Robust stabilisation of power systems with random abrupt changes

Soliman, Hisham M.; Shafiq, Muhammad

doi:10.1049/iet-gtd.2014.1111

Cited by 24 publications

(24 citation statements)

References 23 publications

(14 reference statements)

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“…Step 2: Solve the following optimization problem for K c , K o and α i . Minimize α i subject to the following LMI constraints I M P P P C K P A P BK P M P P P P B K A C K A P BK P N N P BK P A P (10) Denote α i * as the minimized value of α i .…”

Section: Algorithm 31mentioning

confidence: 99%

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Design of Observer-Based Robust Power System Stabilizers

Soliman

2016

IJECE

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<p>Power systems are subject to undesirable small oscillations that might grow to cause system shutdown and consequently great loss of national economy. The present manuscript proposes two designs for observer-based robust power system stabilizer (PSS) using Linear Matrix Inequality (LMI) approach to damp such oscillations. A model to describe power system dynamics for different loads is derived in the norm-bounded form. The first controller design is based on the derived model to achieve robust stability against load variation. The design is based on a new Bilinear matrix inequality (BMI) condition. The BMI optimization is solved interatively in terms of Linear Matrix Inequality (LMI) framework. The condition contains a symmetric positive definite full matrix to be obtained, rather than the commonly used block diagonal form. The difficulty in finding a feasible solution is thus alleviated. The resulting LMI is of small size, easy to solve. The second PSS design shifts the closed loop poles in a desired region so as to achieve a favorite settling time and damping ratio via a non-iterative solution to a set of LMIs. The approach provides a systematic way to design a robust output feedback PSS which guarantees good dynamic performance for different loads. <span style="font-size: 10px;">Simulation results based on single-machine and multi-machine power system models verify the ability of the proposed PSS to satisfy control objectives for a wide range of load conditions.</span></p>

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Section: Algorithm 31mentioning

confidence: 99%

“…Stabilization of power systems subject to drastic changes such as controllers' failure, is given in [8], [9]. [10] models power systems subject to a series of lightning strokes, and the consequent circuit breakers autoreclosure, as a Markov chain. The PSS is then designed to tackle this situation.…”

Section: Introductionmentioning

confidence: 99%

Design of Observer-Based Robust Power System Stabilizers

Soliman

2016

IJECE

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“…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 modeled in different approximations: interval plant (Soliman, Elshafei et al2000;Soliman 2014), polytopic form (Rao and Sen 2000), norm-bounded form (Soliman and Shafiq 2015), μ-synthesis (Castellanos, Messina et al 2008), and linear fractional transformation (Werner, Korba et al 2003). There exist different PSS designs.…”

Section: Introductionmentioning

confidence: 99%

“…In the time domain, the powerful linear matrix inequality (LMI) optimization is used for the synthesis of pole placer PSS (Rao and Sen 2000). Power systems that are subjected to a series of lightning strikes with the associated auto reclosure of circuit breakers are represented as a Markov chain and the pole placer synthesis is presented in Soliman and Shafiq (2015). When a power system is equipped with a FACTS controller in addition to the PSS, using both controllers provides tighter control grip on the system.…”

Section: Introductionmentioning

confidence: 99%

“…When the controller saturation is not considered in the design phase, the performance of the designed control system seriously deteriorates. The design of a robust PSS pole placer taking into consideration the control constraints is reported recently in Soliman and Shafiq (2015) and Soliman and El Metwally (2017). The designs achieve regional pole placement, to obtain good dynamic behavior against load variation; subject to the control limit constraint.…”

Section: Introductionmentioning

confidence: 99%

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Power System Stabilizer Design Using Notch-Filter – Barka Ii (Oman) - Case Study

et al. 2019

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The use of power system stabilizers (PSSs) to damp power system swing mode oscillations is of extreme practical importance. This manuscript presents an approach to the stabilization of a single machine infinite bus system (SMIB). The proposed control is based on the notch-filter approach to cancel the poles near to the imaginary axes. The approach is based on the root locus method. Application to Barka II power station connected to the main interconnected system of Oman is presented. The peak load at summer is considered as the system is near to instability. The Barka SMIB is modeled as a fourth order non-linear system. A linearized model is then obtained using MATLAB/Simulink. The simulation results validate the proposed design for the PSS.

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H_∞ control for networked semi‐Markovian jump systems with generally incomplete transition probabilities and distributed delays

Sun

Zhu

et al. 2023

Adv Control Appl

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The H ∞ control problem for networked semi-Markovian jump systems (S-MJSs) with generally incomplete time-varying transition probabilities (GITTPs) and distributed delays is addressed in this article. Firstly, the TPs considered herein may be exactly known, merely known with lower and upper bounds, or unknown, meanwhile the distributed delays own a probability density function as its kernel. Secondly, the closed-loop networked S-MJSs is established with GITTPSs and distributed delays. Thirdly, to make full use of the characteristic of delay probability distribution, a generalized discrete-Bessel summation inequality and a Lyapunov-Krasovskii functional (LKF) are developed by distributed kernel. Then, by applying the Lyapunov method with generalized summation inequality and utilizing an equivalent transformation method to deal with the unknown TPs, several sufficient conditions that guarantee a prescribed H ∞ performance for networked S-MJSs are established. Eventually, two simulation examples including a single machine infinite bus power systems are presented to illustrate the effectiveness of the proposed theoretical findings.

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Robust stabilisation of power systems with random abrupt changes

Cited by 24 publications

References 23 publications

Design of Observer-Based Robust Power System Stabilizers

Design of Observer-Based Robust Power System Stabilizers

Power System Stabilizer Design Using Notch-Filter – Barka Ii (Oman) - Case Study

H_∞ control for networked semi‐Markovian jump systems with generally incomplete transition probabilities and distributed delays

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Robust stabilisation of power systems with random abrupt changes

Cited by 24 publications

References 23 publications

Design of Observer-Based Robust Power System Stabilizers

Design of Observer-Based Robust Power System Stabilizers

Power System Stabilizer Design Using Notch-Filter – Barka Ii (Oman) - Case Study

H∞ control for networked semi‐Markovian jump systems with generally incomplete transition probabilities and distributed delays

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H_∞ control for networked semi‐Markovian jump systems with generally incomplete transition probabilities and distributed delays