RLC Resonance & Transient Stability

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Temporary 3 Phase fault at the sending end bus : 

Temporary 3 Phase fault at the sending end bus Pm = 0.8;E=1.17;V=1.0; X1=0.65;X2=inf;X3=0.65 Eacfault (Pm,E,V,X1,X2,X3)

Three Phase fault in the middle of one of the lines : 

Three Phase fault in the middle of one of the lines Pm = 0.8;E=1.17;V=1.0; X1=0.65;X2=1.8;X3=0.8; eacfault(Pm,E,V,X1,X2,X3)

Slide 4: 

Pm = 0.8;E=1.17;V=1.0; X1=0.65;X2=inf;X3=0.8; eacfault(Pm,E,V,X1,X2,X3)

Fault Clearing Time set as 0.3sec : 

Fault Clearing Time set as 0.3sec

Fault Clearing Time set as 0.5sec : 

Fault Clearing Time set as 0.5sec

Slide 8: 

Modeling of RLC series resonant circuit + v(t) = 5 sin ?t – i 10 ? 100 uF 0.01 H Writing KVL around the loop,

Slide 9: 

Taking Laplace transform:

Slide 10: 

Thus the current can be obtained from the voltage:

Slide 11: 

Frequency verses current is plotted The input is 5sin(?t).

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