Line Losses(Two-Phase Three-Wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Line Losses = (((Current Overhead AC)^2)*Resistance Overhead AC)*(2+sqrt(2))
Ploss = (((I)^2)*R)*(2+sqrt(2))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Current Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
Resistance Overhead AC - (Measured in Ohm) - Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.
STEP 1: Convert Input(s) to Base Unit
Current Overhead AC: 6.9 Ampere --> 6.9 Ampere No Conversion Required
Resistance Overhead AC: 0.0028 Ohm --> 0.0028 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ploss = (((I)^2)*R)*(2+sqrt(2)) --> (((6.9)^2)*0.0028)*(2+sqrt(2))
Evaluating ... ...
Ploss = 0.455141981572833
STEP 3: Convert Result to Output's Unit
0.455141981572833 Watt --> No Conversion Required
FINAL ANSWER
0.455141981572833 0.455142 Watt <-- Line Losses
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Wire Parameters Calculators

Area of X-Section(Two-Phase Three-Wire OS)
​ LaTeX ​ Go Area of Overhead AC Wire = (2+sqrt(2))*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*2*Line Losses*(Maximum Voltage Overhead AC^2))
Constant(Two-Phase Three-Wire OS)
​ LaTeX ​ Go Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire)^2)/(Line Losses*(Voltage Overhead AC^2))
Volume of Conductor Material(Two-Phase Three-Wire OS)
​ LaTeX ​ Go Volume of Conductor = (2+sqrt(2))*Area of Overhead AC Wire*Length of Overhead AC Wire
Line Losses(Two-Phase Three-Wire OS)
​ LaTeX ​ Go Line Losses = (((Current Overhead AC)^2)*Resistance Overhead AC)*(2+sqrt(2))

Line Losses(Two-Phase Three-Wire OS) Formula

​LaTeX ​Go
Line Losses = (((Current Overhead AC)^2)*Resistance Overhead AC)*(2+sqrt(2))
Ploss = (((I)^2)*R)*(2+sqrt(2))

What is the value of maximum voltage and volume of conductor material in 2-phase 3-wire system?

The volume of conductor material required in this system is 1.457/cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is vm so that r.m.s. value of voltage between them is vm/√2.

How to Calculate Line Losses(Two-Phase Three-Wire OS)?

Line Losses(Two-Phase Three-Wire OS) calculator uses Line Losses = (((Current Overhead AC)^2)*Resistance Overhead AC)*(2+sqrt(2)) to calculate the Line Losses, The Line Losses(two-phase three-wire OS) formula is defined as the loss of electric energy due to the heating of line wires by the current. Line Losses is denoted by Ploss symbol.

How to calculate Line Losses(Two-Phase Three-Wire OS) using this online calculator? To use this online calculator for Line Losses(Two-Phase Three-Wire OS), enter Current Overhead AC (I) & Resistance Overhead AC (R) and hit the calculate button. Here is how the Line Losses(Two-Phase Three-Wire OS) calculation can be explained with given input values -> 0.455142 = (((6.9)^2)*0.0028)*(2+sqrt(2)).

FAQ

What is Line Losses(Two-Phase Three-Wire OS)?
The Line Losses(two-phase three-wire OS) formula is defined as the loss of electric energy due to the heating of line wires by the current and is represented as Ploss = (((I)^2)*R)*(2+sqrt(2)) or Line Losses = (((Current Overhead AC)^2)*Resistance Overhead AC)*(2+sqrt(2)). Current Overhead AC is defined as the current flowing through the overhead ac supply wire & Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.
How to calculate Line Losses(Two-Phase Three-Wire OS)?
The Line Losses(two-phase three-wire OS) formula is defined as the loss of electric energy due to the heating of line wires by the current is calculated using Line Losses = (((Current Overhead AC)^2)*Resistance Overhead AC)*(2+sqrt(2)). To calculate Line Losses(Two-Phase Three-Wire OS), you need Current Overhead AC (I) & Resistance Overhead AC (R). With our tool, you need to enter the respective value for Current Overhead AC & Resistance 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 Line Losses?
In this formula, Line Losses uses Current Overhead AC & Resistance Overhead AC. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Line Losses = (Length of Overhead AC Wire*Resistivity*(Power Transmitted^2)*(2+sqrt(2)))/(2*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*((cos(Phase Difference))^2))
  • Line Losses = ((2+sqrt(2))*Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/((Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)
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