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

STEP 0: Pre-Calculation Summary
Formula Used
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))
A = (P^2)*ρ*L/(((cos(Φ))^2)*Ploss*(Vm^2))
This formula uses 1 Functions, 7 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Area of Overhead AC Wire - (Measured in Square Meter) - Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC 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.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.
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
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
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
A = (P^2)*ρ*L/(((cos(Φ))^2)*Ploss*(Vm^2)) --> (890^2)*1.7E-05*10.63/(((cos(0.5235987755982))^2)*8.23*(62^2))
Evaluating ... ...
A = 0.00603278324480583
STEP 3: Convert Result to Output's Unit
0.00603278324480583 Square Meter --> No Conversion Required
FINAL ANSWER
0.00603278324480583 0.006033 Square Meter <-- Area of Overhead AC Wire
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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

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

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))
A = (P^2)*ρ*L/(((cos(Φ))^2)*Ploss*(Vm^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 (5/2)cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2vm so that r.m.s. value of voltage between them is √2vm.

How to Calculate Area of X-Section(Single-Phase Three-Wire OS)?

Area of X-Section(Single-Phase Three-Wire OS) calculator uses 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)) to calculate the Area of Overhead AC Wire, The Area of X-Section(single-Phase three-Wire OS) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier. Area of Overhead AC Wire is denoted by A symbol.

How to calculate Area of X-Section(Single-Phase Three-Wire OS) using this online calculator? To use this online calculator for Area of X-Section(Single-Phase Three-Wire OS), enter Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Phase Difference (Φ), Line Losses (Ploss) & Maximum Voltage Overhead AC (Vm) and hit the calculate button. Here is how the Area of X-Section(Single-Phase Three-Wire OS) calculation can be explained with given input values -> 0.006033 = (890^2)*1.7E-05*10.63/(((cos(0.5235987755982))^2)*8.23*(62^2)).

FAQ

What is Area of X-Section(Single-Phase Three-Wire OS)?
The Area of X-Section(single-Phase three-Wire OS) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier and is represented as A = (P^2)*ρ*L/(((cos(Φ))^2)*Ploss*(Vm^2)) or 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)). 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, Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit, 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 Area of X-Section(Single-Phase Three-Wire OS)?
The Area of X-Section(single-Phase three-Wire OS) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier is calculated using 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)). To calculate Area of X-Section(Single-Phase Three-Wire OS), you need Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Phase Difference (Φ), Line Losses (Ploss) & Maximum Voltage Overhead AC (Vm). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Overhead AC Wire, Phase Difference, 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 Area of Overhead AC Wire?
In this formula, Area of Overhead AC Wire uses Power Transmitted, Resistivity, Length of Overhead AC Wire, Phase Difference, Line Losses & Maximum Voltage Overhead AC. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2)
  • Area of Overhead AC Wire = 2*Resistivity*Length of Overhead AC Wire*(Current Overhead AC)^2/(Line Losses)
  • Area of Overhead AC Wire = Volume of Conductor/((2.5)*Length of Overhead AC Wire)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!