Variable structure system control design method based on a differential geometric approach: application to a wind energy conversion subsystem

Valenciaga, Fernando; Puleston, Pablo Federico; Battaiotto, Pedro Eduardo

doi:10.1049/ip-cta:20030976

Cited by 35 publications

(18 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our objective is to design a control current I A in (13) in the presence of model uncertainties and external disturbances such that the rotor speed ω r of the wind turbine in (13) asymptotically tracks a reference speed ω rd , i.e., the tracking error e(t) = ω rd − ω r asymptoticially converges to zero.…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

“…Theorem 1. Consider the closed-loop system consisting of the rotor dynamics (13) satisfying Assumption 1, the reference model (14) and the UDE-based controller (20). Assume that the filter G f (s) is chosen appropriately as a strictly-proper stable filter with unity gain over the spectrum of the lumped term u d = ∆ of uncertainties and disturbances.…”

Section: Ude-based Control Strategymentioning

confidence: 99%

“…Proof: If u d in (17) is known, then the desired error dynamics (23) is obtained after substituting (17) into (13) and calculating the derivative of the error signal e(t) = ω rd − ω r .…”

Section: Ude-based Control Strategymentioning

confidence: 99%

See 2 more Smart Citations

UDE-based robust control of variable-speed wind turbines

Ren

Zhong

2013

IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society

View full text Add to dashboard Cite

In this paper, the UDE (uncertainty and disturbance estimator)-based robust control is investigated for a two-bladed horizontal axis variable speed wind turbine in the presence of model uncertainties and external disturbances. The UDE algorithm is based on the assumption that a signal can be approximated and estimated by using a filter with the appropriate bandwidth. The most important features of the approach are that (i) the employment of UDE makes it possible to estimate the lumped uncertain term which is non-singular with respect to the system state ω r and bounded with respect to the time t; and (ii) it does not require any knowledge (e.g., bounds) about the uncertainties and disturbances, except the information about the bandwidth, during the design process. The asymptotic stability of the closed-loop system is rigorously established and the rotor speed asymptotically tracks a reference speed that maximizes the energy captured by adjusting the armature current of the DC generator. The effectiveness of the proposed approach is demonstrated through simulation studies.

show abstract

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Section: Ude-based Control Strategymentioning

confidence: 99%

See 1 more Smart Citation

UDE-based robust control of variable-speed wind turbines

Ren

Zhong

2013

IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society

View full text Add to dashboard Cite

show abstract

“…The fulfilment of this objective implies controlling the turbine rotation speed to operate at its optimal tip speed ratio ( = opt ) despite the variations of the wind speed. One way to attain such conversion efficiency maximization without resorting to anemometers is to compute a torque reference (T ref ( r )) that defines the locus of maximum conversion efficiency in the turbine characteristic plane (see Figure 4) [12]. The expression for T ref ( r ) can be straightforwardly obtained by evaluating the turbine torque expression (27) at its optimum tip speed ratio = opt [12], then…”

Section: Robust Mimo Sm Control For a Wind Energy Systemmentioning

confidence: 99%

A geometric approach for the design of MIMO sliding controllers. Application to a wind‐driven doubly fed induction generator

Valenciaga

Puleston

Spurgeon

2008

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

SUMMARYThis paper presents a systematic methodology to design controllers for a general class of nonlinear MIMO systems affine in the control in the presence of bounded uncertainties and disturbances. The design method is developed using a theoretical framework based on the combination of a geometric approach and sliding mode techniques. The resulting robust control law guarantees finite time convergence, whereas chattering reduction is achieved by utilizing the minimum discontinuous action required to ensure disturbance rejection. The proposed methodology is applied to the control of a grid-connected wind energy generation system based on a doubly fed induction generator. The control objectives considered in this paper are maximization of the wind energy conversion and reactive power regulation to minimize machine losses.

show abstract

“…In the work of [12] a design method for variable structure system control for a wind energy conversion subsystem is presented. The design is comprised of a turbine directly coupled to a multiple permanent magnet synchronous generator (PMSG), a diode bridge rectifier and a DC/DC converter to adapt voltages.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Control Strategy for Wind Turbine Power Maximization

Barambones

2012

Energies

View full text Add to dashboard Cite

The efficiency of the wind power conversions systems can be greatly improved using an appropriate control algorithm. In this work, a sliding mode control for variable speed wind turbine that incorporates a doubly fed induction generator is described. The electrical system incorporates a wound rotor induction machine with back-to-back three phase power converter bridges between its rotor and the grid. In the presented design the so-called vector control theory is applied, in order to simplify the electrical equations. The proposed control scheme uses stator flux-oriented vector control for the rotor side converter bridge control and grid voltage vector control for the grid side converter bridge control. The stability analysis of the proposed sliding mode controller under disturbances and parameter uncertainties is provided using the Lyapunov stability theory. Finally simulated results show, on the one hand, that the proposed controller provides high-performance dynamic characteristics, and on the other hand, that this scheme is robust with respect to the uncertainties that usually appear in the real systems.

show abstract

Variable structure system control design method based on a differential geometric approach: application to a wind energy conversion subsystem

Cited by 35 publications

References 7 publications

UDE-based robust control of variable-speed wind turbines

UDE-based robust control of variable-speed wind turbines

A geometric approach for the design of MIMO sliding controllers. Application to a wind‐driven doubly fed induction generator

Sliding Mode Control Strategy for Wind Turbine Power Maximization

Contact Info

Product

Resources

About