Line Losses(3-Phase 4-Wire OS) Calculator

✖Current Overhead AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Overhead AC [I]			+10% -10%
✖Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.ⓘ Resistance Overhead AC [R]			+10% -10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Line Losses(3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC
P_loss = (3)*((I)^2)*R
This formula uses 3 Variables

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

P_loss = (3)*((I)^2)*R --> (3)*((6.9)^2)*0.0028

Evaluating ... ...

P_loss = 0.399924

STEP 3: Convert Result to Output's Unit

0.399924 Watt --> No Conversion Required

FINAL ANSWER

0.399924 Watt <-- Line Losses

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead AC Supply » 3 Φ 4 Wire System » Wire Parameters » Line Losses(3-Phase 4-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(3-Phase 4-Wire OS)

LaTeX Go Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2))

Constant(3-Phase 4-Wire OS)

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

Volume of Conductor Material(3-Phase 4-Wire OS)

LaTeX Go Volume of Conductor = (3.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(3-Phase 4-Wire OS)

LaTeX Go Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC

Line Losses(3-Phase 4-Wire OS) Formula

LaTeX Go

Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC
P_loss = (3)*((I)^2)*R

What is the value of maximum voltage and volume of conductor material in 3-phase 4-wire system?

The volume of conductor material required in this system is 7/12cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is v_m so that r.m.s. value of voltage between them is v_m/√2.

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

Line Losses(3-Phase 4-Wire OS) calculator uses Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC to calculate the Line Losses, The Line Losses(3-Phase 4-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 P_loss symbol.

How to calculate Line Losses(3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Line Losses(3-Phase 4-Wire OS), enter Current Overhead AC (I) & Resistance Overhead AC (R) and hit the calculate button. Here is how the Line Losses(3-Phase 4-Wire OS) calculation can be explained with given input values -> 0.399924 = (3)*((6.9)^2)*0.0028.

FAQ

What is Line Losses(3-Phase 4-Wire OS)?

The Line Losses(3-Phase 4-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 P_loss = (3)*((I)^2)*R or Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC. 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(3-Phase 4-Wire OS)?

The Line Losses(3-Phase 4-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 = (3)*((Current Overhead AC)^2)*Resistance Overhead AC. To calculate Line Losses(3-Phase 4-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 = (2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*((cos(Phase Difference))^2))
Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)

Home

FREE PDFs

🔍 Search