Power Transmitted using Constant(DC 3-Wire) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Constant Overhead DC/((2.5)*(Length of Wire DC^2)*Resistivity))
P = Vm*sqrt(2*A*K/((2.5)*(L^2)*ρ))
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
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.
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.
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.
Constant Overhead DC - Constant Overhead DC is defined as the constant of line of a Overhead supply system.
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the total length of the wire from one end to other end.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
STEP 1: Convert Input(s) to Base Unit
Maximum Voltage Overhead DC: 60.26 Volt --> 60.26 Volt No Conversion Required
Area of Overhead DC Wire: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required
Constant Overhead DC: 7 --> No Conversion Required
Length of Wire DC: 12.7 Meter --> 12.7 Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = Vm*sqrt(2*A*K/((2.5)*(L^2)*ρ)) --> 60.26*sqrt(2*0.65*7/((2.5)*(12.7^2)*1.7E-05))
Evaluating ... ...
P = 2195.59198901722
STEP 3: Convert Result to Output's Unit
2195.59198901722 Watt --> No Conversion Required
FINAL ANSWER
2195.59198901722 2195.592 Watt <-- Power Transmitted
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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6 Power & Power Factor Calculators

Power Transmitted using Volume of Conductor Material (DC 3-Wire)
Go Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses*Volume of Conductor/((2.5)*(Length of Wire DC^2)*Resistivity))
Power Transmitted using Constant(DC 3-Wire)
Go Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Constant Overhead DC/((2.5)*(Length of Wire DC^2)*Resistivity))
Power Transmitted using Area of X-Section(DC 3-Wire)
Go Power Transmitted = sqrt(Area of Overhead DC Wire*2*Line Losses*(Maximum Voltage Overhead DC^2)/(Resistivity*Length of Wire DC))
Power Transmitted using Line Losses(DC 3-Wire)
Go Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses/(Length of Wire DC*Resistivity))
Power Transmitted using Load Current(DC 3-Wire)
Go Power Transmitted = 2*Current Overhead DC*Maximum Voltage Overhead DC
Power Transmitted per Phase (DC 3-Wire)
Go Power Transmitted per Phase = Power Transmitted*(0.5)

Power Transmitted using Constant(DC 3-Wire) Formula

Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Constant Overhead DC/((2.5)*(Length of Wire DC^2)*Resistivity))
P = Vm*sqrt(2*A*K/((2.5)*(L^2)*ρ))

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 Power Transmitted using Constant(DC 3-Wire)?

Power Transmitted using Constant(DC 3-Wire) calculator uses Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Constant Overhead DC/((2.5)*(Length of Wire DC^2)*Resistivity)) to calculate the Power Transmitted, The Power Transmitted using Constant(DC 3-wire) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate. Power Transmitted is denoted by P symbol.

How to calculate Power Transmitted using Constant(DC 3-Wire) using this online calculator? To use this online calculator for Power Transmitted using Constant(DC 3-Wire), enter Maximum Voltage Overhead DC (Vm), Area of Overhead DC Wire (A), Constant Overhead DC (K), Length of Wire DC (L) & Resistivity (ρ) and hit the calculate button. Here is how the Power Transmitted using Constant(DC 3-Wire) calculation can be explained with given input values -> 2195.592 = 60.26*sqrt(2*0.65*7/((2.5)*(12.7^2)*1.7E-05)).

FAQ

What is Power Transmitted using Constant(DC 3-Wire)?
The Power Transmitted using Constant(DC 3-wire) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate and is represented as P = Vm*sqrt(2*A*K/((2.5)*(L^2)*ρ)) or Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Constant Overhead DC/((2.5)*(Length of Wire DC^2)*Resistivity)). Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire, Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system, Constant Overhead DC is defined as the constant of line of a Overhead supply system, Length of Wire DC is the total length of the wire from one end to other end & Resistivity is the measure of how strongly a material opposes the flow of current through them.
How to calculate Power Transmitted using Constant(DC 3-Wire)?
The Power Transmitted using Constant(DC 3-wire) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate is calculated using Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Constant Overhead DC/((2.5)*(Length of Wire DC^2)*Resistivity)). To calculate Power Transmitted using Constant(DC 3-Wire), you need Maximum Voltage Overhead DC (Vm), Area of Overhead DC Wire (A), Constant Overhead DC (K), Length of Wire DC (L) & Resistivity (ρ). With our tool, you need to enter the respective value for Maximum Voltage Overhead DC, Area of Overhead DC Wire, Constant Overhead DC, Length of Wire DC & Resistivity 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 Maximum Voltage Overhead DC, Area of Overhead DC Wire, Constant Overhead DC, Length of Wire DC & Resistivity. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Power Transmitted = 2*Current Overhead DC*Maximum Voltage Overhead DC
  • Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses/(Length of Wire DC*Resistivity))
  • Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses*Volume of Conductor/((2.5)*(Length of Wire DC^2)*Resistivity))
  • Power Transmitted = sqrt(Area of Overhead DC Wire*2*Line Losses*(Maximum Voltage Overhead DC^2)/(Resistivity*Length of Wire DC))
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