Constant(3-Phase 3-Wire OS) Calculator

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Power Transmitted [P]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Length of Overhead AC Wire is the total length of the wire from one end to other end.ⓘ Length of Overhead AC Wire [L]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Overhead AC [V_m]			+10% -10%

✖Constant Overhead AC is defined as the constant of line of a Overhead supply system.ⓘ Constant(3-Phase 3-Wire OS) [K]

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Formula

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Constant(3-Phase 3-Wire OS)

Formula

`"K" = (4*("P"^2)*"ρ"*("L")^2)/("P"_{"loss"}*("V"_{"m"}^2))`

Example

`"0.192385"=(4*(("890W")^2)*"0.000017Ω*m"*("10.63m")^2)/("8.23W"*(("62V")^2))`

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Constant(3-Phase 3-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC^2))
K = (4*(P^2)*ρ*(L)^2)/(P_loss*(V_m^2))
This formula uses 6 Variables

Variables Used

Constant Overhead AC - Constant Overhead AC is defined as the constant of line of a Overhead supply system.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length of Overhead AC Wire - (Measured in Meter) - Length of Overhead AC Wire is the total length of the wire from one end to other end.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Maximum Voltage Overhead AC - (Measured in Volt) - Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (4*(P^2)*ρ*(L)^2)/(P_loss*(V_m^2)) --> (4*(890^2)*1.7E-05*(10.63)^2)/(8.23*(62^2))

Evaluating ... ...

K = 0.192385457676858

STEP 3: Convert Result to Output's Unit

0.192385457676858 --> No Conversion Required

FINAL ANSWER

0.192385457676858 ≈ 0.192385 <-- Constant Overhead AC

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 6 Wire Parameters Calculators

Line Losses using Area of X-Section(3-Phase 3-Wire OS)

Go Line Losses = (2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*((cos(Phase Difference))^2))

Length of Wire using Area of X-Section(3-Phase 3-Wire OS)

Go Length of Overhead AC Wire = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Resistivity*(Power Transmitted^2))

Area of X-Section(3-Phase 3-Wire OS)

Go Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2))

Constant(3-Phase 3-Wire OS)

Go Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC^2))

Volume of Conductor Material(3-Phase 3-Wire OS)

Go Volume of Conductor = (3)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(3-Phase 3-Wire OS)

Go Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC

Constant(3-Phase 3-Wire OS) Formula

Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC^2))
K = (4*(P^2)*ρ*(L)^2)/(P_loss*(V_m^2))

What is the value of maximum voltage and volume of conductor material in 3-phase 3-wire system?

The volume of conductor material required in this system is 0.5/cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is v_m so that r.m.s. value of voltage between them is v_m/√2.

How to Calculate Constant(3-Phase 3-Wire OS)?

Constant(3-Phase 3-Wire OS) calculator uses Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC^2)) to calculate the Constant Overhead AC, The Constant(3-Phase 3-Wire OS) formula is the total constant of a three-phase three-wire overhead system. it is represented by K. Constant Overhead AC is denoted by K symbol.

How to calculate Constant(3-Phase 3-Wire OS) using this online calculator? To use this online calculator for Constant(3-Phase 3-Wire OS), enter Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m) and hit the calculate button. Here is how the Constant(3-Phase 3-Wire OS) calculation can be explained with given input values -> 0.192385 = (4*(890^2)*1.7E-05*(10.63)^2)/(8.23*(62^2)).

FAQ

What is Constant(3-Phase 3-Wire OS)?

The Constant(3-Phase 3-Wire OS) formula is the total constant of a three-phase three-wire overhead system. it is represented by K and is represented as K = (4*(P^2)*ρ*(L)^2)/(P_loss*(V_m^2)) or Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC^2)). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Overhead AC Wire is the total length of the wire from one end to other end, Line Losses is defined as the total losses occurring in an Overhead AC line when in use & Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

How to calculate Constant(3-Phase 3-Wire OS)?

The Constant(3-Phase 3-Wire OS) formula is the total constant of a three-phase three-wire overhead system. it is represented by K is calculated using Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC^2)). To calculate Constant(3-Phase 3-Wire OS), you need Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Overhead AC Wire, Line Losses & Maximum Voltage Overhead AC and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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