 kV line of reactance 8 Q, which, in
turn, is connected to a 75 MVA, 33/11 KV transformer of 0.12 p.u.
reactance. The transformer supplies an 11 KV substation from which a local
11 kV feeder of 4 Q reactance is supplied.
T1
T2
132 kV
33 kV
11 kV
Fault
X
CB
Relay
Figure 2. Network for Q4 b).
(i) Given the system base of 100 MVA, compute the total equivalent
reactance of the radial circuit in per unit (p.u.).
(ii) Determine the three-phase fault current at the load end of the 11 kV
feeder, assuming a fault impedance of 0.05 Q. Calculate the fault
current in Amperes.
(iii) The 11 kV feeder connects to a protective overcurrent relay via 200/5 A
current transformers. This relay has a standard normally inverse IDMT
characteristic, with a setting current of 3 A and a time multiplier setting
of 0.4. Calculate the…
Q2.
a) Two three-phase transformers, designated A and B, have the following
secondary equivalent circuit parameters per phase:
R₁ = 0.002 Q, XA = 0.03 Q, RB = 0.004 Q, X = 0.012 Q
Transformer A is 250 kVA and transformer B is 450 kVA. Calculate how
they share a load of 650 KVA when connected in parallel (assume the
voltage ratios are equal)
b) A step-up transformer is being specified for the beginning of a 3-phase, 4
wire high voltage transmission line. Discuss your recommendation for the
configuration of the transformer connections on both the primary and
secondary side of the transformer.
c)
Define power system protection and describe its fundamental purpose.
Discuss the following key concepts including discrimination, stability,
speed of operation, sensitivity, and reliability in the context of the power
system protection components and schemes.
Q3.
a) Given the unsymmetrical phasors for a three-phase system, they can be
represented in terms of their symmetrical components as follows:
[Fa]
[1 1
Fb = 1 a²
[Fc.
11[Fao]
a Fai
1 a a2F a2-
where F stands for any three-phase quantity. Conversely, the sequence
components can be derived from the unsymmetrical phasors as:
[11 1] [Fal
Faol
Fa1 =
1 a a² F
1 a²
a
a2.
Given the unbalanced three-phase voltages:
V₁ = 120/10° V, V₂ = 200/110° V, V = 240/200° V
Calculate in polar form the sequence components of the voltage.
Chapter 1 Solutions
MICROLEECTRONIC E BOOKS
Ch. 1.1 - Prob. 1.1ECh. 1.1 - Prob. 1.2ECh. 1.1 - Prob. 1.3ECh. 1.1 - Prob. 1.4ECh. 1.2 - Prob. 1.5ECh. 1.2 - Prob. 1.6ECh. 1.2 - Prob. 1.7ECh. 1.2 - Prob. 1.8ECh. 1.3 - Prob. 1.9ECh. 1.4 - Prob. 1.10E
Ch. 1.4 - Prob. 1.11ECh. 1.5 - Prob. 1.12ECh. 1.5 - Prob. 1.13ECh. 1.5 - Prob. 1.14ECh. 1.5 - Prob. 1.15ECh. 1.5 - Prob. 1.16ECh. 1.5 - Prob. 1.17ECh. 1.5 - Prob. 1.18ECh. 1.5 - Prob. 1.19ECh. 1.5 - Prob. 1.20ECh. 1.5 - Prob. 1.21ECh. 1.6 - Prob. 1.22ECh. 1.6 - Prob. D1.23ECh. 1.6 - Prob. D1.24ECh. 1 - Prob. 1.1PCh. 1 - Prob. 1.2PCh. 1 - Prob. 1.3PCh. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - Prob. 1.7PCh. 1 - Prob. D1.8PCh. 1 - Prob. D1.9PCh. 1 - Prob. 1.10PCh. 1 - Prob. 1.11PCh. 1 - Prob. D1.12PCh. 1 - Prob. D1.13PCh. 1 - Prob. D1.14PCh. 1 - Prob. 1.15PCh. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Prob. 1.21PCh. 1 - Prob. 1.22PCh. 1 - Prob. 1.23PCh. 1 - Prob. 1.24PCh. 1 - Prob. 1.25PCh. 1 - Prob. 1.26PCh. 1 - Prob. 1.27PCh. 1 - Prob. 1.28PCh. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 1 - Prob. 1.31PCh. 1 - Prob. 1.32PCh. 1 - Prob. 1.33PCh. 1 - Prob. 1.34PCh. 1 - Prob. 1.35PCh. 1 - Prob. 1.36PCh. 1 - Prob. 1.37PCh. 1 - Prob. 1.38PCh. 1 - Prob. 1.39PCh. 1 - Prob. 1.40PCh. 1 - Prob. 1.41PCh. 1 - Prob. 1.42PCh. 1 - Prob. 1.43PCh. 1 - Prob. 1.44PCh. 1 - Prob. 1.45PCh. 1 - Prob. 1.46PCh. 1 - Prob. 1.47PCh. 1 - Prob. 1.48PCh. 1 - Prob. 1.49PCh. 1 - Prob. 1.50PCh. 1 - Prob. 1.51PCh. 1 - Prob. 1.52PCh. 1 - Prob. 1.53PCh. 1 - Prob. D1.54PCh. 1 - Prob. D1.55PCh. 1 - Prob. D1.56PCh. 1 - Prob. D1.57PCh. 1 - Prob. 1.58PCh. 1 - Prob. 1.59PCh. 1 - Prob. 1.60PCh. 1 - Prob. D1.61PCh. 1 - Prob. 1.62PCh. 1 - Prob. D1.63PCh. 1 - Prob. D1.64PCh. 1 - Prob. 1.65PCh. 1 - Prob. 1.66PCh. 1 - Prob. 1.67PCh. 1 - Prob. 1.68PCh. 1 - Prob. 1.69PCh. 1 - Prob. 1.70PCh. 1 - Prob. 1.71PCh. 1 - Prob. D1.72PCh. 1 - Prob. 1.75PCh. 1 - Prob. 1.76PCh. 1 - Prob. D1.77PCh. 1 - Prob. D1.78PCh. 1 - Prob. 1.79PCh. 1 - Prob. 1.80PCh. 1 - Prob. D1.81PCh. 1 - Prob. 1.82PCh. 1 - Prob. 1.83P
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