ω = 500 rad/sec = 2πf.
At Resonance condition,
ωL = 1/(ωC)
L 0.2 H
Also at series resonace
1. fr = 1/[2π√(LC)]
2. PF = 1
3. Maximum current
4. Source voltage = voltage across resistor.
Vt = 300 V
Rse = 0.03 Ω, Rsh = 30 Ω, Ra = 0.05 Ω
I_L = 50 A
Vsh = V + I_L*Rse = 300 + 50*0.03 = 301.5 V
Ish = Vsh/Rsh = 301.5/30 = 10.05 A
Ia = Ish + I_L = 60.05 A
Eg = Vt + I_L*Rse + IaRa
Eg = 300 + 50*0.03 + 60.05*0.05 = 304.5025 V
The main function of an interposing CT is to balance the currents supplied to the relay where there would be an imbalance due to the ratios of the main CTs.
Interposing CTs are equipment with a ratio that can be selected by the user to achieve the balance required.
An interposing CT is installed between the secondary winding of the main CT and relay.