Electric Machinery and Power System Fundamentals - Solutions by Stephen Chapman

By Stephen Chapman

* chosen information in a concise, all-in-one structure makes electrical equipment and tool platforms basic* Stresses utilizing useful calculations to unravel difficulties instead of spending prolonged time explaining find out how to truly practice the calculations* References for extra research and calculations

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055) = 1100 Ω At 50 Hz, the resistance will be unaffected but the reactances are reduced in direct proportion to the decrease in frequency. 47 MΩ jXEQ 260 Ω j917 Ω jXM IS ′ + VS′ j495 kΩ 3-19. REQ - Prove that the three-phase system of voltages on the secondary of the Y-∆ transformer shown in Figure 337b lags the three-phase system of voltages on the primary of the transformer by 30°. SOLUTION The figure is reproduced below: 57 + + VB - + VC' VA - VB' + - - - VC VA' + + + + VA VA' - - + + VB VB' - - + + VC VC' - - Assume that the phase voltages on the primary side are given by VA = VφP ∠0° VB = VφP ∠ − 120° VC = VφP ∠120° Then the phase voltages on the secondary side are given by ′ VA = VφS ∠0° ′ VB = VφS ∠ − 120° ′ VC = VφS ∠120° where VφS = VφP / a .

85 PF lagging and 2300 V. (a) What is the voltage at the power source of the system? (b) What is the voltage regulation of the transformer? (c) How efficient is the overall power system? SOLUTION To solve this problem, we will refer the circuit to the secondary (low-voltage) side. 43° V There is a voltage drop of 14 V under these load conditions. 6% 2300 The power supplied to the load is POUT = 90 kW. 37 kW Therefore, the efficiency of the power system is η= 3-5. 37 kW When travelers from the USA and Canada visit Europe, they encounter a different power distribution system.

This is true because the peak flux is higher for the 50 Hz waveform, driving the core further into saturation. 3-6. A 15-kVA 8000/230-V distribution transformer has an impedance referred to the primary of 80 + j300 Ω. The components of the excitation branch referred to the primary side are RC = 350 kΩ and X M = 70 kΩ . 5 Ω, what is the secondary voltage of the transformer? What is the voltage regulation of the transformer? 5 Ω is connected in its place, what is the secondary voltage of the transformer?

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