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IEVref:351-50-19ID:
Language:enStatus: Standard
Term: proportional plus integral plus derivative element
Synonym1: PID element
[Preferred]
Synonym2:
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Symbol:
Definition: linear time-invariant transfer element created by the additive combination of a proportional element, an integral element and a derivative element

Note 1 to entry: The transfer function of an ideal proportional plus integral plus derivative element is given by

V( s ) U( s ) = K Ρ ( 1+ 1 T i s + T d s ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaamaalaaabaGaamOvamaabmaabaGaam4CaaGaayjkaiaawMcaaaqaaiaadwfadaqadaqaaiaadohaaiaawIcacaGLPaaaaaGaeyypa0Jaam4samaaBaaaleaacaqGHoaabeaakiabgwSixpaabmaabaGaaGymaiabgUcaRmaalaaabaGaaGymaaqaaiaadsfadaWgaaWcbaGaaeyAaaqabaGccqGHflY1caWGZbaaaiabgUcaRiaadsfadaWgaaWcbaGaaeizaaqabaGccqGHflY1caWGZbaacaGLOaGaayzkaaaaaa@50DC@

where
KPis the proportional action coefficient;
Tdis the rate time;
Tiis the reset time;
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 351-28-30 in IEC 60050-351:2006.


Publication date:2013-11
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