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Area Control technology / Characteristics of functional units in control systems

IEV ref351-50-19

en
proportional plus integral plus derivative element
PID element
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.


fr
élément à action proportionnelle, intégrale et dérivée, m
élément PID, m
élément de transfert invariant dans le temps constitué de la combinaison additive d'un élément d'action proportionnelle, d'un élément d'action par intégration et d'un élément d'action par dérivation

Note 1 à l’article: La fonction de transfert d'un élément à action proportionnelle, intégrale et dérivée est donnée par

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

KPest le coefficient d’action proportionnelle;
Tdest le temps de dosage de dérivation;
Tiest le temps de dosage d’intégration;
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 351-28-30 dans la CEI 60050-351:2006.


ar
عنصر تناسبي وتكاملي واشتقاقي

de
Proportionalglied plus Integrierglied plus Differenzierglied, n
PID-Glied, n

es
elemento proporcional integral derivativo, m
elemento PID, m

fi
verrannollisuus-, integrointi- ja derivointielementti
PID-elementti

it
elemento ad azione proporzionale per integrazione e per derivazione
elemento p i d

ko
비례 적분 미분 요소
피아이디 요소

ja
比例積分微分要素

pl
człon proporcjonalno-całkująco-różniczkujący
element PID

pt
elemento de ação proporcional, integral e derivada
elemento PID

zh
比例积分微分元件
PID元件

Publication date: 2013-11
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