On using Pareto optimality to tune a linear model predictive controller for wind turbines

Odgaard, Peter Fogh; Larsen, Lars Finn Sloth; Wisniewski, Rafael; Hovgaard, Tobias Gybel

doi:10.1016/j.renene.2015.09.067

Cited by 53 publications

(39 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In a multi-objective controller, the ratio between weights in the cost function balances the different control objectives. To find the right balance between the control objectives it is possible to sweep across the weight ratios to form Pareto fronts [32]. These Pareto fronts show the balance between the competitive objectives and can be used to tune the controller.…”

Section: A Pareto Optimal Tuningmentioning

confidence: 99%

Individual Blade Pitch Control of Floating Offshore Wind Turbines for Load Mitigation and Power Regulation

Sarkar

Fitzgerald

Basu

2021

IEEE Trans. Contr. Syst. Technol.

View full text Add to dashboard Cite

This paper proposes a new strategy for individual blade pitch control to regulate power production while simultaneously alleviating structural loads on spar-type floating offshore wind turbines. Individual blade pitch control types of algorithms for offshore wind turbines are sparse in the literature though there are expected benefits from experience on such types of controllers for onshore wind turbines. Wind turbine blade pitch actuators are primarily used to maintain rated power production at above-rated wind speeds and therefore, control algorithms are usually developed only to regulate power production. The scope of reducing structural loads using individual pitch control has been proved to be very promising over the last decade and numerous individual pitch control algorithms have been proposed by researchers. However, reduction in structural loads often results in a degradation in power production and regulation. Furthermore, improving power regulation often has a detrimental effect on the floating platform motion. In this paper, a new control strategy is proposed to achieve the two competing objectives. The proposed controller combines a low authority Linear Quadratic (LQ) controller with an integral action to reduce the 1P (once per revolution) aerodynamic loads while regulating power production using the same pitch actuators that are traditionally used only to optimize power production. The proposed controller is compared against the baseline controller used by state-of-the-art wind turbine simulator FAST using a high fidelity aeroelastic offshore wind turbine model. Numerical results show that the proposed controller offers improved performance in optimizing power production and reducing wind turbine and platform loads compared to the baseline controller over an envelope of windwave loading environment.Index Terms-Floating offshore wind turbines, individual blade pitch control, regulate power production, alleviate aerodynamic loads.

show abstract

Section: A Pareto Optimal Tuningmentioning

confidence: 99%

Individual Blade Pitch Control of Floating Offshore Wind Turbines for Load Mitigation and Power Regulation

Sarkar

Fitzgerald

Basu

2021

IEEE Trans. Contr. Syst. Technol.

View full text Add to dashboard Cite

show abstract

“…For the multi-objective problem, several optimization strategies first form a cost function with weights for different objectives, then solve the optimization problem with the cost function. [24,25] introduced an optimization strategy based on Pareto efficiency to optimize the two-objective optimization problem based on the model predictive control. In this paper, the optimization problem has been divided into two parts and each part deals with two parameters.…”

Section: Coordinated Control Design Through Pareto and Pole Placementmentioning

confidence: 99%

“…The general optimization method usually minimizes a cost function, however, the acquisition of the cost function is subjective. [24,25] proposed another method to solve the problem and optimized the weight matrix in model predictive control: by using the Pareto theory to qualitatively analyze two objectives and obtain a satisfactory solution by calculating the gradient. However, it is still meaningful to further analyze the controller coordination for the WTGS by optimizing the pole position, due to the essential characteristic with the high-order multi-inputs and multi-objectives.…”

Section: Introductionmentioning

confidence: 99%

Coordinated pitch & torque control of large-scale wind turbine based on Pareto efficiency analysis

Lin

Chen

et al. 2018

Energy

View full text Add to dashboard Cite

For the existing pitch and torque control of the wind turbine generator system (WTGS), further development on coordinated control is necessary to improve effectiveness for practical applications. In this paper, the WTGS is modeled as a coupling combination of two subsystems: the generator torque control subsystem and blade pitch control subsystem. Then, the pole positions in each control subsystem are adjusted coordinately to evaluate the controller participation and used as the objective of optimization. A two-level parameters-controllers coordinated optimization scheme is proposed and applied to optimize the controller coordination based on the Pareto optimization theory. Three solutions are obtained through optimization, which includes the optimal torque solution, optimal power solution, and satisfactory solution. Detailed comparisons evaluate the performance of the three selected solutions and provide the optimized controller coordination suggestions according to different requirements.

show abstract

“…Obviously, the above multi-objective H 2 /H ∞ control design needs to minimize J 2 and J ∞ simultaneously, which requires to seek Pareto optimal solutions to achieve the simultaneous minimization similarly as [31,32]. Herein, we adopt the loop algorithm to choose the Pareto optimal like point.…”

Section: X(n )} Y (I) = K(i)x(i)mentioning

confidence: 99%

MixedH₂/H_∞pitch control of wind turbine with a Markovian jump model

Lin

Liu

et al. 2017

International Journal of Control

View full text Add to dashboard Cite

Abstract-This paper proposes a Markovian jump model and the corresponding H 2 /H ∞ control strategy for the wind turbine driven by the stochastic switching wind speed, which can be used to regulate the generator speed in order to harvest the rated power while reducing the fatigue loads on the mechanical side of wind turbine. Through sampling the low-frequency wind speed data into separate intervals, the stochastic characteristic of the steady wind speed can be represented as a Markov process, while the high-frequency wind speed in the each interval is regarded as the disturbance input. Then, the traditional operating points of wind turbine can be divided into separate subregions correspondingly, where the model parameters and the control mode can be fixed in each mode. Then, the mixed H 2 /H ∞ control problem is discussed for such a class of Markovian jump wind turbine working above the rated wind speed to guarantee both the disturbance rejection and the mechanical loads objectives, which can reduce the power volatility and the generator torque fluctuation of the whole transmission mechanism efficiently. Simulation results for a 2 MW wind turbine show the effectiveness of the proposed method.

show abstract

On using Pareto optimality to tune a linear model predictive controller for wind turbines

Cited by 53 publications

References 3 publications

Individual Blade Pitch Control of Floating Offshore Wind Turbines for Load Mitigation and Power Regulation

Individual Blade Pitch Control of Floating Offshore Wind Turbines for Load Mitigation and Power Regulation

Coordinated pitch & torque control of large-scale wind turbine based on Pareto efficiency analysis

MixedH₂/H_∞pitch control of wind turbine with a Markovian jump model

Contact Info

Product

Resources

About

On using Pareto optimality to tune a linear model predictive controller for wind turbines

Cited by 53 publications

References 3 publications

Individual Blade Pitch Control of Floating Offshore Wind Turbines for Load Mitigation and Power Regulation

Individual Blade Pitch Control of Floating Offshore Wind Turbines for Load Mitigation and Power Regulation

Coordinated pitch & torque control of large-scale wind turbine based on Pareto efficiency analysis

MixedH2/H∞pitch control of wind turbine with a Markovian jump model

Contact Info

Product

Resources

About

MixedH₂/H_∞pitch control of wind turbine with a Markovian jump model