Sensitivity Analysis has been widely used for voltage control of power grids. Typically, the sensitivity coefficients of network voltages are extracted from the inverse of Jacobian matrix. However, updating these coefficients based on the network operation conditions requires significant consuming time, which may add a new challenge for online voltage control of future power grids with distributed generation (DG), especially in the context of optimization techniques. In this paper, a fast

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... ivity method is presented to find the sensitivity coefficients of network voltages via an analytical derivation. The approach is based on network admittance matrix and does not require extensive computing time, which is an advantage to be implemented in online applications. A 11KV, 75-bus distribution network is used to verify the proposed method. A simple voltage control scenario is also presented to demonstrate the potential application of the proposed sensitivity method.