GATE EE 2026 Set 1 — Question 19
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Power Systems → Fault Analysis → Symmetrical Components
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Question
The initial three-phase voltage phasors (, , and ) at a bus of a power network are as shown in Case-1. Due to a disturbance, the bus voltage phasors changed in phase by a small angle , and the magnitudes remained the same as depicted in Case-2.
Which one of the following statements is correct about the zero sequence
components?

components?
Correct answer
(D) The zero sequence components in Case-1 and Case-2 have the same magnitude but different phase angles
Solution
The zero sequence component is defined as . In Case-2, each phasor is rotated by a small angle , which can be represented mathematically as multiplying each phasor by . Thus, the new phasors are , , and . The new zero sequence component is:This shows that the magnitude remains the same, but the phase angle of the zero sequence component changes by . Therefore, the zero sequence components in Case-1 and Case-2 have the same magnitude but different phase angles.
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