Question

An ideal chopper operates at a frequency of 500 Hz. It is supplied from a dc source E = 60 V. The load consists of a 3-12. The inductance is 9-mH. Assume the diode is ideal and the battery is lossless. Assume periodic steady state and CCM. (2 points) Part a): Draw the circuit diagram. (3 points) Part b): Derive the expression for the load current, i.(t). (5 points) Part c): For tonitoff = 1/1, calculate and draw the current waveform and calculate the mean load voltage and current.

Answer 1

CHobber Sopitch. Given if-50042 R= 3R. Le Smit I o During CH-ON; 308 cct is waveforma Gov FO Peni eTone Toffy int a 800) + (lo(min- loro a transient- comme Imox.! lat: 60 + (Sring toit). 60 + (Amino During a bouting I ech-onge Free y ) Diode steady Saare 1- -- max I mint 3 lolta 2011- & HIJ & I min. ette at & Ton lo(t)= Imax (at steady state, -max = 20 (1 ) + Imin. To a 3 msec I min.

During ch-Off & During free wheeling acto it is. Imax. et to at ka Toft | Pet - Toft/ Smin Imax.e اسلم oni zlon z LEO tona Toff Current waveform is in previous page. Vo mean voltage) = ago 0.5X60 e zou Io (avg sorgt) - To 2 30. - 10 A Ton a 10 1 Tom Tone 03 Ton't traff > in voltage = av = 0.8x Go = 48v. -o (mean current) i t ton-se- Tafst 24K, Inn - Imin X