Sending End Current using Losses in Nominal T Method Calculator

✖Power Loss in T is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line.ⓘ Power Loss in T [P_loss(t)]			+10% -10%
✖Resistance in T is a measure of the opposition to current flow in a medium length transmission line.ⓘ Resistance in T [R_t]			+10% -10%
✖Receiving End Current in T is defined as the magnitude and phase angle of current received at the load end of a medium transmission line.ⓘ Receiving End Current in T [I_r(t)]			+10% -10%

✖Sending End Current in T is defined as the amount of current injected into a medium transmission line from the source or injectors.ⓘ Sending End Current using Losses in Nominal T Method [I_s(t)]

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Formula

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Sending End Current using Losses in Nominal T Method

Formula

`"I"_{"s(t)"} = sqrt(("P"_{"loss(t)"}/(3/2)*"R"_{"t"})-("I"_{"r(t)"}^2))`

Example

`"14.48987A"=sqrt(("85.1W"/(3/2)*"7.52Ω")-(("14.72A")^2))`

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Sending End Current using Losses in Nominal T Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Current in T = sqrt((Power Loss in T/(3/2)*Resistance in T)-(Receiving End Current in T^2))
I_s(t) = sqrt((P_loss(t)/(3/2)*R_t)-(I_r(t)^2))
This formula uses 1 Functions, 4 Variables

Functions Used

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

Sending End Current in T - (Measured in Ampere) - Sending End Current in T is defined as the amount of current injected into a medium transmission line from the source or injectors.
Power Loss in T - (Measured in Watt) - Power Loss in T is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line.
Resistance in T - (Measured in Ohm) - Resistance in T is a measure of the opposition to current flow in a medium length transmission line.
Receiving End Current in T - (Measured in Ampere) - Receiving End Current in T is defined as the magnitude and phase angle of current received at the load end of a medium transmission line.

STEP 1: Convert Input(s) to Base Unit

Power Loss in T: 85.1 Watt --> 85.1 Watt No Conversion Required
Resistance in T: 7.52 Ohm --> 7.52 Ohm No Conversion Required
Receiving End Current in T: 14.72 Ampere --> 14.72 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_s(t) = sqrt((P_loss(t)/(3/2)*R_t)-(I_r(t)^2)) --> sqrt((85.1/(3/2)*7.52)-(14.72^2))

Evaluating ... ...

I_s(t) = 14.489867724264

STEP 3: Convert Result to Output's Unit

14.489867724264 Ampere --> No Conversion Required

FINAL ANSWER

14.489867724264 ≈ 14.48987 Ampere <-- Sending End Current in T

(Calculation completed in 00.004 seconds)

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< 19 Nominal T-Method in Medium Line Calculators

Receiving End Angle using Sending End Power in Nominal T Method

Go Receiving End Phase Angle in T = acos((Sending End Power in T-Power Loss in T)/(Receiving End Voltage in T*Receiving End Current in T*3))

Sending End Current using Losses in Nominal T Method

Go Sending End Current in T = sqrt((Power Loss in T/(3/2)*Resistance in T)-(Receiving End Current in T^2))

Voltage Regulation using Nominal T Method

Go Voltage Regulation in T = (Sending End Voltage in T-Receiving End Voltage in T)/Receiving End Voltage in T

Receiving End Voltage using Capacitive Voltage in Nominal T Method

Go Receiving End Voltage in T = Capacitive Voltage in T-((Receiving End Current in T*Impedance in T)/2)

Impedance using Capacitive Voltage in Nominal T Method

Go Impedance in T = 2*(Capacitive Voltage in T-Receiving End Voltage in T)/Receiving End Current in T

Capacitive Voltage in Nominal T Method

Go Capacitive Voltage in T = Receiving End Voltage in T+(Receiving End Current in T*Impedance in T/2)

Losses in Nominal T Method

Go Power Loss in T = 3*(Resistance in T/2)*(Receiving End Current in T^2+Sending End Current in T^2)

Sending End Voltage using Capacitive Voltage in Nominal T Method

Go Sending End Voltage in T = Capacitive Voltage in T+((Sending End Current in T*Impedance in T)/2)

Capacitive Voltage using Sending End Voltage in Nominal T Method

Go Capacitive Voltage in T = Sending End Voltage in T-((Sending End Current in T*Impedance in T)/2)

B Parameter in Nominal T Method

Go B Parameter in T = Impedance in T*(1+(Impedance in T*Admittance in T/4))

A-Parameter for Reciprocal Network in Nominal T Method

Go A Parameter in T = (1+(B Parameter in T*C Parameter))/D Parameter in T

Sending End Voltage using Voltage Regulation in Nominal T Method

Go Sending End Voltage in T = Receiving End Voltage in T*(Voltage Regulation in T+1)

Transmission Efficiency in Nominal T Method

Go Transmission Efficiency in T = Receiving End Power in T/Sending End Power in T

Sending End Current in Nominal T Method

Go Sending End Current in T = Receiving End Current in T+Capacitive Current in T

Capacitive Current in Nominal T Method

Go Capacitive Current in T = Sending End Current in T-Receiving End Current in T

Admittance using A Parameter in Nominal T Method

Go Admittance in T = 2*(A Parameter in T-1)/Impedance in T

Admittance using D Parameter in Nominal T Method

Go Admittance in T = 2*(A Parameter in T-1)/Impedance in T

Impedance using D Parameter in Nominal T Method

Go Impedance in T = 2*(A Parameter in T-1)/Admittance in T

A-Parameter in Nominal T Method

Go A Parameter in T = 1+(Admittance in T*Impedance in T/2)

Sending End Current using Losses in Nominal T Method Formula

Sending End Current in T = sqrt((Power Loss in T/(3/2)*Resistance in T)-(Receiving End Current in T^2))
I_s(t) = sqrt((P_loss(t)/(3/2)*R_t)-(I_r(t)^2))

What is the difference between Nominal T Method and Nominal π Method?

In the Nominal T model of the Transmission line, the whole shunt capacitance of the line is assumed to be lumped at the middle of the line. In the Nominal π Method, the shunt capacitance of each line i.e. phase to neutral is divided into two equal parts.

How to Calculate Sending End Current using Losses in Nominal T Method?

Sending End Current using Losses in Nominal T Method calculator uses Sending End Current in T = sqrt((Power Loss in T/(3/2)*Resistance in T)-(Receiving End Current in T^2)) to calculate the Sending End Current in T, The Sending End Current using Losses in Nominal T method formula is defined as the current at the sending end of the medium transmission lines. Sending End Current in T is denoted by I_s(t) symbol.

How to calculate Sending End Current using Losses in Nominal T Method using this online calculator? To use this online calculator for Sending End Current using Losses in Nominal T Method, enter Power Loss in T (P_loss(t)), Resistance in T (R_t) & Receiving End Current in T (I_r(t)) and hit the calculate button. Here is how the Sending End Current using Losses in Nominal T Method calculation can be explained with given input values -> 14.48987 = sqrt((85.1/(3/2)*7.52)-(14.72^2)).

FAQ

What is Sending End Current using Losses in Nominal T Method?

The Sending End Current using Losses in Nominal T method formula is defined as the current at the sending end of the medium transmission lines and is represented as I_s(t) = sqrt((P_loss(t)/(3/2)*R_t)-(I_r(t)^2)) or Sending End Current in T = sqrt((Power Loss in T/(3/2)*Resistance in T)-(Receiving End Current in T^2)). Power Loss in T is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line, Resistance in T is a measure of the opposition to current flow in a medium length transmission line & Receiving End Current in T is defined as the magnitude and phase angle of current received at the load end of a medium transmission line.

How to calculate Sending End Current using Losses in Nominal T Method?

The Sending End Current using Losses in Nominal T method formula is defined as the current at the sending end of the medium transmission lines is calculated using Sending End Current in T = sqrt((Power Loss in T/(3/2)*Resistance in T)-(Receiving End Current in T^2)). To calculate Sending End Current using Losses in Nominal T Method, you need Power Loss in T (P_loss(t)), Resistance in T (R_t) & Receiving End Current in T (I_r(t)). With our tool, you need to enter the respective value for Power Loss in T, Resistance in T & Receiving End Current in T 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 Sending End Current in T?

In this formula, Sending End Current in T uses Power Loss in T, Resistance in T & Receiving End Current in T. We can use 1 other way(s) to calculate the same, which is/are as follows -

Sending End Current in T = Receiving End Current in T+Capacitive Current in T

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