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<front>
<journal-meta>
<journal-id journal-id-type="publisher">WESD</journal-id>
<journal-title-group>
<journal-title>Wind Energy Science Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">WESD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Wind Energ. Sci. Discuss.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2366-7621</issn>
<publisher><publisher-name></publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/wes-2026-154</article-id>
<title-group>
<article-title>A Semi-Analytic Wind-State Predictability Benchmark for Single-Turbine Wind Power Forecasting</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ramadani</surname>
<given-names>Blerant</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Fustic</surname>
<given-names>Vangel</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Faculty of Technical Sciences, Mother Teresa University, Rr. Mirce Acev 4, 1000 Skopje, North Macedonia</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University in Skopje, Rugjer Boshkovikj 18, PO Box 574, 1000 Skopje, North Macedonia</addr-line>
</aff>
<pub-date pub-type="epub">
<day>10</day>
<month>09</month>
<year>2026</year>
</pub-date>
<volume>2026</volume>
<fpage>1</fpage>
<lpage>12</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2026 Blerant Ramadani</copyright-statement>
<copyright-year>2026</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://wes.copernicus.org/preprints/wes-2026-154/">This article is available from https://wes.copernicus.org/preprints/wes-2026-154/</self-uri>
<self-uri xlink:href="https://wes.copernicus.org/preprints/wes-2026-154/wes-2026-154.pdf">The full text article is available as a PDF file from https://wes.copernicus.org/preprints/wes-2026-154/wes-2026-154.pdf</self-uri>
<abstract>
<p>Wind-power forecasting is commonly evaluated in relative terms, so a reported error is difficult to interpret without a reference for the uncertainty implied by the available information. We estimate a model-conditional wind-state predictability benchmark for single-turbine forecasting: the Bayes risk under squared loss implied by a Gaussian autoregressive description of future wind speed, propagated through an empirical turbine power curve and combined with scatter about that curve. The benchmark is conditional on the stated wind-only information set and fitted wind-dynamics model; it is not a universal lower bound for forecasters supplied with additional variables. We evaluate it deterministically by Gauss&amp;ndash;Hermite quadrature over the conditional distribution of future wind speed and empirical averaging over contiguous observed AR(3) wind states. Low-order Taylor approximations overestimate the curve-variation component at long horizons by 22&amp;ndash;61 %, depending on site and smoothing window. A variance decomposition separates the horizon-dependent contribution of wind uncertainty from residual scatter about the curve. Across two operational UK wind farms and nine horizons from one to forty-eight hours, every tested wind-only method has a point-estimate RMSE above its corresponding benchmark at all eighteen site&amp;ndash;horizon combinations; point-estimate gaps range from 0.9 to 4.5 percentage points. The framework provides an interpretable reference for assessing forecast difficulty and for identifying where richer meteorological inputs may add value.</p>
</abstract>
<counts><page-count count="12"/></counts>
</article-meta>
</front>
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