Materials Science And Engineering
Materials Science And Engineering
10th Edition
ISBN: 9781119405498
Author: Callister, William D., Jr, RETHWISCH, David G., Jr., 1940- Author.
Publisher: Wiley,
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Chapter 4, Problem 25QAP
To determine

Whether the given computation is possible or not by using the expression: N1=NAC1C1A1ρ1+A1ρ2100C1

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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…
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