below
USING DUTY RATIO 0.5.
Part 2
Part 1
Part 2: RIPPLE FACTOR OF THE OUTPUT CURRENT AND VOLTAGE 1. By remaining the switching frequency, fw, set at 5 kHz, run the simulation and adjust the duty ratio to obtain an output voltage of 20 V. a) Capture Duty ratio, D, inductor current ripple, All, output voltage ripple, Ave, using Scope from 0.029 s until 0.03 s: [5 marks] b) Record all the data measurements obtained in Table 3 which fulfill the requirement of fox = 5 kHz, and Vo = 20V. [5 marks] Table 3: Data measurements 5000 Switching Frequency (Hz) Duty Ratio, D Output Voltage, V. (V) Output current, 1. (A) Inductor current ripple, AIL (A) Output voltage ripple, AV. (V)
2. With the Duty ratio, D, remains unchanged, repeat the simulation and obtain all the measurements for each switching frequency given in Table 4. Note: Each switching frequency should be updated in PWM Generator block and all the Mean measurement blocks (fundamental frequency) to obtain valid data. Table 4: Data measurements of varying switching frequency. 3000 2000 1500 800 Switching Frequency (Hz) Output Voltage, V. (V) Output current, I. (A) Inductor current ripple, AIL (A) Output voltage ripple, AV. (V) [16 marks] 3. For switching frequency set at 800 Hz, capture Duty ratio, D, inductor current ripple, Ail, output voltage ripple, Ave, using Scope from 0.025 s until 0.03 s, discuss the captured results in brief. [4 marks]
PART 2: 1. Calculate the theoretical minimum switching frequency, tenin, to maintain a continuous current mode. Shows all calculation steps. [5 marks] 2. Evaluate the estimated minimum switching frequency, Imir, through your simulation model. Capture Duty ratio, D, inductor current ripple, Ail, output voltage ripple, Ave, using Scope from 0.025 s until 0.03 s, discuss the captured results in brief. [5 marks)
Anonymous answered this 73 answers Was this answer helpful? 150 0 Hi Dear Student, As requested I have simulated the DC Buck Converter as per the given data Rate answer here. Answer 1 Simulation Procedure 1. Open MATLAB, goto new Simulink Blank Model 2. Add the required Blocks from the Simulink library Blocks used • DC Voltage Source • MOSFET Switch • Diode • Series RLC branch for R, L, C • Current Measurement • Voltage Measurement • Goto and From Blocks • Display and Scope • Pulse Generator Block • PowerGUI 3. Set the Values as per the data given in table 1 4. Now change the Duty Cycle to observe the results on displays and scope.
ANSWER 2 SIMULATION RESULTS VALUES OBTAINED FROM MATLAB SIMULATION FOR TABLE 2 0 0.2 0.4 0.5 0.6 0.8 1.0 0 0.0559 0.1831 | 0.274 0.3831 0.6555 0.9811 Duty Ratio (D) Switch current, Isw (A) Output Voltage, V. (V) Output current, 1. (A) 0 9.955 19.97 25 30.02 40.04 49.98 0 0.1991 0.3994 0.4999 0.6004|0.80080.9901
0.274 Isw Х Current (Amps) lout 0.4999 V_L Duty Cycle 50% Current (Amps) Vout 25 Voltage (Volts) Isw M lout 5KHz D=50% 0 000 12.5mH |_c Vin 50 ohm Vout 50Volts 28uF Continuous Id powergui
Block Parameters: 5KHz D=40% Х = if (t >= PhaseDelay) && Pulse is on Y(t) = Amplitude else Y(t) = 0 end = Pulse type determines the computational technique used. Time-based is recommended for use with a variable step solver, while Sample-based is recommended for use with a fixed step solver or within a discrete portion of a model using a variable step solver. ! Parameters Pulse type: Time based Time (t): Use simulation time Amplitude: 5 : Period (secs):
Period (secs): 1/(5e3) Pulse Width (% of period): 40 Phase delay (secs): 0 0 | Interpret vector parameters as 1-D OK Cancel Help Apply
ANSWER 3 Voltage Across Switch when it is on is o Volts Voltage Across Switch when it is off is 50 Volts SWITCH VOLTAGE VOLTAGE (Volls! 16 Time (seconds) 9.4 13
Scope waveiorms irom u.uzy sec lo 0.05 sec V_IN VOUT Inductive Voltage Diode Current 60 0.2 58 50 0 56 20 40 54 30 vir -0.21 20 -0.4 VOLTAGE (Volts) VOLTAGE (Volts) VOLTAGE (Volts) 10 -0.6 48 0 46 -10 -0.8 44 5 -20 -1 42 -30 -1.2 40 0 -40 0.0291 0.02920.0293 0.0294 0.02950.0296 0.0297 0.02980.0299 0.03 Time (seconds) I IN 0.0291 0.02920.0293 0.0294 0.02950.0296 0.02970.0298 0.0299 0.03 Time (seconds) I OUT 0.02910.02920.02930.0294 0.02950.02960.02970.02980.0299 0.03 Time (seconds) Capacitor Current 0.0291 0.02920.0293 0.02940.02950.0296 0.02970.02980.0299 0.03 Time (seconds) 1.2 0.6 0.8 1 0.5 0.6 2018 20 0.4 0.6 ขึ้นษ) เปรษะกั่ว 0.2 CURRENT (Amps) 0.3 mu CURRENT (Amps) 0.2 -0.2: 0.2 0.1 -0.4 0 0 -0.6 0.02910.02920.029300294 0.02950.02960.02970.02980.0299 0.03 Time (seconds) 0.0291 0.02920.0293 0.02940.02950.0296 0.02970.02980.0299 0.03 Time (seconds) 0.02910.02920.02930.02940.02950.02960.0297 0.02980.0299 0.03 Time (seconds)
PART 1 Burke Converter Africing N = output xoo = input For Duty cycle 20% 50V in Vo (6 T; = 0.0559 A For Table a 9.955 v, L. 0.1991 Po - Yin Yin a.495 W V TO 1.982 W. 1.982 X100 n X 100 2.495 Pout Pout Pu For 20% , n = 70.91% for Duty cycl 40% Pout = 7.94 P. 9.155
40 % for Duty cycle 7.97 Pout P. 9. 155 in 87.05% 7.97 xcoo 9.155 X10o = n = For Dut 50% Duty cycle = 12.4945 W Pout 13.4 W, PA 91: 22% 12.4945 X200 ( z = 13.4 60% For Duty Duty cycle Pout = 18.024 W 19. 155W > - Pin 94..095% 18.024 19.055 X 100 2
For Duty Cycle 80% P = 32. H5W, Pout = 32.06 W 32.06 94.818% ๆ 32.475 XOO Po For Duty cycle 100% = 49,485 W = W 49.055 W Pout 49.485 100% 49.055 in XO n =
Converter Kagiciency () Povability Vs Duty cycle 100 100%, 974, 90 94% 91%. 64% 80 to +0.41'1 60 40 20 0.2 0.4 0.5 0.6 0.8 > Duty cycle