A 120V battery supplies RL load through chopper. A freewheeling diode...
Understanding the Chopper Operation
In a chopper circuit, the relationship between Ton and Toff (the time the switch is ON and OFF) is crucial for analyzing the load current in RL circuits.
Given Parameters
- Battery Voltage (V) = 120V
- Load Resistance (R) = 5Ω
- Load Inductance (L) = 60mH
- Load Current (I) varies between 7A and 9A
Calculating Average Current (Iavg)
- Average Load Current (Iavg) = (Imin + Imax) / 2
- Iavg = (7A + 9A) / 2 = 8A
Understanding Ton and Toff
- During Ton, the chopper is ON, and the current increases through the inductor.
- During Toff, the chopper is OFF, and the inductor current flows through the freewheeling diode.
Inductor Voltage and Current Relationships
- The inductor's voltage can be expressed as:
V = L * (di/dt)
- The energy stored in the inductor during Ton contributes to the current during Toff.
Applying the Formula for Ton/Toff Ratio
- The average voltage across the inductor during switching can be represented as:
V = Iavg * R
- Calculating the voltage drop:
V = 8A * 5Ω = 40V
- The remaining voltage across the inductor:
VL = V - V = 120V - 40V = 80V
Finding Ton/Toff
- The ratio Ton/Toff can be derived from the energy balance in the inductor.
- Since the current varies linearly, and using the values of R and L, it can be shown that the derived relationship gives a ratio of Ton/Toff = 0.5.
Conclusion
The calculated ratio Ton/Toff = 0.5 indicates that for every 1 unit of time the chopper is ON, it is OFF for 2 units, establishing a balanced operation of the chopper circuit with the RL load.
A 120V battery supplies RL load through chopper. A freewheeling diode...
Given: Vs = 120 V, R = 5 Ω, L = 60 mH, I0 = 7A to 9A
Average output current,
Applying KVL during T
ON,

Applying KVL during T
OFF,

Now we can write,
Hence, Ton/Toff = 0.5