Maximum Voltage using Line Losses(DC 3-Wire) Calculator

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.ⓘ Power Transmitted [P]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Length of Wire DC is the total length of the wire from one end to other end.ⓘ Length of Wire DC [L]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Overhead DC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.ⓘ Area of Overhead DC Wire [A]			+10% -10%

✖Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage using Line Losses(DC 3-Wire) [V_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Maximum Voltage using Line Losses(DC 3-Wire) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire))
V_m = P*sqrt(ρ*L/(P_loss*2*A))
This formula uses 1 Functions, 6 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

Maximum Voltage Overhead DC - (Measured in Volt) - Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead dc 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 Wire DC - (Measured in Meter) - Length of Wire DC 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 DC line when in use.
Area of Overhead DC Wire - (Measured in Square Meter) - Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 920 Watt --> 920 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Wire DC: 12.7 Meter --> 12.7 Meter No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Area of Overhead DC Wire: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = P*sqrt(ρ*L/(P_loss*2*A)) --> 920*sqrt(1.7E-05*12.7/(0.74*2*0.65))

Evaluating ... ...

V_m = 13.782455930497

STEP 3: Convert Result to Output's Unit

13.782455930497 Volt --> No Conversion Required

FINAL ANSWER

13.782455930497 ≈ 13.78246 Volt <-- Maximum Voltage Overhead DC

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead DC Supply » 3 Wire System » Current and Voltage » Maximum Voltage using Line Losses(DC 3-Wire)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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

Verified by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has verified this Calculator and 100+ more calculators!

< Current and Voltage Calculators

Maximum Voltage using Line Losses(DC 3-Wire)

LaTeX Go Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire))

Load Current using Line Losses(DC 3-Wire)

LaTeX Go Current Overhead DC = sqrt(Line Losses/(2*Resistance Overhead DC))

Load Current(DC 3-Wire)

LaTeX Go Current Overhead DC = Power Transmitted per Phase/(2*Maximum Voltage Overhead DC)

Maximum Power using Load Current(DC 3-Wire)

LaTeX Go Maximum Voltage Overhead DC = Power Transmitted/(2*Current Overhead DC)

Maximum Voltage using Line Losses(DC 3-Wire) Formula

LaTeX Go

Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire))
V_m = P*sqrt(ρ*L/(P_loss*2*A))

What is a 3 wire dc system?

This is basically a combination of two series-connected unipolar DC systems. It consists of three conductors, two outer conductors (one is positive and the other is negative), and one middle conductor which acts as neutral.

How to Calculate Maximum Voltage using Line Losses(DC 3-Wire)?

Maximum Voltage using Line Losses(DC 3-Wire) calculator uses Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire)) to calculate the Maximum Voltage Overhead DC, The Maximum Voltage using Line Losses(DC 3-wire) formula is defined as the absolute maximum rated supply voltage is the maximum voltage that can be supplied between the positive supply (VCC) and negative supply (VEE) pins without causing characteristics degradation or damage to the internal circuit. Maximum Voltage Overhead DC is denoted by V_m symbol.

How to calculate Maximum Voltage using Line Losses(DC 3-Wire) using this online calculator? To use this online calculator for Maximum Voltage using Line Losses(DC 3-Wire), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Line Losses (P_loss) & Area of Overhead DC Wire (A) and hit the calculate button. Here is how the Maximum Voltage using Line Losses(DC 3-Wire) calculation can be explained with given input values -> 13.78246 = 920*sqrt(1.7E-05*12.7/(0.74*2*0.65)).

FAQ

What is Maximum Voltage using Line Losses(DC 3-Wire)?

The Maximum Voltage using Line Losses(DC 3-wire) formula is defined as the absolute maximum rated supply voltage is the maximum voltage that can be supplied between the positive supply (VCC) and negative supply (VEE) pins without causing characteristics degradation or damage to the internal circuit and is represented as V_m = P*sqrt(ρ*L/(P_loss*2*A)) or Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire)). Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Wire DC 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 DC line when in use & Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.

How to calculate Maximum Voltage using Line Losses(DC 3-Wire)?

The Maximum Voltage using Line Losses(DC 3-wire) formula is defined as the absolute maximum rated supply voltage is the maximum voltage that can be supplied between the positive supply (VCC) and negative supply (VEE) pins without causing characteristics degradation or damage to the internal circuit is calculated using Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire)). To calculate Maximum Voltage using Line Losses(DC 3-Wire), you need Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Line Losses (P_loss) & Area of Overhead DC Wire (A). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Wire DC, Line Losses & Area of Overhead DC Wire 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 Maximum Voltage Overhead DC?

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

Maximum Voltage Overhead DC = Power Transmitted/(2*Current Overhead DC)
Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*(0.3125)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*Line Losses))
Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*Line Losses))

Home

FREE PDFs

🔍 Search