A balanced Δ-connected load has an impedance of 4 + j3 Ω per phase. It is supplied from a balanced three-phase source with a line-to-line voltage of 690 V. Find the magnitude of the phase current Iph flowing through each impedance.
Three-phase power worksheet with answers
A balanced Δ-connected load has an impedance of 24 + j7 Ω per phase. It is supplied from a balanced three-phase source with a line-to-line voltage of 400 V. Find the magnitude of the line current IL.
A three-phase induction motor delivers 11 kW of mechanical output power at full load. At this load its efficiency is 91% and its power factor is 0.9 lagging. The supply has a line-to-line voltage of 480 V. Find the line current IL.
A balanced three-phase load draws a line current of 60 A from a supply with a line-to-line voltage of 690 V. The power factor is 0.95 lagging. Find the total real power P drawn by the load in kW.
A balanced three-phase load takes 80 kW at a power factor of 0.7 lagging from a 690 V (line-to-line), 60 Hz supply. A three-phase capacitor bank in parallel with the load must raise the overall power factor to 0.95 lagging. The real power stays the same. The capacitors are connected in Y. Find the capacitance Cph of each capacitor in µF.
A balanced three-phase load takes 150 kW at a power factor of 0.8 lagging from a 480 V (line-to-line), 60 Hz supply. A three-phase capacitor bank in parallel with the load must raise the overall power factor to 0.9 lagging. The real power stays the same. Find the total reactive power QC the capacitor bank must supply, in kvar.
Answer key
- 1. Iph = 138 A
- 2. IL = 27.71 A
- 3. IL = 16.15 A
- 4. P = 68.12 kW
- 5. Cph = 308.2 µF
- 6. QC = 39.85 kvar
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