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Main points of this exam paper are: Power Factor Correction, Alternating Current, Harmonic Frequencies, Power Factor, Star Connection, Delta Connection, Potential Fault Currents, Differentiation, Rotor Reactance, Motor Efficiency
Typology: Exams
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Instructions Answer any FIVE questions. All questions carry equal marks. In markings scripts, the examiner will take account of clarity of expression and communication skills.
Examiners: Mr. J. Buckley Mr. M. Hennessy Prof. E. McQuade
Q1. (a) “All electrical equipment using alternating current is designed to use a voltage with a clean and regular sine wave. However, in present day networks, this type of curve is extremely rare. Harmonic frequencies create distortions in the sine wave, causing interference to equipment connected to the network”.
Discuss the above in the context of the common harmonies which stress networks. (10 marks)
(b) An e.m.f in which the amplitude of the fundamental (frequency 50 Hz) is 500 volts, and which contains a 21 st^ harmonic having an amplitude of 1 per cent of the fundamental, exists in a circuit in which R = 2 ohms, L = 0.115 henry, and C = 0.2 microfarad. Calculate the amplitude of (i) the harmonic current and the harmonic p.d. across the capacitor (ii) the fundamental current. (10 marks)
Q2. (a) Discuss the importance of power factor correction in a.c. systems. (10 marks)
(b) A 415V, 50HZ, three-phase motor takes a line current of 15A when operating at a lagging power factor of 0.65. When a capacitor is connected across the motor terminals, the line current is reduced to 11.5A. Calculate the kVAr rating and the capacitance per phase of the capacitor bank for: (a) star connection and (b) delta connection. Find also the new overall power factor. (10 marks)
Q3. Based on the information below calculate the potential fault currents on the secondary side (3.3kV side) of transforms T 1 , T 2 and T 3. (20 marks)
Q4. (a) Using differentiation or other techniques determine the slip for maximum torque in a slip ring induction motor with rotor resistance R 2 and rotor reactance (at standstill) X 2. (8 marks)
(b) A 400V, 6-pole, 50Hz, 3-phase induction motor has a rotor resistance of 0.15 ohm/phase and a rotor reactance at standstill of 0.7 ohms per phase. The rotor is star connected and at standstill the emf between sliprings is 238V. Find: (i) The gross torque at the full load slip of 5 per cent. (ii) The full load power output if friction and windage losses are 500 Watts. (iii) The maximum torque and the speed at which it occurs. (iv) The motor efficiency at full load.
You may assume: Stator losses are 852 Watts (12 marks)
Q7. (a) Explain why reverse active current protection and reverse reactive current protection are necessary in an industrial installation which is fed in parallel by the ESB and an onsite generator. (10 marks)
(b) Describe an experiment you carried out in the laboratory as part of your part year’s work where you measured reverse reactive current. What was the function of this experiment and discuss (with graphical support) the results you got. (10 marks)