Math Problem Statement
Une installation triphasée 400 V - 50 Hz comprend :
- 30 lampes à incandescences de 100 W chacune
- 1 moteur M1 : Pu1 = 3000 W ; n1 = 0,87 ; cos @1 = 0,70
- 1 moteur Mz : Puz = 1500 W ; n2 = 0,80; cos 42 = 0,78 I) Pour le circuit éclairage, calculer :
- la puissance active,
- la puissance reactive II) Pour le moteur 1, calculer
- la puissance active.
- la puissance reactive
Solution
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Math Problem Analysis
Mathematical Concepts
Electrical Power
Trigonometry
Physics of Motors
Formulas
P = U * I * cos(ϕ)
Q = U * I * sin(ϕ)
P = P_u * n
Q = P * tan(ϕ)
ϕ = arccos(cos(ϕ))
Theorems
Power Factor and Reactive Power
Apparent Power Theorem
Suitable Grade Level
Undergraduate Electrical Engineering
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