Generator manufacturers often use the term WR2, which is

Chapter , Problem 11.3

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Generator manufacturers often use the term WR2, which is the weight in pounds of all the rotating parts of a generating unit (including the prime mover) multiplied by the square of the radius of gyration in feet. WR2/32.2 is then the total moment of inertia of the rotating parts in slug-fl2. (a) Determine a formula for the stored kinetic energy in ftlb of a generating unit in terms of WR2 and rotor angular velocity om. (b) Show that H _ 2:31 ? 104WR2 rpm_ 2 Srated per unit-seconds where Srated is the voltampere rating of the generator, and rpm is the synchronous speed in r/min. Note that 1 ft-lb _ 746=550 _ 1:356 joules. (c) Evaluate H for a threephase generating unit rated 800 MVA, 3600 r/min, with WR2 _ 4,000,000 lb-ft2.

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