A &amp;#x03BC;-synthesis approach to robust control of a wind turbine

Mirzaei, Mahmood; Niemann, Hans Henrik; Poulsen, Niels Kjølstad

doi:10.1109/cdc.2011.6161124

Cited by 24 publications

(19 citation statements)

References 8 publications

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“…In this paper, the wind model has randomly changed from 15 to 24 m/s (another suggestion: In this paper, the wind model varies from 15 to 24 m/s). In our paper, the wind speed is considered be highly variable at different times [10,11]. As in early times the wind turbine is increasing, then its value is fixed in time and its value dropped in the end times.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…In this work we only consider two degrees of freedom, namely the rotational degree of freedom (DOF) and drivetrain torsion. Figure 1 shows the interconnection between these subsystems [10].…”

Section: Wind Modelmentioning

confidence: 99%

“…The dynamic response of the generator has, therefore, been modeled by a first-order linear model [10]:…”

Section: Aerodynamics Subsystemmentioning

confidence: 99%

“…The main drawback of this method is the chattering phenomenon in the sliding surface. In [10], a robust controller is designed to consider all of the uncertainties. These uncertainties include the uncertainty resulting from the linearization process and small deviations, and uncertainties from spring constant and damping coefficient.…”

Section: Introductionmentioning

confidence: 99%

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Pitch angle control of wind turbine systems in cold weather conditions using $$\mu$$ μ robust controller

Pourseif

Afzalian

2017

Int J Energy Environ Eng

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Wind turbine is a complex nonlinear system that the exact model of this system is not available, so it can be represented as an uncertain system. Thus, the control of this system is an important topic. Most of methods that design controllers for wind turbines consider these systems in suitable weather condition. While many turbines work in cold weather condition, in this paper, wind turbine is considered in cold weather, and in ice on turbine blades are considered as model uncertainties. A robust controller is designed for the wind turbine, in order to control the pitch angle. Performance of the proposed controller is evaluated in a comparison study.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Wind Modelmentioning

confidence: 99%

“…The dynamic response of the generator has, therefore, been modeled by a first-order linear model [10]:…”

Section: Aerodynamics Subsystemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Pitch angle control of wind turbine systems in cold weather conditions using $$\mu$$ μ robust controller

Pourseif

Afzalian

2017

Int J Energy Environ Eng

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“…On the other hand, they can reduce structural fatigue and therefore increase the lifetime of the wind turbine. There are several methods for wind turbine control ranging from classical control methods [1] which are the most used methods in real applications, to advanced control methods which have been the focus of research in the past few years [2]; gain scheduling [3] [5], nonlinear control [6], robust control [7], model predictive control [8], µ-Synthesis design [9] are just a few. Advanced model based control methods are thought to be the future of wind turbine control as they can conveniently employ new generations of sensors on wind turbines (e.g.…”

Section: A Wind Turbine Controlmentioning

confidence: 99%

Robust model predictive control of a wind turbine

Mirzaei

Poulsen

Niemann

2012

2012 American Control Conference (ACC)

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Abstract-In this work the problem of robust model predictive control (robust MPC) of a wind turbine in the full load region is considered. A minimax robust MPC approach is used to tackle the problem. Nonlinear dynamics of the wind turbine are derived by combining blade element momentum (BEM) theory and first principle modeling of the turbine flexible structure. Thereafter the nonlinear model is linearized using Taylor series expansion around system operating points. Operating points are determined by effective wind speed and an extended Kalman filter (EKF) is employed to estimate this. In addition, a new sensor is introduced in the EKF to give faster estimations. Wind speed estimation error is used to assess uncertainties in the linearized model. Significant uncertainties are considered to be in the gain of the system (B matrix of the state space model). Therefore this special structure of the uncertain system is employed and a norm-bounded uncertainty model is used to formulate a minimax model predictive control. The resulting optimization problem is simplified by semidefinite relaxation and the controller obtained is applied on a full complexity, high fidelity wind turbine model. Finally simulation results are presented. First a comparison between PI and robust MPC is given. Afterwards simulations are done for a realization of turbulent wind with uniform profile based on the IEC standard.

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Mode decomposition approach in robust control design for horizontal axis wind turbines

Poureh

Nobakhti

2019

Wind Energy

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A robust multivariable strategy for pitch and torque control design of variable-speed variable-pitch wind turbines in the full load region is introduced in this paper. The pitch and torque control loops that share the tracking and active damping of drivetrain torsional mode objectives are designed simultaneously using a novel decomposition scheme. This permits the systematic design of robust multivariable controllers for wind turbines in a manner that facilitates industrial application. We achieve this by making the process of weighting function design fast, intuitive, and simple and by giving the designer a clear insight on the compromising aspects of the various control system objectives. FAST simulation is used to demonstrate application of the method. 1 Nomenclature: I G , I R , generator and rotor moment of inertia; K s , B s , torsional stiffness and damping of drivetrain; q GeAz , q RotAz , generator and rotor azimuth angles; N g , gearbox coefficient; g , r , generator and rotor angular speed; T a , T g , rotor aerodynamic and generator torque; P a , P g , rotor aerodynamic and generator power; T g 0 , g 0 , rated value of generator torque and generator angular speed; a , n a , damping ratio and natural frequency of pitch subsystem; e , n e , damping ratio and natural frequency of electrical subsystem; A, area of rotor; V, wind speed;, pitch angle; , blade tip speed ratio; , air density. 312

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A μ-synthesis approach to robust control of a wind turbine

Cited by 24 publications

References 8 publications

Pitch angle control of wind turbine systems in cold weather conditions using $$\mu$$ μ robust controller

Pitch angle control of wind turbine systems in cold weather conditions using $$\mu$$ μ robust controller

Robust model predictive control of a wind turbine

Mode decomposition approach in robust control design for horizontal axis wind turbines

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