Wednesday 5 August 2015

Transients in Circuits

1. How Transients will occur in the circuit?

(a) Energy storage elements present in the circuit.
(b) Switching operations(opening the switch, closing the switch, moving the switch from one position to other)
(c) Sudden change in circuit configuration(connecting the source suddenly, disconnecting the source suddenly, short circuit, open circuit)

2. What are Transients?

Voltages, current during transient period are called Transients.

3. Fundamental concepts in Transient analysis:

(a) Transient state: The state during which the circuit voltages, currents are not constant, changes with time is called Transient state.
(b) Steady state:    A network is said to be in steady state if it consists of constant sources and branch currents, node voltages are not changing with time. Circuits with currents ad voltages having a constant amplitude and constant frequency sinusoidal functions are considered to be in steady state,this means the amplitude and frequency of a sinusoidal wave never changes in steady state circuit.
(c) Transient Response:  The current and votage during transient period are called Transients response of the circuit. This will vary with the time and becomes zero after some time
(d) Steady state Response:  The current and voltage during Steady state period are called Steady state response of the circuit. This will not vary with the time.
(e) Natural Response or free response: The response of the circuit without source or when no external source applied, the response of the circuit due to energy stored in its energy storage elements.
(f) Forced response:  The response of the system when an external source is applied is called as forced response.
(g) Initial conditions or boundary conditions:
1. We assume that at reference time t=0, network state is changed by switching operation and let switch operates in zero time. The network conditions at this instant are called Initial conditions in network.
2. t(0-): It is the instant at which the condition of the network is not yet changed ,but it is about to be changed .(Just before the switching operation)
t(0+): It is the instant at which the condition of the network is just changed. (Immediately after the switching operation).
i(0-): current in the circuit just before the switching operation
i(0+): current in the circuit immediately after the switching operation
v(0-): voltage in the circuit just before the switching operation
v(0+): voltage in the circuit immediately after the switching operation.
3. Initial conditions in the network depend on the past history prior to t=0-
4. Initial conditions are used to obtain the natural response of the circuit.
5. Initial conditions of basic circuit components


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Article By:
K Praveen Kumar
Asst. Professor
EEE Department

Sphoorthy Engineering College


Sphoorthy Engineering College



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