In a full-wave converter with mid-point (M–2) connection, each thyristor has a PIV of 400 V. For the same output voltage using a fully controlled bridge converter, what is the required PIV per thyristor?
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A200 V
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B400 V
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C800 V
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D2002 V
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E100 V
Answer
Correct Answer: 200 V
Explanation
Introduction / Context:Peak inverse voltage (PIV) rating depends on converter topology. For a given dc output, different rectifier configurations impose different maximum reverse voltages on each device. This question compares the mid-point (M–2) full-wave converter and the full bridge (B–2) converter.
Given Data / Assumptions:
- M–2 converter PIV per thyristor = 400 V.
- Same dc output voltage to be obtained using a fully controlled bridge.
- Ideal devices and transformer, standard rectifier relationships.
Concept / Approach:
For a single-phase center-tapped (M–2) converter, PIV per device ≈ 2Vm (peak of half-secondary seen reflected). For a single-phase full bridge (B–2), PIV per device ≈ Vm. Thus, for the same dc output, the B–2 requires roughly half the PIV of M–2 per device.
Step-by-Step Solution:
Given M–2 PIV = 2Vm = 400 V ⇒ Vm = 200 V.Bridge (B–2) PIV per thyristor ≈ Vm = 200 V.Therefore, use thyristors rated at about 200 V (plus design margin).Verification / Alternative check:
Textbook rectifier PIV results: center-tapped diode/thyristor PIV = 2Vm; bridge PIV = Vm. The ratio is consistently 2:1 for equal dc outputs with comparable transformer secondaries.
Why Other Options Are Wrong:
- 400 V and 800 V: correspond to center-tapped values or doubled ratings; unnecessary for the bridge at the same dc output.
- 2002 V: unrealistic and not topology-derived.
- 100 V: underestimates required blocking capability.
Common Pitfalls:
- Mistaking line-to-line peak with half-winding peak.
- Ignoring that bridge shares reverse stress between legs differently than M–2.
Final Answer:
200 V