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IEVref:351-50-11ID:
Language:enStatus: Standard
Term: proportional plus integral element
Synonym1: PI element
[Preferred]
Synonym2:
Synonym3:
Symbol:
Definition: linear time-invariant transfer element created by the additive combination of a proportional element and an integral element

Note 1 to entry: The transfer function of an ideal PI element is given by

V( s ) U( s ) = K Ρ ( 1+ 1 T i s ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaamaalaaabaGaamOvamaabmaabaGaam4CaaGaayjkaiaawMcaaaqaaiaadwfadaqadaqaaiaadohaaiaawIcacaGLPaaaaaGaeyypa0Jaam4samaaBaaaleaacaqGHoaabeaakiabgwSixpaabmaabaGaaGymaiabgUcaRmaalaaabaGaaGymaaqaaiaadsfadaWgaaWcbaGaaeyAaaqabaGccqGHflY1caWGZbaaaaGaayjkaiaawMcaaaaa@4AC2@

where
Tiis the reset time;
KPis the proportional action coefficient;
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 351-28-22 in IEC 60050-351:2006.


Publication date:2013-11
Source:
Replaces:
Internal notes:2017-08-28: <mstyle displaystyle=true'> corrected to <mstyle displaystyle='true'>. LMO
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