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# samplemid1 - ECE433-Exam 1 March 1 2010 Name PUID l—a For...

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Unformatted text preview: ECE433-Exam 1, March 1, 2010 Name: PUID: l—a) For an ideal buck converter, derive the equation for the output voltage ripple and express it in terms of duty cycle, switching frequency, capacitance, and output voltage (8 points). a? it <LG>TS :: a g 041% 1st g 2 1-b) For an ideal boost converter, derive the value for Lm-t in terms of duty cycle, switching frequency, and load, at the boundary of DCM and CCM (6 points). "it V65 ﬂ/é’jﬂ, 1-c Fig. 1 shows a source and load that someone desires to be connected. Show the switch matrix for the system and determine the conditions necessary to satisfy KCL and KVL. Write the switch state matrix and propose a switching strategy. (6 pts) citor M bke wwéfage Swarm (WM? be Marl?) ‘ CH fill (J M: izz+iaz<i [I ajdl” 0 I kUiWMx-é ailltq}12>l0T?/Z«f\$2/)I%QS 0 t ’V g - 2) For the given converter shown in Fig. 2, V9 = 24V,L = 10mH,C = 10,11F,R = 109,1) = 0.5. r “ 91/) L62, ((0710) Fig. 2 a) Assume that the diode and switch have a voltage drop of VDonand VTon during the conduction, respectively. Determine the voltage conversion ratio as a function of VDon, Vron , and D (4 points). b) Assume that VDon = 1V and VTon = 1V, plot the voltage and current of each device, i.e. switch, diode, inductor, and capacitor in steady-state. Determine ML and AVC and include them on the graphs (for each graph show the magnitude and time information) (12 points). c) Determine the efficiency of the converter under the condition of part b) (4 points). a) 9 654,073 3 QQGBD‘ :OY-F (UL : \C’ [47m \ _» ‘_ L,,‘l)0wt~2,,m C“ ”if” 7 6 b) «013:0 ,4; 0154,97?) +C\’D)’E§-CIL’§%) :0 PM , (Wat-CM) n: /. ' ﬂ ‘ m ‘ P 4Vdn‘ Lm> me mu 9T5 ‘ ‘ T : 01L 4L&‘>:Jﬁj LQIM‘JﬁQTL OS) 2 1/ WM , M, RV}. Oil, ﬂlfm ' D 3) Extra Credit Question (10 points) An ideal interleaved buck converter is shown in Fig. 3. This is equivalent to parallel combination of two buck converters to a common capacitor and load. The switches Q1 and Q2 operate 180°out of phase with the same switching frequency and the same duty cycle. The control signals of the switches are shown in Fig. 3. a) Determine the voltage conversion ratio M (D) = Vow/Vin . b) Determine the DC component of the inductor currents and also inductor current ripples. Plot the inductor currents. c) Determine the amplitude of the output voltage ripple and compare it with that of a conventional buck converter you derived in problem 1-a). What is the advantage of an interleaved buck converter over a conventional buck converter? 5 . (ﬂaw/5310A!” Fig.3 I" ’ 4w.»— cm goryaﬁh’ W) +LI’0)”R-(4fazf» :0 ‘ S ‘ @2005”? 4®L1>T5 :0 a 4.310 73w;- ,z/M) 741mg. («LE-2H) :q “PM ‘ *1“ “if “iii am be mgmam a DVM’VS Smﬂle bug/L (mom/L6H A5 a ram 4% gem/WCMW MM I23 cpxwml Mg a SWIM VFW/e, % Hm Watzﬂe ﬂop/e a3 #72 WW WW be Xmaer. QL Mare Wm M WW6“ (4/1/06 IMHW 5 ‘Tkenﬂh ﬂaw: Sh'ﬂjf MIL/65h #16 SLMMeX Wow 1% 3600 where n {s 'er mmbcraﬁ mt/eﬁfelff M 7% [Maud dmﬁgmrcgm Mapmvﬂ (an be plane ﬁéwﬁx Bazaﬂ (MWQZX 55/684- HoMWOf/U M2986 6011 MM teal/6% 361951? anerfer }‘ ...
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