Final answer:
The calculation of the receiving-end voltage for a transmission line under open circuit conditions requires considering the effects of line capacitance.
Step-by-step explanation:
The question pertains to the calculation of the receiving-end line voltage under open circuit conditions for a three-phase transmission line. To determine the voltage, we need to consider the line charging current due to the line's capacitance, which can lead to a phenomenon known as the Ferranti Effect, where the receiving-end voltage is higher than the sending-end voltage in long high-voltage AC transmission lines under light load or open circuit conditions.
The line's inductance and capacitance per phase is given, and we can use these to find the inductive reactance (XL) and capacitive reactance (XC):
XL = 2πfL
XC = 1/(2πfC)
Substitute the given values (f = 50 Hz, L = 1 mH/km, C = 0.01 μF/km) and the length of the line (300 km) to calculate these reactances for the entire line. Since no current flows under open circuit conditions (except the capacitive charging current), the receiving-end voltage increase is due to the capacitive charging effect alone, and can be calculated using the line capacitance and the open circuit condition parameters.
However, the details required to perform the exact calculations are not provided within the question or the reference information provided. Thus, to provide an exact answer, additional parameters, such as the specific method to be used or the detailed line parameters, would be required. Without this critical information, we cannot provide an accurate calculation of the receiving-end line voltage in this scenario.