Receiving End Angle using Sending End Power in Nominal T Method Calculator

✖Sending End Power in T is defined as the power at receiving end of a medium transmission line.ⓘ Sending End Power in T [P_s(t)]			+10% -10%
✖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%
✖Receiving End Voltage in T is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage in T [V_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%

✖Receiving End Phase Angle in T is the difference between the phasors of current and voltage at the receiving end of a transmission line.ⓘ Receiving End Angle using Sending End Power in Nominal T Method [Φ_r(t)]

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Receiving End Angle using Sending End Power in Nominal T Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Φ_r(t) = acos((P_s(t)-P_loss(t))/(V_r(t)*I_r(t)*3))
This formula uses 2 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

Receiving End Phase Angle in T - (Measured in Radian) - Receiving End Phase Angle in T is the difference between the phasors of current and voltage at the receiving end of a transmission line.
Sending End Power in T - (Measured in Watt) - Sending End Power in T is defined as the power at receiving end of a medium transmission line.
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.
Receiving End Voltage in T - (Measured in Volt) - Receiving End Voltage in T is the voltage developed at the receiving end of a 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

Sending End Power in T: 8.2 Watt --> 8.2 Watt No Conversion Required
Power Loss in T: 85.1 Watt --> 85.1 Watt No Conversion Required
Receiving End Voltage in T: 320.2 Volt --> 320.2 Volt 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

Φ_r(t) = acos((P_s(t)-P_loss(t))/(V_r(t)*I_r(t)*3)) --> acos((8.2-85.1)/(320.2*14.72*3))

Evaluating ... ...

Φ_r(t) = 1.57623481371499

STEP 3: Convert Result to Output's Unit

1.57623481371499 Radian -->90.3116023474752 Degree (Check conversion here)

FINAL ANSWER

90.3116023474752 ≈ 90.3116 Degree <-- Receiving End Phase Angle in T

(Calculation completed in 00.004 seconds)

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< Nominal T Method in Medium Line Calculators

Receiving End Angle using Sending End Power in Nominal T Method

LaTeX 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

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

Capacitive Voltage in Nominal T Method

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

Losses in Nominal T Method

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

Receiving End Angle using Sending End Power in Nominal T Method Formula

LaTeX 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))
Φ_r(t) = acos((P_s(t)-P_loss(t))/(V_r(t)*I_r(t)*3))

Which of the following transmission line can be considered as a medium transmission line?

The transmission lines having a length of more than ₈₀ Km and less than ₂₀₀ Km are considered medium transmission lines. Their operating voltage is more than short transmission lines but less than long transmission lines.

How to Calculate Receiving End Angle using Sending End Power in Nominal T Method?

Receiving End Angle using Sending End Power in Nominal T Method calculator uses 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)) to calculate the Receiving End Phase Angle in T, The Receiving End Angle using Sending End Power in Nominal T method formula is defined as the angle between receiving end voltage and receiving end current. Receiving End Phase Angle in T is denoted by Φ_r(t) symbol.

How to calculate Receiving End Angle using Sending End Power in Nominal T Method using this online calculator? To use this online calculator for Receiving End Angle using Sending End Power in Nominal T Method, enter Sending End Power in T (P_s(t)), Power Loss in T (P_loss(t)), Receiving End Voltage in T (V_r(t)) & Receiving End Current in T (I_r(t)) and hit the calculate button. Here is how the Receiving End Angle using Sending End Power in Nominal T Method calculation can be explained with given input values -> 5174.474 = acos((8.2-85.1)/(320.2*14.72*3)).

FAQ

What is Receiving End Angle using Sending End Power in Nominal T Method?

The Receiving End Angle using Sending End Power in Nominal T method formula is defined as the angle between receiving end voltage and receiving end current and is represented as Φ_r(t) = acos((P_s(t)-P_loss(t))/(V_r(t)*I_r(t)*3)) or 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 Power in T is defined as the power at receiving end of a medium transmission line, Power Loss in T is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line, Receiving End Voltage in T is the voltage developed at the receiving end of a 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 Receiving End Angle using Sending End Power in Nominal T Method?

The Receiving End Angle using Sending End Power in Nominal T method formula is defined as the angle between receiving end voltage and receiving end current is calculated using 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)). To calculate Receiving End Angle using Sending End Power in Nominal T Method, you need Sending End Power in T (P_s(t)), Power Loss in T (P_loss(t)), Receiving End Voltage in T (V_r(t)) & Receiving End Current in T (I_r(t)). With our tool, you need to enter the respective value for Sending End Power in T, Power Loss in T, Receiving End Voltage 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.

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