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Calculate kVA from kW and kVAr

kVA Formula:

\[ kVA = \sqrt{P_{kW}^2 + kVAr^2} \]

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kVAr

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1. What is kVA Calculation from kW and kVAr?

Definition: This calculator determines the apparent power (kVA) in an electrical system based on the real power (kW) and reactive power (kVAr).

Purpose: It helps electrical engineers and technicians understand the total power in a system, which is crucial for sizing equipment and analyzing power systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ kVA = \sqrt{P_{kW}^2 + kVAr^2} \]

Where:

Explanation: The formula calculates the vector sum of real power (kW) and reactive power (kVAr) to determine the total apparent power (kVA).

3. Importance of kVA Calculation

Details: Knowing the kVA helps in proper sizing of transformers, generators, and other electrical equipment to handle both the real and reactive power components.

4. Using the Calculator

Tips: Enter the real power (kW) and reactive power (kVAr) values. Both values must be ≥ 0. The calculator will compute the apparent power (kVA).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between kW, kVA, and kVAr?
A: kW is real power (does actual work), kVA is apparent power (total power), and kVAr is reactive power (used for magnetic fields).

Q2: When would kVA equal kW?
A: When there's no reactive power (kVAr = 0), meaning the power factor is 1 (perfectly efficient).

Q3: What is power factor in this context?
A: Power factor (PF) = kW/kVA, representing the ratio of real power to apparent power.

Q4: Why is kVA important for equipment sizing?
A: Electrical equipment must handle the total apparent power (kVA), not just the real power (kW).

Q5: Can kVA be less than kW or kVAr?
A: No, kVA is always equal to or greater than both kW and kVAr, as it's the hypotenuse of the power triangle.

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