A novel approach for sensitivity calculations in the radial distribution system

In this paper, a novel approach for calculating the sensitivities of active/reactive power loss and voltage magnitudes with respect to active/reactive power injection at any bus in the radial distribution system is presented. In a radial distribution system, the changes in bus voltages and branch flows due to active/reactive power injection at any bus depend on the network topology. The key to the present method is the formation of a matrix whose structure is dependent only on the network topology. The proposed method is able to calculate the various sensitivity indices for single as well as multiple sources in the system. It is also able to handle all possible radial distribution system structures regardless of the system size proficiently. The results obtained by the proposed method have been compared with the simulated (conventional load flow) and the adjoint network approach results