Derive the expression for the Fourier series of v 2 ( t ) and verify the Fourier co-efficients.

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2. A 3-phase, 75 MVA, 11-8 kV star-connected alternator with a solidly earthed neutral point has the fol- lowing p.u. impedances based on rated phase voltage and rated phase current : Positive phase sequence impedance Negative phase sequence impedance Zero phase sequence impedance = j 2 p.u. = j 0.16 p.u. = j 0.08 p.u. Determine the steady-state fault current for the following: (i) 3-phase symmetrical short-circuit (ii) one line-to-earth fault (iii) two line-to-earth fault. The generated e.m.f. per phase is equal to the rated voltage. [(i)1840 A (ii) 4920 A (iii) 3580 A]

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Chapter 16, Problem 18P

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Derive the expression for the Fourier series of v2(t) and verify the Fourier co-efficients.

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2. A 3-phase, 75 MVA, 11-8 kV star-connected alternator with a solidly earthed neutral point has the fol- lowing p.u. impedances based on rated phase voltage and rated phase current : Positive phase sequence impedance Negative phase sequence impedance Zero phase sequence impedance = j 2 p.u. = j 0.16 p.u. = j 0.08 p.u. Determine the steady-state fault current for the following: (i) 3-phase symmetrical short-circuit (ii) one line-to-earth fault (iii) two line-to-earth fault. The generated e.m.f. per phase is equal to the rated voltage. [(i)1840 A (ii) 4920 A (iii) 3580 A]

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