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Content Provider | IET Digital Library |
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Author | 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 ( x 1 + x 2 s ) / ( 1 + x 3 s ) . 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 x 1 ω , σ , ζ and x 2 ω , σ , ζ with fixed x 3 . 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. |
Starting Page | 5392 |
Ending Page | 5406 |
Page Count | 15 |
ISSN | 17518687 |
Volume Number | 14 |
e-ISSN | 17518695 |
Issue Number | Issue 23, Dec (2020) |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-gtd/14/23 |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2019.1415 |
Journal | IET Generation, Transmission & Distribution |
Publisher Date | 2020-08-28 |
Access Restriction | Open |
Rights Holder | © The Institution of Engineering and Technology |
Subject Keyword | Algebra Control of Electric Power System Control System Analysis Control System Synthesis Controller Parameter Space D-decomposition Decentralised Control Decentralised PSSs Design Electric Power System Stability Image-set Polynomial Iterative Algorithm Iterative Method Multimachine System Multivariable Control System Parametric Uncertainty Polynomial Power System Control Power System Stabilisers Power System Stability Robust Control Robust Multiobjective PSSs Design Stability in Control Theory Synthesis Method Three-parameter Power System Uncertain System |
Content Type | Text |
Resource Type | Article |
Subject | Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering |
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