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Title: Optimization Under Uncertainty for Wake Steering Strategies

Abstract

Offsetting turbines' yaw orientations from incoming wind is a powerful tool that may be leveraged to reduce undesirable wake effects on downstream turbines. First, we examine a simple two-turbine case to gain intuition as to how inflow direction uncertainty affects the optimal solution. The turbines are modeled with unidirectional inflow such that one turbine directly wakes the other, using ten rotor diameter spacing. We perform optimization under uncertainty (OUU) via a parameter sweep of the front turbine. The OUU solution generally prefers less steering. We then do this optimization for a 60-turbine wind farm with unidirectional inflow, varying the degree of inflow uncertainty and approaching this OUU problem by nesting a polynomial chaos expansion uncertainty quantification routine within an outer optimization. We examined how different levels of uncertainty in the inflow direction effect the ratio of the expected values of deterministic and OUU solutions for steering strategies in the large wind farm, assuming the directional uncertainty used to reach said OUU solution (this ratio is defined as the value of the stochastic solution or VSS).

Authors:
 [1];  [1];  [1];  [1]; ORCiD logo [1];  [2]
  1. National Renewable Energy Laboratory (NREL), Golden, CO (United States)
  2. Brigham Young University
Publication Date:
Research Org.:
National Renewable Energy Lab. (NREL), Golden, CO (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Wind and Water Technologies Office (EE-4W)
OSTI Identifier:
1374526
Report Number(s):
NREL/PR-5000-68865
Journal ID: ISSN 1742--6588
DOE Contract Number:  
AC36-08GO28308
Resource Type:
Conference
Resource Relation:
Journal Volume: 854; Conference: Presented at the Wind Energy Science Conference (WESC) 2017, 26-29 June 2017, Lyngby, Denmark
Country of Publication:
United States
Language:
English
Subject:
17 WIND ENERGY; systems engineering; wind energy; optimization; optimization under uncertainty; wake steering

Citation Formats

Quick, Julian, Annoni, Jennifer, King, Ryan N, Dykes, Katherine L, Fleming, Paul A, and Ning, Andrew. Optimization Under Uncertainty for Wake Steering Strategies. United States: N. p., 2017. Web. doi:10.1088/1742-6596/854/1/012036.
Quick, Julian, Annoni, Jennifer, King, Ryan N, Dykes, Katherine L, Fleming, Paul A, & Ning, Andrew. Optimization Under Uncertainty for Wake Steering Strategies. United States. doi:10.1088/1742-6596/854/1/012036.
Quick, Julian, Annoni, Jennifer, King, Ryan N, Dykes, Katherine L, Fleming, Paul A, and Ning, Andrew. Thu . "Optimization Under Uncertainty for Wake Steering Strategies". United States. doi:10.1088/1742-6596/854/1/012036. https://www.osti.gov/servlets/purl/1374526.
@article{osti_1374526,
title = {Optimization Under Uncertainty for Wake Steering Strategies},
author = {Quick, Julian and Annoni, Jennifer and King, Ryan N and Dykes, Katherine L and Fleming, Paul A and Ning, Andrew},
abstractNote = {Offsetting turbines' yaw orientations from incoming wind is a powerful tool that may be leveraged to reduce undesirable wake effects on downstream turbines. First, we examine a simple two-turbine case to gain intuition as to how inflow direction uncertainty affects the optimal solution. The turbines are modeled with unidirectional inflow such that one turbine directly wakes the other, using ten rotor diameter spacing. We perform optimization under uncertainty (OUU) via a parameter sweep of the front turbine. The OUU solution generally prefers less steering. We then do this optimization for a 60-turbine wind farm with unidirectional inflow, varying the degree of inflow uncertainty and approaching this OUU problem by nesting a polynomial chaos expansion uncertainty quantification routine within an outer optimization. We examined how different levels of uncertainty in the inflow direction effect the ratio of the expected values of deterministic and OUU solutions for steering strategies in the large wind farm, assuming the directional uncertainty used to reach said OUU solution (this ratio is defined as the value of the stochastic solution or VSS).},
doi = {10.1088/1742-6596/854/1/012036},
journal = {},
number = ,
volume = 854,
place = {United States},
year = {Thu Aug 03 00:00:00 EDT 2017},
month = {Thu Aug 03 00:00:00 EDT 2017}
}

Conference:
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