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Calculate active power in a balanced three-phase AC system

Calculate active power in a balanced three-phase AC system.

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Quick Answer

The calculate active power in a balanced three-phase ac system computes p_active from the input values you provide.

Calculator

p_active (W)
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Result Interpretation

Calculate active power in a balanced three-phase AC system computes p_active in W using the defined engineering formula and the input values provided. p_active is expressed in W. No universal acceptance threshold is defined by this calculator.

Worked Example

default_test

Given:

  • pf = 0.85
  • i_line = 20
  • v_line = 400

Expected Result:

  • p_active = 11777.945491468

Engineering Interpretation:

Under the given input conditions, the calculated result is: p_active = 11777.945491468 W.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

p_active = 1.73205080756888 * v_line * i_line * pf

p_active.

Variables

SymbolLabelRoleDescription
v_line v_line INPUT v_line
i_line i_line INPUT i_line
pf pf INPUT pf
p_active p_active OUTPUT p_active

Calculation Steps

  1. Enter the v_line in V.
  2. Enter the i_line in A.
  3. Enter the pf in 1.
  4. Read the p_active (W) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Calculate active power in a balanced three-phase AC system estimates p_active based on the input parameters you provide

Why is v_line important in this calculation?

v_line is directly proportional to p_active. When you enter v_line in V, the calculator uses it in the engineering formula to compute the output

How should I interpret the result p_active?

The calculator outputs p_active in W. For larger power values, divide by 1000 to express the result in kW, or by 745.7 for horsepower. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: v_line (V), i_line (A). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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