ELE 754 Midterm: ELE 754 Fall 2004 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 150v. The duty cycle is adjusted by the controller to keep the output voltage constant at 50v. 1. 1) calculate the inductance if the boundary current happens when the load is 10% of the rated load. 1. 2) choose the capacitance if the output ripple voltage is less than 200mv when the load is rated load. Solution: at full load, the converter is running in continuous current mode. If the inductance l is 2mh and the load is 20% of the rated load, answer questions 1. 3) ~ 1. 5) Hint: determine the operation mode before calculating the duty cycle. 1. 4) calculate the peak current in switch, di , pk. Indicate on each waveform the maximum and minimum values.