Line Losses (3 Phase 4 Wire US) Calculator

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Length of Underground AC Wire is the total length of the wire from one end to other end.ⓘ Length of Underground AC Wire [L]			+10% -10%
✖Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power Transmitted [P]			+10% -10%
✖Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Underground AC Wire [A]			+10% -10%
✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground AC [V_m]			+10% -10%
✖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.ⓘ Phase Difference [Φ]			+10% -10%

✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses (3 Phase 4 Wire US) [P_loss]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Line Losses (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2*cos(Phase Difference)^2))
P_loss = 2*ρ*L*(P^2)/(A*(V_m^2*cos(Φ)^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

Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length of Underground AC Wire - (Measured in Meter) - Length of Underground AC Wire is the total length of the wire from one end to other end.
Power Transmitted - (Measured in Watt) - Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
Area of Underground AC Wire - (Measured in Square Meter) - Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
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.

STEP 1: Convert Input(s) to Base Unit

Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Area of Underground AC Wire: 1.28 Square Meter --> 1.28 Square Meter No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_loss = 2*ρ*L*(P^2)/(A*(V_m^2*cos(Φ)^2)) --> 2*1.7E-05*24*(300^2)/(1.28*(230^2*cos(0.5235987755982)^2))

Evaluating ... ...

P_loss = 0.0014461247637051

STEP 3: Convert Result to Output's Unit

0.0014461247637051 Watt --> No Conversion Required

FINAL ANSWER

0.0014461247637051 ≈ 0.001446 Watt <-- Line Losses

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Underground AC Supply » 3 Φ 4 Wire System » Wire Parameters » Line Losses (3 Phase 4 Wire US)

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

Line Losses using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)

Angle using Load Current (3 Phase 4 Wire US)

LaTeX Go Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC))

Constant using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75)

Area of X-Section using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Area of Underground AC Wire = Volume Of Conductor/((3.5)*Length of Underground AC Wire)

Line Losses (3 Phase 4 Wire US) Formula

LaTeX Go

What are transmission lines losses?

Depending on voltage and distance, transmission line losses range from two to five percent. increase system losses at every level. Transmission System Conductors. Long-distance transmission lines bring power from generators to the service territory of the distribution utility.

How to Calculate Line Losses (3 Phase 4 Wire US)?

Line Losses (3 Phase 4 Wire US) calculator uses Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2*cos(Phase Difference)^2)) to calculate the Line Losses, The Line Losses (3 phase 4 wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current. Line Losses is denoted by P_loss symbol.

How to calculate Line Losses (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Line Losses (3 Phase 4 Wire US), enter Resistivity (ρ), Length of Underground AC Wire (L), Power Transmitted (P), Area of Underground AC Wire (A), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) and hit the calculate button. Here is how the Line Losses (3 Phase 4 Wire US) calculation can be explained with given input values -> 0.001446 = 2*1.7E-05*24*(300^2)/(1.28*(230^2*cos(0.5235987755982)^2)).

FAQ

What is Line Losses (3 Phase 4 Wire US)?

The Line Losses (3 phase 4 wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current and is represented as P_loss = 2*ρ*L*(P^2)/(A*(V_m^2*cos(Φ)^2)) or Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2*cos(Phase Difference)^2)). Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Underground AC Wire is the total length of the wire from one end to other end, Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire & 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.

How to calculate Line Losses (3 Phase 4 Wire US)?

The Line Losses (3 phase 4 wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current is calculated using Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2*cos(Phase Difference)^2)). To calculate Line Losses (3 Phase 4 Wire US), you need Resistivity (ρ), Length of Underground AC Wire (L), Power Transmitted (P), Area of Underground AC Wire (A), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ). With our tool, you need to enter the respective value for Resistivity, Length of Underground AC Wire, Power Transmitted, Area of Underground AC Wire, Maximum Voltage Underground AC & Phase Difference 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 Resistivity, Length of Underground AC Wire, Power Transmitted, Area of Underground AC Wire, Maximum Voltage Underground AC & Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)
Line Losses = 3*(Current Underground AC^2)*Resistivity*Length of Underground AC Wire/Area of Underground AC Wire
Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))

Home

FREE PDFs

🔍 Search