blockTotalHarmonicDistortion

Output the total harmonic distortion (THD)

Extends from Interfaces.SISO (Single Input Single Output continuous control block).

Information

This block determines the total harmonic distortion (THD) over the given period 1/f. Consider that the input u consists of harmonic RMS components U1, U2, U3, etc. The total RMS component is then determined by:

The calculation of the total harmonic distortion is based on the parameter useFirstHarmonic. The default value useFirstHarmonic = true represents the standard THD calculation used in electrical engineering. The non-default value useFirstHarmonic = false calculates the THD typically used for the assessment of audio signals.

If useFirstHarmonic = true, the total higher harmonic content (harmonic order numbers > 1) refers to the RMS value of the fundamental wave:

If useFirstHarmonic = false, the total higher harmonic content (harmonic order numbers > 1) refers to the total RMS:

In case of a zero input signal or within the first period of calculation, the boolean output signal valid becomes false to indicate that the calculation result is not valid. Valid calculations are indicated by valid = true.

Parameters

TypeNameDefaultDescription
SI.FrequencyfBase frequency
BooleanuseFirstHarmonictrueTHD with respect to first harmonic, if true; otherwise with respect to total RMS

Connectors

TypeNameDefaultDescription
RealInputu (from SISO)Connector of Real input signal
RealOutputy (from SISO)Connector of Real output signal
Interfaces.BooleanOutputvalidTrue, if output y is valid

Components

TypeNameDefaultDescription
Harmonicharmonic
RootMeanSquarerootMeanSquare
Logical.GreaterThresholdgreaterThreshold
Divisiondivision
Nonlinear.Limiterlimiter
Pythagoraspythagoras
Logical.AndandValid
Sources.BooleanExpressionbooleanExpression
Logical.Switchswitch1