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Area Control technology / Characteristics of functional units in control systems

IEV ref351-50-11

en
proportional plus integral element
PI element
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.


fr
élément à action proportionnelle et par intégration, m
élément PI, m
élément de transfert constitué de la combinaison additive d'un élément à action proportionnelle et d'un élément à action par intégration

Note 1 à l’article: La fonction de transfert d'un élément PI est donnée par

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

Tiest le temps de dosage d’intégration;
KPest le coefficient d’action proportionnelle;
sest la variable complexe de la transformée de Laplace;
U(s)est la transformée de la variable d’entrée;
V(s)est la transformée de la variable de sortie.

Note 2 à l'article: Cet article était numéroté 351-28-22 dans la CEI 60050-351:2006.


ar
عنصر تناسبي وتكاملي

de
Proportionalglied plus Integrierglied, n
PI-Glied, n

es
elemento proporcional integral, m
elemento PI, m

fi
verrannollisuus- ja integrointielementti
PI-elementti

it
elemento ad azione proporzionale e per integrazione
elemento p i

ko
비례 적분 요소
피아이 요소

ja
比例積分要素

pl
człon proporcjonalno-całkujący
element PI

pt
elemento de ação proporcional e integral
elemento PI

zh
比例积分元件
PI元件

Publication date: 2013-11
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