Average load current in a phase-controlled rectifier: On which parameter(s) does the average load current delivered by a thyristor predominantly depend (assume mains frequency fixed and gate drive above threshold)?
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Afiring angle
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Bfiring frequency
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Cmagnitude of gate current
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Dall of the above
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E—
Answer
Correct Answer: firing angle
Explanation
Introduction / Context:In AC phase-controlled rectifiers, the average DC output is regulated by delaying the thyristor firing instant within each half-cycle. Understanding which control variable truly sets the average load current helps avoid common misconceptions about gate drive magnitude and repetition rate.
Given Data / Assumptions:
- Supply frequency is fixed (e.g., 50/60 Hz).
- Gate current amplitude exceeds the necessary trigger threshold.
- Load is such that conduction follows the phase control behavior.
Concept / Approach:
The average load current is determined by the average DC output voltage, which depends on firing angle α (e.g., Vdc ∝ cos α in a full converter, or Vdc ∝ (1 + cos α) in a semi-converter). Firing frequency is tied to the mains and not a control variable. Once the gate pulse exceeds threshold, its magnitude does not set the steady-state average load current; it only guarantees reliable triggering.
Step-by-Step Solution:
Output average voltage is a function of α.Average current I_avg ≈ Vdc / R (or per equivalent) in steady state.Thus the dominant control parameter is α, not gate current magnitude or “firing frequency”.Verification / Alternative check:
Converter equations in textbooks express Vdc as functions of α; gate drive amplitude appears only in trigger reliability, not in Vdc formulas.
Why Other Options Are Wrong:
- Firing frequency: locked to mains; not an independent knob.
- Gate current magnitude: above threshold it does not change Vdc.
- “All of the above” is incorrect for the reasons above.
Common Pitfalls:
Assuming stronger gate pulses “force” more current; the converter is voltage-controlled by phase delay, the load sets the current from that voltage.
Final Answer:
firing angle