Question
Download Solution PDFAn alternator is supplying a load of 200 kW at 0.5 lagging. If power factor is raised to unity, how many more kW can alternator supply for the same KVA loading?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The power factor of the alternator is given by:
\(cos\space ϕ={P\over S}\)
where, cosϕ = Power factor
P = Active power
Q = Reactive power
Calculation
Case 1: P = 200 kW and cosϕ = 0.5 lagging
\(0.5={200\over S}\)
S = 400 KVA
Case 2: cosϕ = unity
Let the extra kW required is denoted by Px
PT = 200 + Px
\(1={P_T\over S}\)
PT = S
400 = 200 + Px
Px = 200 kW
Last updated on May 29, 2025
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