Maximum Voltage using Volume of Conductor Material (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%
✖Volume of Conductor is the total volume of the material used to make the conductor of an overhead dc line.ⓘ Volume of Conductor [V]			+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%

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

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Formula

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Maximum Voltage using Volume of Conductor Material (DC 3-Wire)

Formula

`"V"_{"m"} = sqrt((("P"^2)*(0.3125)*"ρ"*("L"^2))/("V"*"P"_{"loss"}))`

Example

`"6.139578V"=sqrt(((("920W")^2)*(0.3125)*"0.000017Ω*m"*(("12.7m")^2))/("26m³"*"0.74W"))`

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Maximum Voltage using Volume of Conductor Material (DC 3-Wire) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*(0.3125)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*Line Losses))
V_m = sqrt(((P^2)*(0.3125)*ρ*(L^2))/(V*P_loss))
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.
Volume of Conductor - (Measured in Cubic Meter) - Volume of Conductor is the total volume of the material used to make the conductor of an overhead dc line.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.

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
Volume of Conductor: 26 Cubic Meter --> 26 Cubic Meter No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = sqrt(((P^2)*(0.3125)*ρ*(L^2))/(V*P_loss)) --> sqrt(((920^2)*(0.3125)*1.7E-05*(12.7^2))/(26*0.74))

Evaluating ... ...

V_m = 6.13957750193667

STEP 3: Convert Result to Output's Unit

6.13957750193667 Volt --> No Conversion Required

FINAL ANSWER

6.13957750193667 ≈ 6.139578 Volt <-- Maximum Voltage Overhead DC

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Overhead DC Supply » 3-Wire System » Current & Voltage » Maximum Voltage using Volume of Conductor Material (DC 3-Wire)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 8 Current & Voltage Calculators

Maximum Voltage using Volume of Conductor Material (DC 3-Wire)

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

Maximum Power using Constant(DC 3-Wire)

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

Maximum Voltage using Area of X-Section(DC 3-Wire)

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

Maximum Voltage using Line Losses(DC 3-Wire)

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

Load Current using Area of X-Section(DC 3-Wire)

Go Current Overhead DC = sqrt(Area of Overhead DC Wire*Line Losses/(Resistivity*Length of Wire DC))

Load Current using Line Losses(DC 3-Wire)

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

Load Current(DC 3-Wire)

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

Maximum Power using Load Current(DC 3-Wire)

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

Maximum Voltage using Volume of Conductor Material (DC 3-Wire) Formula

Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*(0.3125)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*Line Losses))
V_m = sqrt(((P^2)*(0.3125)*ρ*(L^2))/(V*P_loss))

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 Volume of Conductor Material (DC 3-Wire)?

Maximum Voltage using Volume of Conductor Material (DC 3-Wire) calculator uses Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*(0.3125)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*Line Losses)) to calculate the Maximum Voltage Overhead DC, The Maximum Voltage using Volume of Conductor Material (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 Volume of Conductor Material (DC 3-Wire) using this online calculator? To use this online calculator for Maximum Voltage using Volume of Conductor Material (DC 3-Wire), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Volume of Conductor (V) & Line Losses (P_loss) and hit the calculate button. Here is how the Maximum Voltage using Volume of Conductor Material (DC 3-Wire) calculation can be explained with given input values -> 6.139578 = sqrt(((920^2)*(0.3125)*1.7E-05*(12.7^2))/(26*0.74)).

FAQ

What is Maximum Voltage using Volume of Conductor Material (DC 3-Wire)?

The Maximum Voltage using Volume of Conductor Material (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 = sqrt(((P^2)*(0.3125)*ρ*(L^2))/(V*P_loss)) or Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*(0.3125)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*Line Losses)). 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, Volume of Conductor is the total volume of the material used to make the conductor of an overhead dc line & Line Losses is defined as the total losses occurring in an Overhead DC line when in use.

How to calculate Maximum Voltage using Volume of Conductor Material (DC 3-Wire)?

The Maximum Voltage using Volume of Conductor Material (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 = sqrt(((Power Transmitted^2)*(0.3125)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*Line Losses)). To calculate Maximum Voltage using Volume of Conductor Material (DC 3-Wire), you need Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Volume of Conductor (V) & Line Losses (P_loss). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Wire DC, Volume of Conductor & Line Losses 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, Volume of Conductor & Line Losses. We can use 4 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 = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire))
Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*Line Losses))
Maximum Voltage Overhead DC = sqrt((Power Transmitted^2)*Resistivity*Length of Wire DC/(Area of Overhead DC Wire*Line Losses))

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