Receiving End Current using Sending End Voltage (LTL) Calculator

✖Sending end voltage is the voltage at the sending end of a long transmission line.ⓘ Sending End Voltage [V_s]			+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%
✖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%
✖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%

✖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 using Sending End Voltage (LTL) [I_r]

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Receiving End Current using Sending End Voltage (LTL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Current = (Sending End Voltage-(Receiving End Voltage*cosh(Propagation Constant*Length)))/(Characteristic Impedance*sinh(Propagation Constant*Length))
I_r = (V_s-(V_r*cosh(γ*L)))/(Z₀*sinh(γ*L))
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

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.
Sending End Voltage - (Measured in Volt) - Sending end voltage is the voltage at the sending end of 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.
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.
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

Sending End Voltage: 189.57 Kilovolt --> 189570 Volt (Check conversion here)
Receiving End Voltage: 8.88 Kilovolt --> 8880 Volt (Check conversion here)
Propagation Constant: 1.24 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Characteristic Impedance: 48.989 Ohm --> 48.989 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_r = (V_s-(V_r*cosh(γ*L)))/(Z₀*sinh(γ*L)) --> (189570-(8880*cosh(1.24*3)))/(48.989*sinh(1.24*3))

Evaluating ... ...

I_r = 6.18566292772545

STEP 3: Convert Result to Output's Unit

6.18566292772545 Ampere --> No Conversion Required

FINAL ANSWER

6.18566292772545 ≈ 6.185663 Ampere <-- Receiving End Current

(Calculation completed in 00.004 seconds)

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< Current and Voltage Calculators

Receiving End Current using Sending End Voltage (LTL)

LaTeX 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)

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

Sending End Current (LTL)

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

Sending End Voltage (LTL)

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

Receiving End Current using Sending End Voltage (LTL) Formula

LaTeX Go

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 Receiving End Current using Sending End Voltage (LTL)?

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

How to calculate Receiving End Current using Sending End Voltage (LTL) using this online calculator? To use this online calculator for Receiving End Current using Sending End Voltage (LTL), enter Sending End Voltage (V_s), Receiving End Voltage (V_r), Propagation Constant (γ), Length (L) & Characteristic Impedance (Z₀) and hit the calculate button. Here is how the Receiving End Current using Sending End Voltage (LTL) calculation can be explained with given input values -> -172.667705 = (189570-(8880*cosh(1.24*3)))/(48.989*sinh(1.24*3)).

FAQ

What is Receiving End Current using Sending End Voltage (LTL)?

The Receiving End Current using Sending End Voltage (LTL) formula is defined as the current at the receiving end of the long transmission lines and is represented as I_r = (V_s-(V_r*cosh(γ*L)))/(Z₀*sinh(γ*L)) or Receiving End Current = (Sending End Voltage-(Receiving End Voltage*cosh(Propagation Constant*Length)))/(Characteristic Impedance*sinh(Propagation Constant*Length)). Sending end voltage is the voltage at the sending end of a long transmission line, Receiving end voltage is the voltage developed at the receiving 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 & 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 Receiving End Current using Sending End Voltage (LTL)?

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

In this formula, Receiving End Current uses Sending End Voltage, Receiving End Voltage, Propagation Constant, Length & Characteristic Impedance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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