<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20241031//EN"
        "https://jats.nlm.nih.gov/publishing/1.4/JATS-journalpublishing1-4.dtd">
<article  article-type="research-article"        dtd-version="1.4">
            <front>

                <journal-meta>
                                                                <journal-id>int. adv. res. eng. j.</journal-id>
            <journal-title-group>
                                                                                    <journal-title>International Advanced Researches and Engineering Journal</journal-title>
            </journal-title-group>
                                        <issn pub-type="epub">2618-575X</issn>
                                                                                            <publisher>
                    <publisher-name>Ceyhun YILMAZ</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.35860/iarej.1794285</article-id>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Electrical Energy Generation (Incl. Renewables, Excl. Photovoltaics)</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>Elektrik Enerjisi Üretimi (Yenilenebilir Kaynaklar Dahil, Fotovoltaikler Hariç)</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                        <article-title>Comparative analysis of optimized LSTM architectures for long-term solar power forecasting</article-title>
                                                                                                    </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0009-0008-0865-0784</contrib-id>
                                                                <name>
                                    <surname>Türker</surname>
                                    <given-names>Melisa</given-names>
                                </name>
                                                                    <aff>RECEP TAYYIP ERDOGAN UNIVERSITY</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0003-4164-477X</contrib-id>
                                                                <name>
                                    <surname>Yelgel</surname>
                                    <given-names>Celal</given-names>
                                </name>
                                                                    <aff>RECEP TAYYIP ERDOGAN UNIVERSITY</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0001-5888-5743</contrib-id>
                                                                <name>
                                    <surname>Yelgel</surname>
                                    <given-names>Övgü Ceyda</given-names>
                                </name>
                                                                    <aff>RECEP TAYYIP ERDOGAN UNIVERSITY</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20260420">
                    <day>04</day>
                    <month>20</month>
                    <year>2026</year>
                </pub-date>
                                        <volume>10</volume>
                                        <issue>1</issue>
                                        <fpage>28</fpage>
                                        <lpage>43</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20250930">
                        <day>09</day>
                        <month>30</month>
                        <year>2025</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20260223">
                        <day>02</day>
                        <month>23</month>
                        <year>2026</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2017, International Advanced Researches and Engineering Journal</copyright-statement>
                    <copyright-year>2017</copyright-year>
                    <copyright-holder>International Advanced Researches and Engineering Journal</copyright-holder>
                </permissions>
            
                                                                                                <abstract><p>Accurate long-term forecasting of photovoltaic (PV) power output is vital for ensuring the reliability and efficiency of renewable energy systems integrated into smart grids. This study proposes a systematic deep learning framework using Long Short-Term Memory (LSTM) networks, exploring the combined effects of network depth, activation functions (ReLU vs. Leaky ReLU), and optimization algorithms (Adam, Nadam, RMSprop, SGD) on predictive accuracy. A real-world dataset, recorded over one year in Van, Turkey, was used to evaluate the performance of 24 distinct model configurations. The results reveal that deeper LSTM architectures significantly improve generalization, particularly when paired with Leaky ReLU activation. Among all configurations, the four-layer LSTM model optimized with Nadam and activated with Leaky ReLU achieved the best forecasting performance, reaching a minimum SMAPE of 15.4%. This result represents a substantial improvement over conventional setups and demonstrates the effectiveness of adaptive optimization and nonlinear activation in capturing complex temporal patterns. The findings offer practical implications for enhancing grid stability, optimizing solar energy dispatch, and informing energy policy planning. The proposed model serves as a robust and scalable tool for energy stakeholders aiming to improve long-term solar forecasting in dynamically changing environments.</p></abstract>
                                                            
            
                                                            <kwd-group>
                                                    <kwd>Long-Term Solar PV Power Forecasting</kwd>
                                                    <kwd>  Deep Learning (LSTM) Model</kwd>
                                                    <kwd>  Sustainable Energy Systems</kwd>
                                            </kwd-group>
                            
                                                                                                                        </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">1.	Foster, R., Ghassemi, M., and Cota, A., Solar energy: Renewable energy and the environment. 2009.</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">2.	Diagne, M., David, M., Lauret, P., Boland, J., and Schmutz, N., Review of solar irradiance forecasting methods and a proposition for small-scale insular grids. 2013. 27: p. 65-76.</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">3.	Calvet, W., et al., Locally resolved investigation of wedged Cu(In,Ga)Se2 films prepared by physical vapor deposition using hard X-ray photoelectron and X-ray fluorescence spectroscopy. Thin Solid Films, 2015. 582: p. 361–365.</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">4.	Cheng, J., Zhang, M., Wu, G., Wang, X., Zhou, J., and Cen, K., Optimizing CO₂ reduction conditions to increase carbon atom conversion using a Pt-RGO||Pt-TNT photoelectrochemical cell. Solar Energy Materials and Solar Cells, 2015. 132: p. 606–614.</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">5.	Lorenz, E., Hurka, J., Heinemann, D., and Beyer, H.G., Irradiance Forecasting for the Power Prediction of Grid-Connected Photovoltaic Systems. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2009. 2(1): p. 2–10.</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">6.	Khaligh, A., and Onar, O.C., Energy harvesting: Solar, wind, and ocean energy conversion systems. 2017.</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">7.	Jebli, I., Belouadha, F.Z., Kabbaj, M.I., and Tilioua, A., Prediction of solar energy guided by Pearson correlation using machine learning. Energy, 2021. 224: p. 120109.</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">8.	Al Badwawi, R., Abusara, M., and Mallick, T., A Review of Hybrid Solar PV and Wind Energy System. Smart Science, 2015. 3(3): p. 127–138.</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">9.	Mirzapour, F., Lakzaei, M., Varamini, G., Teimourian, M., and Ghadimi, N., A new prediction model of battery and wind-solar output in hybrid power system. Journal of Ambient Intelligence and Humanized Computing, 2019. 10(1): p. 77–87.</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">10.	Kumar, K.P., and Saravanan, B., Recent techniques to model uncertainties in power generation from renewable energy sources and loads in microgrids – A review. Renewable and Sustainable Energy Reviews, 2017. 71: p. 348–358.</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">11.	Abdel-Nasser, M., and Mahmoud, K., Accurate photovoltaic power forecasting models using deep LSTM-RNN. Neural Computing and Applications, 2019. 31(7): p. 2727–2740.</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">12.	Mellit, A., Massi Pavan, A., and Lughi, V., Short-term forecasting of power production in a large-scale photovoltaic plant. Solar Energy, 2014. 105: p. 401–413.</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">13.	Livera, A., Theristis, M., Makrides, G., and Georghiou, G.E., Advanced diagnostic approach of failures for grid-connected photovoltaic (PV) systems. In Proceedings of the 35th European Photovoltaic Solar Energy Conference, 2018.</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">14.	Das, U.K., Tey, K.S., Seyedmahmoudian, M., Mekhilef, S., Idris, M.Y.I., Van Deventer, W., and Horan, B., Forecasting of photovoltaic power generation and model optimization: A review. Renewable and Sustainable Energy Reviews, 2018. 81: p. 912–928.</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">15.	Gensler, A., Henze, J., Sick, B., and Raabe, N., Deep Learning for solar power forecasting – An approach using AutoEncoder and LSTM Neural Networks. In: IEEE International Conference on Systems, Man, and Cybernetics, 2016. p. 2858–2865.</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">16.	Perera, M., De Hoog, J., Bandara, K., and Halgamuge, S., Multi-resolution, multi-horizon distributed solar PV power forecasting with forecast combinations. Expert Systems with Applications, 2022. 205: p. 117690.</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">17.	Zhu, J., Li, M., Luo, L., Zhang, B., Cui, M., and Yu, L., Short-term PV power forecast methodology based on multi-scale fluctuation characteristics extraction. Renewable Energy, 2023. 208: p. 141–151.</mixed-citation>
                    </ref>
                                    <ref id="ref18">
                        <label>18</label>
                        <mixed-citation publication-type="journal">18.	Khan, Z.A., Hussain, T., and Baik, S.W., Dual stream network with attention mechanism for photovoltaic power forecasting. Applied Energy, 2023. 338: p. 120916.</mixed-citation>
                    </ref>
                                    <ref id="ref19">
                        <label>19</label>
                        <mixed-citation publication-type="journal">19.	Li, Y., Huang, W., Lou, K., Zhang, X., and Wan, Q., Short-term PV power prediction based on meteorological similarity days and SSA-BiLSTM. Systems and Soft Computing, 2024. 6: p. 200084.</mixed-citation>
                    </ref>
                                    <ref id="ref20">
                        <label>20</label>
                        <mixed-citation publication-type="journal">20.	Luo, X., Zhang, D., and Zhu, X., Deep learning based forecasting of photovoltaic power generation by incorporating domain knowledge. Energy, 2021. 225: p. 120240.</mixed-citation>
                    </ref>
                                    <ref id="ref21">
                        <label>21</label>
                        <mixed-citation publication-type="journal">21.	Gensler, A., Henze, J., Sick, B., and Raabe, N., Deep Learning for solar power forecasting - An approach using AutoEncoder and LSTM Neural Networks. IEEE International Conference on Systems, Man, and Cybernetics, 2016: p. 2858–2865.</mixed-citation>
                    </ref>
                                    <ref id="ref22">
                        <label>22</label>
                        <mixed-citation publication-type="journal">22.	Elsaraiti, M., and Merabet, A., Solar power forecasting using deep learning techniques. IEEE Access, 2022. 10: p. 31692–31698.</mixed-citation>
                    </ref>
                                    <ref id="ref23">
                        <label>23</label>
                        <mixed-citation publication-type="journal">23.	Qing, X., and Niu, Y., Hourly day-ahead solar irradiance prediction using weather forecasts by LSTM. Energy, 2018. 148: p. 461-468.</mixed-citation>
                    </ref>
                                    <ref id="ref24">
                        <label>24</label>
                        <mixed-citation publication-type="journal">24.	Gao, M., Li, J., Hong, F., and Long, D., Day-ahead power forecasting in a large-scale photovoltaic plant based on weather classification using LSTM. Energy, 2019. 187: p. 115838.</mixed-citation>
                    </ref>
                                    <ref id="ref25">
                        <label>25</label>
                        <mixed-citation publication-type="journal">25.	Han, S., Qiao, Y., Yan, J., Liu, Y., Li, L., and Wang, Z., Mid-to-long term wind and photovoltaic power generation prediction based on copula function and long short term memory network. Applied Energy, 2019. 239: p. 181-191.</mixed-citation>
                    </ref>
                                    <ref id="ref26">
                        <label>26</label>
                        <mixed-citation publication-type="journal">26.	Wang, K., Qi, X., and Liu, H., A comparison of day-ahead photovoltaic power forecasting models based on deep learning neural network. Applied Energy, 2019. 251: p. 113315.</mixed-citation>
                    </ref>
                                    <ref id="ref27">
                        <label>27</label>
                        <mixed-citation publication-type="journal">27.	Gao, M., Li, J., Hong, F., and Long, D., Day-ahead power forecasting in a large-scale photovoltaic plant based on weather classification using LSTM. Energy, 2019. 187: p. 115838.</mixed-citation>
                    </ref>
                                    <ref id="ref28">
                        <label>28</label>
                        <mixed-citation publication-type="journal">28.	Srivastava, S., and Lessmann, S., A comparative study of LSTM neural networks in forecasting day-ahead global horizontal irradiance with satellite data. Solar Energy, 2018. 162: p. 232–247.</mixed-citation>
                    </ref>
                                    <ref id="ref29">
                        <label>29</label>
                        <mixed-citation publication-type="journal">29.	Zhou, H., Zhang, Y., Yang, L., Liu, Q., Yan, K., and Du, Y., Short-Term photovoltaic power forecasting based on long short term memory neural network and attention mechanism. IEEE Access, 2019. 7: p. 78063–78074.</mixed-citation>
                    </ref>
                                    <ref id="ref30">
                        <label>30</label>
                        <mixed-citation publication-type="journal">30.	Yu, Y., Cao, J., and Zhu, J., An LSTM Short-Term Solar Irradiance Forecasting under Complicated Weather Conditions. IEEE Access, 2019. 7: p. 145651–145666.</mixed-citation>
                    </ref>
                                    <ref id="ref31">
                        <label>31</label>
                        <mixed-citation publication-type="journal">31.	Ghimire, S., Deo, R.C., Raj, N., and Mi, J., Deep solar radiation forecasting with convolutional neural network and long short-term memory network algorithms. Applied Energy, 2019. 253: p. 113541.</mixed-citation>
                    </ref>
                                    <ref id="ref32">
                        <label>32</label>
                        <mixed-citation publication-type="journal">32.	Wang, K., Qi, X., and Liu, H., Photovoltaic power forecasting based on LSTM-Convolutional Network. Energy, 2019. 189: p. 116225.</mixed-citation>
                    </ref>
                                    <ref id="ref33">
                        <label>33</label>
                        <mixed-citation publication-type="journal">33.	Qing, X., and Niu, Y., Hourly day-ahead solar irradiance prediction using weather forecasts by LSTM. Energy, 2018. 148: p. 461–468.</mixed-citation>
                    </ref>
                                    <ref id="ref34">
                        <label>34</label>
                        <mixed-citation publication-type="journal">34.	Shin, D., and Kim, C.B., Short term forecast model for solar power generation using RNN-LSTM. Journal of Advanced Navigation Technology, 2018. 22: p. 233-239.</mixed-citation>
                    </ref>
                                    <ref id="ref35">
                        <label>35</label>
                        <mixed-citation publication-type="journal">35.	Correa-Jullian, C., Cardemil, J.M., López Droguett, E., and Behzad, M., Assessment of Deep Learning techniques for Prognosis of solar thermal systems. Renewable Energy, 2020. 145: p. 2178–2191.</mixed-citation>
                    </ref>
                                    <ref id="ref36">
                        <label>36</label>
                        <mixed-citation publication-type="journal">36.	Wen, L., Zhou, K., Yang, S., and Lu, X., Optimal load dispatch of community microgrid with deep learning based solar power and load forecasting. Energy, 2019. 171: p. 1053–1065.</mixed-citation>
                    </ref>
                                    <ref id="ref37">
                        <label>37</label>
                        <mixed-citation publication-type="journal">37.	Hochreiter, S., and Schmidhuber, J., Long short-term memory. Neural Computation, 1997. 9(8): p. 1735–1780.</mixed-citation>
                    </ref>
                                    <ref id="ref38">
                        <label>38</label>
                        <mixed-citation publication-type="journal">38.	Rao, G., Huang, W., Feng, Z., and Cong, Q., LSTM with sentence representations for document-level sentiment classification. Neurocomputing, 2018. 308: p. 49–57.</mixed-citation>
                    </ref>
                                    <ref id="ref39">
                        <label>39</label>
                        <mixed-citation publication-type="journal">39.	Chai, T., and Draxler, R.R., Root mean square error (RMSE) or mean absolute error (MAE)? Arguments against avoiding RMSE in the literature. Geoscientific Model Development, 2014. 7(3): p. 1247–1250.</mixed-citation>
                    </ref>
                                    <ref id="ref40">
                        <label>40</label>
                        <mixed-citation publication-type="journal">40.	Ayyed, N.A., and Al-Sinjary, A.M., Comparison of Some Optimizers in Long Short-Term Memory Networks with an Application to Tigris River Water Imports. Asian Journal of Probability and Statistics, 2025. 27(1): p. 56–68.</mixed-citation>
                    </ref>
                                    <ref id="ref41">
                        <label>41</label>
                        <mixed-citation publication-type="journal">41.	Yelgel Ö.C., Yelgel, C. The Role of Machine Learning Methods fro Renewable Energy Technologies in Advances in Energy Recovery and Efficiency Technologies, 2024.</mixed-citation>
                    </ref>
                                    <ref id="ref42">
                        <label>42</label>
                        <mixed-citation publication-type="journal">42.	Lewinson, E. Choosing the correct error metric: MAPE vs. sMAPE. Towards Data Science. [Online] Available: https://towardsdatascience.com/choosing-the-correct-error-metric-mape-vs-smape-5328dec53fac</mixed-citation>
                    </ref>
                                    <ref id="ref43">
                        <label>43</label>
                        <mixed-citation publication-type="journal">43.	Konečný, J., and Richtárik, P., Semi-Stochastic Gradient Descent Methods. Frontiers in Applied Mathematics and Statistics, 2017. 3(9): p. 238564.</mixed-citation>
                    </ref>
                                    <ref id="ref44">
                        <label>44</label>
                        <mixed-citation publication-type="journal">44.	Türker, M., Yelgel, C., and Yelgel, Ö.C., Long-Term Prediction of Solar Panel Power Output with Artificial Intelligence Techniques. Ejons International Journal on Mathematic, Engineering and Natural Sciences, 2025. 9: p. 130.</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
