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Power System Analysis (EELE 4351)

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1 Power System Analysis (EELE 4351)

2 site.iugaza.edu/emp/ajasser
Assad Abu-Jasser, PhD Electric Power Engineering The Islamic University of Gaza site.iugaza.edu/emp/ajasser

3 Chapter 1 Basic Concepts

4 Single-Phase Circuits Instantaneous, Effective and Phasor

5 Single-Subscript Notation

6 Double-Subscript Notation

7 Power in Single-phase AC Circuits

8 Complex Power and Power Triangle

9 Direction of Power Flow

10 Example 1.1 Two ideal voltage sources designated as machine 1 and 2 are connected as shown. E1=100 V with phase angle of 0o, E2=100 V with phase angle of 30o and Z=0+j5 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

11 Balanced 3-Phase Circuits

12 Balanced 3-Phase Circuits a-Operator

13 Balanced 3-Phase Circuits Line and Phase Voltages

14 Example 1.2 In a balanced three-phase circuit the voltage Vab is with a phase angle of 0o V. Determine all the voltages and the currents in a Y-connected load having ZL=10 Ω and a phase angle of 20o. Assume abc sequence.

15 Delta-Connected Load

16 Per-Phase Equivalent Circuit

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 30o is 4.4 kV 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 75o. Find the line-to-line voltage at the substation bus.

18 Power In Balanced 3-Phase Circuits

19 Per-Unit Quantities

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 30o is 4.4 kV 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 75o. Find the line-to-line voltage at the substation bus. Find the solution by working in per-unit on a base of 4.4 kV, 127 A.

21 Changing Base of Per-Unit Quantities

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 kV, 500 MVA. The base for calculation is 20 kV, 100 MVA. Find X” on the new base.

23 Node Equations

24 The Single-Line or One-line Diagram

25 Impedance and Reactance Diagrams

26 End Of Chapter One


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