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- Title
Decentralised design of robust multi‐objective PSSs: D‐decomposition approach.
- Authors
Ayman, Mohamed; Soliman, Mahmoud
- Abstract
This study addresses the problem of determining the set of all robust three‐parameter power system stabilisers having the form (x1+x2s)/(1+x3s). Graphical characterisation of stabilising power system stabilisers (PSSs) is carried out using D‐decomposition, whereas the controller–parameter space is subdivided into root‐invariant regions. Rather than Hurwitz stability, D‐decomposition can parameterise D‐stabilising PSSs that enforce pole‐clustering in a pre‐specified region D to ensure better time‐domain specifications. The convex region of D‐stabilising PSSs is sketched by mapping the σ−ζ contours from the s‐plane onto the controller–parameter plane by two parametric functions x1ω,σ,ζ and x2ω,σ,ζ with fixed x3. The frequency range considered for mapping is initially computed to avoid sweeping over unnecessary frequencies. Based on the geometry of the D‐stability region, analytical expressions are derived to compute optimal σ − ζ PSSs for an arbitrary operating point. Parametric uncertainties are captured by an image‐set polynomial where the region guarantying robust D‐stability of the family is investigated. A computationally effective approach based on stabilising two vertex plants is concluded from the D‐stability region. Extension to multi‐machine systems is treated where decentralised PSSs are synthesised. An iterative algorithm is suggested to modify a set of initial feasible PSSs sequentially while maximising damping indices. Simulation results confirm the efficacy of the suggested method.
- Publication
IET Generation, Transmission & Distribution (Wiley-Blackwell), 2020, Vol 14, Issue 24, p5392
- ISSN
1751-8687
- Publication type
Article
- DOI
10.1049/iet-gtd.2019.1415