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Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line. It is a crucial parameter in power system analysis and transmission line design.
The calculator uses the formula:
Where:
Explanation: This formula calculates the current at the receiving end of a three-phase short transmission line using the power, voltage, and power factor angle at the receiving end.
Details: Accurate calculation of receiving end current is essential for proper sizing of transmission line components, voltage regulation analysis, and system protection design in power transmission systems.
Tips: Enter receiving end power in watts, receiving end voltage in volts, and receiving end phase angle in radians. All values must be valid (power > 0, voltage > 0).
Q1: Why is the cosine function used in this formula?
A: The cosine function accounts for the power factor at the receiving end, which represents the phase difference between voltage and current.
Q2: What is the significance of the factor 3 in the denominator?
A: The factor 3 accounts for the three-phase nature of the power system in the calculation.
Q3: What are typical units for these parameters?
A: Power is typically measured in watts or megawatts, voltage in volts or kilovolts, phase angle in radians or degrees, and current in amperes.
Q4: Can this formula be used for single-phase systems?
A: For single-phase systems, the formula would be \( I_r = \frac{P_r}{V_r \times \cos(\Phi_r)} \) without the factor 3.
Q5: What are the limitations of this calculation?
A: This calculation assumes balanced three-phase conditions and does not account for line losses or impedance effects in longer transmission lines.