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IEVref: | 221-03-43 | ID: | |

Language: | en | Status: Standard | |

Term: | (magnetic) total harmonic distortion factor | ||

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Symbol: | THD_{F}
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Definition: | mathematical expression used for the evaluation of characteristics of magnetic materials and expressed in decibels by: $TH{D}_{\text{F}}=20\text{\hspace{0.17em}}\mathrm{lg}\left(\frac{{V}_{\text{m}}/{V}_{\text{f}}}{{\mu}_{\text{ea}}/CCF}\right)$ where
${V}_{\text{m}}=\sqrt{{\displaystyle \sum _{n=1}^{\infty}{V}_{n}^{2}}}$, where n-th harmonic component of the waveform,V_{f} is the amplitude of its fundamental component,μ_{ea} is the amplitude permeability,CCF is the Circuit Correction Factor
NOTE 1 – In practice, $CCF=1/\sqrt{1+{\left(3\omega {L}_{1}/{R}_{\text{s}}\right)}^{2}}$ stands for the Circuit Correction Factor and is given in the approximation for the third harmonic, which is valid for measurements without applied DC bias. NOTE 2 – | ||

Publication date: | 2007-04 | ||

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Internal notes: | 2015-06-22: Adjective d.c. replaced by DC. JGO 2012-01-15: German term corrected in accordance with mail received from Anne Seeger DKE 2015-01-14. JGO 2017-02-27: "dB" deleted from the equation and "designated by" corrected to "expressed in". See mail exchange with RS and JS 2016-01. JGO 2017-06-02: Cleanup - Remove Attached Image 221-03-42a.gif 2017-06-02: Cleanup - Remove Attached Image 221-03-42b.gif 2017-06-02: Cleanup - Remove Attached Image 221-03-42c.gif | ||

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$TH{D}_{\text{F}}=20\text{\hspace{0.17em}}\mathrm{lg}\left(\frac{{V}_{\text{m}}/{V}_{\text{f}}}{{\mu}_{\text{ea}}/CCF}\right)$

where

${V}_{\text{m}}=\sqrt{{\displaystyle \sum _{n=1}^{\infty}{V}_{n}^{2}}}$, where *V _{n}* is the amplitude of the