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ENGINEERING CALCULATORS

Three-phase power factor correction calculator

Engineering calculators (Beta)

Find compensation reactive power and ideal capacitance from active power and before/after power factor.

Inputs

Choose units and enter numbers. Full-width digits and fractions such as 1/8 or 1 3/8 are accepted. Changing a unit converts the entered value.

Results

Reference calculation only. Results do not certify suitability for an actual design or its safety.

Diagram

Inputs: select a blue symbol to edit Results: red-orange values and lines

Formula and applicability

Qc=P(tanφ1−tanφ2); CY=Qc/(2πfU²); CΔ=CY/3; I=P/(√3 U cosφ).

Displayed values are rounded. Diagrams illustrate the calculation conditions. Initial material and fluid properties are examples; replace them with values for the actual material, temperature and conditions.

Reference
Using this information as a reference

Equations assume particular loads, supports and deformation ranges. Check inputs, units and the applicability of each equation. Diagrams explain conditions; they are not manufacturing drawings or proof of safety.

Material values are typical values or reference ranges, not certified product properties or ready-to-use design allowables. They vary with standards, product form, dimensions, temper and temperature. Check the specifications and inspection certificates for the actual product.

Displayed safety factors and checks apply only to the supplied inputs and calculation model. They do not automatically establish the safety of a complete design, including code compliance, service life, fatigue or joints. For actual design, manufacture and use, separately verify applicable regulations and standards, product specifications, and the necessary tests and engineering review.

この計算で求められること

有効電力と改善前後の力率から、必要な無効電力と理想容量を求めます。

入力・結果・適用条件を確認する

選択した形状・計算方法により、使う項目は変わります。実際の計算は上の図と入力欄で行えます。

主な入力

  • 三相合計の有効電力 P (kW / W / mW)
  • 改善前の遅れ力率 (% / fraction / ‰)
  • 改善後の目標力率 (% / fraction / ‰)
  • 線間電圧 U (V / kV / µV)
  • 周波数 f (Hz / kHz / MHz)

得られる結果

  • 必要な進相無効電力 Qc (kvar)
  • Y結線の1相あたり理想容量 (µF)
  • Δ結線の1相あたり理想容量 (µF)
  • 改善前の線電流 (A)
  • 改善後の線電流 (A)

計算式の概要

Qc=P(tanφ1−tanφ2); CY=Qc/(2πfU²); CΔ=CY/3; I=P/(√3 U cosφ).

平衡三相・正弦波・一定電圧、遅れ力率を改善する理想計算です。高調波、共振、過補償、無負荷自己励磁、投入電流、開閉器・保護装置・放電抵抗・接続方法の適否は扱いません。容量は比較用で、実機への接続指示ではありません。

現在選択中の方法には、操作欄の「計算式・適用条件」を使ってください。参考計算であり、設計全体の安全性を保証するものではありません。

関連する計算

What this calculator does

Find compensation reactive power and ideal capacitance from active power and before/after power factor.

Inputs, outputs and applicability

The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.

Inputs

  • Total three-phase active power P (kW / W / mW)
  • Initial lagging power factor (% / fraction / ‰)
  • Target power factor (% / fraction / ‰)
  • Line-to-line voltage U (V / kV / µV)
  • Frequency f (Hz / kHz / MHz)

Calculated results

  • Required capacitor reactive power Qc (kvar)
  • Ideal capacitance per phase, star (µF)
  • Ideal capacitance per phase, delta (µF)
  • Line current before compensation (A)
  • Line current after compensation (A)

Formula overview

Qc=P(tanφ1−tanφ2); CY=Qc/(2πfU²); CΔ=CY/3; I=P/(√3 U cosφ).

Balanced sinusoidal three-phase supply at constant voltage, improving lagging PF. Harmonics, resonance, overcompensation, no-load self-excitation, switching transients, protection, discharge resistors and installation suitability are excluded. Capacitance is for comparison, not wiring instructions.

The displayed formula and conditions in the working panel apply to the currently selected model. Reference calculation only; it does not certify a complete design.

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