Sending End Current (LTL) Calculator

✖Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a long transmission line.ⓘ Receiving End Current [I_r]			+10% -10%
✖Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.ⓘ Propagation Constant [γ]			+10% -10%
✖Length is defined as the end to end distance of the conductor used in a long transmission line.ⓘ Length [L]			+10% -10%
✖Receiving end voltage is the voltage developed at the receiving end of a long transmission line.ⓘ Receiving End Voltage [V_r]			+10% -10%
✖Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.ⓘ Characteristic Impedance [Z₀]			+10% -10%

✖Sending end current is the voltage at the sending end of a short transmission line.ⓘ Sending End Current (LTL) [I_s]

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Formula

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Sending End Current (LTL)

Formula

`"I"_{"s"} = "I"_{"r"}*cosh("γ"*"L")+(("V"_{"r"}*sinh("γ"*"L"))/"Z"_{"0"})`

Example

`"3865.491A"="6.19A"*cosh("1.24"*"3m")+(("8.88kV"*sinh("1.24"*"3m"))/"48.989Ω")`

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Sending End Current (LTL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Current = Receiving End Current*cosh(Propagation Constant*Length)+((Receiving End Voltage*sinh(Propagation Constant*Length))/Characteristic Impedance)
I_s = I_r*cosh(γ*L)+((V_r*sinh(γ*L))/Z₀)
This formula uses 2 Functions, 6 Variables

Functions Used

sinh - The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function., sinh(Number)
cosh - The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2., cosh(Number)

Variables Used

Sending End Current - (Measured in Ampere) - Sending end current is the voltage at the sending end of a short 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 long transmission line.
Propagation Constant - Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.
Length - (Measured in Meter) - Length is defined as the end to end distance of the conductor used in a long transmission line.
Receiving End Voltage - (Measured in Volt) - Receiving end voltage is the voltage developed at the receiving end of a long transmission line.
Characteristic Impedance - (Measured in Ohm) - Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.

STEP 1: Convert Input(s) to Base Unit

Receiving End Current: 6.19 Ampere --> 6.19 Ampere No Conversion Required
Propagation Constant: 1.24 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Receiving End Voltage: 8.88 Kilovolt --> 8880 Volt (Check conversion here)
Characteristic Impedance: 48.989 Ohm --> 48.989 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_s = I_r*cosh(γ*L)+((V_r*sinh(γ*L))/Z₀) --> 6.19*cosh(1.24*3)+((8880*sinh(1.24*3))/48.989)

Evaluating ... ...

I_s = 3865.49087028903

STEP 3: Convert Result to Output's Unit

3865.49087028903 Ampere --> No Conversion Required

FINAL ANSWER

3865.49087028903 ≈ 3865.491 Ampere <-- Sending End Current

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Long Transmission Line » Current & Voltage » Sending End Current (LTL)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 5 Current & Voltage Calculators

Receiving End Current using Sending End Voltage (LTL)

Go Receiving End Current = (Sending End Voltage-(Receiving End Voltage*cosh(Propagation Constant*Length)))/(Characteristic Impedance*sinh(Propagation Constant*Length))

Receiving End Current using Sending End Current (LTL)

Go Receiving End Current = (Sending End Current-(Receiving End Voltage*(sinh(Propagation Constant*Length))/Characteristic Impedance))/cosh(Propagation Constant*Length)

Receiving End Voltage using Sending End Current (LTL)

Go Receiving End Voltage = (Sending End Current-Receiving End Current*cosh(Propagation Constant*Length))*(Characteristic Impedance/sinh(Propagation Constant*Length))

Sending End Current (LTL)

Go Sending End Current = Receiving End Current*cosh(Propagation Constant*Length)+((Receiving End Voltage*sinh(Propagation Constant*Length))/Characteristic Impedance)

Sending End Voltage (LTL)

Go Sending End Voltage = Receiving End Voltage*cosh(Propagation Constant*Length)+Characteristic Impedance*Receiving End Current*sinh(Propagation Constant*Length)

Sending End Current (LTL) Formula

Which is the type of long transmission line?

A power transmission line with its effective length of around 250 Kms or above is referred to as a long transmission line. The line constants are uniformly distributed over the entire length of the line.

How to Calculate Sending End Current (LTL)?

Sending End Current (LTL) calculator uses Sending End Current = Receiving End Current*cosh(Propagation Constant*Length)+((Receiving End Voltage*sinh(Propagation Constant*Length))/Characteristic Impedance) to calculate the Sending End Current, The Sending End Current (LTL) formula is defined as the current at the sending end of the long transmission lines. Sending End Current is denoted by I_s symbol.

How to calculate Sending End Current (LTL) using this online calculator? To use this online calculator for Sending End Current (LTL), enter Receiving End Current (I_r), Propagation Constant (γ), Length (L), Receiving End Voltage (V_r) & Characteristic Impedance (Z₀) and hit the calculate button. Here is how the Sending End Current (LTL) calculation can be explained with given input values -> 3865.491 = 6.19*cosh(1.24*3)+((8880*sinh(1.24*3))/48.989).

FAQ

What is Sending End Current (LTL)?

The Sending End Current (LTL) formula is defined as the current at the sending end of the long transmission lines and is represented as I_s = I_r*cosh(γ*L)+((V_r*sinh(γ*L))/Z₀) or Sending End Current = Receiving End Current*cosh(Propagation Constant*Length)+((Receiving End Voltage*sinh(Propagation Constant*Length))/Characteristic Impedance). Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a long transmission line, Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line, Length is defined as the end to end distance of the conductor used in a long transmission line, Receiving end voltage is the voltage developed at the receiving end of a long transmission line & Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.

How to calculate Sending End Current (LTL)?

The Sending End Current (LTL) formula is defined as the current at the sending end of the long transmission lines is calculated using Sending End Current = Receiving End Current*cosh(Propagation Constant*Length)+((Receiving End Voltage*sinh(Propagation Constant*Length))/Characteristic Impedance). To calculate Sending End Current (LTL), you need Receiving End Current (I_r), Propagation Constant (γ), Length (L), Receiving End Voltage (V_r) & Characteristic Impedance (Z₀). With our tool, you need to enter the respective value for Receiving End Current, Propagation Constant, Length, Receiving End Voltage & Characteristic Impedance 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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