Losses using Transmission Efficiency (STL) Calculator

✖Receiving end voltage is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage [V_r]			+10% -10%
✖Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.ⓘ Receiving End Current [I_r]			+10% -10%
✖Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.ⓘ Receiving End Phase Angle [Φ_r]			+10% -10%
✖Transmission Efficiency is the total sideband power by the total transmitted power.ⓘ Transmission Efficiency [η]			+10% -10%

✖Power Loss is defined as the deviation in the power transferred from sending end to receiving end of a short transmission line.ⓘ Losses using Transmission Efficiency (STL) [P_loss]

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Formula

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Losses using Transmission Efficiency (STL)

Formula

`"P"_{"loss"} = ((3*"V"_{"r"}*"I"_{"r"}*(cos("Φ"_{"r"})))/"η")-(3*"V"_{"r"}*"I"_{"r"}*(cos("Φ"_{"r"})))`

Example

`"2988.533W"=((3*"380V"*"3.9A"*(cos("75°")))/"0.278")-(3*"380V"*"3.9A"*(cos("75°")))`

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Losses using Transmission Efficiency (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Loss = ((3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)))/Transmission Efficiency)-(3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)))
P_loss = ((3*V_r*I_r*(cos(Φ_r)))/η)-(3*V_r*I_r*(cos(Φ_r)))
This formula uses 1 Functions, 5 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)

Variables Used

Power Loss - (Measured in Watt) - Power Loss is defined as the deviation in the power transferred from sending end to receiving end of a short transmission line.
Receiving End Voltage - (Measured in Volt) - Receiving end voltage is the voltage developed at the receiving end of a transmission line.
Receiving End Current - (Measured in Ampere) - Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.
Receiving End Phase Angle - (Measured in Radian) - Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.
Transmission Efficiency - Transmission Efficiency is the total sideband power by the total transmitted power.

STEP 1: Convert Input(s) to Base Unit

Receiving End Voltage: 380 Volt --> 380 Volt No Conversion Required
Receiving End Current: 3.9 Ampere --> 3.9 Ampere No Conversion Required
Receiving End Phase Angle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)
Transmission Efficiency: 0.278 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_loss = ((3*V_r*I_r*(cos(Φ_r)))/η)-(3*V_r*I_r*(cos(Φ_r))) --> ((3*380*3.9*(cos(1.3089969389955)))/0.278)-(3*380*3.9*(cos(1.3089969389955)))

Evaluating ... ...

P_loss = 2988.53323959856

STEP 3: Convert Result to Output's Unit

2988.53323959856 Watt --> No Conversion Required

FINAL ANSWER

2988.53323959856 ≈ 2988.533 Watt <-- Power Loss

(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Birsa Institute of Technology (BIT), Sindri

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< 5 Line Parameters Calculators

Losses using Transmission Efficiency (STL)

Go Power Loss = ((3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)))/Transmission Efficiency)-(3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)))

Transmission Efficiency (STL)

Go Transmission Efficiency = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))

Voltage Regulation in Transmission Line

Go Voltage Regulation = ((Sending End Voltage-Receiving End Voltage)/Receiving End Voltage)*100

Impedance (STL)

Go Impedance = (Sending End Voltage-Receiving End Voltage)/Receiving End Current

Resistance using Losses (STL)

Go Resistance = Power Loss/(3*(Receiving End Current^2))

Losses using Transmission Efficiency (STL) Formula

What measures can be taken to minimize losses in short transmission lines?

To minimize losses in short transmission lines, employing larger conductor sizes, reducing line length, optimizing operating voltages, improving insulation, and enhancing conductor materials can be effective. Additionally, employing efficient transformers, employing power factor correction, and minimizing impedance through better line design aid in loss reduction.

How to Calculate Losses using Transmission Efficiency (STL)?

Losses using Transmission Efficiency (STL) calculator uses Power Loss = ((3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)))/Transmission Efficiency)-(3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))) to calculate the Power Loss, The Losses using transmission efficiency (STL) formula is defined as the ratio of the power absorbed by the input circuit of a transducer to the power delivered to a specified load; usually expressed in decibels. Power Loss is denoted by P_loss symbol.

How to calculate Losses using Transmission Efficiency (STL) using this online calculator? To use this online calculator for Losses using Transmission Efficiency (STL), enter Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r) & Transmission Efficiency (η) and hit the calculate button. Here is how the Losses using Transmission Efficiency (STL) calculation can be explained with given input values -> 2988.533 = ((3*380*3.9*(cos(1.3089969389955)))/0.278)-(3*380*3.9*(cos(1.3089969389955))).

FAQ

What is Losses using Transmission Efficiency (STL)?

The Losses using transmission efficiency (STL) formula is defined as the ratio of the power absorbed by the input circuit of a transducer to the power delivered to a specified load; usually expressed in decibels and is represented as P_loss = ((3*V_r*I_r*(cos(Φ_r)))/η)-(3*V_r*I_r*(cos(Φ_r))) or Power Loss = ((3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)))/Transmission Efficiency)-(3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))). Receiving end voltage is the voltage developed at the receiving end of a transmission line, Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line, Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line & Transmission Efficiency is the total sideband power by the total transmitted power.

How to calculate Losses using Transmission Efficiency (STL)?

The Losses using transmission efficiency (STL) formula is defined as the ratio of the power absorbed by the input circuit of a transducer to the power delivered to a specified load; usually expressed in decibels is calculated using Power Loss = ((3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)))/Transmission Efficiency)-(3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))). To calculate Losses using Transmission Efficiency (STL), you need Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r) & Transmission Efficiency (η). With our tool, you need to enter the respective value for Receiving End Voltage, Receiving End Current, Receiving End Phase Angle & Transmission Efficiency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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