Electrical Engineering

Power Factor Correction Calculator

Quick Answer

Power-factor correction capacitor reactive power: Q = P * (sqrt(1 - pf1^2)/pf1 - sqrt(1 - pf2^2)/pf2)

Calculator

Required capacitor reactive power (kvar)
—

Result Interpretation

The result is computed directly from the entered inputs using Q = P * (sqrt(1 - pf1^2)/pf1 - sqrt(1 - pf2^2)/pf2).

Worked Example

Verified calculation

Given:

  • active_power = 100
  • pf_before = 0.8
  • pf_after = 0.95

Expected Result:

  • q_capacitor = 42.13159

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

Formula / Method

Q = P * (sqrt(1 - pf1^2)/pf1 - sqrt(1 - pf2^2)/pf2)

Power-factor correction capacitor reactive power deterministic formula family family_power_factor_correction (DETERMINISTIC_AXIOM)

Standards: FormulaLibrary verified formula: family_power_factor_correction

Variables

SymbolLabelRoleDescription
active_power Active power INPUT Active power
pf_before Power factor before INPUT Power factor before
pf_after Target power factor INPUT Target power factor
q_capacitor Required capacitor reactive power OUTPUT Required capacitor reactive power

Calculation Steps

  1. Enter the active power in kW.
  2. Enter the power factor before in -.
  3. Enter the target power factor in -.
  4. Step 1: Compute required capacitor reactive power.
  5. Read the required capacitor reactive power (kvar) from the results.

Engineering Summary

What is the result of Power-factor correction capacitor reactive power computed from the given inputs using Q = P * (sqrt(1 - pf1^2)/pf1 - sqrt(1 - pf2^2)/pf2)? The calculation uses deterministic formula evaluation. This tool is applicable in engineering calculation.

Engineering Applications

Off-Grid Solar Systems

Size battery banks for solar PV installations with specific autonomy requirements.

Backup Power Planning

Determine battery capacity for UPS and emergency backup systems based on daily load profiles.

RV and Marine Power

Calculate battery bank sizing for mobile power systems with limited charging capacity.

Telecom Tower Power

Engineer battery autonomy for remote telecommunications equipment.

Notes / Limitations

  • ASSUMPTIONSinusoidal steady state, constant active power
  • LIMITATIONValid only within the stated assumptions of Power-factor correction capacitor reactive power.

Frequently Asked Questions

What does this calculator calculate?

The Power Factor Correction Calculator estimates Required capacitor reactive power based on the input parameters you provide

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Active power (kW), Power factor before (-), Target power factor (-). Make sure all inputs use the specified units for consistent results

How does Active power affect the results?

The active power directly affects: Required capacitor reactive power. Increasing or decreasing this value will change these output values according to the engineering formula

How should I interpret the calculated results?

The calculator provides the following outputs: required capacitor reactive power in kvar. Results are computed from the input values using the defined calculation method. Always verify results against project-specific requirements and applicable standards

What assumptions does this calculator use?

This calculator uses verified engineering formulas; the calculation method is based on deterministic formula evaluation, and references FormulaLibrary verified formula: family_power_factor_correction. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

When is this calculation useful?

The Power Factor Correction Calculator is useful during preliminary design, feasibility studies, and quick engineering checks in engineering calculation projects. It helps engineers and designers estimate key parameters before proceeding with detailed analysis

Technical Details
Assumption
Sinusoidal steady state, constant active power
Limitation
Valid only within the stated assumptions of Power-factor correction capacitor reactive power.

Browse More Tools

Explore the full index of engineering calculators on this vertical site.