Lectures on Power System Analysis 01 Dr Kassim
![Lectures on Power System Analysis 01 Dr. Kassim Al-Anbarri B. Sc. , M. Sc. Lectures on Power System Analysis 01 Dr. Kassim Al-Anbarri B. Sc. , M. Sc.](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-1.jpg)
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![Modelling of Power System Components � Transformer(single phase, three phase) � Transmission Lines(Over head Modelling of Power System Components � Transformer(single phase, three phase) � Transmission Lines(Over head](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-3.jpg)
![Low voltage(tension) side LV Zone 1 R 1 X 1 High voltage(tension) side HV Low voltage(tension) side LV Zone 1 R 1 X 1 High voltage(tension) side HV](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-4.jpg)
![R=R 1+ R’ 2 X=X 1+ X’ 2 Load Power source Since R<<X, the R=R 1+ R’ 2 X=X 1+ X’ 2 Load Power source Since R<<X, the](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-5.jpg)
![Transmission Line π model L VS Sending end voltage C/2 R C/2 VR Receiving Transmission Line π model L VS Sending end voltage C/2 R C/2 VR Receiving](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-6.jpg)
![L VR=ǀVRǀ∠δR Receiving end voltage VS=ǀVsǀ∠δs Sending end voltage L= Inductance of the line L VR=ǀVRǀ∠δR Receiving end voltage VS=ǀVsǀ∠δs Sending end voltage L= Inductance of the line](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-7.jpg)
![I + E 60 V © alanbarri@uomustanssityah. edu. iq R 12 Ω I + E 60 V © alanbarri@uomustanssityah. edu. iq R 12 Ω](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-8.jpg)
![I + E 0. 5 pu © alanbarri@uomustanssityah. edu. iq R 0. 4 I + E 0. 5 pu © alanbarri@uomustanssityah. edu. iq R 0. 4](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-9.jpg)
![Problem 2. 10 , pp. 83 of Ref[2] A single-phase system shown below has Problem 2. 10 , pp. 83 of Ref[2] A single-phase system shown below has](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-10.jpg)
![1. 2 k. V 120 V 500 V 1. 5 k. V n 1 1. 2 k. V 120 V 500 V 1. 5 k. V n 1](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-11.jpg)
![© alanbarri@uomustanssityah. edu. iq © alanbarri@uomustanssityah. edu. iq](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-12.jpg)
![500 V 1. 5 k. V n 1 n 2 1 3 Zone 500 V 1. 5 k. V n 1 n 2 1 3 Zone](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-13.jpg)
![1. 2 k. V 120 V n 1 n 2 10 1 Zone 1. 2 k. V 120 V n 1 n 2 10 1 Zone](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-14.jpg)
![500 V 1. 5 k. V ZLine n 1 n 2 0. 5+j 500 V 1. 5 k. V ZLine n 1 n 2 0. 5+j](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-15.jpg)
![© alanbarri@uomustanssityah. edu. iq © alanbarri@uomustanssityah. edu. iq](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-16.jpg)
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![© alanbarri@uomustanssityah. edu. iq © alanbarri@uomustanssityah. edu. iq](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-18.jpg)
![1. 2 k. V 120 V 500 V 1. 5 k. V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-19.jpg)
![1. 2 k. V 120 V 500 V 1. 5 k. V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-20.jpg)
![1. 2 k. V 120 V 500 V 1. 5 k. V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-21.jpg)
![1. 2 k. V 120 V 500 V 1. 5 k. V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-22.jpg)
![1. 2 k. V 120 V 500 V 1. 5 k. V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-23.jpg)
![1. 2 k. V 120 V 500 V 1. 5 k. V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-24.jpg)
![Vs © alanbarri@uomustanssityah. edu. iq VLoad Vs © alanbarri@uomustanssityah. edu. iq VLoad](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-25.jpg)
- Slides: 25
![Lectures on Power System Analysis 01 Dr Kassim AlAnbarri B Sc M Sc Lectures on Power System Analysis 01 Dr. Kassim Al-Anbarri B. Sc. , M. Sc.](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-1.jpg)
Lectures on Power System Analysis 01 Dr. Kassim Al-Anbarri B. Sc. , M. Sc. , Ph. D (Electrical Power Engineering) Affiliations: Electrical Engineering Department, College of Engineering , Mustansiriyah University Bab Al-Muadham Campus, Al Mustansiriya 10052, Baghdad, Iraq Email: alanbarri@uomustansiriyah. edu. iq alanbarri@yahoo. com kassimalanbarri@gmail. com References: 1. Saadat, H. , Power System Analysis, Mc. Graw-Hill book company, New. York, 1999 2. Stevenson, W. D. , and Grainger, J. J. , Power System Analysis, Mc. Graw-Hill book company, New. York, 1995 3. Glover, J. D. Sarma, M. S, and Overbye, T. J. , Power System Analysis and Design, Cengage Learning, USA, 2012 4. Weedy, B. M. , Cory, B. J. , Jenkins, N. , Ekanayake, J. B. , and Strbac, G. , Electric Power Systems, John Wiley & Sons, Ltd. , UK, 2012 5. Overbye, T. J, Lecture notes, University of Illinois, USA © alanbarri@uomustanssityah. edu. iq
![alanbarriuomustanssityah edu iq © alanbarri@uomustanssityah. edu. iq](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-2.jpg)
© alanbarri@uomustanssityah. edu. iq
![Modelling of Power System Components Transformersingle phase three phase Transmission LinesOver head Modelling of Power System Components � Transformer(single phase, three phase) � Transmission Lines(Over head](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-3.jpg)
Modelling of Power System Components � Transformer(single phase, three phase) � Transmission Lines(Over head , Under ground Cables ) � Load ( Con. Power, Current, Impedance) � Generators © alanbarri@uomustanssityah. edu. iq
![Low voltagetension side LV Zone 1 R 1 X 1 High voltagetension side HV Low voltage(tension) side LV Zone 1 R 1 X 1 High voltage(tension) side HV](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-4.jpg)
Low voltage(tension) side LV Zone 1 R 1 X 1 High voltage(tension) side HV Zone 2 33 k. V 132 k. V V 1 X 2 R 2 n 1 n 2 Load V 2 Power source Referring to one side yield X 1 R 1 R ׳ 2 Xm Power source X ׳ 2 Rm Load Neglecting the magnetization branch yield Power source © alanbarri@uomustanssityah. edu. iq X 1 R ׳ 2 X ׳ 2 Load
![RR 1 R 2 XX 1 X 2 Load Power source Since RX the R=R 1+ R’ 2 X=X 1+ X’ 2 Load Power source Since R<<X, the](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-5.jpg)
R=R 1+ R’ 2 X=X 1+ X’ 2 Load Power source Since R<<X, the simplified equivalent circuit of a single phase transformer X=X 1+ X’ 2 Load Power source Where X is the equivalent transformer reactance referred to one side © alanbarri@uomustanssityah. edu. iq
![Transmission Line π model L VS Sending end voltage C2 R C2 VR Receiving Transmission Line π model L VS Sending end voltage C/2 R C/2 VR Receiving](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-6.jpg)
Transmission Line π model L VS Sending end voltage C/2 R C/2 VR Receiving end voltage R= Resistance of the line = Length of line * resistance per unit length L= Inductance of the line = Length of line * inductance per unit length C= Capacitance of the line = Length of line * capacitance per unit length For short lines <50 km , Capacitance and resistance are neglected © alanbarri@uomustanssityah. edu. iq
![L VRǀVRǀδR Receiving end voltage VSǀVsǀδs Sending end voltage L Inductance of the line L VR=ǀVRǀ∠δR Receiving end voltage VS=ǀVsǀ∠δs Sending end voltage L= Inductance of the line](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-7.jpg)
L VR=ǀVRǀ∠δR Receiving end voltage VS=ǀVsǀ∠δs Sending end voltage L= Inductance of the line = Length of line * inductance per unit length © alanbarri@uomustanssityah. edu. iq
![I E 60 V alanbarriuomustanssityah edu iq R 12 Ω I + E 60 V © alanbarri@uomustanssityah. edu. iq R 12 Ω](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-8.jpg)
I + E 60 V © alanbarri@uomustanssityah. edu. iq R 12 Ω
![I E 0 5 pu alanbarriuomustanssityah edu iq R 0 4 I + E 0. 5 pu © alanbarri@uomustanssityah. edu. iq R 0. 4](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-9.jpg)
I + E 0. 5 pu © alanbarri@uomustanssityah. edu. iq R 0. 4 pu
![Problem 2 10 pp 83 of Ref2 A singlephase system shown below has Problem 2. 10 , pp. 83 of Ref[2] A single-phase system shown below has](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-10.jpg)
Problem 2. 10 , pp. 83 of Ref[2] A single-phase system shown below has two transformers A-B And B-C connected by a line B feeding a load at the receiving end C. The ratings and parameter values of the components are: Transformer A-B: 500 V/1. 5 k. V, 9. 6 k. VA, leakage reactance= 5% Transformer B-C: 1. 2 k. V/120 V, 7. 2 k. VA, leakage reactance= 4% Line B: series impedance =(0. 5+j 3. 0)Ω Load C: 120 V, 6 k. VA at 0. 8 power factor lagging 1) Determine the value of the load impedance in ohms and the actual ohmic impedances of the two transformers referred to both their primary and secondary sides. 2) Choosing 1. 2 k. V as the voltage base for circuit B and 10 k. VA as the system wide k. VA base, express all system impedances in per unit 3) What value of sending –end voltage corresponds to the given loading conditions? © alanbarri@uomustanssityah. edu. iq
![1 2 k V 120 V 500 V 1 5 k V n 1 1. 2 k. V 120 V 500 V 1. 5 k. V n 1](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-11.jpg)
1. 2 k. V 120 V 500 V 1. 5 k. V n 1 n 2 Line Zone B Zone A TA-B Zone C TB-C Fig. Problem 2. 10 © alanbarri@uomustanssityah. edu. iq n 1 n 2 Load
![alanbarriuomustanssityah edu iq © alanbarri@uomustanssityah. edu. iq](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-12.jpg)
© alanbarri@uomustanssityah. edu. iq
![500 V 1 5 k V n 1 n 2 1 3 Zone 500 V 1. 5 k. V n 1 n 2 1 3 Zone](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-13.jpg)
500 V 1. 5 k. V n 1 n 2 1 3 Zone A Zone B
![1 2 k V 120 V n 1 n 2 10 1 Zone 1. 2 k. V 120 V n 1 n 2 10 1 Zone](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-14.jpg)
1. 2 k. V 120 V n 1 n 2 10 1 Zone B Zone C
![500 V 1 5 k V ZLine n 1 n 2 0 5j 500 V 1. 5 k. V ZLine n 1 n 2 0. 5+j](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-15.jpg)
500 V 1. 5 k. V ZLine n 1 n 2 0. 5+j 3. 0 Ω Zone A © alanbarri@uomustanssityah. edu. iq Zone B TA-B
![alanbarriuomustanssityah edu iq © alanbarri@uomustanssityah. edu. iq](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-16.jpg)
© alanbarri@uomustanssityah. edu. iq
![alanbarriuomustanssityah edu iq © alanbarri@uomustanssityah. edu. iq](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-17.jpg)
© alanbarri@uomustanssityah. edu. iq
![alanbarriuomustanssityah edu iq © alanbarri@uomustanssityah. edu. iq](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-18.jpg)
© alanbarri@uomustanssityah. edu. iq
![1 2 k V 120 V 500 V 1 5 k V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-19.jpg)
1. 2 k. V 120 V 500 V 1. 5 k. V n 1 n 2 Zone B Zone A TA-B © alanbarri@uomustanssityah. edu. iq Line Zone C TB-C Load
![1 2 k V 120 V 500 V 1 5 k V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-20.jpg)
1. 2 k. V 120 V 500 V 1. 5 k. V n 1 n 2 Zone B Zone A © alanbarri@uomustanssityah. edu. iq Line TA-B Zone C TB-C Load
![1 2 k V 120 V 500 V 1 5 k V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-21.jpg)
1. 2 k. V 120 V 500 V 1. 5 k. V n 1 n 2 Zone B Zone A TA-B © alanbarri@uomustanssityah. edu. iq Line Zone C TB-C Load
![1 2 k V 120 V 500 V 1 5 k V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-22.jpg)
1. 2 k. V 120 V 500 V 1. 5 k. V n 1 n 2 Zone B Zone A TA-B © alanbarri@uomustanssityah. edu. iq Line Zone C TB-C Load
![1 2 k V 120 V 500 V 1 5 k V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-23.jpg)
1. 2 k. V 120 V 500 V 1. 5 k. V n 1 n 2 Zone B Zone A TA-B © alanbarri@uomustanssityah. edu. iq Line Zone C TB-C Load
![1 2 k V 120 V 500 V 1 5 k V n 1. 2 k. V 120 V 500 V 1. 5 k. V n](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-24.jpg)
1. 2 k. V 120 V 500 V 1. 5 k. V n 1 n 2 Zone B Zone A TA-B © alanbarri@uomustanssityah. edu. iq Line Zone C TB-C Load
![Vs alanbarriuomustanssityah edu iq VLoad Vs © alanbarri@uomustanssityah. edu. iq VLoad](https://slidetodoc.com/presentation_image_h/0ed7e27c725535ecba550e966aa3b1b5/image-25.jpg)
Vs © alanbarri@uomustanssityah. edu. iq VLoad
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