Sensitivity Analysis of System Power Distribution to UHVAC Line Parameters

Abstract

Variation of the line parameters yields the change of all bus voltages, which need to be considered when quantifying the sensitivity of the power distribution to the line parameter. For long-distance ultra-high voltage AC (UHVAC) lines, the conductance and susceptance parameters of its equivalent model cannot be separated, causing difficulties to calculate the corresponding sensitivity. In this paper, by combining the partial derivatives of all power constraints to the line parameter, the sensitivities of the node voltages to the line parameters are obtained through the matrix form. Considering the variation of the line parameters and bus voltages, the analytical expression of the sensitivity of the power distribution to line parameters is derived. For long-distance UHVAC line, the partial derivatives of the admittance to the line parameters are determined by comparing the errors between the actual values from the continuous parameter modified method and the calculated values with different slopes, and the corresponding sensitivities are obtained based on the partial derivatives. The modified two-region IEEE RTS- 96 test system is applied to validate the feasibility and accuracy of the proposed model.