Doering_7_2S - Oscilloscope measurement of Isc at 500Hz:...

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7.2 – Equivalent Circuits, Section 7-6 Summary Comparison: 500 Hz; Thevenin impedance is inductive: Results: Vth mag (V) Vth phase (deg) Zth res (ohm) Zth ind (mH) Analysis 3.492 -24.08 144.9 21.47 Simulation 3.492 -24.08 144.9 21.47 Measurement 3.51 -23.4 154 21.2 Relative Differences: Simulation -- Analysis 0.0% 0.0% 0.0% 0.0% Measurement -- Analysis 0.5% -2.8% 6.3% -1.3% 1100 Hz; Thevenin impedance is capacitive: Results: Vth mag (V) Vth phase (deg) Zth res (ohm) Zth cap (uF) Analysis 2.543 -79.05 204.3 3.79 Simulation 2.543 -79.05 204.3 3.79 Measurement 2.52 -79.2 213 2.75 Relative Differences: Simulation -- Analysis 0.0% 0.0% 0.0% 0.0% Measurement -- Analysis -0.8% 0.2% 4.3% -27.4%
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Analytical Solution:
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myDAQ Results: Circuit setup for short-circuit current measurement (disconnect R3 for open-circuit voltage measurement): Function Generator setup:
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Oscilloscope measurement of Voc at 500 Hz: Voc magnitude = 7.010 / 2 = 3.51 volts Voc phase = 130 μ s x 500Hz x 360 ° = -23.4 ° (negative phase because waveform lags reference)
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Unformatted text preview: Oscilloscope measurement of Isc at 500Hz: Isc magnitude = (0.418 / 2) / 10 = 20.9 mA Isc phase = 260 s x 500Hz x 360 = -46.8 (negative phase because waveform lags reference) Vth = Voc = 3.51 -23.4 V Zth = Voc / Isc = 3.51 -23.4 V / 20.9 -46.8 mA = 168 23.4 = 154 + j 66.7 Convert inductive reactance to inductance: 66.7 / (2 500 ) = 21.2 mH Measurement results for 1100Hz: Voc magnitude = 5.045 / 2 = 2.523 volts Voc phase = 200 s x 1100Hz x 360 = -79.2 (negative phase because waveform lags reference) Isc magnitude = (0.229 / 2) / 10 = 11.5 mA Isc phase = 165 s x 1100Hz x 360 = -65.3 (negative phase because waveform lags reference) Vth = Voc = 2.523 -79.2 V Zth = Voc / Isc = 2.523 -79.2 V / 11.5 -65.3 mA = 219.4 -13.9 = 213 -j 52.7 Convert capacitive reactance to capacitance: 1 / (2 x 1100 x 52.7 ) = 2.75 F...
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Doering_7_2S - Oscilloscope measurement of Isc at 500Hz:...

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