1 of 39

SMJE 1103 �Electrical Power System

3- Ph Power Apparatus

2 of 39

References & Circuit Simulator

Can be downloaded from;

  1. http://elearning.utm.my/22232/
  2. https://people.utm.my/rasli1/

Circuit simulator: Matlab

3 of 39

Observation

  • [1]p405 – p431
  • [9]p23 – p62
  • [4]p643 – p675
  • [16]p41 – p86
  • [6]p90 – p157
  • [5]p64 – p77

4 of 39

Power Apparatus

  • Transmission Lines
  • Transformers
  • Circuit Breaker
  • Switchgear
  • Rotating Machines (Generator – Motor)

5 of 39

Transformer

  • Introduction to power TX
  • Connection Types and symbol
  • Functionality
  • Application
  • Structure
  • Material
  • Equivalent Circuit
  • Testing
  • 3-Phase Tx
  • Per-Unit System

6 of 39

Transformer

  1. Step up
  2. Step down
  3. Distribution Tx
  4. Special purpose (PT, CT)

7 of 39

Transformer�-Connection Types and Symbol

8 of 39

Transformer�-Connection Types and Symbol

9 of 39

Transformer�-Application-

10 of 39

Application

11 of 39

Equivalent Circuit

12 of 39

Equivalent Circuit (simplified)

13 of 39

Equivalent Circuit (simplified)

14 of 39

Problems/Examples

Look at the given problems/examples;

-[1]p408, example 24.1

-[1]p409, example 24.4

-[1]p411, example 24.7

-[1]p412, example 24.9

-[9]p23, example 2-1

15 of 39

Problems/Examples

Look at the given problems/examples;

-[1]p408, example 24.2

-[1]p410, example 24.5

-[1]p412, example 24.8

-[9]p28, example 2-4

16 of 39

Problem 10

  1. If the power system is exactly as described above in Figure (a), what will the voltage at the load be? What will the transmission line losses be?

(b) Suppose a 1:10 step-up transformer is placed at the generator end of the transmission line and a 10:1 step-down transformer is placed at the load end of the line (Figure (b)). What will the load voltage be now? What will the transmission line losses be now?

17 of 39

Problem 11

18 of 39

Some Important Points on�Equivalent Circuit

  • Flux Density
  • Efficiency
  • Voltage Regulation
  • Primary and Secondary Windings
  • Transmission Line Loss
  • Load Impedance
  • Circuit referred to primary
  • Secondary voltage
  • Input voltage
  • Power of P
  • Power of Q
  • Primary and secondary current

Please, observe these parameters by comparing difference type of transformer (step up and step down) and give your comment on it.

19 of 39

Quiz 15

  • Refer to [16] p82, PROBLEMS 2.1
  • Refer to [16] p82, PROBLEMS 2.4

20 of 39

Testing

To know the value of the inductance and resistance

21 of 39

Short circuit test

Power factor, PF = cos θ = PSC / VSC ISC (lagging)

The series impedance ZSE = Req + jXeq

= (RP + a2 RS) + j(XP + a2 XS)

22 of 39

Open circuit test

Conductance of core loss

Susceptance of magnetizing

Total admittance

Admittance referred to primary

Angle of admittance

23 of 39

Impulse voltage test

24 of 39

Problems/Examples

Look at the given problems/examples;

-[9]p35, example 2-7

-[4]p666, example 32.8

-[1]p424, example 24.28

25 of 39

Problems/Examples

Look at the given problems/examples;

-[9]p26, example 2-3

-[6]p105, example 3.2

-[4]p662, example 32.6

26 of 39

Problem

Open circuit test (primary)

Short circuit test

VOC = 8000 V

VSC = 489 V

IOC = 0.214 A

ISC = 2.5 A

POC = 400 W

PSC = 240 W

The equivalent circuit impedances of a 20kVA, 8000/240V, 50Hz transformer are to be determined. The open circuit test and the short circuit test were performed on the primary side of the transformer, and the following data were taken:

Find the impedance of the approximate equivalent circuit referred to the primary side, and sketch the circuit.

27 of 39

Some Important Points on�Testing

  • Circuit referred to primary
  • Efficiency
  • Voltage Regulation
  • Circuit referred to secondary
  • Equivalent admittance

  • Primary voltage
  • Secondary voltage
  • Power of Q
  • Primary and secondary current
  • Equivalent impedance

Please, observe these parameters by comparing difference type of transformer (step up and step down) and give your comment on it.

28 of 39

Quiz 16

  • Refer to [16] p83, PROBLEMS 2.8
  • Refer to [16] p83, PROBLEMS 2.9

29 of 39

3-Phase Transformer

Transformers for 3-phase circuits can be constructed in two ways:

connect 3 single phase transformers

Three sets of windings wrapped around a common core

The primaries and secondaries of any three-phase transformer can be independently connected in either a wye (Y) or a delta (∆)

The important point to note when analyzing any 3-phase transformer is to look at a single transformer.

The impedance, voltage regulation, efficiency, and similar calculations for three phase transformers are done on a per-phase basis.

30 of 39

Circuit Configuration

Three-phase two winding Y-Y transformer bank

31 of 39

Circuit Configuration

Three-phase two winding Y- ∆ transformer bank

32 of 39

Problems/Examples

Look at the given problems/examples;

-[1]p426, example 24.33

-[4]p668, example 32.9

33 of 39

Some Important Points on�Three-Phase

  • Primary winding
  • Secondary winding
  • Phase and line voltages
  • Phase and line current

  • Load voltage
  • Output voltage
  • Power of Q

Please, observe these parameters by comparing difference type of transformer connection (Delta and Star) and give your comment on it.

34 of 39

Quiz 17

  • Refer to [16] p83, PROBLEMS 2.11

35 of 39

Transformer�(Per-Unit System)

  • To express the power system quantities in percent of specified base values.
  • Reason – the quantities do not change when the are referred from one side to the others.
  • Obvious solving when involving hundreds of transformers going to be encountered.

36 of 39

Problems/Examples

Look at the given problems/examples;

-[6]p110, example 3.3

-[6]p115, example 3.5

-[6]p123, example 3.7

-[6]p128, example 3.9

-[5]p94, example 3.8

37 of 39

Some Important Points on�Per-Unit System

  • PU leakage impedance
  • Load current in PU
  • PU current and actual
  • Negative-sequence phase shift

  • Impedance diagram
  • Generator voltage
  • Generator internal emf
  • Motor internal emf

Please, observe these parameters by comparing difference value of load power factor and give your comment on it.

38 of 39

Quiz 18

Please refer to [9]p30, example 2-2. Solve the given problem but now the transformer ratio will be changed to 480/8000 V.

39 of 39

The End�-Thanks-