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Main points of this exam paper are: Capacitive Circuit, Switchboard, Distribution Transformer, Short Circuit, Primary Voltage, Secondary Voltage, Percentage Impedance, Switchfuse, Resistive Heating Load, Motive Power Load
Typology: Exams
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(NFQ – Level 7)
Instructions Answer any FIVE questions. All questions carry equal marks.
Examiners: Mr. J. Buckley Mr. M. Ahern Mr. K. O Connell
Q1. (a) “When a complex current wave exists in a circuit, each of the components harmonics can be looked upon as acting independently”.
(i) Discuss this in the context of the following circuits: (a) An inductive circuit in which the resistance can be regarded as negligible. (b) A capacitive circuit in which the resistance can be regarded as negligible. (ii) Derive an expression for the current value of the third, fifth and seventh harmonic for (a) and (b) above. The expression to express the current in terms of the fundamental reactance x 1 and the respective harmonic e.m.f. E 3 , E 5 and E 7. (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. ( marks)
Q2. A switchboard is fed via a 1500 kVA distribution transformer as shown in Fig. 1 attached. (a) Calculate the maximum short circuit current that can arise in the system. (6 marks) (b) Calculate the short circuit current that would arise in the event of a short circuit occurring at the entry to the cable box of the 250 kW squirrel cage motor. You may assume: (i) the primary voltage is 12 kV, 3-phase, 50 Hz (ii) the secondary voltage is 500 V, 3-phase, 50 Hz (iii) the percentage impedance of the transformer is 5% (iv) the impedance of the 800 A switchfuse is (0.651 x 10 -3^ + j0)Ω (v) the impedance of the 350 A starter is (1.341 x 10 -3^ +j0) Ω (vi) the impedance of the 2000 A ACB is (0.032 x 10 -3^ + j0) Ω. (14 marks)
Q3. The electrical loads taken from a 380 V, 3φ, 50 Hz, A.C. supply consists of: (i) A 3φ resistive heating load of 15 kW; (ii) A 3φ motive power load of 15 kW; at a P.F. of 0.8 lagging; (iii) A 3φ lighting load of 20 kW at P.F. 0.9 lagging; (iv) A 1φ load (R phase) 30 A @ P.F. 0.9 lagging; (v) A 1φ load (s phase) 20 A @ P.F. 0.8 lagging.
Q6. (a) With the aid of a neat sketch outline a method for connecting the secondary side of two 1000 kVA 10 kV/400 V distribution transformers to two sets of 400 V bus-bars such that under normal working conditions, the transformers are not connected in parallel, but in the event of the failure of one transformer, the remaining transformer may be connected to the two sets of bus-bars. (6 marks) (b) Two 1000 kVA oil immersed distribution transformers parallel feed a distribution system, via two 400 V 3φ 50 Hz air circuit breakers. The transformer has dual primaries 20 kV/10 kV. The secondary voltage is 400 V 3φ 50 Hz and the percentage impedance is 4.5%. (i) Calculate the maximum prospective short circuit current that can occur on the low tension (400 V) side. (ii) Calculate the full load current for each of the 400 V circuit breakers. (iii) Calculate the breaking capacity of each of the 400 V circuit breakers. (8 marks) (c) Discuss the conditions necessary for satisfactory operation of transformers in parallel. (6 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 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)