Voltage across thyristors: half-wave vs full-wave (M-2) converters with resistive load A single-phase half-wave controlled converter feeding an R load and a single-phase full-wave (M-2) converter feeding an R load are both fired at angle α. How do the thyristor voltage waveforms compare?

Difficulty: Medium

Correct Answer: are not similar

Explanation:


Introduction / Context:
Converter topology determines device stress and voltage blocking patterns. Even with the same firing angle α and purely resistive loads, the thyristor voltages in half-wave (one device conduction per positive half-cycle) and full-wave M-2 (two devices conducting alternately in each half-cycle) differ significantly. Recognizing these waveform differences is essential for device selection and snubber design.


Given Data / Assumptions:

  • Both loads are purely resistive.
  • Firing angle α is the same in both circuits.
  • Ideal devices; source inductance neglected.


Concept / Approach:

In the half-wave circuit, the controlled device sees full reverse half-cycle voltage stress and blocks for the entire negative half. In the M-2 full-wave circuit (center-tapped), two SCRs alternately conduct; each device’s blocking and conduction intervals are mirrored across half-cycles. Voltage across each thyristor thus has a distinct pattern compared with the single-device half-wave case, leading to non-similar waveforms.


Step-by-Step Solution:

Half-wave: one SCR; device blocks from ωt = 0 to α, then conducts to π; blocks entire negative half-cycle.M-2: two SCRs; each fires at α in alternate half-cycles; blocking/forward intervals alternate between the two devices.Device voltage waveforms differ in polarity, duration, and timing → not similar.


Verification / Alternative check:

Plotting v_SCR(t) for both topologies demonstrates different blocking intervals and polarities even for the same α.


Why Other Options Are Wrong:

“Similar” or “identical only at α = 0” misrepresents fundamental topology differences; “may be similar” is vague and incorrect for ideal cases.


Common Pitfalls:

Comparing output load voltage waveforms instead of device voltage stress; ignoring the second device in M-2.


Final Answer:

are not similar

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