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Area Control technology / Behaviour and characteristics of transfer elements

IEV ref 351-45-21

Symbol
ε(t)

en
unit-step function
Heaviside function
function, zero for all negative values of the independent variable time and equal to one for all its positive values, described by

ε( t )= t δ( τ )dτ ={ 0fort<0 1fort>0 MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaGWaaiab=v7aLnaabmaabaGaamiDaaGaayjkaiaawMcaaiabg2da9maapehabaGaaeiTdmaabmaabaGaamiDaaGaayjkaiaawMcaaiaabsgacqaHepaDaSqaaiabgkHiTiabg6HiLcqaaiaadshaa0Gaey4kIipakiabg2da9iaaigdadaGabaabaeqabaGaaGimaiaaykW7caaMc8UaaeiCaiaab+gacaqG1bGaaeOCaiaaykW7caWG0bGaeyipaWJaaGimaiaaykW7aeaacaaIWaGaaGPaVlaaykW7caqGWbGaae4BaiaabwhacaqGYbGaaGPaVlaadshacqGH+aGpcaaIWaaaaiaawUhaaaaa@62F0@ , where δ(t) is the unit impulse

SEE: Figure 4b), IEC 60050-103:2009, 103-03-01, and IEC 60027-6.

Note 1 to entry: The value ε(0) of the unit-step function ε(t) may remain undefined or may be defined according to the context.


fr
fonction échelon unité, f
fonction de Heaviside, f
fonction nulle pour toutes les valeurs négatives de la variable indépendante temps et égale à un pour toutes ses valeurs positives, décrite par

ε( t )= t δ( τ )dτ ={ 0pourt<0 1pourt>0 MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaGWaaiab=v7aLnaabmaabaGaamiDaaGaayjkaiaawMcaaiabg2da9maapehabaGaaeiTdmaabmaabaGaamiDaaGaayjkaiaawMcaaiaabsgacqaHepaDaSqaaiabgkHiTiabg6HiLcqaaiaadshaa0Gaey4kIipakiabg2da9iaaigdadaGabaabaeqabaGaaGimaiaaykW7caaMc8UaaeiCaiaab+gacaqG1bGaaeOCaiaaykW7caWG0bGaeyipaWJaaGimaiaaykW7aeaacaaIWaGaaGPaVlaaykW7caqGWbGaae4BaiaabwhacaqGYbGaaGPaVlaadshacqGH+aGpcaaIWaaaaiaawUhaaaaa@62F0@ , où δ(t) est l’impulsion unité

VOIR: Figure 4b), CEI 60050-103:2009, 103-03-01, et CEI 60027-6.

Note 1 à l’article: La valeur ε(0) de la fonction échelon unité ε(t)peut rester indéfinie ou peut être définie selon le contexte.

Figure 4 – Unit test functions

Figure 4 – Fonctions du test unités


ar
دالة أحادية الخطوة
دالة هيفيسايد

cs
funkce jednotkového skoku
Heavisidova funkce

de
Einheitssprungfunktion, f

es
función escalón unitario, f
función de Heaviside, f

fi
yksikköaskelfunktio
Heavisiden funktio

it
funzione a gradino unitario

ko
단위 계단 함수

ja
単位ステップ関数

pl
funkcja skokowa Heaviside’a
skok jednostkowy

pt
função degrau unitário
função de Heaviside

zh
单位阶跃函数
赫维赛德函数

Publication date: 2013-11
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