Impact of the Exciter Voltage Limit to Power System Small Signal Stability Region

Abstract

We investigate the influence of non-differential components to the power system small signal stability region in this paper. A method named unified expression function (UEF) is introduced to describe the piecewise, continuous and nondifferential function in the small signal stability study. It converts non-differential points of the original function to poles of the UEF's derivative function. Then the derivative at those poles can be approximated by UEF's left-hand or right-hand derivative limits according to the requirement. Based on this method, impact of the exciter voltage limit to power system small signal stability region is then deeply discussed using a simple three-bus power system. We find that the exciter voltage limit can change elements of the system Jacobian matrix so as to cause jump of the system critical eigenvalue. As a result, two new Hopf bifurcation boundaries and a new instability hole emerge in the small signal stability region. When the exciter voltage limit varies, the new instability hole and the new Hopf bifurcation boundaries will change significantly. It makes the topological characteristics of the small signal stability region much more complicated. Since there are many non-differential components in power systems, they should be correctly considered in power system stability studies. . His current research interests include application of probabilistic method to system planning, power system stability and control, power system reliability and security, and AI application to power system.

Impact of Increased Frequency Excitation System on Stability of Synchronous Generator

“…2 of Lithuanian power plant. Small signal stability analysis allows simulate transients of the linearized model [4]. The analysis shows if the generator operates at rated conditions (P * = 1; Q * = 0.85; U * = 1, where P * and Q * are the active and reactive output power in p.u.…”

Impact of the StatCom on the power system feasibility region boundary

“…In this case, the system may lose its stability well before the point of collapse is reached. An extension to this study was presented in [9] by investigating the impact of the exciter voltage limit. It was found that these limits change the feasibility boundary and produce a new hole inside the feasibility region, such that the topological characteristic of this region become even more complicated.…”