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Question 2: Steady-State Analysis Given the circuit below which include a linear transformer model. Rp : : R. X; Ex, |Z. = R, + jX, Source Transformer Transmission line Load Neglect the compensation reactance X connected in parallel with the load Zz in Tasks a) to d). a) Find the expressions for the two differential equations that show the relationship between V,, I, and IL. In the circuit given in figure, the following parameters are given R, = 51, X, = 100, R, = 102, X, = 20n, XM = 50, Ry = 60, Xr 80 I %3D Vs = 220eV, f = 50HZ b) For the circuit shown in above, determine the load impedance ZL that results in maximum average power transferred to the load. c) Calculate the currents I, and IL. Use the impedance ZL obtained in b). (If you are not able to find the value of Zg in task b), use ZL = 17N - j26N,.] d) Find the load power and load power factor. e) Use the parallel compensation reactance as shown in figure above. Find the value of the reactance that make the load power factor to unity.

Question 2: Steady-State Analysis Given the circuit below which include a linear transformer model. Rp : : R. X; Ex, |Z. = R, + jX, Source Transformer Transmission line Load Neglect the compensation reactance X connected in parallel with the load Zz in Tasks a) to d). a) Find the expressions for the two differential equations that show the relationship between V,, I, and IL. In the circuit given in figure, the following parameters are given R, = 51, X, = 100, R, = 102, X, = 20n, XM = 50, Ry = 60, Xr 80 I %3D Vs = 220eV, f = 50HZ b) For the circuit shown in above, determine the load impedance ZL that results in maximum average power transferred to the load. c) Calculate the currents I, and IL. Use the impedance ZL obtained in b). (If you are not able to find the value of Zg in task b), use ZL = 17N - j26N,.] d) Find the load power and load power factor. e) Use the parallel compensation reactance as shown in figure above. Find the value of the reactance that make the load power factor to unity.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question 2: Steady-State Analysis Given the circuit below which include a linear transformer model. XM Rp Rs R; X, |Z. = R, + jX, Source Transformer Transmission line Load Neglect the compensation reactance X connected in parallel with the load ZL in Tasks a) to d). a) Find the expressions for the two differential equations that show the relationship between V,,I, and IL. In the circuit given in figure, the following parameters are given R, = 50, X, = 10n, R, = 102, X, = 202, XM = 50, Rr = 6N, XT = 80 %3D %3D Vs = 220e0v, f = 50HZ b) For the circuit shown in above, determine the load impedance ZL that results in maximum average power transferred to the load. c) Calculate the currents I, and IL. Use the impedance ZL obtained in b). [If you are not able to find the value of 2ZL in task b), use ZL = 170 – j26.] %3D d) Find the load power and load power factor. e) Use the parallel compensation reactance as shown in figure above. Find the value of the reactance that make the load power factor to unity.
Transcribed Image Text:Question 2: Steady-State Analysis Given the circuit below which include a linear transformer model. XM Rp Rs R; X, |Z. = R, + jX, Source Transformer Transmission line Load Neglect the compensation reactance X connected in parallel with the load ZL in Tasks a) to d). a) Find the expressions for the two differential equations that show the relationship between V,,I, and IL. In the circuit given in figure, the following parameters are given R, = 50, X, = 10n, R, = 102, X, = 202, XM = 50, Rr = 6N, XT = 80 %3D %3D Vs = 220e0v, f = 50HZ b) For the circuit shown in above, determine the load impedance ZL that results in maximum average power transferred to the load. c) Calculate the currents I, and IL. Use the impedance ZL obtained in b). [If you are not able to find the value of 2ZL in task b), use ZL = 170 – j26.] %3D d) Find the load power and load power factor. e) Use the parallel compensation reactance as shown in figure above. Find the value of the reactance that make the load power factor to unity.
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