# Variable Speed Control Of Two-Mass Wind Turbine System Via State Feedback With Adaptation Law

Mohamad Murad, Nor Syaza Farhana (2018) Variable Speed Control Of Two-Mass Wind Turbine System Via State Feedback With Adaptation Law. Masters thesis, UTeM.

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## Abstract

Wind turbine convert kinetic energy from the wind to rotational energy and then to electrical energy.In a wind energy conversion system (WECS),its electrical power control (EPC) side demanded a maximum mechanical power from the mechanical power control (MPC) side despite any intermittent wind and seasonal interference.Therefore,it is necessary to develop a variable speed algorithm for a modern WECS.For a two-mass horizontal axis wind turbine, the rotor and generator stiffness is commonly being neglected in the system dynamic.The inclusion of stiffness in system dynamic introduces integral term in the system expression and hence,incur mathematical complexity in the controller design phase.Contrary,this study consider stiffness as unknown parameter in the wind turbine dynamic.In order to obtain the maximum output power,the design of an algorithm with adaptation law for the speed control of a two-mass wind turbine system with an unknown stiffness is proposed in this research.The algorithm is formulated using a full-state feedback.In pursuance of solving the tracking control as a regulation case,the speed of the turbine is bijective mapped into the error dynamic.The stability of the proposed algorithm is guaranteed by Lyapunov.The adaptation law used in the variable speed algorithm is to successfully acquire the adaptability of the algorithm towards an unknown stiffness.Therein,the estimated stiffness is augmented in the Lyapunov function.The Lie derivative of the function is made into a negative semi-definite via the non-negative control parameters.In order to control the rotor speed to sustain the optimum tip-speed ratio (TSR),as well as obtaining the maximum power output from the turbine,the proposed algorithm is constructed.A MATLAB with Simulink® toolbox is used to validate the effectiveness of the proposed control speed.The simulation result showed that the rotor speed achieved an asymptotic tracking towards the demanded rotor speed irrespective of the stiffness value.The error is proved to be minimized as the integral of absolute error (IAE) obtained for wind turbine with stiffness ranging from 134550 Nmrad-1,269100 Nmrad-1,and 403650 Nmrad-1 are recorded as 0.003088,0.003063 and 0.003088 respectively. These IAE are slightly higher as compared to the IAE for the wind turbine without stiffness which has been recorded as 0.001552. According to the findings of the adaptation law,the algorithm can be adapted to various stiffness value in consequence of the estimated stiffness value.In conclusion,the optimum TSR and output power are acquired through the proposed controlled rotor speed.

Item Type: Thesis (Masters) Wind turbines,Wind power. T Technology > T Technology (General)T Technology > TJ Mechanical engineering and machinery Library > Tesis > FKE Mohd. Nazir Taib 23 Aug 2019 03:34 30 Mar 2022 11:04 http://eprints.utem.edu.my/id/eprint/23309 View Download Statistic