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For a two-phase network, the phase voltages Vp and Vq are to be expressed in terms of sequence voltages Vα and Vβ as [Vp Vq]^T = S [Vα Vβ]^T. The possible option(s) for matrix S is/are

1. [1 1; 1 -1]
2. [1 1; 1 1]
3. [1 1; 1 0]
4. [-1 1; 1 1]

Correct answer: [1 1; 1 -1]

Solution

The correct matrix S, [1 1; 1 -1], effectively transforms the sequence voltages Vα and Vβ into the phase voltages Vp and Vq by combining them in a way that reflects the characteristics of a two-phase system, where Vp is the sum of both sequence voltages and Vq is their difference.

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