Single-phase cycloconverter with centre-tapped input transformer For a single-phase cycloconverter that uses a centre-tapped input transformer, how many thyristors are required to realize both positive and negative converters?

Introduction / Context:
A single-phase cycloconverter synthesizes low-frequency AC directly from a higher-frequency AC source by phase-controlling segments of the input. With a centre-tapped transformer, separate controlled paths are used for the positive and negative groups.

Given Data / Assumptions:

• Centre-tapped secondary providing two half-windings.
• Need for controlled positive and negative output half-cycles.
• Use of line-commutated thyristors (SCRs).

Concept / Approach:
Each converter group (positive and negative) requires two controlled devices when using a centre-tap, mirroring a full-wave controlled rectifier structure. One group conducts to build the positive half-cycle, the other for the negative half-cycle.

Step-by-Step Solution:
Count devices per group → 2 SCRs (centre-tap equivalent full-wave).Two groups (positive and negative) → total devices = 2 + 2 = 4.Thus, the minimum practical implementation requires four thyristors.

Verification / Alternative check:
Draw the centre-tapped rectifier pair for each polarity; duplicating for the opposite polarity yields four controlled elements.

Why Other Options Are Wrong:
2 thyristors: Insufficient for independent control of both polarities.
8 thyristors: Excessive for single-phase centre-tapped case.
Either 2 or 4: Ambiguous; correct is 4 for full functionality.

Common Pitfalls:
Confusing bridge-type cycloconverters (which use more devices) with centre-tapped arrangements.

Final Answer:
4 thyristors