Fundamentals of Energy Systems HW 2 Q1

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What is the theory behind this bell when correctly wired; i.e., how does it work?

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type (o) bT S+αT Profational controller a = b = 5, T-La |kp| 50 5+50 kp=20,50,70 ② type (1) bT 5(stat) a=b=5,T= 1 ✓ KT 5 SC5+5 kp=20, 50, 70 (Find Wny, ess for type (a) and (1))

2. Write an expression of the two sinusoidal voltage waveforms whose effective value is 7.071 V and whose phase difference is 90 degrees. Draw the phasor of those two sinusoidal waveforms in the complex plane.

2. Determine developed torque and shaft torque of 220-V, 4-pole series motor with 800 conductors wave-connected supplying a load of 8.2kW by taking 45A from the mains. The flux per pole is 25 mWb and its armature circuit resistance is 0.60. Ans.[143.25 Nm, 135.25 Nm]

7. resistance): The practical capacitor can be simplified as the model below (ESR: equivalent series 10 μF ESR W From a datasheet, it is known that a 10 µF aluminum electrolytic capacitor has an impedance of 2800 mOhm at the 100 kHz testing condition. (1) Calculate the ESR under the above testing condition; (2) Calculate the phase shift between the voltage and current at 100 Hz and 10k Hz sinusoidal excitation conditions.