Circuit Project 2 - Lab Report Example

Lab Report, Engineering and Construction Circuit Project 2 Simulation Simulation The equations are xn = Ax + BU and y = Cx + Du 1.1. Source Code% Function definitionFunction [xdot] = trans_analysis(tim, xn) xn1 = zeros (4, 2); xn1 = [xn(1); xn(2); xn(3); xn(4)]; Ln1 = 1.4; Rn1 = 3300; Ln2 = 0.15; Cn1 = 51e-6; Cn2 = 14e-6; un = 150 * sin(10 * tn); Ax = [0 1 1 0;(-Ln2 - Ln1) / (Ln1 * Ln2 * Cn1) (-Rn1 * Ln2 - Rn1 * Ln1) / (Ln1 * Ln2) – 1 / (Ln2 * Cn2) 0; 0 0 1 1;-1 / (Ln2 * Cn1) -Rn1 / Ln2 -1 / (Ln2 * Cn2) 0]; Bx = [0; (Ln2 + Ln1) / (Ln1 * Ln2);0;1 / Ln2];Un = un;xn = A * xn1 + B * U; Calling Functions File t0 = 0; tnf = 3;tn_interval = 0.

10; xn0 = [0;1;1;0]; tspan = t0: tn_interval:tf; [tn, xn] = ode22(trans, tspan, x1); figure(1) plot(tn, xn(:,5),Tn / Xn) grid on title(circuit current) xlabel(Time - seconds) ylabel(Current Amp [A]) figure(2) plot(tn, xn(:, 5),Ks) grid on title( Current / Time) xlabel(Time seconds) ylabel(Current [Amps]) figure(3) plot(t, (xn (:, 5) - xn(:, 5)), ks) grid on title(Current / Time) xlabel(Time sec’) ylabel(Current [Amps])Y = C * x + d * U% first condition is ST; input and FT:yt = 0; Tn = 0.11; Nt = 15;ut = 5; %for ii = 0 : t : Nknt1 = Tnx * f (yy, t, tt);knt1 = Tnx * f (yt + knt1, ut, tNt + T);yt = yt + 0.

20 * (kt1 + kt2);end1.2.  Using ODE1.2.1. Output Display1.3. Using State Space block in Simulink1.3.1. Output Display 1.4. Building scheme applying Powersim toolbox1.4.1. Output DisplayFig 4: Current against Time2. Report2.1. Values of the ParametersThe parameters being used in the simulation are voltage, electric current, electric charge from the capacitors, resistance, power and time. The ranges of the values used are shown below:ParameterUpper LimitLower LimitVoltage (V)25Electric Charge - Te1020Electric Charge – Ti100200Resistance R11020Resistance R21020Time (Seconds)20302.2. IntroductionThe simulation of the electric circuit in this exercise takes three dimensions, each of which shows a unique result.

The methods are simulation with ODE, Powersim toolbox and Simulink and State Space block (Brian, 27). The output demonstrates the variation of the electric properties against time.2.3. Schematic Diagram 2.4. Comparison of the three ResultsThe first simulation shows three lines of voltage for Vx1, Vx2 and vx3. These are the three variables representing the voltage at different time and at different currents. Vx3 has the greatest amplitude followed by vx1 then finally vx2. The second simulation shows non linear relationship between the voltage and the time (Shailendra, 54) and (Khaled 38).

The bode plottting shows almost constant boud against the time variable then a decline from the midle to the end. Simulation 3 shows results in separate plotting for y1 and y2 in which the amplitude of the voltages are higher that in a separate y1 plotting.Works CitedBrian Su-Ming Fan, Modeling and Simulation of a Hybrid Electric Vehicle Using MATLAB/Simulink and ADAMS, NewYork: University of Waterloo, 2007. DepaRnment of Mechanical and Mechatronics Engineering, 2007.Shailendra, Jain, MODELING & SIMULATION USING MATLAB SIMULINK (With CD).

New Delhi: Wiley India Pvt. Limited, 2007Khaled M. Gharaibeh, Nonlinear Distortion in Wireless Systems: Modeling and Simulation with MATLAB, New York: John Wiley & Sons, 2011.