Power triangle @ bxzbthf的部落格

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Power triangle

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A 220V, 50Hz single-phase power supply feeds the following loads in parallel- a motor of 55 kVA with a lagging power factor of 0.7;- a pure resistive heating load of 10 kW;- a furnace load of 15 kW with a lagging power factor of 0.6. Determine:(a)the total active power and reactive power taken from... 顯示更多 A 220V, 50Hz single-phase power supply feeds the following loads in parallel - a motor of 55 kVA with a lagging power factor of 0.7; - a pure resistive heating load of 10 kW; - a furnace load of 15 kW with a lagging power factor of 0.6. Determine: (a)the total active power and reactive power taken from the power supply; (b)the overall power factor; and (c) the total current demand.

最佳解答:

A 220V, 50Hz single-phase power supply feeds the following loads in parallel - a motor of 55 kVA with a lagging power factor of 0.7; P = 55*0.7 =38.5kW I = 55000/220 =250A - a pure resistive heating load of 10 kW; I = 10000/220 = 45.45A - a furnace load of 15 kW with a lagging power factor of 0.6. P = 15kW S = 15000/0.6 = 25kVA I = 15000/(220*0.6) = 113.6A Determine: (a)the total active power and reactive power taken from the power supply; P = 38.5 + 10 +15 = 63.5kW Q = Kw*tan 1 = 0.7cos = 1.02tan = 38.5*1.02 = 39.27kVAR 2 = 0.6cos = 1.33tan = 15*1.33 = 19.95kVAR = 59.22kVAR (b)the overall power factor; tan = kW/kVAR = 63.5/59.22 = 1.07tan = 0.68cos (c) the total current demand. I = P/V*cos = 63500/(220*0.68) = 424.46A P = 63.5kW PF = 0.68cos Q = 59.22kVAR I = 424.46A

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