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Instructions: Read the Instructions carefully. Please Make Sure to conclude all Two Portions of the Design Examination without the Aid of anyone. Use the Provided Space to Show how you arrived at your results. The Use of a Calculator is permitted. Please Be Sure to show all the Process involved in arriving at your Design conclusions. Feel Free to email me about any Questions you may have. You will be given a design Specification that is Unique to you alone. Do Not Compare Notes with Others. Question 1: Design of an AC-DC Converter. The Circuit Below shows a Simple AC-DC Converter that comprises of a full-wave rectifier with an LC filter. Assume that the Load inductance L1 is 22mH and the load Resistor is 33Ω. AC-DC Converter D1 1N3901 D2 1N3901 L2 D4 1N3901 D3 1N3901 L1 R2 V1 120 Vrms 60 Hz 0° T2 C1 Step 1: Acquiring Your Individual Specification: Ripple Voltage of the Filter Circuit: (𝒓𝒓𝒇𝒇𝒍𝒍𝒇𝒇 𝟐𝟐 𝒅𝒅𝒓𝒓𝒅𝒅𝒓𝒓𝒇𝒇𝒍𝒍 𝒇𝒇𝒇𝒇 𝒚𝒚𝒇𝒇𝒚𝒚𝒓𝒓 𝑴𝑴𝑴𝑴𝑴𝑴 𝑰𝑰𝑴𝑴) × 𝟒𝟒 𝟏𝟏𝟏𝟏𝟏𝟏 𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓 𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒓𝒓 (%) = 𝟏𝟏𝟏𝟏 + DC Voltage of the Power Supply 𝑽𝑽𝒅𝒅𝒇𝒇 = 𝟖𝟖 + (𝑳𝑳𝒇𝒇𝒍𝒍𝒇𝒇 𝟐𝟐 𝒅𝒅𝒓𝒓𝒅𝒅𝒓𝒓𝒇𝒇𝒍𝒍 𝒇𝒇𝒇𝒇 𝒚𝒚𝒇𝒇𝒚𝒚𝒓𝒓 𝑴𝑴𝑴𝑴𝑴𝑴 𝑰𝑰𝑴𝑴) × 𝟐𝟐 Record Your Specifications in the Spaces Provided Below 𝟏𝟏𝟏𝟏𝟏𝟏 Vdc = __________________________________________________ Ripple factor, ripple=____________________________________________ Ripple Voltage Vr=____________________________________________ Maximum Value of the Filtered Voltage, Vfmax =_______________________ 1 Minimum Value of the Filtered Voltage, Vfmin=________________________ Peak Value of the Rectified Signal, Vpeak = ____________________________ Step 2: Design the Full-wave Bridge Rectifier and Filter Circuit shown in Figure 1 below Such that Your DC voltage and ripple factor meets the specification above. Note that the Frequency of the of the Input Voltage V1 is 60Hz. Carefully design for the Values of C1 and L1 so that your Specifications are met. Show your calculations below. C1:________________________ L1:_____________________ Step 3: Simulation of The Power Rectifier with Capacitive Filter: Using Multisim or PSPICE, setup the Circuit in Figure 1. To avoid a convergence problem due to a zero-Resistance path formed by L1 and C1 choose a small R1 Value of 100mΩ. Simulate the circuit, plotting the current through the load inductor L2 and R2 and the Voltage across L2 and C2. Print these results over 5 Periods. Step 4: Describe the quality of the Rectification and LC filter by using the results of the simulation from Multisim or Spice to calculate the following parameters (a) Average value of the Output dc Voltage 2 (b) Average value of the Output dc current (c) Output dc power (d) Root-mean-square of value of the output voltage (e) Root-mean-square of value of the output current. (f) Rectification Ratio (g) Form Factor (h) Ripple Factor (i) Crest Factor 3 Question 2: Design of a DC-DC Converter. The Circuit Below shows a basic Buck-Boost Converter with a highly inductive Load. With a Deliberate mistake in the configuration of the Circuit Connection. The Value of L1 is 22mH, C1 is 10uF, R1 is 22Ω and L2 is 10mH. The Duty cycle of the Clock signal V2 is given by the function below: 𝑴𝑴𝒚𝒚𝒇𝒇𝒚𝒚 𝑴𝑴𝒚𝒚𝒇𝒇𝒓𝒓𝒓𝒓, 𝒌𝒌 = 𝟏𝟏. 𝟑𝟑 + (𝑳𝑳𝒇𝒇𝒍𝒍𝒇𝒇 𝟐𝟐 𝒅𝒅𝒓𝒓𝒅𝒅𝒓𝒓𝒇𝒇𝒍𝒍 𝒇𝒇𝒇𝒇 𝒚𝒚𝒇𝒇𝒚𝒚𝒓𝒓 𝑴𝑴𝑴𝑴𝑴𝑴 𝑰𝑰𝑴𝑴) × 𝟏𝟏. 𝟒𝟒 𝟏𝟏𝟏𝟏𝟏𝟏 Your Unique Duty Cycle = ____________________________________ Q1 IRG4BC10U Buck-Boost Converter D1 1N4009 L1 a) Find the mistake in the configuration of the circuit and correct the connection error. b) Calculate the average output voltage C1 10μF R1 22Ω V2 V1 1kHz 12 V 5V 22mH L2 10mH VOUT = ______________________________________ c) Calculate the average inductor Current through L1 4 ∆IL = ________________________________ d) Calculate the Average Inductor current through L1 IL = ___________________________________ e) Calculate the Peak-to-Peak Capacitor Ripple Voltage ∆Vc = _________________________________________ f) Step 3: Simulation of DC-DC Converter: Using Multisim or PSPICE, setup the Buck-boost Regulator shown above. Use the values of the components given above your unique duty cycle k and run the simulation for at least 5 periods after steady state. Plot the values of the inductor Current L1 and Capacitor C1. Compare your results with your calculation g) Explain any discrepancies h) How Does the Inductive Load affect the Output? 5 Question 3: Design of an AC-AC Converter. The Circuit Below consist of an AC Voltage source, a 12:1 step down transformer, 4 Thyristors, 2 inverters, 2 periodic pulses V2 and V4 with frequency of 60Hz, a duty cycle of 0.5, but 45 degrees phase separation. The load is composed of a 1Ω resistor and a 1mH inductor. V1 120 Vrms 60 Hz 0° T1 D1 2N4444 D3 2N4444 AC-AC Converter D4 2N4444 U1A 7416N U2A 7416N V4 R1 1Ω L1 1mH V2 D5 2N4444 a) Determine the steady-state load current at a conduction angle α of 60 degrees ILoad = ________________________________ b) Calculate the average Thyristor Current ID1 = ________________________________ 6 c) Calculate the Root-mean-Square Thyristor Current ID1(rms) = ________________________________ d) Determine the Root-mean-Square output or Load Current IOutput(rms) = ________________________________ Setup the Circuit on Multisim as shown above and run a transient simulation for 5 periods after steady state. Be sure to setup the clocks correctly. Print a plot of the Thyristor Current, Load current and Load Voltage. 7 Question 4: Analysis of a DC-AC Converter. The Circuit Below is a single-phase Full-Bridge DC-AC converter that consist of a 10Volts DC Voltage source, 2 Capacitors, 4 IGBT, 4 Diodes, 2 inverters, 2 periodic pulses V2 and V4 with frequency of 1kHz, a duty cycle of 0.5, but 45 degrees phase separation. The load is composed of a 1Ω resistor and a 1mH inductor. Single-Phase DC-AC Converter V1 10 V C1 1μF C2 1μF D1 D2 1N3901 R1 L1 V2 0 V 3.3 V 0.5msec 1msec V4 0 V 3.3 V 0.5msec 1msec 1Ω D3 1N3901 1mH c) Determine the rms output voltage at the Fundamental frequncy VO(RMS) = ________________________________ d) Calculate the Output Power, Po 8 Po = ________________________________ c) Calculate the Peak current of each of the IGBT and their average current ID1(Peak) = ________________________________ ID1(Ave) = ________________________________ e) Determine the Peak reverse Blocking Voltage of each of the IGBT VBR= ________________________________ f) Calculate The Average Supply current IS= ________________________________ g) Calculate the Total Harmonic Distortion 9 THD = ________________________________ h) Determine the Harmonic Factor DF = ________________________________ Setup the Circuit on Multisim as shown above and run a transient simulation for 5 periods after steady state. Be sure to setup the clocks correctly. Print a plot of the IGB Current, Load current and Load Voltage, V2 and V4. 10

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Step 1: Acquiring Your Individual Specification:

Ripple Voltage of the Filter Circuit:

Ripple Factor = 10 + (51 x4)/100=12.04

DC Voltage of the Power Supply

Vdc = 8 + (51 x 2)/100 = 9.02

Record Your Specifications in the Spaces Provided Below

Vdc = 9.02

Ripple factor, ripple= 12.04%

Ripple Voltage Vr= Vdc x ripple

Vr = 9.02 x 12.04%

Ripple Voltage Vr= 1.086 V

Vmax = Vdc + Vripple

Vmax = 9.02 +1.086 V = 10.106 V

Maximum Value of the Filtered Voltage, Vfmax = 10.106 V

Vmin = 9.02 – 1.086 = 7.934 V

Minimum Value of the Filtered Voltage, Vfmin = 7.934V

Vpeak = (π/2) x Vdc = 1.57079 x 9.02 = 14.1685 V

Peak Value of the Rectified Signal, Vpeak = 14.1685 V...

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