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ECE 3810 First Order Circuit Transients

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Title: ECE 3810 First Order Circuit Transients


1
ECE 3810 Fundamentals of Electrical Engineering
First Order Transient Response of RL and RC
Circuits
  • First Order Transient Characteristics
  • A single energy storage element, one C or one L
  • Losses represented by one or more R
  • Constant sources
  • A switch that opens or closes at a given time t
  • All linear components

2
ECE 3810 Fundamentals of Electrical Engineering I
Transients
  • The time-varying currents and voltages resulting
    from the sudden application of sources, usually
    due to switching, are called transients.
  • By writing circuit equations, we obtain
    integrodifferential equations.

3
ECE 3810 Fundamentals of Electrical Engineering
Series RL Circuit
4
ECE 3810 Fundamentals of Electrical Engineering
Series RC Circuit
5
ECE 3810 Fundamentals of Electrical Engineering
General First Order Differential Equation
Solution of First Order Differential Equation
6
ECE 3810 Fundamentals of Electrical Engineering
Determination of constants in the solution
7
ECE 3810 Fundamentals of Electrical Engineering
Determination of constants in the solution
8
ECE 3810 Fundamentals of Electrical Engineering
Determination of constants in the solution
9
ECE 3810 Fundamentals of Electrical Engineering
General forms of Differential Equation and
Solution
10
ECE 3810 Fundamentals of Electrical Engineering
Series RL Circuit
11
ECE 3810 Fundamentals of Electrical Engineering
Series RC Circuit
12
ECE 3810 Fundamentals of Electrical Engineering
First Order Transient Response of RL and RC
Circuits
  • Steps of Solution
  • Find the time constant t (RC or L/R)
  • Find the initial value of the voltage or current
  • Find the final or steady state value of the
    voltage or current
  • Substitute the values in the general form of the
    solution
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