2.15. A transformer circuit which accounts for magnetization and core losses is presented in Figure P2-15.V, N3 N2 V22loadFIGURE P2-15Voltage, Vin, is applied to the transformer primary side coil, which consists of a series resistance andinductance, R, and L1. The secondary side coil of the transformer is also modeled as a series resist-ance and inductance, R2 and L2. The magnetization and core losses in the core of the transformerare modeled with Le and R. The impedance diagram for the transformer is created by replacingeach element of the circuit with it's associated impedance. The impedance of each resistance, R, isdenoted as ZRI, and the impedance of each inductance, L, as Z-a. Draw the impedance diagram for the transformer system.b. Draw the block diagram from the impedance diagram.c. From the block diagram compute the system equation relating the input, Vin to the output, /2.

The given circuit is shown below:

Answered: ZIoad R V N N, V2 FIGURE P2-15

Engineering

Electrical Engineering

ZIoad R V N N, V2 FIGURE P2-15

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter3: Power Transformers

Section: Chapter Questions

Problem 3.9P

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Concept explainers

Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).

Question

2.15. A transformer circuit which accounts for magnetization and core losses is presented in Figure P2-15.
V, N3 N2 V2
2load
FIGURE P2-15
Voltage, Vin, is applied to the transformer primary side coil, which consists of a series resistance and
inductance, R, and L1. The secondary side coil of the transformer is also modeled as a series resist-
ance and inductance, R2 and L2. The magnetization and core losses in the core of the transformer
are modeled with Le and R. The impedance diagram for the transformer is created by replacing
each element of the circuit with it's associated impedance. The impedance of each resistance, R, is
denoted as ZRI, and the impedance of each inductance, L, as Z-
a. Draw the impedance diagram for the transformer system.
b. Draw the block diagram from the impedance diagram.
c. From the block diagram compute the system equation relating the input, Vin to the output, /2.

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