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ECE 3074 Experiment: Impedance Matching Name: ______________________ Date: _____________________ Analysis The original circuit The equation for the voltage transfer characteristic of the circuit that does not have either a power factor correction or impedance matching network is given by: Insert the MATLAB plot of the voltage transfer characteristic from 40-60 kHz. Include appropriate figure captions. The power delivered to the load, RL and LL, in the original circuit is ___________. Power Factor Correction The capacitance, Cpf, that should be placed in parallel with the load impedance to force the load voltage and current to be in phase (or as close as possible) is ____________. The power delivered to the load, RL and LL, in the circuit with the power factor correction is ___________. Matching Network and Designs The component values for the three matching networks that will match the impedance of the source with the load at 50 kHz are: Network Zm1 Zm2 Zm3 Q factor L T Pi The impedance of the load as seen from the source at 50 kHz is: None L Network T Network Pi Network Magnitude of ZL Phase of ZL Real Component of ZL Imaginary Component of ZL The equation for the voltage transfer characteristic of the circuit with the network, H() = VL/VS is given by: Insert the MATLAB plot of the voltage transfer characteristic for the circuit with the impedance matching network from 40-60 kHz. Include appropriate figure captions. The power delivered to the load, RL and LL, in the circuit with the impedance matching network is ___________. Modeling The original circuit Insert the plot from the transient response performed using PSpice. How quickly does the output voltage stabilize to its steady state value? Insert the plot from the AC Sweep performed using PSpice. The power generated by the source is _____________ and the power delivered to the load at 50 kHz is ___________. The circuit with the matching network Insert the plot from the transient response performed using PSpice. How quickly does the output voltage stabilize to its steady state value with the impedance matching network in place? Insert the plot from the AC Sweep performed using PSpice. The power generated by the source is _____________ and the power delivered to the load at 50 kHz is ___________. Measurements The values of the components used in the circuits are: RS Thévenin Resistance of Function Generator Zm1 Zm2 Zm3 RL LL External resistor Original circuit Insert the plots of the voltages across the load impedance and resistor used to determine the current through the load as measured by the oscilloscope. Include appropriate figure captions. Original Circuit Parameter Value Voltage across the load impedance, ZL = RL + LL Current through the load impedance Magnitude of Vs Power Generated by Vs Power Delivered to ZL = RL + LL H() where f = 50 kHz Insert the Bode plots of the magnitude and phase angle of the voltages across the load impedance and resistor used to determine the current through the load. Include appropriate figure captions. The circuit with the matching network Insert the plots of the voltages (a) at the node between the resistor connected to the arbitrary function generator, Zm1, and Zm2 and (b) across the load impedance and resistor used to determine the current through the load as measured by the oscilloscope. Include appropriate figure captions. Circuit with matching network Parameter Value Voltage across the load impedance, ZL = RL + LL Current through the load impedance Magnitude of Vs (calculated in previous step) Power Generated by Vs Power Delivered to ZL = RL + LL H() where f = 50 kHz Insert the Bode plots of the magnitude and phase angle of the voltages across the load impedance and resistor used to determine the current through the load. Include appropriate figure captions. The frequency where the load is impedance matched to the source impedance is __________. The percent difference between design frequency and measurement frequency at the matching condition is ______________. Conclusions Comment on why the Bode plots measured on the original circuit and circuit with the matching network do not match the MATLAB plots of the transfer function. Compare the power delivered to the load with and without the matching network determined analytically, from the circuit simulations, and the calculated power from the measurements and provide an explanation for any differences. Comment on the differences between using a circuit to perform a power factor correction and an impedance matching network. Given your knowledge of ideal and real components, explain why the operation of the low-pass network should be closer to the predicted operation when compared to the low-pass T network. Similarly, why should the operation of the low-pass network should be closer to the predicted operation when compared to the low-pass L network?