Load Current in Each Outer (Two-Phase Three-Wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference))
I = P/(sqrt(2)*Vm*cos(Φ))
This formula uses 2 Functions, 4 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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
Current Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
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.
Maximum Voltage Overhead AC - (Measured in Volt) - Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = P/(sqrt(2)*Vm*cos(Φ)) --> 890/(sqrt(2)*62*cos(0.5235987755982))
Evaluating ... ...
I = 11.7206767262206
STEP 3: Convert Result to Output's Unit
11.7206767262206 Ampere --> No Conversion Required
FINAL ANSWER
11.7206767262206 11.72068 Ampere <-- Current Overhead AC
(Calculation completed in 00.020 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Osmania University (OU), Hyderabad
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12 Current & Voltage Calculators

Maximum Voltage using Area of X-Section(Two-Phase Three-Wire OS)
Go Maximum Voltage Overhead AC = sqrt((Length of Overhead AC Wire*Resistivity*(Power Transmitted^2)*(2+sqrt(2)))/(2*Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))
RMS Voltage using Area of X-Section(Two-Phase Three-Wire OS)
Go Root Mean Square Voltage = sqrt(((2+sqrt(2))*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))
Maximum Voltage using Line Losses (Two-Phase Three-Wire OS)
Go Maximum Voltage Overhead AC = (Power Transmitted*sqrt((2+sqrt(2))*Resistivity*Length of Overhead AC Wire/(2*Area of Overhead AC Wire*Line Losses)))/cos(Phase Difference)
Maximum Voltage using Volume of Conductor Material (Two-Phase Three-Wire OS)
Go Maximum Voltage Overhead AC = (2+sqrt(2))*sqrt(Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2/(Line Losses*Volume of Conductor*(cos(Phase Difference))^2))
RMS Voltage using Line Losses (Two-Phase Three-Wire OS)
Go Root Mean Square Voltage = Power Transmitted*sqrt((2+sqrt(2))*Resistivity*Length of Overhead AC Wire/(2*Area of Overhead AC Wire*Line Losses))/cos(Phase Difference)
Load Current using Area of X-Section(Two-Phase Three-Wire OS)
Go Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/((2+sqrt(2))*Resistivity*Length of Overhead AC Wire))
Maximum Voltage using Load Current (Two-Phase Three-Wire OS)
Go Maximum Voltage Overhead AC = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Overhead AC)
Load Current in Each Outer (Two-Phase Three-Wire OS)
Go Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference))
Load Current(Two-Phase Three-Wire OS)
Go Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference))
RMS Voltage using Load Current (Two-Phase Three-Wire OS)
Go Root Mean Square Voltage = Power Transmitted/(2*cos(Phase Difference)*Current Overhead AC)
Load Current of Neutral Wire (Two-Phase Three-Wire OS)
Go Current in Neutral Wire = sqrt(2)*Current Overhead AC
Maximum Voltage(Two-Phase Three-Wire OS)
Go Voltage Overhead AC = (1)*Maximum Voltage Overhead AC

Load Current in Each Outer (Two-Phase Three-Wire OS) Formula

Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference))
I = P/(sqrt(2)*Vm*cos(Φ))

What is 2-phase 3-wire overhead system?

A 2-phase, 3-wire AC system has a middle conductor of the same cross-sectional area as the outer and supplies a load of 20 MW. The system is converted into 3-phase, 4-wire system by running a neutral wire. Calculate the new power which can be supplied if the voltage across the consumer terminal and percentage line losses remain the same.

How to Calculate Load Current in Each Outer (Two-Phase Three-Wire OS)?

Load Current in Each Outer (Two-Phase Three-Wire OS) calculator uses Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference)) to calculate the Current Overhead AC, The Load Current in Each Outer (Two-phase Three-wire OS) formula is defined as the current that flows into the load of the single-phase two-wire underground system. Current Overhead AC is denoted by I symbol.

How to calculate Load Current in Each Outer (Two-Phase Three-Wire OS) using this online calculator? To use this online calculator for Load Current in Each Outer (Two-Phase Three-Wire OS), enter Power Transmitted (P), Maximum Voltage Overhead AC (Vm) & Phase Difference (Φ) and hit the calculate button. Here is how the Load Current in Each Outer (Two-Phase Three-Wire OS) calculation can be explained with given input values -> 11.72068 = 890/(sqrt(2)*62*cos(0.5235987755982)).

FAQ

What is Load Current in Each Outer (Two-Phase Three-Wire OS)?
The Load Current in Each Outer (Two-phase Three-wire OS) formula is defined as the current that flows into the load of the single-phase two-wire underground system and is represented as I = P/(sqrt(2)*Vm*cos(Φ)) or Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference)). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire & Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.
How to calculate Load Current in Each Outer (Two-Phase Three-Wire OS)?
The Load Current in Each Outer (Two-phase Three-wire OS) formula is defined as the current that flows into the load of the single-phase two-wire underground system is calculated using Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference)). To calculate Load Current in Each Outer (Two-Phase Three-Wire OS), you need Power Transmitted (P), Maximum Voltage Overhead AC (Vm) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage Overhead AC & Phase Difference 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 Current Overhead AC?
In this formula, Current Overhead AC uses Power Transmitted, Maximum Voltage Overhead AC & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference))
  • Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/((2+sqrt(2))*Resistivity*Length of Overhead AC Wire))
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