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Receiving End Power is defined as the power at receiving end in a short transmission line. It represents the actual power delivered to the load after accounting for line losses and phase differences.
The calculator uses the formula:
Where:
Explanation: This formula calculates the three-phase power at the receiving end by multiplying the line voltage, line current, power factor (cosine of phase angle), and the factor 3 for three-phase systems.
Details: Accurate calculation of receiving end power is crucial for power system analysis, load flow studies, efficiency calculations, and determining the actual power delivered to consumers in electrical transmission systems.
Tips: Enter receiving end voltage in volts, receiving end current in amperes, and receiving end phase angle in radians. All values must be valid positive numbers.
Q1: Why is the factor 3 used in the formula?
A: The factor 3 accounts for the three-phase nature of the power system, converting per-phase quantities to total three-phase power.
Q2: What is the significance of the phase angle?
A: The phase angle difference between voltage and current determines the power factor, which indicates how effectively the power is being used by the load.
Q3: How does this differ from sending end power?
A: Receiving end power is the power delivered to the load, while sending end power is the power supplied from the source. The difference accounts for line losses.
Q4: What are typical values for receiving end power?
A: Values vary widely depending on the system size and load, ranging from kilowatts to megawatts in practical power systems.
Q5: Can this formula be used for single-phase systems?
A: For single-phase systems, the formula would be \( P_r = V_r \times I_r \times \cos(\Phi_r) \) without the factor of 3.