- 2074 Asoj · 8 marks
Load sharing: 600 and 500 MVA, 900 MVA load
Short answer
New frequency is approximately 59.74 Hz. Unit 1 generates 564.29 MVA and Unit 2 generates 435.71 MVA.
Two generating units of capacity 600MVA and 500MVA having droop of 4% and 6% are supplying 500MVA and 400MVA respectively to a common load of 900MVA at 60Hz. Calculate the new frequency and the new generation on each unit if load is increased to 100MVA.
Taking "increased to 100 MVA" as increased by 100 MVA (total 1000 MVA), and treating MVA as MW (unity power factor), both units share the increase in proportion to .
Method: a unit with droop (pu on its own rating ) and rated frequency changes its output by
where is its stiffness in MW/Hz. All units run at the same frequency, so .
Data: Unit 1: 600 MVA, 4 %, supplying 500; Unit 2: 500 MVA, 6 %, supplying 400; Hz; .
| Unit | Initial | Increase | New |
|---|---|---|---|
| 1 (600 MVA, 4 %) | 500 | 64.29 | 564.29 |
| 2 (500 MVA, 6 %) | 400 | 35.71 | 435.71 |
| Total | 900 | 100 | 1000 |
Answer: New frequency ≈ 59.74 Hz; Unit 1 generates 564.29 MVA (MW) and Unit 2 435.71 MVA (MW).
✓ Answer checked by Claude Opus 5.5 (high effort)
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