Abstract:The subject of this paper pertains to sliding mode control and its application in nonlinear electrical power systems as seen in wind energy conversion systems. Due to the robustness in dealing with unmodeled system dynamics, sliding mode control has been widely used in electrical power system applications. This paper presents first and high order sliding mode control schemes for permanent magnet synchronous generator-based wind energy conversion systems. The application of these methods for control using dynamic models of the d-axis and q-axis currents, as well as those of the high speed shaft rotational speed show a high level of efficiency in power extraction from a varying wind resource. Computer simulation results have shown the efficacy of the proposed sliding mode control approaches.
Difficulties in achieving the maximum level of efficiency in power extraction from available wind resources warrant the collective attention of modern control and power systems engineers. A strong movement towards sustainable energy resources, and advances in control system methodologies make previously unattainable levels of efficiency possible. One such promising method is sliding mode control. This control method, touted for its robustness given un-modelled dynamics present in the system, provides ideal characteristics for application in the control of permanent magnet synchronous generators employed in variable speed wind energy conversion systems. Application of this method for control using dynamic models of the d-axis and q-axis currents, as well as those of the high-speed shaft rotational speed results in a high-level efficiency in power extraction from a varying wind resource.
For advanced control applications, research into the use of linear matrix inequalities has yielded a notable amount of work in the area of nonlinear systems. Linear Matrix Inequalities can be formed through the application of desired performance criteria to a general system. By proper selection of a Lyapunov energy function, sufficient conditions to satisfy the performance objectives can be realized. The performance criteria, typically chosen for the application, define the objectives associated with the control. This work presents a control method for discrete-time systems with finite-time boundedness and H∞ performance criteria. The design of the controller corresponds to a system existing with bounded model uncertainties, and in the presence of L2 type external disturbances. Through the use of a linear state feedback control, sufficient conditions which guarantee the finite-time stability and H∞ performance objectives are achieved via the solution of a Linear Matrix Inequality. MATLAB application and simulation is carried out using the field oriented control of a permanent magnet synchronous generator in order to effectively demonstrate the effectiveness of this control strategy in the wind energy conversion system application.
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