Decentralized Robust Saturated Control of Power Systems Using Reachable Sets

Soliman, Hisham M.; Yousef, Hassan; Abri, Rashid Al; El-Metwally, K.A.

doi:10.1155/2018/2563834

Cited by 6 publications

(5 citation statements)

References 36 publications

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“…For PSS tuning, different techniques such as classical [6,7] , intelligent [8] , adaptive [9] , robust [10][11][12][13][14][15] , switching control [16] methods are reported. However, considering the variable nature of the loads (causing system uncertainty), the robust control is the best choice.…”

Section: Nomenclaturementioning

confidence: 99%

“…The system is robustly stable if and only if the following four Kharitonov polynomials are stable [17] . (10) (11) (12) (13) Note that ( 9) is a polynomial of descending power of s. Whereas, (10-13) are polynomials of ascending powers of s. The "-" and "+" show the minimum and maximum bounds of the polynomial coefficients. In the Kharitonov's theorem, the p(s) is considered as the closed loop polynomial.…”

Section: Kharitonov's Theoremmentioning

confidence: 99%

See 1 more Smart Citation

Roust Power System Stabilizer Design Using Kharitonov’s Theorem: A Case Study

Soliman

Albadi

Al-Sheriyani

et al. 2019

electr. sci. & eng.

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This paper proposes a robust power system stabilizer(PSS) for a steam synchronous generator in Barka II power station. The PSS should be capable of damping small-disturbance oscillations (inherently existing in power systems due to e.g. load changes, lines switching...etc.) within a certain settling time for different load conditions. Also, the proposed PSS must have the conventional structure and its parameters must not be violated. To achieve this goal, robust control provides many advantages. The suggested controller is tuned by the Kharitonov’s theorem and uses the standard structure employed in industry. The problem is cast into a nonlinear constrained optimization problem to achieve the desired settling time without violating the practical values of the controller parameters. Performance of the robust PSS is evaluated by several simulations in the presence of system uncertainty due to load changes.

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Section: Nomenclaturementioning

confidence: 99%

Section: Kharitonov's Theoremmentioning

confidence: 99%

Roust Power System Stabilizer Design Using Kharitonov’s Theorem: A Case Study

Soliman

Albadi

Al-Sheriyani

et al. 2019

electr. sci. & eng.

View full text Add to dashboard Cite

show abstract

“…The wide‐area PSS 22 uses MFAC, and needs input and output information at regular intervals. A decentralized controller 23 is developed using invariant ellipsoid and LMI toolbox, and the drawback with this methodology is finding the weighing factor. The entire wide region is split into small sections, and FL switching is applied to swap between controllers 24 of small sections to provide sufficient damping.…”

Section: Introductionmentioning

confidence: 99%

Control constraint‐based optimal PID‐PSS design for a widespread operating power system using SAR algorithm

Vijaya

Mangipudi²,

Manyala

2021

Int Trans Electr Energ Syst

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Summary Nowaday's tuning of a power system stabilizer (PSS) over widespread operating conditions to safeguard the power system stability is a challenging task to power engineers. Therefore, there is a need to develop a robust and reliable PSS to produce clean and sustainable energy for power generation. In this research work, a control constraint‐based optimal proportional, integral, and derivative (PID)‐PSS using nature‐inspired search optimization technique called search‐and‐rescue algorithm (SAR) is developed to suppress the low‐frequency oscillations (LFOs) in a power system operating in a wide range of operational states. The wide variations in the system operating conditions are captured by the coefficients of interval polynomial and then simple inequality conditions are attained to assure the power system stability. Furthermore, a multi‐objective function (MOF) is formulated to enhance the operation of the proposed PID‐PSS for a widespread operating state and also to encounter practical working conditions. A human search‐based optimization algorithm, that is, SAR, is implemented to acquire the PID‐PSS gains. The design resilience of the proposed PID‐PSS is investigated using two test cases of a one‐machine infinite‐bus (OMIB) power system operating at a widespread and also verified for static and dynamic mechanical disturbances. The simulation results show that the proposed optimal PID‐PSS controller outperforms the most prominent controllers in the recent literature.

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“…e collection of these control laws constitutes the control structure of the whole interconnected system. Some interesting results in this field are presented in [5,[8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Observer-Based Decentralized Tracking Control with Preview Action for a Class of Nonlinear Interconnected Systems

2020

Complexity

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In this paper, for the first time, the observer-based decentralized output tracking control problem with preview action for a class of interconnected nonlinear systems is converted into a regulation problem for N augmented error subsystems composed of the tracking error dynamics, the difference equation of the state observer, and the available future reference trajectory dynamics associated with each individual subsystem. The developed innovative formulation of an observer-based decentralized preview tracking control scheme consists of the integral control action, the observer-based state feedback control action, and the preview action of the desired trajectory. The controller design feasibility conditions are formulated in terms of a linear matrix inequality (LMI) by using the Lyapunov function approach to ensure the existence of the suggested observer-based decentralized control strategy. Furthermore, both decentralized observer gain matrices and decentralized tracking controller gain matrices can be efficiently and simultaneously computed through a one-step LMI procedure. Stability analysis of the closed-loop augmented subsystem is carried out to illustrate that all tracking errors asymptotically converge toward zero. Finally, a numerical example is provided to demonstrate the effectiveness of the suggested control approach.

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Decentralized Robust Saturated Control of Power Systems Using Reachable Sets

Cited by 6 publications

References 36 publications

Roust Power System Stabilizer Design Using Kharitonov’s Theorem: A Case Study

Roust Power System Stabilizer Design Using Kharitonov’s Theorem: A Case Study

Control constraint‐based optimal PID‐PSS design for a widespread operating power system using SAR algorithm

Observer-Based Decentralized Tracking Control with Preview Action for a Class of Nonlinear Interconnected Systems

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