Receiving End Angle using Sending End Power in End Condenser Method Calculator

✖Sending End Power in ECM is defined as the power at receiving end of a medium transmission line.ⓘ Sending End Power in ECM [P_s(ecm)]			+10% -10%
✖Power Loss in ECM is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line.ⓘ Power Loss in ECM [P_loss(ecm)]			+10% -10%
✖Receiving End Current in ECM is defined as the magnitude and phase angle of current received at the load end of a medium transmission line.ⓘ Receiving End Current in ECM [I_r(ecm)]			+10% -10%
✖Receiving End Voltage in ECM is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage in ECM [V_r(ecm)]			+10% -10%

✖Receiving End Phase Angle in ECM 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 End Condenser Method [Φ_r(ecm)]

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Receiving End Angle using Sending End Power in End Condenser Method

Formula

`"Φ"_{"r(ecm)"} = acos(("P"_{"s(ecm)"}-"P"_{"loss(ecm)"})/(3*"I"_{"r(ecm)"}*"V"_{"r(ecm)"}))`

Example

`"89.59399°"=acos(("165W"-"85W")/(3*"14.7A"*"256V"))`

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Receiving End Angle using Sending End Power in End Condenser Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Phase Angle in ECM = acos((Sending End Power in ECM-Power Loss in ECM)/(3*Receiving End Current in ECM*Receiving End Voltage in ECM))
Φ_r(ecm) = acos((P_s(ecm)-P_loss(ecm))/(3*I_r(ecm)*V_r(ecm)))
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 ECM - (Measured in Radian) - Receiving End Phase Angle in ECM is the difference between the phasors of current and voltage at the receiving end of a transmission line.
Sending End Power in ECM - (Measured in Watt) - Sending End Power in ECM is defined as the power at receiving end of a medium transmission line.
Power Loss in ECM - (Measured in Watt) - Power Loss in ECM is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line.
Receiving End Current in ECM - (Measured in Ampere) - Receiving End Current in ECM is defined as the magnitude and phase angle of current received at the load end of a medium transmission line.
Receiving End Voltage in ECM - (Measured in Volt) - Receiving End Voltage in ECM is the voltage developed at the receiving end of a transmission line.

STEP 1: Convert Input(s) to Base Unit

Sending End Power in ECM: 165 Watt --> 165 Watt No Conversion Required
Power Loss in ECM: 85 Watt --> 85 Watt No Conversion Required
Receiving End Current in ECM: 14.7 Ampere --> 14.7 Ampere No Conversion Required
Receiving End Voltage in ECM: 256 Volt --> 256 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_r(ecm) = acos((P_s(ecm)-P_loss(ecm))/(3*I_r(ecm)*V_r(ecm))) --> acos((165-85)/(3*14.7*256))

Evaluating ... ...

Φ_r(ecm) = 1.56371009968923

STEP 3: Convert Result to Output's Unit

1.56371009968923 Radian -->89.593989094191 Degree (Check conversion here)

FINAL ANSWER

89.593989094191 ≈ 89.59399 Degree <-- Receiving End Phase Angle in ECM

(Calculation completed in 00.004 seconds)

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< 17 End Condenser Method in Medium Line Calculators

Receiving End Angle using Sending End Power in End Condenser Method

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

Voltage Regulation in End Condenser Method

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

Sending End Current using Impedance in End Condenser Method

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

Receiving End Voltage in End Condenser Method

Go Receiving End Voltage in ECM = Sending End Voltage in ECM-(Sending End Current in ECM*Impedance in ECM)

Sending End Voltage in End Condenser Method

Go Sending End Voltage in ECM = Receiving End Voltage in ECM+(Sending End Current in ECM*Impedance in ECM)

Impedance(ECM)

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

Sending End Current using Losses in End Condenser Method

Go Sending End Current in ECM = sqrt(Power Loss in ECM/(3*Resistance in ECM))

Transmission Efficiency in End Condenser Method

Go Transmission Efficiency in ECM = (Receiving End Power in ECM/Sending End Power in ECM)*100

Receiving End Current in End Condenser Method

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

Sending End Current in End Condenser Method

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

Capacitive Current in End Condenser Method

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

Sending End Power in End Condenser Method

Go Sending End Power in ECM = Receiving End Power in ECM-Power Loss in ECM

Resistance using Losses in End Condenser Method

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

Line Losses in End Condenser Method

Go Power Loss in ECM = 3*Resistance in ECM*Sending End Current in ECM^2

Admittance using A Parameter in End Condenser Method

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

Impedance using A Parameter in End Condenser Method

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

Medium Line A Parameter (LEC)

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

Receiving End Angle using Sending End Power in End Condenser Method Formula

What are the disadvantages of condenser end?

Although the end condenser method for the solution of medium lines is simple to work out calculations, yet it has the following drawbacks. There is a considerable error (about 10%) in calculations because the distributed capacitance has been assumed to be lumped or concentrated.

What is end condenser method?

In this method, the capacitance of the line is lumped or concentrated at the receiving or load end. This method of localizing the line capacitance at the load end overestimates the effects of capacitance.

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

Receiving End Angle using Sending End Power in End Condenser Method calculator uses Receiving End Phase Angle in ECM = acos((Sending End Power in ECM-Power Loss in ECM)/(3*Receiving End Current in ECM*Receiving End Voltage in ECM)) to calculate the Receiving End Phase Angle in ECM, The Receiving End Angle using Sending End Power in End Condenser Method formula is defined as the angle between the receiving end voltage and receiving end current. Receiving End Phase Angle in ECM is denoted by Φ_r(ecm) symbol.

How to calculate Receiving End Angle using Sending End Power in End Condenser Method using this online calculator? To use this online calculator for Receiving End Angle using Sending End Power in End Condenser Method, enter Sending End Power in ECM (P_s(ecm)), Power Loss in ECM (P_loss(ecm)), Receiving End Current in ECM (I_r(ecm)) & Receiving End Voltage in ECM (V_r(ecm)) and hit the calculate button. Here is how the Receiving End Angle using Sending End Power in End Condenser Method calculation can be explained with given input values -> 5133.357 = acos((165-85)/(3*14.7*256)).

FAQ

What is Receiving End Angle using Sending End Power in End Condenser Method?

The Receiving End Angle using Sending End Power in End Condenser Method formula is defined as the angle between the receiving end voltage and receiving end current and is represented as Φ_r(ecm) = acos((P_s(ecm)-P_loss(ecm))/(3*I_r(ecm)*V_r(ecm))) or Receiving End Phase Angle in ECM = acos((Sending End Power in ECM-Power Loss in ECM)/(3*Receiving End Current in ECM*Receiving End Voltage in ECM)). Sending End Power in ECM is defined as the power at receiving end of a medium transmission line, Power Loss in ECM is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line, Receiving End Current in ECM is defined as the magnitude and phase angle of current received at the load end of a medium transmission line & Receiving End Voltage in ECM is the voltage developed at the receiving end of a transmission line.

How to calculate Receiving End Angle using Sending End Power in End Condenser Method?

The Receiving End Angle using Sending End Power in End Condenser Method formula is defined as the angle between the receiving end voltage and receiving end current is calculated using Receiving End Phase Angle in ECM = acos((Sending End Power in ECM-Power Loss in ECM)/(3*Receiving End Current in ECM*Receiving End Voltage in ECM)). To calculate Receiving End Angle using Sending End Power in End Condenser Method, you need Sending End Power in ECM (P_s(ecm)), Power Loss in ECM (P_loss(ecm)), Receiving End Current in ECM (I_r(ecm)) & Receiving End Voltage in ECM (V_r(ecm)). With our tool, you need to enter the respective value for Sending End Power in ECM, Power Loss in ECM, Receiving End Current in ECM & Receiving End Voltage in ECM 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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