What is the minimum amount of series capacitive compensation \(N_{\mathrm{C}}\) in percent of the positive-sequence line reactance needed to reduce the number of \(765-\mathrm{kV}\) lines in Example 5.8 from five to four? Assume two intermediate substations with one line section out of service. Also, neglect line losses and assume that the series compensation is sufficiently distributed along the line so as to effectively reduce the series reactance of the equivalent \(\pi\) circuit to \(\mathrm{X}^{\prime}\left(1-N_{\mathrm{C}} / 100ight)\).

Example 5.8

Can five instead of six \(765 \mathrm{kV}\) lines transmit the required power in Example 5.7 if there are two intermediate substations that divide each line into three \(167-\mathrm{km}\) line sections, and if only one line section is out of service?