1 Power System Analysis EELE 4351 Dr Assad

1 Power System Analysis (EELE 4351) Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

2 Assad Abu-Jasser, Ph. D Electric Power Engineering The Islamic University of Gaza ajasser@iugaza. edu. ps site. iugaza. edu/emp/ajasser Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

3 Chapter 1 Basic Concepts Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

4 Single-Phase Circuits Instantaneous, Effective and Phasor Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

5 Single-Subscript Notation Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

6 Double-Subscript Notation Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

7 Power in Single-phase AC Circuits Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

8 Complex Power and Power Triangle Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

9 Direction of Power Flow Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

10 Example 1. 1 Two ideal voltage sources designated as machine 1 and 2 are connected as shown. E 1=100 V with phase angle of 0 o, E 2=100 V with phase angle of 30 o and Z=0+j 5 Ω, determine (a) whether each machine is generating or consuming real power and the amount, (b) whether each machine is receiving or supplying reactive power and the amount, and (c) the P and Q absorbed by the impedance Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

11 Balanced 3 -Phase Circuits Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

12 Balanced 3 -Phase Circuits a-Operator Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

13 Balanced 3 -Phase Circuits Line and Phase Voltages Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

14 Example 1. 2 In a balanced three-phase circuit the voltage Vab is 173. 2 with a phase angle of 0 o V. Determine all the voltages and the currents in a Yconnected load having ZL=10 Ω and a phase angle of 20 o. Assume abc sequence. Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

15 Delta-Connected Load Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

16 Per-Phase Equivalent Circuit Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

17 Example 1. 3 The terminal voltage of a Y-connected load consisting of three equal impedances of 20 Ω with a phase angle of 30 o is 4. 4 k. V line-to-line. The impedance of each of the three lines connecting the load to a bus at a substation is ZL=1. 4 Ω with a phase angle of 75 o. Find the line-to-line voltage at the substation bus. Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

18 Power In Balanced 3 -Phase Circuits Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

19 Per-Unit Quantities Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

20 Example 1. 4 The terminal voltage of a Y-connected load consisting of three equal impedances of 20 Ω with a phase angle of 30 o is 4. 4 k. V line-to-line. The impedance of each of the three lines connecting the load to a bus at a substation is ZL=1. 4 Ω with a phase angle of 75 o. Find the line-to-line voltage at the substation bus. Find the solution by working in per-unit on a base of 4. 4 k. V, 127 A. Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

21 Changing Base of Per-Unit Quantities Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

22 Example 1. 5 The reactance of a generator designated X” is given as 0. 25 per-unit based on the generator nameplate rating of 18 k. V, 500 MVA. The base for calculation is 20 k. V, 100 MVA. Find X” on the new base. Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

23 Node Equations Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

24 The Single-Line or One-line Diagram Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

25 Impedance and Reactance Diagrams Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)

26 End Of Chapter One Dr. Assad Abu-Jasser, EE Department - IUGaza Power System Analysis (EELE 4351)