A μ-analysis approach to power system stability robustness evaluation

Robust pole placement for power systems using two‐dimensional membership fuzzy constrained controllers

“…• Note that if J = r 2 − m 1 − σ 1 2 − ω ) > 0 holds, the poles are guaranteed to lie inside the desired circle. To be on the safe side, the problem is tackled as a maximisation optimisation problem in (9).…”

“…To make the performance of a PSS robust, the design algorithm must take into consideration power system uncertainty due to load variation. Power system uncertainty can be modelled in different approximations: interval plant [5,6], polytopic form [7], normbounded form [8], μ-synthesis [9], and linear fractional transformation [10].…”

Computational framework combining static and transient power system security evaluation using uncertainties

“…The probabilistic approach may be addressed with both analytical techniques [14][15][16][17], and numerical techniques [18][19][20][21] based on standard enumeration, Monte Carlo simulation, or even ad-hoc strategies such as the structured singular value theory (l-analysis) [22,23].…”

Comprehensive learning bat algorithm for optimal coordinated tuning of power system stabilizers and static VAR compensator in power systems

“…Several analytical approaches, based on traditional control theory, have been used to design robust power system controllers such as H∞ optimization techniques (T.C. Yang 1997), structured singular value (SSV) (Castellanos et al 2008), and Bilinear matrix inequalities (de Campos et al 2014). These designs face the common problems of the selection of weighting functions, pole-zero cancellation, and their requirements for higher order controllers which make them less common in applications.…”