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Collins

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Submitted By benyagol
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Tutorial EEC, Block 2, January 2014

SILICON CONTROLLED RECTIFIERS (SCR) or THYRISTORS

1. Consider a half wave rectifier using a diode is connected to a 240 V (rms), 50 Hz supply. Neglect the voltage drop across the diode. Derive the mean load voltage for two cases:
(i) when the load is a pure resistor of 10 Ω. (108 V)
V mean =(240√2)/π = 339.4112/ π =108.04

(ii) when the load has a 10 Ω resistor connected in series with a 0.1 H inductance. Assume that the current continues up until ωt=30 degrees. (100.8 V)
Hence calculate the mean load current for each case. (10.8 A; 3.06 A)

2. Using a single phase thyristor controlled half wave circuit with a commutating diode to supply a heavily inductive load of up to 15A from a 240 V (rms) supply, determine the mean load voltage for firing delay angles of 0 degrees, 90 degrees and 180 degrees. Specify the required voltage ratings of the thyristor and diode. Neglect the voltage drop across the thyristor and the diode. (108 V; 54 V; 0 V)
(Peak-forward-voltage and peak-inverse-voltage of thyristor is 339.4 V; Peak-inverse-voltage of the diode is 339.4 V)

V mean ={(120√2)/π}* (1+ cosα)
Hence
2/π 240√2 cos α
76.39*1.41 cos 0
=107.71

2/π 240√2 cos α
76.39* √(2 cos 90 -
=54

2/π 240√2 cos α -2
76.39*1.41 cos 180
= 0

Peak voltage across each thyristor: Vmax= 240√2
= 339.41112

3. A load of 10 Ω resistance, 0.1 H inductance, is supplied from a 7.07 V (rms), 50 Hz ac supply via a thyristor controlled single phase half wave rectifier using a commutating diode. If the thyristor is fired at a delay angle of 90 degrees, determine by a graphical method the waveform of the current during the first two cycles of operation. Neglect device volt-drops.

INDUCTION MOTORS

1. A 3 φ 4 pole 50 hz induction motor runs at 1460 r.p.m. find its %age slip.
(2.6 %)

2. A 12

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