GATE EE 2022 Set 1 — Question 56
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Electrical Machines → Economic Operation & Compensation → Load Frequency Control
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Question
Two generating units rated for and have governor speed regulations of and , respectively, from no load to full load. Both the generating units are operating in parallel to share a load of . Assuming free governor action, the load shared in MW, by the generating unit is _________. (round off to nearest integer)
Solution
With free governor action both units settle at the same new frequency. Each unit's output changes linearly with frequency, with stiffness (rated power divided by per-unit speed regulation), so the load divides in proportion to , i.e. inversely to each unit's droop in Hz/MW., ; , .For a per-unit frequency drop from the common no-load frequency:With :Load shared by the unit:(Check: , and .)Answer: MW
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