Load Frequency Regulator in Interconnected Power System Using Second-Order Sliding Mode Control Combined with State Estimator

Tran, Anh-Tuan; Minh, Bui Le Ngoc; Huynh, Van Van; Tran, Phong Thanh; Amaefule, Emmanuel Nduka; Phan, Van-Duc; Nguyen, Thi Kim Oanh

doi:10.3390/en14040863

Cited by 20 publications

(25 citation statements)

References 32 publications

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“…Its main favorable properties are robustness with respect to external disturbances [10] and minimal requirements of computational power. Due to these advantages sliding mode control is frequently used in electric drives, mechanical systems, and many diverse practical systems [1]- [8], [11], [12]. The basis of this methodology has been developed in the previous century [13], [14], however it still is an active research field both from the theoretical [15] and practical [16] perspective.…”

Section: Introductionmentioning

confidence: 99%

IAE Minimization in Sliding Mode Control With Input and Velocity Constraints

Pietrala¹,

Leśniewski²,

Bartoszewicz³

2022

IEEE Access

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In this work an optimal sliding mode controller for second order, nonlinear systems is proposed. First, the sliding surface is selected to obtain finite time convergence to the desired state. Moreover, to ensure robustness with respect to unknown external disturbances and model uncertainties, the surface is time-varying and at the start of the control process it intersects the point, whose coordinates are defined by the initial state. Thus, the existence of the sliding mode is ensured for the whole control process. Next, admissible values of the hyperplane parameters, that ensure satisfaction of velocity and/or control signal constraints are determined. Lastly, optimal values of these parameters, in terms of integral absolute error (IAE) are calculated. The main motivation of this paper was to obtain the good dynamical performance of the system and robustness by eliminating the reaching phase, overcoming the external, unknown disturbances and obtaining a finite-time convergence of the representative point to the desired state. The other main issue was to include some key limitations such as control signal and velocity constraints in order to facilitate the practical application of this strategy.

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Section: Introductionmentioning

confidence: 99%

IAE Minimization in Sliding Mode Control With Input and Velocity Constraints

Pietrala¹,

Leśniewski²,

Bartoszewicz³

2022

IEEE Access

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“…In [30], a highly robust observer sliding mode is proposed for LFC in a three-area power integrated with two wind turbine plants. Second-order SMC combined with state estimator has recently been proposed for LFC in a two-area interconnected power system [31].…”

Section: Introductionmentioning

confidence: 99%

The Bees Algorithm Tuned Sliding Mode Control for Load Frequency Control in Two-Area Power System

2021

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This paper proposes a design of Sliding Mode Control (SMC) for Load Frequency Control (LFC) in a two-area electrical power system. The mathematical model design of the SMC is derived based on the parameters of the investigated system. In order to achieve the optimal use of the proposed controller, an optimisation tool called the Bees Algorithm (BA) is suggested in this work to tune the parameters of the SMC. The dynamic performance of the power system with SMC employed for LFC is studied by applying a load disturbance of 0.2 pu in area one. To validate the supremacy of the proposed controller, the results are compared with those of recently published works based on Fuzzy Logic Control (FLC) tuned by Teaching–Learning-Based Optimisation (TLBO) algorithm and the traditional PID optimised by Lozi map-based Chaotic Optimisation Algorithm (LCOA). Furthermore, the robustness of SMC-based BA is examined against parametric uncertainties of the electrical power system by simultaneous changes in certain parameters of the testbed system with 40% of their nominal values. Simulation results prove the superiority and the robustness of the proposed SMC as an LFC system for the investigated power system.

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“…Simulation as well as experimental test show the advantages of the new method-a large reduction of the power sharing error as well as the voltage deviation. A related problem of maintaining the supply frequency in interconnected power systems was tackled in [14]. First a state observer was introduced to eliminate the need for measuring all of the state variables.…”

Section: Introductionmentioning

confidence: 99%

Reaching Law Based Sliding Mode Control of Sampled Time Systems

Leśniewski

Bartoszewicz

2021

Energies

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In this paper, discrete time reaching law-based sliding mode control of continuous time systems is considered. In sliding mode control methods, usually the assumption of bounded absolute values of disturbances is used. However in many cases, the rate of change of the disturbance is also bounded. In the presented approach, this knowledge is used to improve the control precision and reduce the undesirable chattering. Another advantage of the proposed method is that the disturbance does not have to satisfy the matching conditions. In the paper two new reaching laws are analyzed, one of them ensures the switching quasi-sliding motion and the other the non-switching motion. For both of them, the robustness is assessed by calculating the quasi-sliding mode band width, as well as the greatest possible state error values. Specifically, the state errors are not considered only at the sampling instants, as is usual for discrete time systems, but the bounds on the continuous values “between” the sampling instants are also derived. Then, the proposed approaches are compared and analyzed with respect to energy expenditure of the control signal.

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Load Frequency Regulator in Interconnected Power System Using Second-Order Sliding Mode Control Combined with State Estimator

Cited by 20 publications

References 32 publications

IAE Minimization in Sliding Mode Control With Input and Velocity Constraints

IAE Minimization in Sliding Mode Control With Input and Velocity Constraints

The Bees Algorithm Tuned Sliding Mode Control for Load Frequency Control in Two-Area Power System

Reaching Law Based Sliding Mode Control of Sampled Time Systems

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