{"id":6142,"date":"2026-05-10T06:19:50","date_gmt":"2026-05-09T22:19:50","guid":{"rendered":"\/jase\/?post_type=tkuisotope&#038;p=6142"},"modified":"2026-07-02T22:05:34","modified_gmt":"2026-07-02T14:05:34","slug":"short-term-photovoltaic-power-prediction-based-on-fvs-kelm-method","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=short-term-photovoltaic-power-prediction-based-on-fvs-kelm-method","title":{"rendered":"Short-term photovoltaic power prediction based on FVS-KELM method"},"content":{"rendered":"\n<div class=\"wp-block-tkuwpbs5-bs5-row row article-info\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=6099\" data-type=\"page\" data-id=\"807\">2020<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder-open\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=6128\" data-type=\"page\" data-id=\"4630\">Volume 23, Issue 2<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-6 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div dv_publish\" data-aos=\"normal\"><div class=\"wp-block-post-date\"><time datetime=\"2026-05-10T06:19:50+08:00\">2026-05-10<\/time><\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-row row\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-5 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div au-ol\" data-aos=\"normal\">\n<p>Jun Li<sup>1,2,3<\/sup><a href=\"mailto:lijun691201@mail.lzjtu.cn\"><i class=\"fa fa-envelope\"><\/i><\/a> and Meng Li<sup>1<\/sup><\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>1<\/sup>School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, P.R. China <\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>2<\/sup>Gansu Provincial Engineering Technology Center for Informatization of Logistics Transport Equipment, Lanzhou 730070, P.R.China <\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>3<\/sup>Gansu Provincial Industry Technology Center of Logistics Transport Equipment. Lanzhou 730070, P.R. China<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div\" style=\"margin-top:var(--wp--preset--spacing--40)\" data-aos=\"normal\">\n<p>Received:\u00a0August 29, 2019<br>Accepted:\u00a0February 17, 2020<br>Publication Date:\u00a0May 10, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-7 align-self-start clk=\u5716\u7247\"><img decoding=\"async\" src=\"\/jase\/wp-content\/uploads\/2026\/05\/23_2_13.jpg\" class=\"img-fluid img-fluid mx-auto d-block\" alt=\"\u4e0a\u50b3\u5716\u7247\">\n\n\n<p class=\"has-text-align-center img_caption\">Architecture of FVS-KELM method<\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-small-font-size\"><i class=\"fab fa-creative-commons\"><\/i>&nbsp;<strong>Copyright&nbsp;<\/strong>The Author(s). This is an open access article distributed under the terms of the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\">Creative Commons Attribution&nbsp;License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n<p>Download Citation:&nbsp; <a href=\"\/jase\/wp-content\/uploads\/2026\/05\/V232.0013.bib\" data-type=\"attachment\" data-id=\"6275\" target=\"_blank\" rel=\"noreferrer noopener\">BibTeX <\/a>| <a href=\"http:\/\/dx.doi.org\/10.6180\/jase.202006_23(2).0013\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/dx.doi.org\/10.6180\/jase.202006_23(2).0013<\/a>&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"btn btn-primary article-btn\"><a href=\"\/jase\/wp-content\/uploads\/2026\/05\/13-2019-0266_V23i2.pdf\" data-type=\"attachment\" data-id=\"6300\" target=\"_blank\" rel=\"noreferrer noopener\">Download PDF<\/a><\/p>\n\n\n\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>For the highly nonlinear short-term photovoltaic power problems affected by a variety of factors, a novel modeling method FVS-KELM based on feature vectors selection (FVS) algorithm and kernel extreme learning machine (KELM) is proposed. Firstly, FVS algorithm maps the input data to the high-dimensional feature space through kernel trick, considering the geometric features, selecting the relevant data subset to form the base vector of the subspace. Secondly, the input data is projected onto the feature subspace, and the final prediction model is established by the KELM method, which does not need set the number of the hidden layer nodes, and uses the kernel function representing the unknown nonlinear feature mapping of the hidden layer, so it has good generalization ability. In order to verify the effectiveness of the FVS-KELM modeling method, it is applied to the benchmark photovoltaic power prediction example provided by Global Energy Forecasting Competition 2014 (GEFCOM2014). Under the same condition, the FVS-KELM method is compared with extreme learning machine (ELM), support vector machine (SVM) method etc. The experimental results show that the FVS-KELM method can not only reduce the computational complexity, but also has good prediction accuracy and robustness, and the model has good generalization.<\/p>\n\n\n\n<p><em>Keywords:\u00a0Photovoltaic Power; Prediction; Feature Vectors Selection; Extreme Learning Machine; Kernel Method<\/em><\/p>\n\n\n\n<div style=\"height:2rem\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div ref_ol\" data-aos=\"normal\">\n<ol>\n<li>[1] Adil Ahmed and Muhammad Khalid. A review on the selected <span class=\"citation-2244 citation-end-2244\">applications of forecasting models in renewable power systems. Renewable and Sustainable Energy Reviews, 100:9\u201321, 2019.<\/span><\/li>\n<li><span class=\"citation-2243\">[2] Sobrina Sobri, Sam Koohi-Kamali, and Nasrudin Abd <\/span><span class=\"citation-2242 citation-2243 citation-end-2243\">Rahim. Solar photovoltaic generation forecasting methods: A review. Energ<\/span><span class=\"citation-2242 citation-end-2242\">y Conversion and Management, 156:459\u2013497, 2018.<\/span><\/li>\n<li><span class=\"citation-2241\">[3] Florian Barbieri, Sumedha Rajakaruna, and Arindam Ghosh. Very short-term <\/span><span class=\"citation-2237 citation-2238 citation-2239 citation-2240 citation-2241 citation-end-2241\">photovoltaic power forecasting with clo<\/span><span class=\"citation-2237 citation-2238 citation-2239 citation-2240 citation-end-2240\">ud modeling: A review. Renewable and Sustainable Energy Reviews, 75:242\u2013263, 2017.<\/span><\/li>\n<li><span class=\"citation-2233 citation-2234 citation-2235 citation-2236 citation-end-2236\">[4] Aidan Tuohy, John Zack, Sue Ellen Haupt, Justin Sharp, Mark Ahlstrom, Skip Dise, Eric Grimit, Corinna Mohrlen, Matthias Lange, an<\/span><span class=\"citation-2233 citation-2234 citation-2235 citation-end-2235\">d Mayte Garcia Casado. Solar forecasting: methods, challenges, and performance. IEEE Power and Energy Magazi<\/span><span class=\"citation-2233 citation-2234 citation-end-2234\">ne, 13(6):50\u201359, 2015.<\/span><\/li>\n<li><span class=\"citation-2231 citation-2232 citation-end-2232\">[5] Alberto Dol<\/span><span class=\"citation-2231 citation-end-2231\">ara, Sonia Leva, and Giampaolo Manzolini. Comparison of different physical models for PV power output predicti<\/span>on. Solar energy, 119:83\u201399, 2015.<\/li>\n<li>[6] Hugo H. T. C. Pedro and Carlos F. M. Coimbra. Assessment of forecasting techniques for solar power production with no exogenous inputs. Solar Energy, 86(7):20172028, 2012.<\/li>\n<li>[7] Yanting Li, Yan Su, and Lianjie Shu. An ARMAX model <span class=\"citation-2229 citation-2230 citation-end-2230\">for forecasting the power output of a grid connected photovoltaic system. Renewable Energy, 66:78\u201389, 2014.<\/span><\/li>\n<li><span class=\"citation-2227 citation-2228 citation-end-2228\">[8] Remco A. Verzijlbergh, Petra W. Heijnen, Stephan R. de Roode, Alexander Los, and Harm J. J. Jonker. Improved model<\/span><span class=\"citation-2227 citation-end-2227\"> output statis<\/span>tics <span class=\"citation-2225 citation-2226 citation-end-2226\">of numerical weather prediction based irradiance forecasts for solar power applications. Solar Energy, 118:634\u2013645, 2015.<\/span><\/li>\n<li><span class=\"citation-2223 citation-2224\">[9] Cyril Voyant, Gilles Notton, Soteris Kalogirou, Marie-Laure Nivet, Christophe Paoli, Fabrice Motte, and <\/span><span class=\"citation-2222 citation-2223 citation-2224 citation-end-2224\">Alexis Fouil<\/span><span class=\"citation-2222 citation-2223 citation-end-2223\">loy. Machi<\/span><span class=\"citation-2222 citation-end-2222\">ne learning methods for solar radiation forecasting: A review. Renewable Energy, 105:569\u2013582, 2017.<\/span><\/li>\n<li><span class=\"citation-2221\">[10] Guido Cervone, Laura Clemente-Harding, Stefano Alessandrini, and Luca Delle Monache. Short-term photovoltaic <\/span><span class=\"citation-2218 citation-2219 citation-2220 citation-2221 citation-end-2221\">power foreca<\/span><span class=\"citation-2218 citation-2219 citation-2220 citation-end-2220\">sting using Artificial Neural Networks and an Analog Ensemble. Renewable Energy, 108:274\u2013286, 2017.<\/span><\/li>\n<li><span class=\"citation-2215 citation-2216 citation-2217 citation-end-2217\">[11] Xianshuang Yao, Zhanshan Wang, and Huaguang Zhang. A novel photovoltaic power forecasting model based on echo state network. Neurocomputing<\/span><span class=\"citation-2215 citation-2216 citation-end-2216\">, 325:182189, 2019.<\/span><\/li>\n<li><span class=\"citation-2213 citation-2214 citation-end-2214\">[12] Sonia Leva, Alberto Do<\/span><span class=\"citation-2213 citation-end-2213\">lara, Francesco Grimaccia, Marco Mussetta, and Emanuele Ogliari. Analysis and validation of 24 hours<\/span> <span class=\"citation-2211 citation-2212 citation-end-2212\">ahead neural network forecasting of photovoltaic output power. Mathematics and computers in simulation, 131:88\u2013100, 2017.<\/span><\/li>\n<li><span class=\"citation-2209 citation-2210 citation-end-2210\">[13] William VanDeventer, Elmira Jamei, Gokul Sidarth Thirunavukkarasu, Mehdi Seyedmahmoudian, T<\/span><span class=\"citation-2209 citation-end-2209\">ey Kok Soon, Ben Horan, Saad Mek<\/span>hilef, and Alex Stojcevski. Short-term PV power forecasting using hybrid GASVM technique. Renewable energy, 140:367\u2013379, 2019.<\/li>\n<li>[14] Moufida Bouzerdoum, Adel Mellit, and A. Massi Pavan. A hybrid model (SARIMA<span class=\"citation-2208 citation-end-2208\">\u2013SVM) for short-term power forecasting of a small-scale grid-connected photovoltaic plant. Solar Energy, 98:226\u2013235, 2013.<\/span><\/li>\n<li><span class=\"citation-2207\">[15] Abinet Tesfaye Eseye, Jianhua Zhang, and Dehua Zheng. Short-term photovoltaic solar power forecasting <\/span><span class=\"citation-2206 citation-2207 citation-end-2207\">using a hybrid Wav<\/span><span class=\"citation-2206 citation-end-2206\">elet-PSO-SVM model based on SCADA and Meteorological information. Renewable Energy, 118:357\u2013367, 2018.<\/span><\/li>\n<li><span class=\"citation-2205\">[16] Maria Malvoni, Maria Grazia De Giorgi, and Paolo Maria Congedo. <\/span><span class=\"citation-2204 citation-2205 citation-end-2205\">Photovoltaic forecast based on hybrid PCA\u2013LSSVM using di<\/span><span class=\"citation-2204 citation-end-2204\">mensionality reducted data. Neurocomputing, 211:72\u201383, 2016.<\/span><\/li>\n<li><span class=\"citation-2203\">[17] Guang-Bin Huang, <\/span><span class=\"citation-2202 citation-2203 citation-end-2203\">Qin-Yu Zhu, and Chee-Kheong Siew. Extreme learning machine: theory and applications. Neurocomputing, <\/span><span class=\"citation-2202 citation-end-2202\">70(1-3):489\u2013501, 2006.<\/span><\/li>\n<li><span class=\"citation-2201\">[18] Sameer Al-Dahidi, Osama Ayadi, Jehad Adeeb, Mohammad Alrbai, <\/span><span class=\"citation-2200 citation-2201 citation-end-2201\">and Bashar R. Qawasmeh. Extreme learning machines for solar ph<\/span><span class=\"citation-2200 citation-end-2200\">otovoltaic power predictions. Energies, 11(10):2725, 2018.<\/span><\/li>\n<li><span class=\"citation-2199\">[19] Shahaboddin Shamshirband, Kasra Mohammadi, Lip Yee, Dalibor Petkovi\u0107, and Ali Mostafaeipour. A comparative evaluation for identifying the suitability of extreme <\/span><span class=\"citation-2197 citation-2198 citation-2199 citation-end-2199\">learning machine to predict horizo<\/span><span class=\"citation-2197 citation-2198 citation-end-2198\">ntal global solar radiation. Renewable and sustainable energy reviews, 52:1031\u20131042, 2015.<\/span><\/li>\n<li><span class=\"citation-2195 citation-2196 citation-end-2196\">[20] Pingzhou Tang, Di Chen, and Yushuo Hou. Entropy method combined with extreme learning machine method for the s<\/span><span class=\"citation-2195 citation-end-2195\">hort-term photovoltaic power generation<\/span> forecasting. Chaos, Solitons &amp; Fractals, 89:243248, 2016.<\/li>\n<li>[21] Jun Li and Da-Chao Li. Wind power time series prediction <span class=\"citation-2193 citation-2194 citation-end-2194\">using optimized kernel extreme learning machine method. Acta Physica Sinica, 65(13):130501, 2016.<\/span><\/li>\n<li><span class=\"citation-2191 citation-2192 citation-end-2192\">[22] Federica Dav\u00f2, Stefano Alessandrini, Simone Sperati, Luca Delle Monache, Davide Airoldi, and Maria T. Vespucci<\/span><span class=\"citation-2191 citation-end-2191\">. Post-proces<\/span>sing techniques and <span class=\"citation-2189 citation-2190 citation-end-2190\">principal component analysis for regional wind power and solar irradiance forecasting. Solar Energy, 134:327\u2013338, 2016.<\/span><\/li>\n<li><span class=\"citation-2187 citation-2188\">[23] Chunxia Dou, Hang Qi, Wei Luo, and Yamin Zhang. Elman neural network based short-term <\/span><span class=\"citation-2184 citation-2185 citation-2186 citation-2187 citation-2188 citation-end-2188\">photovoltaic power forecasting using association rules and ker<\/span><span class=\"citation-2184 citation-2185 citation-2186 citation-2187 citation-end-2187\">nel prin<\/span><span class=\"citation-2184 citation-2185 citation-2186 citation-end-2186\">cipal component analysis. Journal of Renewable and Sustainable Energy, 10(4):43501, 2018.<\/span><\/li>\n<li><span class=\"citation-2181 citation-2182 citation-2183 citation-end-2183\">[24] Gaston Baudat and Fatiha Anouar. Feature vector selection and projection using kernels. Neurocomputing, 55(1-2):21\u20133<\/span><span class=\"citation-2181 citation-2182 citation-end-2182\">8, 2003.<\/span><\/li>\n<li><span class=\"citation-2179 citation-2180 citation-end-2180\">[25] Yao Zhang and Jianxue Wang. GEFCom2014 probabilistic sol<\/span><span class=\"citation-2179\">ar power forecasting <\/span><span class=\"citation-2177 citation-2178 citation-2179 citation-end-2179\">based on k-nearest neighbor and kernel density estimator. I<\/span><span class=\"citation-2177 citation-2178 citation-end-2178\">n 2015 IEEE Power &amp; Energy Society General Meeting, pages 1\u20135. IEEE, 2015.<\/span><\/li>\n<li><span class=\"citation-2175 citation-2176 citation-end-2176\">[26] Tao Hong, Pierre Pinson, Shu Fan, Hamidreza Zareipour, Alberto Troccoli, and Rob J. Hyndman. Pro<\/span><span class=\"citation-2175 citation-end-2175\">babilistic energy forec<\/span>asting: Global energy forecasting competition 2014 and beyond. International Journal of Forecasting, 32(3):896\u2013913, 2016.<\/li>\n<li>[27] Azhar Ahmed Mohammed and Zeyar Aung. Ensemble learning approach for probabilistic forecasting of solar power generation. Energies, 9(12):1017, 2016.<\/li>\n<\/ol>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"author":3,"template":"wp-custom-template-detail-4-aricles","meta":{"_uag_custom_page_level_css":""},"categories":[1200,6,1202],"tags":[1233],"acf":[],"uagb_featured_image_src":[],"uagb_author_info":{"display_name":"\u6797\u923a\u6db5","author_link":"\/jase\/?author=3"},"uagb_comment_info":0,"uagb_excerpt":"&nbsp;Copyright&nbsp;The Author(s). This is an open access article distributed under the terms of the&nbsp;Creative Commons Attribution&nbsp;License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited. Download Citation:&nbsp; BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.202006_23(2).0013&nbsp;&nbsp; Download PDF For the highly nonlinear short-term photovoltaic power problems affected by a&hellip;","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/6142"}],"collection":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"author":[{"embeddable":true,"href":"\/jase\/index.php?rest_route=\/wp\/v2\/users\/3"}],"wp:attachment":[{"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6142"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6142"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}