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Power Electronics and Motor Drive Systems
book

Power Electronics and Motor Drive Systems

by Stefanos Manias
November 2016
Intermediate to advanced
1008 pages
27h 59m
English
Academic Press
Content preview from Power Electronics and Motor Drive Systems

2.4. Circuit With DC Source and R–L–C Load

For the circuit shown in Fig. 2.5, when the switch S is closed at t = 0+, the following equation holds:

V=vL+vC+vR=Ldidt+1C0tidt+vC(0)+Ri

image (2.22)

where vC(0) is the initial voltage across the capacitor. From Eq. (2.22) the following differential equation is obtained:

d2idt2+RLdidt+1LCi=0

image (2.23)

The transient current component iN is found by solving the differential Eq. (2.23), which is:

i=iN=A1es1t+A2es2t

image (2.24) ...

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Publisher Resources

ISBN: 9780128118146