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Material Type: Assignment; Class: Power Electronics; Subject: Electrical and Computer Engr; University: University of Illinois - Urbana-Champaign; Term: Fall 2008;
Typology: Assignments
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Assignment 6, ECE 464, FS 08 Name:__________________________
Due: Nov. 10, 2008; 9:00 AM READING: Chapter 6 Score:__________
6.1) A single-phase, full-bridge inverter has a switching frequency of 100 Hz and a DC voltage of 200 V. The inverter is not using pulse-width modulation; instead, it is just producing a square-wave output into a series RLC load. If the resistance of the load is 3 ohms, the inductance is 10 mH, and the capacitance is chosen so that the resonant frequency is 10 Hz, then plot the steady-state current waveform in the load.
6.2) A single-phase, full-bridge, pulse-width modulated inverter is used to drive an RL load. The DC voltage is 310 V. Assume the carrier is a triangle wave that varies, from a minimum of zero and a maximum of one, with a relatively high frequency. Choose a duty cycle command that will produce a load voltage of 150 Vrms at 45 Hz.
6.3) Repeat 6.2) for a three-phase inverter with a wye-connected load. The output voltage should instead be 200 Vrms, 60 Hz, line-to-line.
6.4) A single-phase, pulse-width modulated, full-bridge inverter has IGBTs with parallel diodes for switches. Assume the voltage drop across the switch is 1.5 V when either the diode or IGBT conducts (in reality, their voltage drops are a little different). If the DC voltage into the converter is 400 V, then what is the efficiency of the inverter? If the DC voltage is 800 V, then what is the efficiency? What if the DC voltage is 48 V?
6.5) The solar inverter sketched below consists of three main parts: a boost converter that tracks the maximum power, an inverter that produces PWM AC, and a 60-Hz transformer that steps up the voltage to the power grid. The inverter connects a single PV panel to The entire solar inverter needs to be 96% efficient at full power (as shown).
a) If the transformer is 99% efficient, and the boost converter is 98% efficient, then what must the efficiency of the PWM inverter be? Is this reasonable given the answers in 6.4)?
b) Write down the expression for the instantaneous output power of the solar inverter. Assuming solar inverter is essentially 100% efficient, and the DC voltage from the PV panel is essentially constant, what current must be filtered by the capacitor?
Boost Converter
Full-Bridge 1-phase PWM Inverter
60-Hz Transformer
Panel
~24 VDC ~48 VDC ~35 Vrms 60 Hz
Grid 220Vrms 60 Hz
Solar Inverter (^) 1 Arms 60 Hz