A voltage commutation circuit is shown in figure. The turn-off time of...
Given information:
- Turn-off time of both SCR is 60 sec.
- Current through R1 and R2 is 20 A.
- Voltage across R1 and R2 is 120 V.
To determine:
The minimum value of the capacitor required for proper commutation.
Approach:
- The commutation process in a voltage commutation circuit involves turning off one SCR while turning on the other SCR to ensure continuous flow of current.
- The minimum value of the capacitor required for proper commutation can be determined by considering the worst-case scenario, where the turn-off time of both SCRs is at its maximum value.
Calculation:
- The worst-case scenario occurs when both SCRs turn off simultaneously.
- The voltage across the capacitor during this worst-case scenario is given by the equation: Vc = V - Vr2 - Vr1, where V is the supply voltage, Vr2 is the voltage across resistor R2, and Vr1 is the voltage across resistor R1.
- V = 120 V (given)
- Vr1 = I * R1 = 20 A * 10 Ω = 200 V
- Vr2 = I * R2 = 20 A * 5 Ω = 100 V
- Vc = V - Vr2 - Vr1 = 120 V - 100 V - 200 V = -180 V (negative because the polarities are reversed during commutation)
- The voltage across the capacitor cannot be negative, so we need to choose a minimum value of the capacitor such that Vc is positive.
- Let C be the capacitance in Farads.
- The charge stored in the capacitor during commutation is given by the equation: Q = C * Vc.
- For proper commutation, the charge stored in the capacitor should be sufficient to maintain the voltage across the load during the turn-off time of the SCR.
- Let Toff be the turn-off time of the SCR = 60 sec.
- The charge required to maintain the voltage across the load is given by the equation: Qload = I * Toff.
- Equating the charge stored in the capacitor to the charge required to maintain the voltage across the load, we have: C * Vc = Qload.
- Substituting the values, we get: C * (-180 V) = 20 A * 60 sec.
- Solving for C, we get: C = 14.4 μF.
Therefore, the minimum value of the capacitor required for proper commutation is 14.4 μF.
A voltage commutation circuit is shown in figure. The turn-off time of...