Amps to kW 415V

Convert current to kW on a 415 V three-phase supply and see how the power splits across L1, L2 and L3.

Inputs

Current type

Current amperes (A)

Voltage volts (V)

Voltage measured three phase

Power factor 0 – 1

Real power

0kW

Power carried by each phase

How amps to kW 415V calculator works

The amps to kW 415V calculator converts line current into kilowatts (kW) on a 415 V three-phase supply with 3 inputs: current, power factor and phase. The calculator splits the total kW across L1, L2 and L3 for a balanced load.

Current (A)415 V supplyPower factor (PF)

FormulaP = √3 × I × 415 × PF / 1000

Real power (kW)kW per phaseApparent power (kVA)Reactive power (kVAR)

63 A at 415 V and PF 0.85 gives 38.49 kW, or 12.83 kW on each phase. The column chart shows each phase and the stacked total.

Amps to kW 415V formula

The amps to kW 415V formula is P(kW) = √3 × I × 415 × PF / 1,000. There are 3 formulas at 415 V: three-phase power, power per phase and single-phase power at 240 V.

Three phase 415 V

P = √3 × I × 415 × PF / 1000

1.732 × 63 A × 415 V × 0.85 / 1,000 = 38.49 kW

Per phase

P_phase = P / 3

38.49 kW / 3 = 12.83 kW

Single phase 240 V

P = I × 240 × PF / 1000

32 A × 240 V / 1,000 = 7.68 kW

415 V line to line gives 239.6 V line to neutral (415 ÷ √3). 415/240 V systems serve industry in India, Malaysia, Singapore, Hong Kong and older Australian and UK installations.

Amps to kW 415V conversion chart

The amps to kW 415V conversion chart lists 13 line currents from 10 A to 400 A at 415 V three phase at power factor 1, 0.9, 0.85 and 0.8, plus kW per phase at PF 1.

Amps	415 VPF 1	415 VPF 0.9	415 VPF 0.85	415 VPF 0.8	Per phasePF 1
10 A	7.19	6.47	6.11	5.75	2.4
16 A	11.5	10.35	9.78	9.2	3.83
20 A	14.38	12.94	12.22	11.5	4.79
32 A	23	20.7	19.55	18.4	7.67
40 A	28.75	25.88	24.44	23	9.58
63 A	45.28	40.76	38.49	36.23	15.09
80 A	57.5	51.75	48.88	46	19.17
100 A	71.88	64.69	61.1	57.5	23.96
125 A	89.85	80.87	76.37	71.88	29.95
160 A	115.01	103.51	97.76	92.01	38.34
200 A	143.76	129.38	122.2	115.01	47.92
250 A	179.7	161.73	152.75	143.76	59.9
400 A	287.52	258.77	244.39	230.02	95.84

A 400 A, 415 V supply delivers 287.52 kW at PF 1.

Amps to kW 415V Excel formula

The amps to kW 415V Excel formula is =SQRT(3)*A2*415*B2/1000 with line amps in A2 and power factor in B2.

D2fx=ROUND(SQRT(3)*A2*B2*C2/1000,2)

	A	B	C	D	E
1	Amps	Volts	PF	kW	Formula in D
2	63	415	0.85	38.49	=ROUND(SQRT(3)A2B2*C2/1000,2)
3	100	415	0.9	64.69	=ROUND(SQRT(3)A3B3*C3/1000,2)
4	200	415	1	143.76	=ROUND(SQRT(3)A4B4*C4/1000,2)

Add =D2/3 in column E for kW per phase.

Amps to kW 415V equation

The amps to kW 415V equation is P = √3 × I × 415 × PF / 1,000, where 415 is the line-to-line voltage.

P=√3×I×415×PF÷1000

P: Total real power in kW
I: Line current in amperes (A)
415: Line-to-line voltage (V)
PF: Power factor

Each amp at 415 V three phase and PF 1 adds 0.719 kW.

Amps to kW 415V FAQ

How many kW is 100 amps at 415V?

100 amps at 415V three phase is 71.88 kW at a power factor of 1 and 61.1 kW at 0.85.

How many kW is 63 amps at 415V?

63 amps at 415V three phase is 45.28 kW at a power factor of 1.

How many amps is 50 kW at 415V?

50 kW at 415V three phase is 69.56 A per line at a power factor of 1 and 81.84 A at 0.85.

What is the single phase voltage of a 415V supply?

The single phase voltage of a 415V supply is 239.6 V (415 ÷ √3), usually called 240 V.