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Electrical Transients in Power System. January 2009 Mehdi Vakilian. Text Books:. 1-Transients in Power Systems by: Lou van der Slius, 2001 2- Electrical Transients in Power System by: Allan Greenwood, 1991.

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electrical transients in power system
Electrical Transients in Power System

January 2009

Mehdi Vakilian

text books
Text Books:
  • 1-Transients in Power Systems

by: Lou van der Slius, 2001

  • 2- Electrical Transients in Power System

by: Allan Greenwood, 1991

course outline
COURSE OUTLINE
  • Fundamental Notions About Electrical Transients
  • Basic Concepts and Simple Switching Transients
  • Damping Effect on Switching Transients
  • Abnormal Switching Transients
  • Testing of Circuit Breakers
  • Transient Analysis of 3Ph Power Systems
course outline continued
Course Outline …..continued
  • Transient Analysis of 3Ph Power Systems
  • Traveling Waves and Other Transients on Transmission Line
  • Modeling Power Equipments for Transients
  • Numerical Simulation of Elec. Transients
  • Lightning and its Induced Transients
  • Insulation Coordination
  • Protection Against Over Voltages
evaluation system
Evaluation System
  • Assignments : 10%
  • Mid Term One (items 1 to 4) : 10%
  • Mid Term Two (items 5 to 7) : 10%
  • Final : 60%
  • Class Project : 10%
chapter one fundemental notions about electrical transients
Chapter One : Fundemental Notions about Electrical Transients
  • Time Scale in Power System Studies:

planning, Load Flow, Dynamic Stability

Switching, external disturbances

Frequency Content

Differential Equations Solution

Distributed and Lumped Parameters

Calculatable,Controllable, Preventable

Tools for Study

cct parameters
CCT Parameters
  • In Steady State and Transient
  • Mathematical Presentation & Physical Interpretation
thumbprints
Thumbprints:
  • RC CCT: Time Constant ; RC
  • RL CCT : Time Constant ; L/R
  • LC CCT : Period of Oscillation ;
principle of superposition
Principle of Superposition
  • If stimulus s1 produces R1

& s2 produces R2

applying s1+ s2 simultaneously

responds R1+R2 in Linear System

Linear System: response

proportional to :

stimulus

cct detail i1 pre opening current i2 superposed current to simulate current cease
CCT Detail I1: Pre-opening current I2: Superposed current to simulate current cease
s p application in closing switch
S.P. application in Closing switch
  • V1 : voltage across contacts pre-closing
  • Therefore:

-V1 fictitious stimulus superposed

simulating the closing action

solving rc problem with lap trans
Solving RC problem with Lap. Trans.
  • In terms of I in the CCT:

Applying L.P. :

continuing rc cct solution
Continuing RC CCT solution
  • The L.T. solution:
  • The time solution:
rl cct excited by battery v
RL CCT excited by Battery V
  • Solving for I in CCT
  • The L.T. of Eq.:
  • The response:
example 377 mva gen field winding l 0 638h exciter noload 1 2 mw 480v
Example: 377 MVA Gen field windingL=0.638H, Exciter noload:1.2 MW(480V)
  • Energy stored in F.W.:
vc characteristic
Vc characteristic
  • Vc Osc. Amp depend on V-Vc(0)
  • Vc starts at Vc(0) as expected
  • Response for :

1-Vc(0)=-V

2-Vc(0)=0

3-Vc(0)=+V/2

Voltage and Current Relation