DIPLOMA IN ELECTRICAL ENGINEERING LEVEL III POWER ELECTRONICS DRAFT 1 PREP BY: Hughes Chifulwa QUESTION 1 a) A single-phase fully controlled bridge rectifier is supplied at 120V, determine the average voltage drop for firing angle of 30˚. Assume each thyristor having a voltage drop of 0.78V. [5 marks] b) Find the displacement factor for a fully controlled converter corresponding to a firing angle of λ = 45˚. [5 marks] c) Determine the power factor of a single-phase fully-converter with highly inductive load for α = 45˚. [5 marks] d) Explain the reason why the power factor of semi-converters is better than full-converters. [5 marks] QUESTION 2 In details, explain the following SCR protection methods; a) b) dv/dt protection c) Over-current protection d) Over-voltage protection [5 marks each] QUESTION 3 a) In a step down Chopper, the supply voltage is 250V, the switching frequency is 300Hz, K=0.6, R=5Ω, L=5mH and Eb=100V. find; i. The average output current of a Chopper[5 marks] ii. The maximum current[4 marks] iii. The minimum current of steady state output current[3 marks] b) For a step-up chopper, it is required to deliver a load voltage of 300V from 100V dc source. If the non-condition time of SCR is 100µs, find out the required Pulse Width. (ton) [8 marks] QUESTION 4 Consider the step-down converter circuit shown below with a purely capacitive snubber having Cs=Cs1. Assume Io=25A, an input voltage Vd=200V and a reverserecovery time, trr=0.2µs for the free-wheeling diode; a) Calculate the reduction in the turn-off losses in the BJT due to the use of the snubber capacitor. [Assume a switching frequency of 20kHz and a current fall time tfi of 0.4µs. [10 marks] b) Calculate the increase in BJT losses during turn-on due to Cs. [Assume that during the turn-on dic/dt=50A/µs. [10 marks] QUESTION 5 In a single-phase full-bridge PWM inverter, the input dc voltage varies in a range of 295V – 325V because of low distortion required in the output Vo, ma<1.0. a) Determine the highest Vo1 that can be obtained and stamped on its name plate as its voltage rating. [5 marks] b) Its nameplate volt-ampere rating is specified as 2000VA, that is, Vo19max)Io(max) =2000VA, where io is assumed to be sinusoidal. Calculate the combined switch utilization ratio when the inverter is supplying its rated volt-amperes. [15 marks] QUESTION 6 a) The small-signal gate-source capacitance of a MOSFET decreases as VGS is increased from zero volts. For VGS˃VGS(th), the small signal capacitance is constant. Qualitatively explain the reason for this behavior. [6 marks] b) An n-channel MOSFET is to be used in a step-down converter circuit. The dc voltage Vd=300V, the load current Io=10A,the free-wheeling diode is ideal, and the MOSFET is driven by a 15-V (base to peak) square wave (50% duty cycle and zero dc value) in series with 50Ω. The MOSFET characteristics are; VGS(th)=4V, ID=10A at VGS=7V, Cgs=1000pF, Cgd=150pF and rDS(on)=0.5Ω. i. Sketch and dimension VDS(t) and iD(t). [10 marks] ii. Estimate the power dissipation at a switching frequency of 20kHz. [4 marks] QUESTION 7 a) Explain the difference in operation between the Astable Multivibrator and Monostable multivibrator. Include circuit diagrams in you explanation. [10 marks] b) A 555 timer configured to run in the astable mode is shown below. Determine; i. The frequency of the output[5 marks] ii. The duty cycle[5 marks] QUESTION 8 A 230V, 50Hz supply is connected to a 1-Phase transformer which feeds a diode bridge rectifier. Primary to secondary turns ratio for transformer is 0.5 and load RL has a ripple free current Io = 10A. Determine; [8marks] a) The average value of output voltage[2marks] b) Input distorting factor[2marks] c) Input displacement factor[2marks] d) Input power factor[2marks] e) Input current harmonic factor (or THD) [2marks] f) Crest factor[2marks]