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06 Numbers and Powers

High Voltage Cable Sizing Calculator: What It Can Tell You

Card No. 06·13621 · Updated · Standard formula, shown below

Estimated current 58.32 A
Apparent power
1,111.11 kVA
Result
Active power
1000 kW
You entered
Line-to-line voltage
11 kV
You entered
You enter
Active power, Line-to-line voltage, Power factor, Supply type
You get
Estimated current, Apparent power
Rounding
2 dp

A high-voltage cable sizing calculator estimates electrical quantities such as current, voltage drop, or conductor loss from the values entered; it cannot safely select a cable for an installation on its own. Because cable ratings depend on installation conditions, standards, and manufacturer data, this page provides a general current estimate from power and voltage—not a cable-size or safety recommendation.

Formula

For a balanced three-phase supply, line current is I = P ÷ (√3 × VLL × PF). For a single-phase supply, the corresponding relation is I = P ÷ (V × PF). The calculator uses one expression for both cases: the selected multiplier is 1 for three-phase and √3 for single-phase.

  • I is estimated line current in amperes (A).
  • P is active power in kilowatts (kW); the calculator converts it to watts.
  • V is voltage in kilovolts (kV); it is treated as line-to-line voltage for three-phase, and supply voltage for single-phase.
  • PF is power factor, entered from 0 to 1.
  • √3 is the three-phase relationship factor.
  • Apparent power is S = P ÷ PF, in kilovolt-amperes (kVA).

These equations estimate current for a stated active power and power factor. They do not calculate conductor cross-sectional area, ampacity, or an approved cable selection. If power is given in megawatts, convert it to kilowatts before entry; if voltage is given in volts, convert it to kilovolts.

Worked Example

Using the defaults—1,000 kW, 11 kV, power factor 0.9, and three-phase:

  1. Convert the inputs: P = 1,000,000 W and VLL = 11,000 V.
  2. Calculate the denominator: √3 × 11,000 × 0.9 ≈ 17,147.32.
  3. Calculate current: 1,000,000 ÷ 17,147.32 ≈ 58.32 A.
  4. Calculate apparent power: 1,000 kW ÷ 0.9 ≈ 1,111.11 kVA.

The values are rounded to two decimal places, as displayed by the calculator. This is a mathematical estimate under the stated assumptions, not a cable rating.

What Cable Sizing Involves

A cable sizing study determines whether a particular cable construction and size can carry the required load in its actual environment, while meeting applicable electrical and project requirements. Current is an important starting point, but it is only one part of the assessment. A high-voltage installation may use cables with different conductor materials, insulation systems, screens, sheaths, and installation arrangements; their ratings are not interchangeable.

Engineers generally compare load current with the cable’s permissible current-carrying capacity, then check additional constraints. Those checks can include voltage drop, short-circuit thermal withstand, earth-fault conditions, protective-device coordination, and requirements for the cable screen or sheath. For high-voltage AC systems, capacitance and charging current can also matter, particularly over long cable routes. The relevant design method and acceptance criteria depend on the governing standards and project specification.

Why the Current Estimate Is Not a Cable Size

Two cables with the same conductor area may have different permissible ratings because of their insulation, conductor construction, laying arrangement, and surroundings. Heat dissipation is especially important: a cable buried in soil, installed in duct, laid in air, or grouped with other loaded cables may have a different rating. Soil thermal properties, ambient temperature, burial depth, spacing, and ventilation can all affect the result.

The calculator also assumes a stated, stable power factor and a balanced three-phase load when that option is selected. It does not account for starting or transient current, harmonics, load diversity, changing demand, or unusual operating conditions. If the given power is electrical input rather than delivered output—or vice versa—efficiency may also need consideration. Confirm what the power figure represents before using it in a design calculation.

How to Use a Cable Sizing Tool Responsibly

  • Confirm whether the equipment is single-phase or three-phase and use the voltage convention requested by the tool.
  • Enter active power in kW and power factor as a decimal, such as 0.9—not as 90.
  • Use the resulting current only as an initial estimate or cross-check.
  • For actual selection, gather cable route length, installation method, conductor and insulation details, ambient or soil conditions, grouping, load profile, and fault-clearing information.
  • Check the candidate cable against applicable engineering standards, verified manufacturer data, protection requirements, and the project design.

Never infer a safe cable size from current alone. High-voltage systems can present lethal shock and arc-flash hazards, and design, installation, testing, and maintenance should be handled by appropriately qualified personnel under the applicable rules. This calculator is not a substitute for engineering review.

Common Errors and Misconceptions

A frequent mistake is mixing volts with kilovolts. For example, entering 11,000 into a field expecting kV makes the computed current 1,000 times too small. Another is treating a three-phase line-to-line voltage as a phase-to-neutral voltage or selecting the wrong supply type. Check the input labels and the equipment nameplate rather than relying on assumptions.

Power factor is not a cable correction factor. A lower power factor increases current for the same active power, but correcting power factor does not by itself determine a cable’s rating. Likewise, a calculator’s output in amperes is not a cross-sectional area: conductor sizes are commonly stated in mm², while some systems use circular mils or kcmil. Converting current into a cable size requires additional design data and appropriate rating tables or calculation methods.

Frequently Asked Questions

Can a high-voltage cable sizing calculator tell me the required cable size?
A general power-and-voltage calculator can estimate current, but that alone cannot establish a suitable cable size. A proper selection needs installation, thermal, fault, protection, and standards information.

What information do I need to estimate cable current?
For this calculator, enter active power, system voltage, power factor, and whether the supply is single-phase or three-phase. Use consistent units and confirm the voltage basis.

Why does lower power factor increase current?
At a fixed active power and voltage, lower power factor means greater apparent power is needed. The current equations therefore give a higher current as power factor falls.

Does cable length affect cable size?
Length affects voltage drop and can affect other design checks. This calculator does not include cable length, so it cannot assess those effects.

Is this calculator suitable for selecting an installed high-voltage cable?
No. It provides only a simplified current estimate. Have the complete design checked by a qualified electrical professional using the applicable standards and verified cable data.

Related

Formula used
in p | Active power | kW | 1000 | 0
in v | Line-to-line voltage | kV | 11 | 0.001
in pf | Power factor | - | 0.9 | 0 | 1
sel ph | Supply type | Three-phase=1, Single-phase=1.7320508075688772
out current | Estimated current | A | p * 1000 / (sqrt(3) * v * 1000 * pf) * ph | 2
out kva | Apparent power | kVA | p / pf | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.

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