MATLAB: An Introduction with Applications
5th Edition
ISBN: 9781118629864
Author: Amos Gilat
Publisher: WILEY
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Chapter 4, Problem 29P
To determine
To display:
The table of values with ratio
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Q4.
a)
Consider a transmission line modelled as a four-terminal network with an
unknown configuration. You are provided with the following measured
parameters at the operating frequency:
Open-circuit voltage ratio: 0.9521°
• Short-circuit impedance: 40+j80
• Open-circuit admittance: -j2 × 10-4 S
Use the four terminal equations and the provided measurements to
mathematically derive the A, B, C, and D parameters of the network and
explain their physical significance. Show your work and formulas used in
the derivation.
Q1.
Consider a single-phase step-down transformer with primary and
secondary turns of 600 and 100 respectively and a primary voltage of
11 kV.
(i) An open circuit test was conducted on the transformer and the primary
current was measured as:
I₁ = 2.20 A
Use these results to calculate the magnetising reactance in the equivalent
circuit (X) given that Rm, representing the core loss, has a value of 21 km.
(ii) The remaining equivalent circuit parameters are as follows:
R₁ = 40, X₁ = 25 N, R₂ = 0.4 N, X₂ = 0.3 N
Draw the complete simplified equivalent circuit, by referring series
components on the primary side to the secondary, giving all component
values.
(iii) The transformer is connected, on its secondary side, to a load of 10
at a power factor of 1. Calculate the voltage across the load.
(iv) Calculate the efficiency of the transformer when operating at the load
given in part (iii).
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…
Chapter 4 Solutions
MATLAB: An Introduction with Applications
Ch. 4 - Prob. 1PCh. 4 - The monthly saving P that has to be deposit in a...Ch. 4 - Prob. 3PCh. 4 - The volume V and the surface area S of a...Ch. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 -
7. A rocket flying straight up measures the...Ch. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - The balance of a loan, B, after n monthly payments...
Ch. 4 - Early explorers often estimated altitude by...Ch. 4 - An isosceles triangle sign is designed to have a...Ch. 4 - 13. A round billboard with radius R — 55 in. is...Ch. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - The intrinsic electrical conductivity a of a...Ch. 4 - Prob. 19PCh. 4 - The net heat exchange by radiation from plate 1...Ch. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - The surface of many airfoils can be described with...Ch. 4 - During a golf match, a certain number of points...Ch. 4 - The dissolution of copper sulfide in aqueous...Ch. 4 - 28. The wind chill temperature, 7WC, is the air...Ch. 4 - Prob. 29P
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- 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.arrow_forwardQ3. 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.arrow_forwardComplete the table of values for this circuit:arrow_forward
- *P2.58. Solve for the node voltages shown in Figure P2.58. - 10 Ω w + 10 Ω 15 Ω w w '+' 5 Ω 20x 1 A Figure P2.58 w V2 502 12Aarrow_forwardAn 18.65 kW, 4-pole, 50 Hz, 3-phase induction motor has friction and windage losses of 2.5% of the output. The full-load slip is 4%. Find for full-load (i) the rotor cu loss (ii) the rotor input power (iii) the output torque.arrow_forwardQ1: Consider the finite state machine logic implementation in Fig. shown below: a. b. Construct the state diagram. Repeat the circuit design using j-k flip flop. C'lk A D 10 Clk Q D 32 Cik O 31 Please solve the question on a sheet of paper by hand and explain everything related to the question step by step.arrow_forward
- Anot ined sove in peaper S PU +96 An 18.65 kW, 4-pole, 50 Hz, 3-phase induction motor has friction and windage losses of 2.5% of the output. The full-load slip is 4 %. Find for full-load (i) the rotor cu loss (ii) the rotor input power (iii) the output torque. 750 1 T el Marrow_forwardAlternator has star-connected,4-pole, 50 Hz as the following data: Flux per pole-0.12 Wb; No. of slot/pole/phase=4; conductor/slot=4; Each coil spans 150° (electrical degree) pitches Find (i) number of turns per phase (ii) distribution factor (iii) pitch factor (iv) no-load phase voltage (v) no-load line voltage.arrow_forwardAlternator has star-connected,4-pole, 50 Hz as the following data: Flux per pole-0.12 Wb; No. of slot/pole/phase=4; conductor/slot=4; Each coil spans 150° (electrical degree) pitches Find (i) number of turns per phase (ii) distribution factor (iii) pitch factor (iv) no-load phase voltage (v) no-load line voltage.arrow_forward
- A) Suppose you were desiging a circuit that required two LEDs for "power on" indication. The power supply voltage is 5 volts, and each LED is rated at 1.6 volts and 20 mA. Calculate the dropping resistor sizes and power ratings: B) After doing this, a co-worker looks at your circuit and suggests a modification. Why not use a single dropping resistor for both LEDs, economizing the number of components necessary? Re-calculate the dropping resistor ratings (resistance and power) for the new design. Include the total power consumed by the circuit and the power delivered by the source.arrow_forwardS A L ined sove in peaper ۳/۱ 16852 Alternator has star-connected,4-pole, 50 Hz as the following data: Flux per pole-0.12 Wb; No. of slot/pole/phase-4; conductor/slot-4; Each coil spans 150° (electrical degree) pitches Find (i) number of turns per phase (ii) distribution factor (iii) pitch factor (iv) no-load phase voltage (v) no-load line voltage. 2ci25 750 r 2.01 ४arrow_forwardA) Complete the table of values for this circuit: B) Draw the schematic include polarityarrow_forward
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