ELE 754 Midterm: ELE 754 Fall 2005 Midterm Solution

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Answer all four questions: show details of your derivations/calculations. Consider the buck converter with controller shown in figure 1. Assume that the dc input voltage is 100v. The filter inductance l is 1. 5mh and filter capacitance c is 1000uf. The duty cycle is adjusted by the controller to keep the output voltage constant at 24v ( = ref: v switching frequency is 1khz. Answer the following questions when the converter operates in steady state. refv. 1. 1) find the boundary current and determine the operation mode when the converter outputs. 1. 2) calculate the duty cycle, d when the converter outputs 20% of rated load current. 1. 3) calculate the output ripple voltage when the load is full load. Continuous current mode when the load is full load. 10 di , pk when the load is full load. 1. 5) if the load draws rated load current, sketch to scale the following waveforms in two cycles.

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