Mathematics · Transformers
Two single-phase transformers, Transformer A rated at 100 kVA and Transformer B rated at 80 kVA, are connected in parallel to supply a total load of 120 kW at a 0.85 lagging power factor. The per-unit impedance for Transformer A is 0.015 + j0.04 (on its 100 kVA base), and for Transformer B is 0.02 + j0.05 (on its 80 kVA base). What is the real power (in kW) shared by each transformer?
- 1A takes 43.5 kW; B takes 76.5 kW
- 2A takes 65.6 kW; B takes 54.4 kW
- 3A takes 87.2 kW; B takes 32.8 kW
- 4A takes 73.4 kW; B takes 46.6 kW✓
Correct answer
A takes 73.4 kW; B takes 46.6 kW
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