Standardized sensitivity coefficients for power system networks

A simple mathematical transformation for converting power-system network sensitivity coefficients from one reference frame to another is derived using a generalized power center concept. The generalized power center consists of a swing power center and an angle center. A standard power center is presented wherein the swing power and angle centers are set equal to the load center. The resulting standardized sensitivity coefficients are independent of the swing bus. Solving a Lagrangian formulation of the economic dispatch problem results in the direct calculation of true system incremental cost only when standardized sensitivity coefficients are used. Results are presented for several practical cases involving the Jacobian and DC load-flow matrices and several different power centers