Mathematically derive the inductor current ripple and capacitor voltage ripple as a function of Vin, Vo,...
Mathematically derive the inductor current ripple and capacitor voltage ripple as a function of Vin, Vo, L, fs and etc. for INTERLEAVED BOOST CONVERTER (absolute ripple and relative ripple)
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Mathematically derive the inductor current ripple and capacitor
voltage ripple as a function of Vin, Vo,...
In a boost converter, Vin = 40 V, D= 0.6, Rload = 25 ohm, L =...
In a boost converter, Vin = 40 V, D= 0.6, Rload = 25 ohm, L = 65 H, fs = 40 kHz, and C is large enough to limit voltage ripple. (a) Determine the output voltage (b) Determine the average, minimum and maximum inductor current and plot the inductor current. (c) Determine the average current in the diode
In a SEPIC converter, assume the ripple in the inductor currents and the capacitor voltage to be ...
In a SEPIC converter, assume the ripple in the inductor currents and the capacitor voltage to be zero. This SEPIC converter is operating in a DC steady state under the following conditions: b = 10 V, D = 0.333, Po = 50 W, and = 200 kHz. Assume ideal components. (a) Calculate Ts DTs (b) Calculate Vn and Ii in/ o (c) Calculate Vc, lLİ 2X,i, VL2
In a SEPIC converter, assume the ripple in the inductor currents and the...
Problem 2.2 Using the same methods shown in lecture, mathematically derive: (a) The voltage conversion ratio equat...
Problem 2.2 Using the same methods shown in lecture, mathematically derive: (a) The voltage conversion ratio equationwhen the Buck-Boost is operating in Discontinuous Conduction Mode (DCM). Your answer should be a function of D, Ro, T, and L (b) The value of the inductor discharge duty cycle coefficient; D1.Your answer should be a function of Ro, T, and L. Hint 1: Other than assessing the current waveforms, you will also need to apply the assumption of 100% efficiency from Problem...
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1. Analysis and design of a buck-boost converter: A buck-boost converter is illustrated in Fig. 1(a),
and a practical implementation using a transistor and diode is shown in Fig. 1(b).
+
(a)
Vg
v
Figure 1 Buck–boost converter
of Problem 1: (a) ideal converter
circuit, (b) implementation using
MOSFET and diode.
–
Q1
D1
(b) +
Vg
v
Page 2
iL
(t) + vL...
Problem 2.2 Using the same methods shown in lecture, mathematically derive: (a) The voltage conversion ratio...
Problem 2.2 Using the same methods shown in lecture, mathematically derive: (a) The voltage conversion ratio equationwhen the Buck-Boost is operating in Discontinuous Conduction Mode (DCM). Your answer should be a function of D, Ro, T, and L (b) The value of the inductor discharge duty cycle coefficient; D1.Your answer should be a function of Ro, T, and L. Hint 1: Other than assessing the current waveforms, you will also need to apply the assumption of 100% efficiency from Problem...
18 marks load with a power of 25.6 W.The cy f is 40kHz. sign a buck-boost converter to produce an output voltage of 16V a put voltage ripple must not exceed 1%. The dc input voltage is 24V. Th e swit...
18 marks load with a power of 25.6 W.The cy f is 40kHz. sign a buck-boost converter to produce an output voltage of 16V a put voltage ripple must not exceed 1%. The dc input voltage is 24V. Th e switching frequen 121 a) the duty ratio b) Find the size of the inductor so that the maximum inductor current c) the size of the capacitor d) Assume L=1 00μH and the switching frequency fis variable. 141 121 Lma 10A...
1) For a buck-boost converter, it is desired to have a peak-peak capacitor ripple (vc.pP) of 50 m...
1) For a buck-boost converter, it is desired to have a peak-peak capacitor ripple (vc.pP) of 50 mV fora converter operating at 100 kHz and with a output current of iOUTAVG 10 A. Assume the input is between Total: 6 pts) (3 pts) (3 pts) VIN= [10, 22.5] and the output is fixed at-15 V. Select (and prove) the capacitance C to accomplish this. Verify your result with using PSIM (assume L = 200 μH). a. b. - VD1 21...
****Please ALL answers questions with complete steps.**** 1. Analysis and design of a buck-boost converter. A...
****Please ALL answers questions with complete
steps.****
1. Analysis and design of a buck-boost converter. A buck-boost converter is illustrated below. + licit) + reee c= R { v(t) A practical implementation using a MOSFET and diode is illustrated below. D + Voi(t) – H + iqi(t) IT int) lic(t) iz(t) + LE vi(t) c R v(t) For this problem, you must employ the methods of inductor volt-second balance, capacitor charge balance, and the small ripple approximation as discussed in...
a buck converter with the following parameters: Vin= 50V, D=0.4, L=270μH, C=1μF, f=25kHz, R=20Ω a) Draw...
a buck converter with the following parameters: Vin= 50V, D=0.4, L=270μH, C=1μF, f=25kHz, R=20Ω a) Draw the waveform of the output voltage, Inductor current, the voltage on the diode and MOSFET. Measure the ripple in the output voltage and Inductor current. b) Increase the switching frequency (choose any three different values) while keeping other parameters fixed (Vin= 50V, D=0.4, L=270μH, C=1μF, R=20Ω) Draw the waveform of the output voltage and Inductor current. Measure the ripple in the output voltage and...
A Buck-boost converter has an output voltage 100 V, output power 60 W and input voltage...
A Buck-boost converter has an output voltage 100 V, output power 60 W and input voltage 12 V. Switching frequency is 15 kHz. Calculate duty ratios for the switch and the diode. Find values for the inductor L and capacitor C, when the allowed output voltage ripple is ±0.15 % and the inductor current ripple is ±1 % (of the average value). If the on-time of the switch has an inaccuracy of ±50 ns, what is the new output voltage...
In a SEPIC converter, assume the ripple in the inductor currents and the capacitor voltage to be zero. This SEPIC converter is operating in a DC steady state under the following conditions: b = 10 V, D = 0.333, Po = 50 W, and = 200 kHz. Assume ideal components. (a) Calculate Ts DTs (b) Calculate Vn and Ii in/ o (c) Calculate Vc, lLİ 2X,i, VL2
In a SEPIC converter, assume the ripple in the inductor currents and the...
Problem 2.2 Using the same methods shown in lecture, mathematically derive: (a) The voltage conversion ratio equationwhen the Buck-Boost is operating in Discontinuous Conduction Mode (DCM). Your answer should be a function of D, Ro, T, and L (b) The value of the inductor discharge duty cycle coefficient; D1.Your answer should be a function of Ro, T, and L. Hint 1: Other than assessing the current waveforms, you will also need to apply the assumption of 100% efficiency from Problem...
Problem 2.2 Using the same methods shown in lecture, mathematically derive: (a) The voltage conversion ratio equationwhen the Buck-Boost is operating in Discontinuous Conduction Mode (DCM). Your answer should be a function of D, Ro, T, and L (b) The value of the inductor discharge duty cycle coefficient; D1.Your answer should be a function of Ro, T, and L. Hint 1: Other than assessing the current waveforms, you will also need to apply the assumption of 100% efficiency from Problem...
18 marks load with a power of 25.6 W.The cy f is 40kHz. sign a buck-boost converter to produce an output voltage of 16V a put voltage ripple must not exceed 1%. The dc input voltage is 24V. Th e switching frequen 121 a) the duty ratio b) Find the size of the inductor so that the maximum inductor current c) the size of the capacitor d) Assume L=1 00μH and the switching frequency fis variable. 141 121 Lma 10A...
1) For a buck-boost converter, it is desired to have a peak-peak capacitor ripple (vc.pP) of 50 mV fora converter operating at 100 kHz and with a output current of iOUTAVG 10 A. Assume the input is between Total: 6 pts) (3 pts) (3 pts) VIN= [10, 22.5] and the output is fixed at-15 V. Select (and prove) the capacitance C to accomplish this. Verify your result with using PSIM (assume L = 200 μH). a. b. - VD1 21...
****Please ALL answers questions with complete
steps.****
1. Analysis and design of a buck-boost converter. A buck-boost converter is illustrated below. + licit) + reee c= R { v(t) A practical implementation using a MOSFET and diode is illustrated below. D + Voi(t) – H + iqi(t) IT int) lic(t) iz(t) + LE vi(t) c R v(t) For this problem, you must employ the methods of inductor volt-second balance, capacitor charge balance, and the small ripple approximation as discussed in...
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