Maximum Voltage using Line Losses (DC Three-Wire US) Calculator

✖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%
✖Resistance underground DC is defined as the time rate of flow of charge through a cross-sectional area.ⓘ Resistance underground DC [R₁]			+10% -10%
✖Line Losses is defined as the losses that are produced in the line.ⓘ Line Losses [P_line]			+10% -10%

✖Maximum Voltage the highest voltage rating for electrical devices.ⓘ Maximum Voltage using Line Losses (DC Three-Wire US) [V_m]

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Maximum Voltage using Line Losses (DC Three-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))
V_m = sqrt(2*(P^2)*R₁/(P_line))
This formula uses 1 Functions, 4 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 - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.
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.
Resistance underground DC - (Measured in Ohm) - Resistance underground DC is defined as the time rate of flow of charge through a cross-sectional area.
Line Losses - (Measured in Watt) - Line Losses is defined as the losses that are produced in the line.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Resistance underground DC: 5 Ohm --> 5 Ohm No Conversion Required
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = sqrt(2*(P^2)*R₁/(P_line)) --> sqrt(2*(300^2)*5/(0.6))

Evaluating ... ...

V_m = 1224.74487139159

STEP 3: Convert Result to Output's Unit

1224.74487139159 Volt --> No Conversion Required

FINAL ANSWER

1224.74487139159 ≈ 1224.745 Volt <-- Maximum Voltage

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Current and Voltage Calculators

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

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

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

LaTeX Go Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor))

Maximum Voltage using Line Losses (DC Three-Wire US)

LaTeX Go Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))

Load Current using Line Losses (DC Three-Wire US)

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

Maximum Voltage using Line Losses (DC Three-Wire US) Formula

LaTeX Go

Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))
V_m = sqrt(2*(P^2)*R₁/(P_line))

What is the volume of conductor material in DC Three-Wire underground system?

The volume of conductor material required in this system is 1.25 times that of a 2-wire d.c.system with the one conductor earthed.

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

Maximum Voltage using Line Losses (DC Three-Wire US) calculator uses Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses)) to calculate the Maximum Voltage, The Maximum Voltage using Line Losses (DC Three-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage is denoted by V_m symbol.

How to calculate Maximum Voltage using Line Losses (DC Three-Wire US) using this online calculator? To use this online calculator for Maximum Voltage using Line Losses (DC Three-Wire US), enter Power Transmitted (P), Resistance underground DC (R₁) & Line Losses (P_line) and hit the calculate button. Here is how the Maximum Voltage using Line Losses (DC Three-Wire US) calculation can be explained with given input values -> 1224.745 = sqrt(2*(300^2)*5/(0.6)).

FAQ

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

The Maximum Voltage using Line Losses (DC Three-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition and is represented as V_m = sqrt(2*(P^2)*R₁/(P_line)) or Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses)). 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, Resistance underground DC is defined as the time rate of flow of charge through a cross-sectional area & Line Losses is defined as the losses that are produced in the line.

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

The Maximum Voltage using Line Losses (DC Three-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition is calculated using Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses)). To calculate Maximum Voltage using Line Losses (DC Three-Wire US), you need Power Transmitted (P), Resistance underground DC (R₁) & Line Losses (P_line). With our tool, you need to enter the respective value for Power Transmitted, Resistance underground DC & 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?

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

Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor))
Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))
Maximum Voltage = sqrt(6*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor*(cos(Theta))^2))

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