The document provides an overview of power system analysis and modeling. It discusses modeling of various power system components like generators, transformers, transmission lines, and induction motors using equivalent circuits. It also covers per unit calculations and formation of impedance and reactance diagrams from a single line diagram. The document further discusses power flow analysis using bus admittance matrix and different iterative methods. It covers balanced and unbalanced fault analysis using symmetrical components. It concludes with discussing power system stability including steady state, transient, and voltage stability.

1. EE1352 POWER SYSTEM ANALYSIS R.KALAIVANI EEE DEPARTMENT RAJALAKSHMI ENGINEERING COLLEGE RAJALAKSHMI NAGAR,THANDALAM 602 105

3. Power system network

6. MODELLING OF GENERATOR AND SYNCHRONOUS MOTOR 1 Φ equivalent circuit of generator 1 Φ equivalent circuit of synchronous motor

7. MODELLING OF TRANSFORMER =Equivalent resistance referred to 1 o =Equivalent reactance referred to 1 o

8. MODELLING OF TRANSMISSION LINE Π type T type

9. MODELLING OF INDUCTION MOTOR =Resistance representing load =Equivalent resistance referred to stator =Equivalent reactance referred to stator

10. per unit=actual value/base value Let KVA b =Base KVA kV b =Base voltage Z b =Base impedance in Ω

16. REACTANCE DIAGRAM FOR THE GIVEN POWER SYSTEM NETWORK

18. p.u. calculation of 3 winding transformer Zp=Impedance of primary winding Zs’=Impedance of secondary winding Zt’=Impedance of tertiary winding Short circuit test conducted to find out the above 3 impedances

19. = Leakage impedance measured in 1 o with 2 o short circuited and tertiary open. = Leakage impedance measured in 1 o with tertiary short circuited and 2 o open. = Leakage impedance measured in 2 o with tertiary short circuited and 1 o open and referred to primary

22. BUS ADMITTANCE(Y BUS) MATRIX Y BUS can be formed by 2 methods 1.Inspection method 2.Singular transformation Y BUS =

27. GAUSS SEIDAL METHOD For load bus calculate |V| and δ from V p k+1 equation For generator bus calculate Q from Q P K+1 equation

29. NEWTON RAPHSON METHOD

51. RELATIONSHIP BETWEEN UNBALANCED VECTORS AND SYMMETRICAL COMPONENTS Similarly we can obtain for currents also

54. SEQUENCE NETWORK FOR TRANSMISSION LINE positive sequence network negative sequence network Zero sequence network

55. SEQUENCE NETWORK FOR TRANSFORMER positive sequence network negative sequence network Zero sequence network

56. SEQUENCE NETWORK FOR LOAD positive sequence network negative sequence network Zero sequence network

57. SINGLE LINE TO GROUND FAULT Consider a fault between phase a and ground through an impedance z f

58. LINE TO LINE (LL) FAULT Consider a fault between phase b and c through an impedance z f

59. DOUBLE LINE TO GROUND (LLG) FAULT Consider a fault between phase b and c through an impedance z f to ground

61. LINE TO LINE (LL) FAULT Consider a fault between phase b and c through an impedance z f

62. DOUBLE LINE TO GROUND (LLG) FAULT Consider a fault between phase b and c through an impedance z f to ground

63. BUS VOLTAGES AND LINE CURRENTS DURING FAULT

70. δ and ω s are in electrical radian p.u p.u H=machine inertia constant

71. Swing Equation for Multimachine System p.u =machine rating(base) =system base

81. The swing equation Applying Modified Eulers method to above equation