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Area Circuit theory / General

IEV ref 131-11-44

Symbol
Q

en
reactive power
for a linear two-terminal element or two-terminal circuit, under sinusoidal conditions, quantity equal to the mean value of the product of the instantaneous voltage u and the instantaneous current i′ which is equal to i but leading it by π/2:

Q= u i ¯ = 1 T 0 T u i dt MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGacaGaaiaabmqaamaabaabaaGcbaGaamyuaiabg2 da9maanaaabaGaamyDaiqadMgagaqbaaaacqGH9aqpdaWcaaqaaiaa igdaaeaacaWGubaaamaapedabaGaamyDaiqadMgagaqbaiGacsgaca WG0baaleaacaaIWaaabaGaamivaaqdcqGHRiI8aaaa@43F4@

where T denotes half the period of u, Q being equivalent to the product of the apparent power S and the sine of the displacement angle φ

Q=Ssinφ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aacaWGrbGaeyypa0Jaam4uaiGacohacaGGPbGaaiOBaGWaciab=z8a Qbaa@40E0@

Note 1 to entry: The reactive power is the imaginary part of the complex power S _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmGadiWaaiWabaabaiaafaaake aadaadaaqaaiaadofaaaaaaa@3A75@ , thus Q=Im S _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmGadiWaaiWabaabaiaafaaake aajugibiaadgfacqGH9aqpcaaMe8EcLbqaciGGjbGaaiyBaOGaaGjb VpaamaaabaqcLbsacaWGtbaaaaaa@42C2@ . Its absolute value is equal to the non-active power, thus |Q|= Q MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aadaabdaqaaiaadgfaaiaawEa7caGLiWoacqGH9aqpcaWGrbWaaSba aSqaaGWaaiab=XJi+bqabaaaaa@40FB@ .

Note 2 to entry: The coherent SI unit for reactive power is voltampere, VA. The special name var and its symbol var are also used.


fr
puissance réactive, f
pour un bipôle élémentaire linéaire ou un bipôle linéaire, en régime sinusoïdal, grandeur égale à la valeur moyenne du produit de la tension instantanée u et du courant instantané i′ qui est égal à i mais qui la devance de π/2:

Q= u i ¯ = 1 T 0 T u i dt MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGacaGaaiaabmqaamaabaabaaGcbaGaamyuaiabg2 da9maanaaabaGaamyDaiqadMgagaqbaaaacqGH9aqpdaWcaaqaaiaa igdaaeaacaWGubaaamaapedabaGaamyDaiqadMgagaqbaiGacsgaca WG0baaleaacaaIWaaabaGaamivaaqdcqGHRiI8aaaa@43F4@

T indique la moitié de la période de u, Q étant équivalent au produit de la puissance apparente S et du sinus du déphasage tension-courant φ

Q=Ssinφ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aacaWGrbGaeyypa0Jaam4uaiGacohacaGGPbGaaiOBaGWaciab=z8a Qbaa@40E0@

Note 1 à l’article: La puissance réactive est la partie imaginaire de la puissance complexe S _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmGadiWaaiWabaabaiaafaaake aadaadaaqaaiaadofaaaaaaa@3A75@ , soit Q=Im S _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmGadiWaaiWabaabaiaafaaake aajugibiaadgfacqGH9aqpcaaMe8EcLbqaciGGjbGaaiyBaOGaaGjb VpaamaaabaqcLbsacaWGtbaaaaaa@42C2@ . Sa valeur absolue est égale à la puissance non active, soit |Q|= Q MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aadaabdaqaaiaadgfaaiaawEa7caGLiWoacqGH9aqpcaWGrbWaaSba aSqaaGWaaiab=XJi+bqabaaaaa@40FB@ .

Note 2 à l’article: L’unité SI cohérente de puissance réactive est le voltampère, VA. Le nom spécial var et son symbole var sont aussi utilisés.


ar
متجه القدرة غير الفعالة

de
Blindleistung, f

es
potencia reactiva

it
potenza reattiva

ko
무효 전력

ja
無効電力

pl
moc bierna

pt
potência reativa

zh
无功功率

Publication date: 2021-09
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