Question
Download Solution PDFWhat is the reactive power of a 3-phase, delta-connected system with line voltage of 100 V and line current of 40 A if the phase difference between the voltage and the current is 36.87°?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept of Reactive Power:
In a three-phase system, reactive power (Q) can be calculated using the formula:
Q = √3 × Vline × Iline × sin(ϕ)
Where,
- Vline = Line Voltage
- Iline = Line Current
- ϕ = Phase difference between the voltage and the current
Given Data:
- Line Voltage (Vline) = 100 V
- Line Current (Iline) = 40 A
- Phase Difference (ϕ) = 36.87°
Calculation:
Using the formula:
Q = √3 × Vline × Iline × sin(ϕ)
We have,
sin(36.87°) = 0.6
Therefore,
Q = √3 × 100 V × 40 A × 0.6
⇒ Q = 1.732 × 100 × 40 × 0.6
⇒ Q = 4156.8 VAR
Conclusion:
- Hence, the reactive power of the 3-phase, delta-connected system is 4156.8 VAR = 4.155 KVAR
Last updated on Jun 16, 2025
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