Power Transmitted using Line Losses (DC Three-Wire US) Calculator

✖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 [V_m]			+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%

✖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 using Line Losses (DC Three-Wire US) [P]

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Power Transmitted using Line Losses (DC Three-Wire US)

Formula

`"P" = sqrt("P"_{"line"}*("V"_{"m"}^2)/(2*"R"_{"1"}))`

Example

`"14.69694W"=sqrt("0.6W"*(("60V")^2)/(2*"5Ω"))`

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Power Transmitted using Line Losses (DC Three-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Line Losses - (Measured in Watt) - Line Losses is defined as the losses that are produced in the line.
Maximum Voltage - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.
Resistance underground DC - (Measured in Ohm) - Resistance underground DC is defined as the time rate of flow of charge through a cross-sectional area.

STEP 1: Convert Input(s) to Base Unit

Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Resistance underground DC: 5 Ohm --> 5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = sqrt(P_line*(V_m^2)/(2*R₁)) --> sqrt(0.6*(60^2)/(2*5))

Evaluating ... ...

P = 14.6969384566991

STEP 3: Convert Result to Output's Unit

14.6969384566991 Watt --> No Conversion Required

FINAL ANSWER

14.6969384566991 ≈ 14.69694 Watt <-- Power Transmitted

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground DC Supply » 3-Wire System » Resistance, Resistivity & Power » Power Transmitted using Line Losses (DC Three-Wire US)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Resistance, Resistivity & Power Calculators

Power Transmitted using Area of X-Section (DC Three-Wire US)

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

Transmitted Power using Volume of Conductor Material(DC Three-Wire US)

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

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

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

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

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

Resistivity using Line Losses (DC Three-Wire US)

Go Resistivity = Area of underground dc wire*Line Losses/(2*Length of Wire DC*(Current underground DC^2))

Power Transmitted using Line Losses (DC Three-Wire US)

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

Resistance using Line Losses (DC Three-Wire US)

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

Power Transmitted using Line Losses (DC Three-Wire US) Formula

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

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 Power Transmitted using Line Losses (DC Three-Wire US)?

Power Transmitted using Line Losses (DC Three-Wire US) calculator uses Power Transmitted = sqrt(Line Losses*(Maximum Voltage^2)/(2*Resistance underground DC)) to calculate the Power Transmitted, The Power Transmitted using Line Losses (DC Three-Wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations. Power Transmitted is denoted by P symbol.

How to calculate Power Transmitted using Line Losses (DC Three-Wire US) using this online calculator? To use this online calculator for Power Transmitted using Line Losses (DC Three-Wire US), enter Line Losses (P_line), Maximum Voltage (V_m) & Resistance underground DC (R₁) and hit the calculate button. Here is how the Power Transmitted using Line Losses (DC Three-Wire US) calculation can be explained with given input values -> 14.69694 = sqrt(0.6*(60^2)/(2*5)).

FAQ

What is Power Transmitted using Line Losses (DC Three-Wire US)?

The Power Transmitted using Line Losses (DC Three-Wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations and is represented as P = sqrt(P_line*(V_m^2)/(2*R₁)) or Power Transmitted = sqrt(Line Losses*(Maximum Voltage^2)/(2*Resistance underground DC)). Line Losses is defined as the losses that are produced in the line, Maximum Voltage the highest voltage rating for electrical devices & Resistance underground DC is defined as the time rate of flow of charge through a cross-sectional area.

How to calculate Power Transmitted using Line Losses (DC Three-Wire US)?

The Power Transmitted using Line Losses (DC Three-Wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations is calculated using Power Transmitted = sqrt(Line Losses*(Maximum Voltage^2)/(2*Resistance underground DC)). To calculate Power Transmitted using Line Losses (DC Three-Wire US), you need Line Losses (P_line), Maximum Voltage (V_m) & Resistance underground DC (R₁). With our tool, you need to enter the respective value for Line Losses, Maximum Voltage & Resistance underground DC 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 Power Transmitted?

In this formula, Power Transmitted uses Line Losses, Maximum Voltage & Resistance underground DC. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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