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IEVref:351-50-18ID:
Language:enStatus: Standard
Term: derivative action gain
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Definition: for a proportional plus derivative element with an additional first-order lag the ratio of the maximum gain resulting from the proportional plus derivative action with first-order lag to the gain resulting from proportional action only

SEE: Figure 18.

Note 1 to entry: The transfer function of a PD element with first-order lag is

V( s ) U( s ) = K Ρ 1+ T d s 1+ T 1 s MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaamaalaaabaGaamOvamaabmaabaGaam4CaaGaayjkaiaawMcaaaqaaiaadwfadaqadaqaaiaadohaaiaawIcacaGLPaaaaaGaeyypa0Jaam4samaaBaaaleaacaqGHoaabeaakiabgwSixpaalaaabaGaaGymaiabgUcaRiaadsfadaWgaaWcbaGaaeizaaqabaGccqGHflY1caWGZbaabaGaaGymaiabgUcaRiaadsfadaWgaaWcbaGaaGymaaqabaGccqGHflY1caWGZbaaaaaa@4F22@

and using the derivative action gain a = Td/T1 the transfer function may be written

V( s ) U( s ) = K Ρ 1+ T d s 1+ T d s a MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaamaalaaabaGaamOvamaabmaabaGaam4CaaGaayjkaiaawMcaaaqaaiaadwfadaqadaqaaiaadohaaiaawIcacaGLPaaaaaGaeyypa0Jaam4samaaBaaaleaacaqGHoaabeaakiabgwSixpaalaaabaGaaGymaiabgUcaRiaadsfadaWgaaWcbaGaaeizaaqabaGccqGHflY1caqGZbaabaGaaGymaiabgUcaRmaalaaabaGaamivamaaBaaaleaacaqGKbaabeaakiabgwSixlaadohaaeaacaWGHbaaaaaaaaa@5042@

where
KPis the proportional action coefficient;
Tdis the rate time;
T1is the time constant;
ais the derivative action gain, 1 < a < ∞;
sis the complex variable of the Laplace transform;
U(s)is the input transform;
V(s)is the output transform.

Note 2 to entry: This entry was numbered 351-28-29 in IEC 60050-351:2006.


Publication date:2013-11
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