- 2075 Baisakh · 8 marks
10 kVA 200/400 V test parameters
Short answer
From OC test on LV: Iμ=1.153 A, Iw=0.600 A, Ro=333.3 Ω, Xo=173.4 Ω. From SC test on HV: Ro2=0.222 Ω, Xo2=0.699 Ω, Zo2=0.733 Ω.
A 10 KVA, 200/400 V, 50 Hz single-phase transformer gave the following test results: O.C. test: 200 V, 1.3 A, 120 W, on L.V. side. S.C. test: 22 V, 30 A, 200 W, on H.V. side. Calculate: Iμ, Iw, Ro, Xo, Ro2, Xo2 and Zo2.
Given: 10 kVA, 200/400 V, 50 Hz. OC test on the LV (200 V) side; SC test on the HV (400 V) side. Subscript 2 refers to the HV (secondary) side, since the series parameters are from the HV-side test; Ro, Xo are on the LV side where the OC test was done.
No-load parameters (LV side, from OC test)
cos φ0 = W0/(V0 I0) = 120/(200 × 1.3) = 0.4615
Iw = I0 cos φ0 = 1.3 × 0.4615 = 0.600 A
Iμ = √(I0² − Iw²) = √(1.69 − 0.36) = 1.153 A
Ro = V0/Iw = 200/0.600 = 333.3 Ω
Xo = V0/Iμ = 200/1.153 = 173.4 Ω
Series parameters (HV side, from SC test)
Zo2 = Vsc/Isc = 22/30 = 0.7333 Ω
Ro2 = Wsc/Isc² = 200/30² = 0.2222 Ω
Xo2 = √(Zo2² − Ro2²) = √(0.5378 − 0.0494) = 0.6989 Ω
| Quantity | Value |
|---|---|
| Iμ | 1.153 A |
| Iw | 0.600 A |
| Ro | 333.3 Ω (LV side) |
| Xo | 173.4 Ω (LV side) |
| Ro2 | 0.222 Ω (HV side) |
| Xo2 | 0.699 Ω (HV side) |
| Zo2 | 0.733 Ω (HV side) |
Answer: Iμ = 1.153 A, Iw = 0.6 A, Ro = 333.3 Ω, Xo = 173.4 Ω, Ro2 = 0.222 Ω, Xo2 = 0.699 Ω, Zo2 = 0.733 Ω. The rated HV current is 10 000/400 = 25 A, so the 30 A used in the test is above rated (accepted as given).
✓ Answer checked by Claude Opus 5.5 (high effort)
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