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

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖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%
✖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 using Line Losses (Single-Phase Three-Wire OS) [K]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Constant Overhead AC = (4*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2)
K = (4*ρ*(P*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.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
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.
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

Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 890 Watt --> 890 Watt 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*ρ*(P*L)^2)/(P_loss*(V_m)^2) --> (4*1.7E-05*(890*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)

You are here -

Home » Engineering » Electrical » Power System » Overhead AC Supply » 1 Φ 3 Wire System » Wire Parameters » Constant using Line Losses (Single-Phase Three-Wire OS)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< Wire Parameters Calculators

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

LaTeX 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))

Constant(Single-Phase Three-Wire OS)

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

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

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

Line Losses(Single-Phase Three-Wire OS)

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

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

LaTeX Go

Constant Overhead AC = (4*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2)
K = (4*ρ*(P*L)^2)/(P_loss*(V_m)^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 5/8cos²θ 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 √2/v_m.

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

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

How to calculate Constant using Line Losses (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator for Constant using Line Losses (Single-Phase Three-Wire OS), enter Resistivity (ρ), Power Transmitted (P), 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 using Line Losses (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 0.192385 = (4*1.7E-05*(890*10.63)^2)/(8.23*(62)^2).

FAQ

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

The Constant using Line Losses (single-Phase three-Wire OS) formula is defined as the total constant of a single-phase three-wire overhead system. it is represented by K and is represented as K = (4*ρ*(P*L)^2)/(P_loss*(V_m)^2) or Constant Overhead AC = (4*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2). Resistivity is the measure of how strongly a material opposes the flow of current through them, Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, 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 using Line Losses (Single-Phase Three-Wire OS)?

The Constant using Line Losses (single-Phase three-Wire OS) formula is defined as the total constant of a single-phase three-wire overhead system. it is represented by K is calculated using Constant Overhead AC = (4*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2). To calculate Constant using Line Losses (Single-Phase Three-Wire OS), you need Resistivity (ρ), Power Transmitted (P), 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 Resistivity, Power Transmitted, 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.

How many ways are there to calculate Constant Overhead AC?

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

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

Home

FREE PDFs

🔍 Search