Receiving End Angle Using Sending End Power In End Condenser Method Calculator

Formula Used:

\[ \Phi_{r(ecm)} = \cos^{-1}\left(\frac{P_{s(ecm)} - P_{loss(ecm)}}{3 \times I_{r(ecm)} \times V_{r(ecm)}}\right) \]

Sending End Power in ECM (P_s(ecm)):

Watt

Power Loss in ECM (P_loss(ecm)):

Watt

Receiving End Current in ECM (I_r(ecm)):

Ampere

Receiving End Voltage in ECM (V_r(ecm)):

Volt

Receiving End Phase Angle in ECM (Φ_r(ecm)):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Receiving End Phase Angle in ECM?

The Receiving End Phase Angle in ECM (End Condenser Method) is the difference between the phasors of current and voltage at the receiving end of a transmission line. It represents the phase shift between voltage and current at the load end of the transmission system.

2. How Does the Calculator Work?

The calculator uses the ECM formula:

\[ \Phi_{r(ecm)} = \cos^{-1}\left(\frac{P_{s(ecm)} - P_{loss(ecm)}}{3 \times I_{r(ecm)} \times V_{r(ecm)}}\right) \]

Where:

\( \Phi_{r(ecm)} \) — Receiving End Phase Angle in ECM (degrees)
\( P_{s(ecm)} \) — Sending End Power in ECM (Watt)
\( P_{loss(ecm)} \) — Power Loss in ECM (Watt)
\( I_{r(ecm)} \) — Receiving End Current in ECM (Ampere)
\( V_{r(ecm)} \) — Receiving End Voltage in ECM (Volt)

Explanation: The formula calculates the phase angle by determining the power factor at the receiving end using the relationship between real power, voltage, and current.

3. Importance of Receiving End Phase Angle Calculation

Details: Calculating the receiving end phase angle is crucial for power system analysis, voltage regulation, power factor correction, and ensuring efficient power transmission in electrical networks.

4. Using the Calculator

Tips: Enter all values in appropriate units (Watts for power, Amperes for current, Volts for voltage). Ensure that the value inside the inverse cosine function remains between -1 and 1 for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the End Condenser Method?
A: The End Condenser Method is used for medium transmission lines to account for capacitance effects and provide more accurate calculations of various parameters including phase angles.

Q2: What are typical values for receiving end phase angle?
A: Phase angles typically range from 0° to 90°, with values closer to 0° indicating better power factor and more efficient power transfer.

Q3: How does power loss affect the phase angle calculation?
A: Power loss represents the energy dissipated in the transmission line, which affects the relationship between sending and receiving end powers and consequently influences the phase angle calculation.

Q4: Can this calculator be used for three-phase systems?
A: Yes, the formula is specifically designed for three-phase systems as indicated by the factor of 3 in the denominator.

Q5: What should I do if I get an error message?
A: If you receive an error about the value inside acos, check that your input values are physically realistic and that (Ps - Ploss) divided by (3×Ir×Vr) results in a value between -1 and 1.