Abstract

With the gradual increase in the installed capacity of wind turbines, more and more attention has been paid to the economy of wind power. Economic model-predictive control (EMPC) has been developed as an effective advanced control strategy, which can improve the dynamic economy performance of the system. However, the variable-speed wind turbine (VSWT) system widely used is generally nonlinear and highly coupled nonaffine systems, containing multiple economic terms. Therefore, a nonlinear EMPC strategy considering power maximization and mechanical load minimization is proposed based on the comprehensive VSWT model, including the dynamics of the tower and the gearbox in this paper. Three groups of simulations verify the effectiveness and reliability/practicability of the proposed nonlinear EMPC strategy.

Highlights

  • As a consequence of energy shortages around the world, environmental protection requirements, and the higher cost of traditional power, renewable energy sources are receiving a great deal of attention worldwide nowadays

  • Based on Equations (1)–(12), the nonlinear dynamics of the variable-speed wind turbine (VSWT) system can be transformed into the following nonlinear state-space form:

  • nonlinear EMPC (NEMPC) strategy reduces the tower fatigue a lot compared to the classical NMPC strategy from the root mean square (RMS) values of the fatigue on the tower, which proves that the fatigue on the tower can’t be ignored with regards to economic factors

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Summary

Introduction

As a consequence of energy shortages around the world, environmental protection requirements, and the higher cost of traditional power, renewable energy sources are receiving a great deal of attention worldwide nowadays. In multiple [19], a nonlinear (NMPC) strategy is investigated for VSWTthe control for are proposed based on linearizedMPC time-invariant state-space models, guaranteeing actuator both regions two and three by tuning the penalty parameters. The economic cost function seeks the maximum VSWT generated power against the competing penalties regardless of wind input, in order to achieve the best economic operation, as well as the fatigue load mitigation of key mechanical structures, including both drive-shaft torsion and tower fore-aft motion. This control strategy can provide potential improvements in the closed-loop performance, and satisfy the economy in contrast with classical WTC strategies.

Wind Turbine Modeling
The mechanical mechanical structure structure of of the the VSWT
Tower Dynamics
Drive Train
Generator
The Nonlinear State-Space Model of VSWT
NEMPC Strategy for VSWT Control
Economic Cost Function
The Operational and Physical Constraints
The Optimization Problem for the Proposed NEMPC Strategy
Simulations Results
Gradient Normal Wind
Gradient
Stepwise Normal Wind
Simulation
Conclusions
Full Text
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