TotalHarmonicDistortionCalculation of total harmonic distortion of voltage |
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This information is part of the Modelica Standard Library maintained by the Modelica Association.
This example compares the result of the total harmonic distortion (THD) with respect to the fundamental wave and with respect to the total root mean square (RMS). In this simulation model a non-sinusoidal voltage wave form is created by the superposition two voltage waves:
V1 and frequency f1V3 and frequency 3*f1This simulation model compares numerically determined THD values with results, obtained by theoretical calculations:
thd1.y and the theoretical value THD1,
both with respect to the fundamental wave; also plot thd1.validthdRMS.y and the theoretical value THDrms,
both with respect to the RMS value; also plot thdRMS.valid| f1 |
Value: 50 Type: Frequency (Hz) Description: Fundamental wave frequency |
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| V1 |
Value: 100 Type: Voltage (V) Description: Fundamental wave RMS voltage |
| V3 |
Value: 20 Type: Voltage (V) Description: Third harmonic wave RMS voltage |
| THD1 |
Value: V3 / V1 Type: Real Description: Theoretically obtained THD with respect to fundamental wave |
| THDrms |
Value: V3 / sqrt(V1 ^ 2 + V3 ^ 2) Type: Real Description: Theoretically obtained THD with respect to RMS |
| ground |
Type: Ground |
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| sineVoltage3 |
Type: SineVoltage |
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| sineVoltage1 |
Type: SineVoltage |
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| voltageSensor |
Type: VoltageSensor |
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| thd1 |
Type: TotalHarmonicDistortion |
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| thdRMS |
Type: TotalHarmonicDistortion |