6316ENG: Power Electronics and Machine Drives - Engineering Assignment Help

Assignment Task:

1 Question 1a 

From Figure 4 it can be seen that the current through the inductor never reaches zero meaning it is operating in continuous mode. The current does however fluctuate which is due to the switching of the MOSFET. When the switch is closed the inductor is connected to a 9V DC supply and the current charges to its maximum value. When the switch opens the current through the inductor decreases and the inductor tries to oppose this change by discharging through the circuit. Due to this, the voltage measured across the inductor reverses polarity and reaches roughly 15V as seen in the voltage waveform. While this is happening the output current steadily decreases until it reaches 10A at which point the switch closes and the inductor begins charging up again and the cycle repeats

Question 1b 

Figure 5 shows that the voltage across the load is roughly constant at 24V (this is the DC supply of 9V in series with the inductor 15V for a total effective input voltage of 24V ) with only a 0.5V ripple. The current through the inductor (ID) is greater than the current through the capacitor (IC) as the current from the inductor is split between the capacitor and load. It can also be seen that the inductor current reduces from 15A to 10A as was seen in Figure 4. 

3.3 Question 2 

Figures 6, 7 and 8 show the converter operating in continuous, boundary and discontinuous modes respectively. Figure 6 shows the current stays between 10A and 15A which is consistent with continuous mode. Figure 7 shows the current touches zero which is consistent with boundary mode. Figure 8 shows the current touches zero and then stays zero which is consistent with discontinuous mode. In discontinuous mode the inductor completely discharges while in continuous mode the inductor never fully discharges and in boundary condition the inductor only discharges for an instant before recharging. 

In contrast to the differing current waveforms the voltage waveforms are the same for continuous and boundary conditions. With the switch closed the inductor is exposed to a 9V source and when the switch opens the inductor acts as a 15V source in series with the 9V source increasing the effective input voltage as seen by the load and capacitor. In discontinuous mode this changes as seen in Figure 8. The inductor is still exposed to a 9V source when the switch is closed but when the switch opens the inductor now acts as a 25V source resulting in a higher input voltage as seen by the load and capacitor. 

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