Sensitivity in Power Systems

Abstract

Sensitivity is defined as the ratio Δx/Δy relating small changes Δx of some dependent variable to small changes Δy of some independent or controllable variable y. In power systems, two dominant types of sensitivity relations are defined, namely 1) sensitivity of one electrical variable, such as the voltage V <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">I</sub> at node i, with respect to another electrical variable, such as reactive production Q <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">j</sub> at node j, and 2) sensitivity of the operating cost F with respect to such electrical variables as the consumption C <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">I</sub> at node i and the production P <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">j</sub> at node j.