A device is through to behave like a Thevenin equivalent source. To test this, a

Question

A device is through to behave like a Thevenin equivalent source. To test this, an experiment was conducted in which various load were connected to the device and the voltage and current at the device output were measured. The measured data is: vload = [5.4203 5.4160 5.4034 5.3769 5.2476 5.2097 5.0791 4.9494] and iload = [5.4502e-04 1.6587e-03 5.3714e-03 1.6145e-02 5.2495e-02 6.3039e-02 1.0737e-01 1.4910e-01] in units of volts and amperes, respectively. Perform a curve fit to this data in order to determine Vth and Rth of the Thevenin equivalent source model, and plot the actual data (as point) and the Thevenin equivalent source (as a line) with voltage on the horizontal axis. Add a legend to the plot to indentify which is the data and which the Thevenin equivalent source parameter. Write a one sentence conclusion (by hand, not using MATLAB) below the plot stating whether or not a Thevenin equivalent source is a good model for the device.

Explanation / Answer

V = [5.4203 5.4160 5.4034 5.3769 5.2476 5.2097 5.0791 4.9494];

I = [5.4502e-04 1.6587e-03 5.3714e-03 1.6145e-02 5.2495e-02 6.3039e-02 1.0737e-01 1.4910e-01];

RA = (R1*R3)/(R1+R3);

RB = (R2*R4)/(R2+R4);

RTH = RA + RB;

VA = (R3/(R1+R3))*(E);

VB = (R4/(R2+R4))*(E);

VTH = abs(VA-VB);

IT =(E)/(RTH);

RL = 10:1000;

VL = IT *(RL);

PL = VL.*VL./RL;

semilogx(RL,PL);

title('PLoad versus RLoad');

xlabel('Load Resistance (ohms) ');

ylabel('Power (Watts)');

PLmax = ((VTH^2)/(4*(RTH)));

fprintf('Thevenin Voltage %4.3f Volts; ',VTH);

fprintf(' Thevenin Resistance %4.3f Ohms; ',RTH);

fprintf(' Maximum Power %4.3f Watts; ',PLmax);

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