An Improved Interpolation Method for Wind Power Curves

In this paper, a new interpolation formula is proposed to represent real WP curves. The generated curve bears the curvature resemblance to real WP curves, overcoming one of the intrinsic drawbacks of conventional linear, quadratic, and cubic formulas. Moreover, the parameters of this formula can be determined by a system of linear equations, expediting the construction procedure. Furthermore, this formula has a simple structure, adapting the transform procedure of the probability distribution function of stochastic wind speed.

[1]  S. H. Jangamshetti,et al.  Normalized Power Curves as a Tool for Identification of Optimum Wind Turbine Generator Parameters , 2001, IEEE Power Engineering Review.

[2]  Dick Duffey,et al.  Power Generation , 1932, Transactions of the American Institute of Electrical Engineers.

[3]  N. L. Johnson,et al.  Continuous Multivariate Distributions, Volume 1: Models and Applications , 2019 .

[4]  Aarnout Brombacher,et al.  Probability... , 2009, Qual. Reliab. Eng. Int..

[5]  R. Billinton,et al.  Probabilistic assessment of power systems , 2000, Proceedings of the IEEE.

[6]  Paul Giorsetto,et al.  Development of a New Procedure for Reliability Modeling of Wind Turbine Generators , 1983, IEEE Transactions on Power Apparatus and Systems.

[7]  N. L. Johnson,et al.  Continuous Multivariate Distributions: Models and Applications , 2005 .

[8]  A. Leon-Garcia,et al.  Probability, statistics, and random processes for electrical engineering , 2008 .

[9]  X. Liu,et al.  Emission minimisation dispatch constrained by cost and wind power , 2011 .

[10]  M. Madrigal,et al.  An analytical solution to the economic dispatch problem , 2000 .

[11]  David G. Luenberger,et al.  Linear and nonlinear programming , 1984 .

[12]  J. A. Carta,et al.  A review of wind speed probability distributions used in wind energy analysis: Case studies in the Canary Islands , 2009 .

[13]  Philip G. Hill,et al.  Power generation , 1927, Journal of the A.I.E.E..

[14]  Gilbert M. Masters,et al.  Renewable and Efficient Electric Power Systems: Masters/Electric Power Systems , 2004 .

[15]  David C. Yu,et al.  An Economic Dispatch Model Incorporating Wind Power , 2008, IEEE Transactions on Energy Conversion.

[16]  R. Billinton,et al.  Generating capacity adequacy associated with wind energy , 2004, IEEE Transactions on Energy Conversion.

[17]  J. Lobry,et al.  Impact of the Wind Geographical Correlation Level for Reliability Studies , 2007, IEEE Transactions on Power Systems.

[18]  Gilbert M. Masters,et al.  Renewable and Efficient Electric Power Systems , 2004 .

[19]  Li Wang,et al.  A Study on Generator Capacity for Wind Turbines Under Various Tower Heights and Rated Wind Speeds Using Weibull Distribution , 2008, IEEE Transactions on Energy Conversion.

[20]  R. Billinton,et al.  A simplified wind power generation model for reliability evaluation , 2006, IEEE Transactions on Energy Conversion.

[21]  R. Fletcher Practical Methods of Optimization , 1988 .