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IEVref:221-03-43ID:
Language:enStatus: Standard
Term: (magnetic) total harmonic distortion factor
Synonym1:
Synonym2:
Synonym3:
Symbol: THDF
Definition: mathematical expression used for the evaluation of characteristics of magnetic materials and expressed in decibels by:

TH D F =20lg( V m / V f μ ea /CCF ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmGadiWaaiWabaabaiaafaaake aacaWGubGaamisaiaadseadaWgaaWcbaacbaGaa8NraaqabaGccqGH 9aqpcaaIYaGaaGimaiaaysW7caaMc8UaciiBaiaacEgadaqadaqaam aalaaabaGaamOvamaaBaaaleaacaWFTbaabeaakiaac+cacaWGwbWa aSbaaSqaaiaa=zgaaeqaaaGcbaGaeqiVd02aaSbaaSqaaiaa=vgaca WFHbaabeaakiaac+cacaWGdbGaam4qaiaadAeaaaaacaGLOaGaayzk aaGaaGPaVlaaysW7caqGKbGaaeOqaaaa@563B@

where

V m = n=1 V n 2 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaerbbjxAHXgarmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdh9arVeeu0dXdh9vqqj=hEeeu0xXdbb a9frFj0=OqFfea0dXdd9vqaq=JfrVkFHe9pgea0dXdar=Jb9hs0dXd bPYxe9vr0=vr0=vqpWqaaiaabiWacmaadaqabeaaeaqaauaaaOqaai aadAfadaWgaaWcbaGaaiyBaaqabaGccqGH9aqpdaGcaaqaamaaqaha baGaamOvamaaDaaaleaacaWGUbaabaGaaGOmaaaaaeaacaWGUbGaey ypa0JaaGymaaqaaiabg6HiLcqdcqGHris5aaWcbeaaaaa@4393@ , where Vn is the amplitude of the n-th harmonic component of the waveform,
Vf is the amplitude of its fundamental component,
μea is the amplitude permeability,
CCF is the Circuit Correction Factor

NOTE 1 – In practice, CCF=1/ 1+ ( 3ω L 1 / R s ) 2 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmGadiWaaiWabaabaiaafaaake aacaWGdbGaam4qaiaadAeacqGH9aqpcaaIXaGaai4lamaakaaabaGa aGymaiabgUcaRmaabmaabaGaaG4maiabeM8a3jaadYeadaWgaaWcba GaaGymaaqabaGccaGGVaGaamOuamaaBaaaleaaieaacaWFZbaabeaa aOGaayjkaiaawMcaamaaCaaaleqabaGaaGOmaaaaaeqaaaaa@4983@ 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. L1 is the primary inductance. Rs is the total source resistance (50 Ω).

NOTE 2 – THDF is sometimes expressed in decibels.


Publication date:2007-04
Source:
Replaces:
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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