As shown in Figure 1, a synchronous generator and motor are rated 100MVA, 13.8 kV. Xm" = 0.2 per unit, Xg" = 0.15 per unit, and XT = 0.305 per unit. The synchronous generator is operating at 100 MVA, 0.95 p.f. lagging and at 1.05 per unit voltage when a three-phase short circuit occurs at bus 2.Please use the superposition method to calculate the per-unit values of (a) subtransient generator current (Ig"); (b) subtransient motor current (Im"); and (c) subtransient fault current (If). **Figure 1: Schematic Diagram of a Synchronous Generator Model**This diagram represents the equivalent circuit of a synchronous generator. It includes the following components:- **\(E_g''\)** and **\(E_m''\)**: These are the internal generated voltages of the generator. They are depicted as sources on either side of the circuit.- **\(jX_g''\)** and **\(jX_m''\)**: These represent the transient reactances of the generator, denoted by inductive reactance symbols. They show the opposition in the circuit due to the inductance.- **\(jX_T\)**: This is the transfer reactance connecting the two parts of the circuit, indicating the inductance between points 1 and 2.- **Points \(1\) and \(2\)**: They are the junctions where the components meet within the circuit.The labels \(E\) and \(X\) denote voltage and reactance, respectively, with the prime \(''\) indicating their transient nature. The imaginary unit \(j\) signifies that these reactances are part of the reactive component in alternating current systems. This model is used to analyze the behavior of the generator under transient conditions, helping in understanding the stability and performance during dynamic events.

Three phase short circuit occur at bus 2 a) Calculating sub transient generator current Ig…

Answered: jX, (1) 2 3x. iX; E, O E. Figure 1

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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As shown in Figure 1, a synchronous generator and motor are rated 100
MVA, 13.8 kV. X_m" = 0.2 per unit, X_g" = 0.15 per unit, and X_T = 0.305 per unit. The synchronous generator is operating at 100 MVA, 0.95 p.f. lagging and at 1.05 per unit voltage when a three-phase short circuit occurs at bus 2.

Please use the superposition method to calculate the per-unit values of (a) subtransient generator current (I_g"); (b) subtransient motor current (I_m"); and (c) subtransient fault current (I_f).

**Figure 1: Schematic Diagram of a Synchronous Generator Model**

This diagram represents the equivalent circuit of a synchronous generator. It includes the following components:

- **\(E_g''\)** and **\(E_m''\)**: These are the internal generated voltages of the generator. They are depicted as sources on either side of the circuit.

- **\(jX_g''\)** and **\(jX_m''\)**: These represent the transient reactances of the generator, denoted by inductive reactance symbols. They show the opposition in the circuit due to the inductance.

- **\(jX_T\)**: This is the transfer reactance connecting the two parts of the circuit, indicating the inductance between points 1 and 2.

- **Points \(1\) and \(2\)**: They are the junctions where the components meet within the circuit.

The labels \(E\) and \(X\) denote voltage and reactance, respectively, with the prime \(''\) indicating their transient nature. The imaginary unit \(j\) signifies that these reactances are part of the reactive component in alternating current systems. This model is used to analyze the behavior of the generator under transient conditions, helping in understanding the stability and performance during dynamic events.

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