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    CALCULATION OF TOTAL HARMONIC CURRENT DISTORTION

    The following calculator computes the total harmonic current distortion (THDc), Peak Current, RMS Current, and Crest Factor based on individual harmonic current distortion values between the 1st and the 50th harmonic. Input the fundamental current and individual harmonic currents to compute THDc also to view a waveform plot based on the input values. The waveform plot assumes all phase angles for individual current distortion values to be zero degrees (in phase with the fundamental current).

    When inputting the data, be sure to use consistent units of Amps, or Per Unit Amps.

    Formulas and Variables












    Of Interest...


    Total Harmonic Current Distortion (THDC) of a current signal is a measurement of the harmonic distortion present and is defined as the ratio of the sum of the power of all harmonic current components to the power of the fundamental frequency current. THDc is used to characterize the power quality of electric power load and the current flowing in your system's conductors. Distortion factor is a closely related term and is sometimes used as a substitute term.

    IEEE 519, "Recommended Practices and Requirements for Harmonic Control in Electrical Power Systems" provides suggested limits for harmonic current distortion as shown in Tables 10.1, 10.2, and 10.3 below. The tables are dependent on several variables and concepts defined as follows:

    1. PCC: Point of common coupling. This point is defined as the point in the utility service to a particular customer where another customer could be connected. It is often chosen as the utility metering point.
    2. ISC: Available short circuit current.
    3. IL: 15 or 30 minute (average) maximum demand current.
    4. TDD: Total demand distortion. TDD is identical to THD except IL (as defined previously) is used instead of the fundamental current component.
    5. ISC/IL: Ratio of the short circuit current to the demand current.









    The thought processes behind the development of these tables are that 1) the customer should be responsible for limiting harmonic currents in accordance with Tables 10.1, 10.2, and 10.3 and 2) the utility should be responsible for limiting harmonic voltage in accordance with Table 10.4 as presented on our calculator page for harmonic voltage distortion.

    Crests Factor is a measure of a waveform showing the ratio of the peak value to the RMS value. A crest factor of 1.0 indicates no peaks, such as the case with DC Voltage. A voltage waveform with 0% THD will have a crest factor equal to 1.414. Crest Factors greater than 1.414 usually indicates the presence of harmonic distortion.

    Calculator


    Known variables: Fundamental Frequency Amps, Harmonic Amps

    I1   I11   I21   I31   I41
    I2   I12   I22   I32   I42
    I3   I13   I23   I33   I43
    I4   I14   I24   I34   I44
    I5   I15   I25   I35   I45
    I6   I16   I26   I36   I46
    I7   I17   I27   I37   I47
    I8   I18   I28   I38   I48
    I9   I19   I29   I39   I49
    I10   I20   I30   I40   I50
                             
                             
      Total Harmonic Current Distortion (THD):     Fundamental Frequency Waveform
      Per-unit Total Harmnic Current Distortion (THD):     Distorted Waveform  
      Peak or Crest Amps:            
      RMS Amps:            
      Creast Factor:            
                             
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