Constant(Single-Phase Three-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%
✖Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.ⓘ Voltage Overhead AC [V_ac]			+10% -10%

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

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Formula

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Constant(Single-Phase Three-Wire OS)

Formula

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

Example

`"0.002147"=(4*(("890W")^2)*"0.000017Ω*m"*"10.63m")/("8.23W"*(("180V")^2))`

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Constant(Single-Phase Three-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire)/(Line Losses*(Voltage Overhead AC^2))
K = (4*(P^2)*ρ*L)/(P_loss*(V_ac^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.
Voltage Overhead AC - (Measured in Volt) - Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.

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
Voltage Overhead AC: 180 Volt --> 180 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (4*(P^2)*ρ*L)/(P_loss*(V_ac^2)) --> (4*(890^2)*1.7E-05*10.63)/(8.23*(180^2))

Evaluating ... ...

K = 0.00214722396231793

STEP 3: Convert Result to Output's Unit

0.00214722396231793 --> No Conversion Required

FINAL ANSWER

0.00214722396231793 ≈ 0.002147 <-- Constant Overhead AC

(Calculation completed in 00.020 seconds)

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< 19 Wire Parameters Calculators

Length using Volume of Conductor Material (Single-Phase Three-Wire OS)

Go Length of Overhead AC Wire = sqrt(Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/((2.5)*Resistivity*(Power Transmitted^2)))

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

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

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

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

Area of X-Section(Single-Phase Three-Wire OS)

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

Line Losses using Volume of Conductor Material (Single-Phase Three-Wire OS)

Go Line Losses = 2.5*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/((Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)

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

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

Length using Line Losses (Single-Phase Three-Wire OS)

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

Volume of Conductor Material using Line Losses (Single-Phase Three-Wire OS)

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

Constant using Load Current (Single-Phase Three-Wire OS)

Go Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses

Constant using Line Losses (Single-Phase Three-Wire OS)

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

Constant(Single-Phase Three-Wire OS)

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

Area of X-Section using Load Current (Single-Phase Three-Wire OS)

Go Area of Overhead AC Wire = 2*Resistivity*Length of Overhead AC Wire*(Current Overhead AC)^2/(Line Losses)

Length using Load Current (Single-Phase Three-Wire OS)

Go Length of Overhead AC Wire = Line Losses*Area of Overhead AC Wire/(2*(Current Overhead AC^2)*Resistivity)

Volume of Conductor Material using Load Current (Single-Phase Three-Wire OS)

Go Volume of Conductor = 4*Resistivity*(Current Overhead AC*Length of Overhead AC Wire)^2/(Line Losses)

Constant using Volume of Conductor Material (Single-Phase Three-Wire OS)

Go Constant Overhead AC = Volume of Conductor*(cos(Phase Difference))^2/(0.625)

Area of X-section using Volume of Conductor Material (Single-Phase Three-Wire OS)

Go Area of Overhead AC Wire = Volume of Conductor/((2.5)*Length of Overhead AC Wire)

Volume of Conductor Material(Single-Phase Three-Wire OS)

Go Volume of Conductor = (2.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(Single-Phase Three-Wire OS)

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

Line Losses using Load Current (Single-Phase Three-Wire OS)

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

Constant(Single-Phase Three-Wire OS) Formula

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

What is the value of maximum voltage and volume of conductor material in 1-phase 3-wire system?

The volume of conductor material required in this system is (5/8)cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2v_m so that r.m.s. value of voltage between them is √2v_m.

How to Calculate Constant(Single-Phase Three-Wire OS)?

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

How to calculate Constant(Single-Phase Three-Wire OS) using this online calculator? To use this online calculator for Constant(Single-Phase Three-Wire OS), enter Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Line Losses (P_loss) & Voltage Overhead AC (V_ac) and hit the calculate button. Here is how the Constant(Single-Phase Three-Wire OS) calculation can be explained with given input values -> 0.002147 = (4*(890^2)*1.7E-05*10.63)/(8.23*(180^2)).

FAQ

What is Constant(Single-Phase Three-Wire OS)?

The Constant(single-Phase three-Wire OS) formula is defined as the total constant of a single-phase two-wire overhead system. it is represented by K and is represented as K = (4*(P^2)*ρ*L)/(P_loss*(V_ac^2)) or Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire)/(Line Losses*(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 & Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.

How to calculate Constant(Single-Phase Three-Wire OS)?

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

How many ways are there to calculate Constant Overhead AC?

In this formula, Constant Overhead AC uses Power Transmitted, Resistivity, Length of Overhead AC Wire, Line Losses & Voltage Overhead AC. We can use 3 other way(s) to calculate the same, which is/are as follows -

Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses
Constant Overhead AC = (4*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2)
Constant Overhead AC = Volume of Conductor*(cos(Phase Difference))^2/(0.625)

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