Decentralized nonlinear H∞ controller for large scale power systems

Dehghani, Maryam; Nikravesh, S.K.Y.

doi:10.1016/j.ijepes.2011.06.019

Cited by 19 publications

(25 citation statements)

References 21 publications

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“…To solve the problem given by LMI's (28) and (29) and get decentralized controllers, the matrix Q has to be block diagonal; furthermore, some elements inside these blocks have to equal zero, in order to validate equation (20), due to the structure of matrices M and C. Imposing this structure to matrix Q drives the LMI problem to infeasibility in this case. However, we can use an effective approximation to handle this problem.…”

Section: Resultsmentioning

confidence: 99%

“…Considering matrix Q block diagonal, we do not impose those specific elements inside the blocks to equal zero. By doing so, equation (20) becomes an approximation, being no more exact. Then, to ensure that the controller obtained places the closed-loop poles of the power system into the desired region of the complex plane, we have to apply it to the system and plot the closed loop eigenvalues.…”

Section: Resultsmentioning

confidence: 99%

“…It will yield a robust solution for the pole placement problem (i.e., the controller will work for all the operating conditions considered), and then the controller structure can be recovered using (20) and (21). The algorithm was applied to a nine-machine power system (New England-New York), and good results (in terms of performance) were obtained for eight operating points.…”

Section: Discussionmentioning

confidence: 99%

“…Many other techniques have been used to try to ensure adequate performance and stability for power systems, like those presented in [19] (using FACTS devices) and [20] (nonlinear H 1 controllers that employ feedback linearization and LMI's).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Robust and optimal adjustment of Power System Stabilizers through Linear Matrix Inequalities

Campos

Cruz

Zanetta

2012

International Journal of Electrical Power & Energy Systems

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust and optimal adjustment of Power System Stabilizers through Linear Matrix Inequalities

Campos

Cruz

Zanetta

2012

International Journal of Electrical Power & Energy Systems

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“…In order to overcome the drawbacks of the conventional excitation controllers, numerous nonlinear excitation control methods are studied [7][8][9][10][11][12]. By these methods, the nonlinear excitation controllers are designed to improve the transient stability of the systems, but the basic function of the excitation to regulate the terminal voltage is ignored.…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Excitation Controller Design Method for Terminal Voltage Regulation and Transient Stability Enhancement

Huang

Zhang

Duan

et al. 2014

International Journal of Emerging Electric Power Systems

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This paper proposes a cascade control method to design a nonlinear excitation controller to guarantee the terminal voltage regulation and the transient stability. Firstly, a nonlinear automatic voltage regulator (NAVR) in the inner loop is designed to control the terminal voltage exactly. Secondly, the generator model including the NAVR is transformed to be a reduced one. Subsequently, based on the reduced generator model, the nonlinear power system stabilizer in the external loop is designed to enhance the transient stability of the power systems. Furthermore, a coordination strategy is presented to improve the performances of the terminal voltage regulation in the steady state and the stability in the transient state. Finally, the proposed method is verified by numerous simulation results.

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A mesh‐based partitioning algorithm for decreasing conservatism in solving bilinear matrix inequality problems

Javanmardi

Dehghani

Mohammadi

et al. 2023

Optim Control Appl Methods

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SummaryIn this paper, a mesh‐based partitioning algorithm (MBPA) to solve bilinear matrix inequality (BMI) problems is proposed, where the main idea is to divide the solution space of a non‐convex BMI problem into smaller parts in the form of Simplexes through meshing the space. In each simplex, only the concave part of BMI constraints is approximated by piecewise affine matrix (PAM), which eventually leads to a convex sub‐problem. After that, the feasible solution can be easily obtained in each simplex through the linear matrix inequality (LMI) optimization. Although the proposed MBPA exploits PAM approximation, it relaxes several restrictive conditions used in other methods, so, it can be used as an effective approach for solving BMI problems. Various numerical examples on systems from COMPleib library to design static output feedback controller are provided to validate the proposed MBPA. Simulation results reveal the satisfactory performance of MBPA in several examined problems and provide acceptable performance compared to other existing BMI solution algorithms. Comparing the percentage of superiority of MBPA with some existing prominent BMI algorithms in several control problems including spectral abscissa optimization problems, and optimization problems for the closed‐loop systems of COMPleib show that the proposed algorithm is more successful than the previous ones.

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Decentralized nonlinear H∞ controller for large scale power systems

Cited by 19 publications

References 21 publications

Robust and optimal adjustment of Power System Stabilizers through Linear Matrix Inequalities

Robust and optimal adjustment of Power System Stabilizers through Linear Matrix Inequalities

A Nonlinear Excitation Controller Design Method for Terminal Voltage Regulation and Transient Stability Enhancement

A mesh‐based partitioning algorithm for decreasing conservatism in solving bilinear matrix inequality problems

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