Design of variable structure power system stabilisers with desired eigenvalues in the sliding mode

Based on the complete model of the plant, a sliding-mode stabilizing controller for synchronous generators is designed. The block control approach is used in order to derive a nonlinear sliding surface, on which the mechanical dynamics are linearized. This combined approach enables us to compensate the inherent nonlinearities of the generator and to reject high-level external disturbances. A nonlinear observer is designed for estimation of the rotor fluxes and mechanical torque.

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“…Step 1: Define the tracking error as (31) As follows from (27), we have . Therefore, the inverse matrix under condition (26) exists.…”

Section: B Block Control For a Class Of Nonlinear Systemsmentioning

confidence: 99%

Discontinuous Controller for Power Systems: Sliding-Mode Block Control Approach

Loukianov

Cañedo

Utkin

et al. 2004

IEEE Trans. Ind. Electron.

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“…The definition of disturbance is, 7-i* -L S dt (6) e=Ldi * e = -L dl d dt L di+ v dt s (7) So the state function (6) …”

Section: The Structure Of Shunt Active Power Filtermentioning

confidence: 99%

Research of Three phase Shunt Active Power Filter Based on Fuzzy-Sliding Variable Structure Control

2007

2007 IEEE International Conference on Control and Automation

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In order to suppress harmonics and lower power factor due to the widely-used nonlinear load, and on the basis of mathematical model of shunt three-phase active power filter, a kind of shunt three-phase active power filter based on fuzzysliding mode variable structure control strategy is designed. This control strategy combines the sliding mode variable structure control and fuzzy control with reaching law. Application of this method is able to eliminate high frequency flicker caused by the sliding model variable structure control method, as well as make system have strong robustness against model uncertainties and external disturbance, furthermore, it is able to improve the character of reaching segment and to make the tracking errors converge to a neighborhood of zero. This control method is verified by simulation experiment, and the simulation results show that the control method is feasible and the system has good dynamic and static properties.

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“…Recently, the H 2 and H ∞ theory 12, 14, 15 and the sliding mode control (SMC) theory 15–20, also called variable structure control, have been applied to the design of PSS as an effective way improving the performance. The H ∞ method guarantees robust stability of the closed‐loop system, however, it requires an exhaustive search and results in a high order controller 15–17. On the other hand the SMC is quite robust to wide variations in operating point and parameters as well as its relative realisation simplicity 15.…”

Section: Introductionmentioning

confidence: 99%

Observer‐based model following discrete sliding mode PSS for single machine system

Yazıcı

Özdemir

2011

Int Trans Elec Energy Syst

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Power system stabilisers (PSSs) are added to excitation systems of a synchronous generator as a supplementary controller to improve the dynamic stability of a power system by damping the electromechanical oscillations occured in the system. Over the last four decades various approaches, such as phase lead-lag, Proportional-Integral-Derivative (PID), linear quadratic regulator, H 1, sliding mode controller (SMC) and etc., have been reported in the literature for the PSS design. The SMC has some advantages, such as parameter insensitivity and realisation simplicity, over the other approaches. To the best of our knowledge, observer-based model following discrete SMC (OMFDSMC) method has not been used in the PSS design. Therefore, this paper is the first study that used OMFDSMC method in the PSS design in the literature. Simulation results show the effectiveness and robustness of the proposed OMFDSMC-based PSS under normal load operations, operating point and parameters variation conditions. S 1 and S 2 in (13) should be chosen in such a way that (15) is stable. Note from (15) that, the problem of finding the design matrix S 12 is a classical state feedback problem. Therefore, again, one can design S 12 Figure 5. Dynamic responses of Dw for 20% change in K A and T d0 following a 5% change in DT m (a) CPSS, (b) LQR, (c) OMFDSMC, -nominal parameters, -20% changed parameters.30. Hui S, Zak SH. On discrete-time variable structure sliding mode control. Systems and Control Letters 1999; 38:283-288. 31. Ogata K. Discrete-Time Control Systems, Prentice Hall: New Jersey, USA, 1995; 377-633. 32. IEEE Std. 421.5 Recommended practice for excitation system models for power system stability studies, 2005. 33. Lee SS, Park JK. Design of reduced-order observer-based variable structure power system stabiliser for unmeasurable state variables.

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Design of variable structure power system stabilisers with desired eigenvalues in the sliding mode

Abstract: A systematic approach for the design of variable structure power system stabilisers (VSPSS), with desired eigenvalues in the sliding mode is presented. A detailed sensitivity analysis reveals that the VSPSS is quite robust to wide variations in operating load and system parameters.

Cited by 20 publications

References 17 publications

Discontinuous Controller for Power Systems: Sliding-Mode Block Control Approach

Discontinuous Controller for Power Systems: Sliding-Mode Block Control Approach

Research of Three phase Shunt Active Power Filter Based on Fuzzy-Sliding Variable Structure Control

Observer‐based model following discrete sliding mode PSS for single machine system

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