Abstract
Due to high mechanical inertia and rapid variations in wind speed over time, at variable wind speeds, the problem of operation in the optimal energetic area becomes complex and in due time it is not always solvable. No work has been found that analyzes the energy-optimal operation of a wind system operating at variable wind speeds over time and that considers the variation of the wind speed over time. In this paper, we take into account the evolution of wind speed over time and its measurement with a low-power turbine, which operates with no load at the mechanical angular velocity ωMAX. The optimal velocity is calculated. The energy that is captured by the wind turbine significantly depends on the mechanical angular velocity. In order to perform a function in the maximum power point (MPP) power point area, the load on the electric generator is changed, and the optimum mechanical velocity is estimated, ωOPTIM, knowing that the ratio ωOPTIM/ωMAX does not depend on the time variation of the wind speed.
Highlights
In the literature [1,2,3,4,5,6,7,8,9,10,11,12], the operation of the wind turbine (WT) in the maximum energy area is studied at a constant wind speed; using various mathematical models, data from the manufacturing company and/or obtained in laboratory conditions, which are quite different from those in real conditions operation [13,14,15]
The electrical energy obtained is less than the maximum value that was obtained in a maximum power point (MPP) operation, at optimum mechanical angular velocity (MAV), ωOPTIM
SustaTinhabeiliWty 2T01p9,o1w1 FeOrRchPEaErRacRtEeVriIsEtWic, i.e., the function PWT(ω), at a certain constant velocity in tim2e, showsTahemoapxitmimuaml eanteωrgOyPTiIsM.at the velocity OPTIM, where the power captured by the WT is the maxTimheumop, ttihme aMl PePneprogiyntisonatthtehepovweleorccihtyarωacOtePrTiIsMti,c.where the power captured by the WT is the maximImumpo,rtthaentMpPoPinptsooinnttohne tWheTppoowweerrcchuarrvaectaerrei:stic
Summary
In the literature [1,2,3,4,5,6,7,8,9,10,11,12], the operation of the wind turbine (WT) in the maximum energy area is studied at a constant wind speed; using various mathematical models, data from the manufacturing company and/or obtained in laboratory conditions, which are quite different from those in real conditions operation [13,14,15]. By replacing this value in the function PWT(ω), maximum velocity is obtained, at the wind speed V: PWT−MAX−1 = 1191.5·(V/ωOPTIM − 0.02)e−98.06(V/ωOPTIM)·V3 = 1191.5·(1/33.115 − 0.02)e−98.06(1/33.115)·V3 (14)
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