kWからアンペア計算機 ロゴ
kWからアンペア計算機
産業用電力スイート

三相 産業用 電力

重負荷産業システムの計算。モーターおよびプラント配電盤の複雑な√3ベクトル計算を処理します。

産業用設定

三相AC

総出力電力
kW

パラメータを入力すると、結果はリアルタイムで更新されます。

計算ベクトル 平衡負荷

現在の結果は、線間電圧乗数(√3 ≈ 1.732)とシステム効率損失を考慮しています。モーターのFLA検証に適しています。

三相電力の公式

三相電力は、同じ電圧と電流で単相よりも73%多くの電力を供給します — 追加の導体はわずか1本です。

有効電力 (kW)
P = √3 × V × I × PF

√3(1.732)係数は、3つの電流波形間の120°の位相オフセットを考慮しており、一定の瞬時電力供給を生み出します。

皮相電力 (kVA)
S = √3 × V × I

皮相電力は、力率に関係なく電源が供給しなければならない総容量です。変圧器や発電機のサイジングに使用されます。

Understanding Three-Phase AC Power

Three-phase power is the standard for industrial and commercial electrical distribution. It consists of three sinusoidal voltages, each offset by 120°, that together produce a constant, smooth power delivery. This makes three-phase motors smoother and more efficient than single-phase equivalents — and allows a given amount of power to be transmitted with less conductor material.

Why √3 (1.732)?

The three-phase power formula uses the square root of 3 because of the vector relationship between line voltage and phase voltage. In a balanced three-phase system, line-to-line voltage (V_LL) equals √3 times the line-to-neutral phase voltage (V_LN). For example, 208V line-to-line corresponds to 120V phase voltage (208 ÷ 1.732 ≈ 120).

Three-Phase Advantages

  • Constant Power Delivery: The three phases sum to a constant total at every instant — unlike single-phase which pulses at twice the supply frequency. This makes motors run smoother with less vibration.
  • Higher Power Density: A three-phase system delivers 73% more power than single-phase at the same conductor size and voltage, making it far more economical for large loads.
  • Simpler Large Motor Design: Three-phase induction motors have no starting capacitors or split-phase windings — the rotating magnetic field forms naturally from the three phases.
  • Lower Neutral Current: In a balanced three-phase system, the neutral conductor carries zero current, saving conductor material in distribution systems.

Common Three-Phase Voltages

  • 208V / 120V: US commercial — line-to-line / line-to-neutral. Common in office buildings and light industrial.
  • 480V / 277V: US industrial standard. Used for large motors, HVAC, and industrial equipment.
  • 400V / 230V: International (IEC) standard across most of Europe, Asia, and Australia.