LMI-based robustH2 control design with regional pole constraints for damping power system oscillations

Hardiansyah, Hardiansyah; Furuya, Seizo; Irisawa, Juichi

doi:10.1002/etep.30

Cited by 14 publications

(5 citation statements)

References 22 publications

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“…According to the Definition 4 , Lemma 2 and Lemma 3, we obtain the conditions of the LMI based regional pole assignment for uncertain linear system (9), and that is the following theorem.…”

Section: B Regional Pole Assignment Conditionmentioning

confidence: 98%

“…And both of the two solving processes are complex. Reference [9] presented a linear matrix inequality (LMI) based robust H 2 control design with regional pole constraints for damping power system oscillations. As pointed in [13] that LMI is a powerful formulation for a wide variety of control problems.…”

mentioning

confidence: 99%

“…Therefore if we can place the system poles to some specified regions, then good transient responses can be guaranteed. A lot of researchers have done some work on it [8][9][10][11]. The method addressed in [11] is parametric eigenstructure assignment approach, which parameterized all the solutions to the problem, i.e.…”

mentioning

confidence: 99%

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Robust control of norm-bounded uncertain linear system with regional pole assignment

2009

2009 International Conference on Mechatronics and Automation

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This paper proposes a robust controller design method for an norm-bounded uncertain linear system with disturbance. At First, we derive the necessary and sufficient condition for regional pole assignment for uncertain linear system, then derive the criteria of H 2/H oo performance of uncertain linear system with disturbance. Hence combining them, we get the mixed H 2/H oo controller control with regional assignment for norm-bounded uncertain linear system with disturbance. The problem of the robust controller designed is changed into an optimization problem, and the robust controller is parameterized by the solution of the optimization. Since the optimization problem conditions are expressed in term of linear matrix inequalities, so it makes the proposed method practical utility. Finally the numerical example illustrates the effectiveness of the proposed approach.

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“…According to the Definition 4 , Lemma 2 and Lemma 3, we obtain the conditions of the LMI based regional pole assignment for uncertain linear system (9), and that is the following theorem.…”

Section: B Regional Pole Assignment Conditionmentioning

confidence: 98%

mentioning

confidence: 99%

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Robust control of norm-bounded uncertain linear system with regional pole assignment

2009

2009 International Conference on Mechatronics and Automation

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“…However, it is unable to provide robustness against uncertainties in operating conditions . In order to ensure robustness under varying operating conditions of the system, a linear matrix inequality (LMI)‐based robust H 2 controller is proposed in . The controller in , designed with regional pole constraints, is only able to damp the oscillation due to electromechanical modes.…”

Section: Introductionmentioning

confidence: 99%

“…In order to ensure robustness under varying operating conditions of the system, a linear matrix inequality (LMI)‐based robust H 2 controller is proposed in . The controller in , designed with regional pole constraints, is only able to damp the oscillation due to electromechanical modes. A robust minimax LQG controller is designed with dynamic loads for centralized generation systems which ensures voltage stability over a wide range of operating conditions .…”

Section: Introductionmentioning

confidence: 99%

Voltage control of emerging distribution systems with induction motor loads using robust LQG approach

Roy

Pota

Mahmud

et al. 2013

Int. Trans. Electr. Energ. Syst.

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SUMMARYThis paper identifies a new mode called "critical voltage mode" in emerging distribution systems. The small-signal stability analysis indicates that load voltage dynamics significantly influence the damping of the newly identified mode. This mode has frequency of oscillation between the electromechanical and subsynchronous oscillation of power systems. A novel voltage controller is designed to damp this voltage mode of the system. The controller is designed using the linear quadratic Gaussian (LQG) method with norm-bounded uncertainty. The approach considered in this paper is to find the smallest upper bound on the H 1 norm of the uncertain system and to design an optimal controller based on this bound. The design method requires the solution of a linear matrix inequality. The performance of the designed controller is demonstrated on a distribution test system for different types of induction motors. Simulation results show that the proposed controller with a careful uncertainty modeling has significant performance to improve the voltage profile of the distributed generation system compared to the conventional excitation controller and standard LQG controller.

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LPV Modelling and Gain‐Scheduled Control Approach for the Transient Stabilization of Power Systems

Liu

Mei

2009

IEEJ Transactions Elec Engng

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In this paper, a new control approach is proposed for the transient stabilization of a single-machine infinite-bus power system. The proposed method is based on linear parameter varying (LPV) modeling of the nonlinear power system and the design of a gain-scheduled output feedback controller. It is well-known that when large disturbances or a fault occurs, the nonlinearity inherent in power systems can no longer be ignored. The proposed method can handle the nonlinear model directly. First, we show that the nonlinear model can be transformed equivalently into an LPV system with the rotor angle as the scheduling parameter. Then, a gain-scheduled output feedback controller is designed based on robust pole placement and L 2 -gain minimization. Simulation results verify that the proposed method is better than well-tuned conventional power system stabilizer (PSS) control. 

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LMI-based robustH2 control design with regional pole constraints for damping power system oscillations

Cited by 14 publications

References 22 publications

Robust control of norm-bounded uncertain linear system with regional pole assignment

Robust control of norm-bounded uncertain linear system with regional pole assignment

Voltage control of emerging distribution systems with induction motor loads using robust LQG approach

LPV Modelling and Gain‐Scheduled Control Approach for the Transient Stabilization of Power Systems

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