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MTHE 225 Assignment #1: Matlab script for calculating amplitude responses of an RLC circuit to certain frequencies.
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| % RLC circuit calculation tool | |
| % MTHE 225 | |
| % Ethan Peterson | |
| % Student #: 20105011 | |
| % June 13, 2019 | |
| % Setup | |
| clc % Clear previous output | |
| % RLC Circuit Values | |
| R = 1; % in ohms | |
| inductors = [0.1 0.47 1 4.7 10 47 100 470]; % in uH | |
| capacitors = [0.100 0.330 0.680 1 3.3 6.8 10 33 68 100]; % in nF | |
| % 80 possible circuit configs | |
| % Frequency Values (in Hz) | |
| targetFreq = 1200 * 10^3; | |
| unwantedRanges = [ | |
| 600*10^3 1150*10^3 | |
| 1220*10^3 1600*10^3 | |
| ]; | |
| circuitConfigs = []; | |
| conf = []; | |
| maxA = 0; | |
| bestL = 0; | |
| bestC = 0; | |
| file = fopen('configs.txt', 'w'); | |
| for i = 1 : length(inductors) | |
| for j = 1 : length(capacitors) | |
| L = inductors(i); | |
| C = capacitors(j); | |
| A = amp(L * 10^-6, C * 10^-9, targetFreq); | |
| conf(1).A = A; | |
| conf(1).L = L; | |
| conf(1).C = C; | |
| circuitConfigs = [circuitConfigs; conf]; % records all circuit configs in a struct object from worst to best | |
| fprintf(file,'A = %f, L = %f, C = %f\n', A, L, C); | |
| if A > maxA | |
| maxA = A; | |
| bestL = L; | |
| bestC = C; | |
| end | |
| end | |
| end | |
| fclose(file); | |
| disp("best") | |
| disp(maxA) | |
| disp(bestL) | |
| disp(bestC) | |
| % Sort by Amplitude values | |
| amplitudes = []; | |
| for i = 1 : length(circuitConfigs) | |
| amplitudes = [amplitudes; circuitConfigs(i).A]; | |
| end | |
| amplitudes = sort(amplitudes); | |
| % find the circuit configs with the top 5 amplitude values | |
| bestAmplitudes = amplitudes(end-5+1:end); | |
| bestConfigs = []; | |
| for i = 1 : length(bestAmplitudes) | |
| A = bestAmplitudes(i); | |
| for j = 1 : length(circuitConfigs) | |
| if circuitConfigs(j).A == A | |
| bestConfigs = [bestConfigs; circuitConfigs(j)]; | |
| end | |
| end | |
| end | |
| disp("best 5") | |
| disp(bestConfigs(1)) | |
| % Test against unwanted Frequencies | |
| minConfig = bestConfigs([]); | |
| maxConfig = bestConfigs([]); | |
| minA = [100, 100, 100,100,100]; | |
| maxA = zeros(5); | |
| for i = 1 : length(bestConfigs) | |
| L = bestConfigs(i).L; | |
| C = bestConfigs(i).C; | |
| for k = 600*10^3 : 1150*10^3 | |
| A = amp(L * 10^-6, C * 10^-9, k); | |
| if A > maxA(i) | |
| maxA(i) = A; | |
| maxConfig(i) = bestConfigs(i); | |
| end | |
| end | |
| end | |
| disp("max amongst unwanted") | |
| disp(maxConfig(3)) | |
| disp(amp(0.1 * 10^-6, 100 * 10^-9, 1200*10^3)) | |
| disp("test") | |
| disp(amp(0.47 * 10^-6, 33 * 10^-9, 1200*10^3)) | |
| % Test against resonance freq function | |
| diff = targetFreq; | |
| targetConf = circuitConfigs([]); | |
| for i = 1 : length(circuitConfigs) | |
| w = freq(circuitConfigs(i).L * 10^-6, circuitConfigs(i).C * 10^-9); | |
| if abs(targetFreq - w) < diff | |
| diff = abs(targetFreq - w); | |
| targetConf(1) = circuitConfigs(i); | |
| end | |
| end | |
| %disp(targetConf) | |
| function amplitude = amp(L, C, f) | |
| amplitude = (f*2*pi) / sqrt((L*(2*pi*f)^2 - 1/C)^2 + (f * 2 * pi)^2); | |
| end | |
| function omega = freq(L, C) | |
| omega = 1 / sqrt(L * C); | |
| end |
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