SUBJECT- GUIDED BY DHAVAL PATEL EC 3 RD SEM ANUPRIYA KASHYAP 130460111001.

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Presentation transcript:

SUBJECT-

GUIDED BY DHAVAL PATEL EC 3 RD SEM ANUPRIYA KASHYAP

 You will recall from Chapter 9 that the superposition theorem eliminated the need for solving simultaneous linear equations by considering the effects of each source independently.  To consider the effects of each source, we had to remove the remaining sources.  This was accomplished by setting voltage sources to zero (short-circuit representation) and current sources to zero (open-circuit representation).  The current through, or voltage across, a portion of the network produced by each source was then added algebraically to find the total solution for the current or voltage.

 The only variation in applying this method to ac networks with independent sources is that we are now working with impedances and phasors instead of just resistors and real numbers.  The superposition theorem is not applicable to power effects in ac networks since we are still dealing with a nonlinear relationship.  It can be applied to networks with sources of different frequencies only if the total response for each frequency is found independently and the results are expanded in a nonsinusoidal expression.

FIG Example SUPERPOSITION THEOREM Independent Sources

FIG Assigning the subscripted impedances to the network in Fig SUPERPOSITION THEOREM Independent Sources FIG Determining the effect of the voltage source E 1 on the current I of the network in Fig

FIG Determining the effect of the voltage source E 2 on the current I of the network in Fig

FIG Determining the resultant current for the network in Fig FIG Example 18.2.

FIG Assigning the subscripted impedances to the network in Fig FIG Determining the effect of the current source I 1 on the current I of the network in Fig

FIG Determining the effect of the voltage source E 1 on the current I of the network in Fig FIG Determining the resultant current I for the network in Fig

FIG Determining the resultant voltage V 6Ω for the network in Fig FIG Example 18.4.

FIG Determining the effect of the dc voltage source E 1 on the voltage v 3 of the network in Fig

FIG Redrawing the network in Fig to determine the effect of the ac voltage source E 2.

FIG Assigning the subscripted impedances to the network in Fig

FIG Determining the total impedance for the network of Fig

FIG The resultant voltage v 3 for the network in Fig

SUPERPOSITION THEOREM Dependent Sources  For dependent sources in which the controlling variable is not determined by the network to which the superposition theorem is to be applied, the application of the theorem is basically the same as for independent sources.  The solution obtained will simply be in terms of the controlling variables.

FIG Example FIG Assigning the subscripted impedances to the network in Fig FIG Determining the effect of the voltage-controlled voltage source on the current I 2 for the network in Fig

FIG Determining the effect of the current-controlled current source on the current I 2 for the network in Fig FIG Example 18.6.