Power Transmitted(3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Transmitted = (1/3)*Power Transmitted per Phase
P = (1/3)*Pt
This formula uses 2 Variables
Variables Used
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.
Power Transmitted per Phase - (Measured in Watt) - Power Transmitted per Phase is defined as the power delivered to a single phase in a poly-phase electrical network.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted per Phase: 248 Watt --> 248 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (1/3)*Pt --> (1/3)*248
Evaluating ... ...
P = 82.6666666666667
STEP 3: Convert Result to Output's Unit
82.6666666666667 Watt --> No Conversion Required
FINAL ANSWER
82.6666666666667 82.66667 Watt <-- Power Transmitted
(Calculation completed in 00.020 seconds)

Credits

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
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Power and Power Factor Calculators

Power Transmitted using Area of X-Section(3-Phase 4-Wire OS)
​ LaTeX ​ Go Power Transmitted = sqrt((3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2))/(Resistivity*2*Length of Overhead AC Wire))
Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)
​ LaTeX ​ Go Power Transmitted = sqrt(3*Line Losses*Volume of Conductor*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(7*Resistivity*(Length of Overhead AC Wire)^2))
Power Factor using Volume of Conductor Material (3-Phase 4-Wire OS)
​ LaTeX ​ Go Power Factor = sqrt((0.583)*Constant Overhead AC/Volume of Conductor)
Power Transmitted(3-Phase 4-Wire OS)
​ LaTeX ​ Go Power Transmitted = (1/3)*Power Transmitted per Phase

Power Transmitted(3-Phase 4-Wire OS) Formula

​LaTeX ​Go
Power Transmitted = (1/3)*Power Transmitted per Phase
P = (1/3)*Pt

What is the value of maximum voltage and volume of conductor material in 3-phase 4-wire system?

The volume of conductor material required in this system is 7/12cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is vm so that r.m.s. value of voltage between them is vm/√2.

How to Calculate Power Transmitted(3-Phase 4-Wire OS)?

Power Transmitted(3-Phase 4-Wire OS) calculator uses Power Transmitted = (1/3)*Power Transmitted per Phase to calculate the Power Transmitted, The Power Transmitted(3-Phase 4-Wire OS) 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(3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Power Transmitted(3-Phase 4-Wire OS), enter Power Transmitted per Phase (Pt) and hit the calculate button. Here is how the Power Transmitted(3-Phase 4-Wire OS) calculation can be explained with given input values -> 82.66667 = (1/3)*248.

FAQ

What is Power Transmitted(3-Phase 4-Wire OS)?
The Power Transmitted(3-Phase 4-Wire OS) 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 = (1/3)*Pt or Power Transmitted = (1/3)*Power Transmitted per Phase. Power Transmitted per Phase is defined as the power delivered to a single phase in a poly-phase electrical network.
How to calculate Power Transmitted(3-Phase 4-Wire OS)?
The Power Transmitted(3-Phase 4-Wire OS) 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 = (1/3)*Power Transmitted per Phase. To calculate Power Transmitted(3-Phase 4-Wire OS), you need Power Transmitted per Phase (Pt). With our tool, you need to enter the respective value for Power Transmitted per Phase 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 Power Transmitted per Phase. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Power Transmitted = sqrt((3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2))/(Resistivity*2*Length of Overhead AC Wire))
  • Power Transmitted = sqrt(3*Line Losses*Volume of Conductor*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(7*Resistivity*(Length of Overhead AC Wire)^2))
  • Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*cos(Phase Difference)*(3/sqrt(2))
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