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  <front>
    <journal-meta>
      <journal-title-group><journal-title>Artificial Intelligence for Sustainable Cities</journal-title></journal-title-group>
      <issn pub-type="epub">2979-1464</issn>
      <publisher><publisher-name>Caravel Press</publisher-name></publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.65582/aifsc.2026.014</article-id>
      <article-id pub-id-type="publisher-id">2026.014</article-id>
      <title-group><article-title>Machine Learning for Solar Radiation and Photovoltaic Systems: Evidence, Validation, and Operational Applications</article-title></title-group>
    <contrib-group>
      <contrib contrib-type="author">
        <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0801-0348</contrib-id>
        <name><surname>Danjuma Maiwada</surname><given-names>Abubakar</given-names></name>
        <xref ref-type="aff" rid="aff1"/>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Conceptualization</role>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Writing (original draft)</role>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Investigation</role>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Visualization</role>
        <email>abubakar.danjuma@student.usm.my</email>
      </contrib>
      <contrib contrib-type="author" corresp="yes">
        <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1412-3119</contrib-id>
        <name><surname>Ahmad</surname><given-names>Mardiana Idayu</given-names></name>
        <xref ref-type="aff" rid="aff1"/>
        <xref ref-type="aff" rid="aff2"/>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Methodology</role>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Writing (review and editing)</role>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Supervision</role>
        <email>mardianaidayu@usm.my</email>
      </contrib>
      <contrib contrib-type="author">
        <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9356-2798</contrib-id>
        <name><surname>Abba</surname><given-names>Sani</given-names></name>
        <xref ref-type="aff" rid="aff3"/>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Visualization</role>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Supervision</role>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Writing (review and editing)</role>
        <email>sabba@pmu.edu.sa</email>
      </contrib>
      <contrib contrib-type="author">
        <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3137-4446</contrib-id>
        <name><surname>Shakir</surname><given-names>Mohammad Aliff</given-names></name>
        <xref ref-type="aff" rid="aff1"/>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Writing (review and editing)</role>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Visualization</role>
        <role vocab="credit" vocab-identifier="https://credit.niso.org/">Supervision</role>
        <email>maliffshakir@usm.my</email>
      </contrib>
      <aff id="aff1"><institution-wrap><institution>Environmental Technology Division, School of Industrial Technology, Universiti Sains Malaysia, 11800, Penang, Malaysia</institution><institution-id institution-id-type="ror">https://ror.org/02rgb2k63</institution-id></institution-wrap></aff>
      <aff id="aff2">Renewable Biomass Transformation Cluster, School of Industrial Technology, Universiti Sains Malaysia, Penang 11800, Malaysia</aff>
      <aff id="aff3"><institution-wrap><institution>Department of Civil Engineering, Prince Mohammad Bin Fahd University, Al Khobar, 31952, Saudi Arabia</institution><institution-id institution-id-type="ror">https://ror.org/03d64na34</institution-id></institution-wrap></aff>
    </contrib-group>
      <pub-date publication-format="electronic" date-type="pub"><day>19</day><month>10</month><year>2026</year></pub-date>
      <volume>1</volume>
      <fpage>253</fpage>
      <lpage>282</lpage>
      <self-uri xlink:href="https://caravelpress.com/journals/aifsc/articles/2026.014"/>
      <history>
        <date date-type="received"><string-date>21 July 2026</string-date></date>
        <date date-type="rev-recd"><string-date>16 October 2026</string-date></date>
        <date date-type="accepted"><string-date>16 October 2026</string-date></date>
      </history>
      <permissions>
        <copyright-statement>© 2026 The Author(s). Published by Caravel Press.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
          <license-p>This is an open access article under the CC BY 4.0 licence.</license-p>
        </license>
      </permissions>
      <abstract><p>Machine learning is used in solar-energy forecasting and management, but reported gains depend on the task, data and evaluation design. This review combines descriptive Scopus bibliometric mapping with a critical narrative synthesis of applications in irradiance estimation, photovoltaic power prediction, fault diagnosis, energy management and grid integration. The photovoltaic search yielded 1,954 unique records published between 2010 and 2026; a separate solar-energy search returned 6,767 results. Their VOSviewer maps are interpreted independently. We examine technical studies by prediction target, forecast horizon, input data, climate, validation method, benchmark and operational purpose. Results from different sites, targets and test designs cannot establish a universal ranking of model families. Classical, ensemble and deep-learning methods each have useful applications, but their reported accuracy should be interpreted against appropriate baselines and leakage-free temporal tests. External-site evaluation and calibrated uncertainty are essential when forecasts inform operational decisions. Physics-guided approaches may improve consistency, whereas digital twins, graph learning, federated learning and autonomous control require more task-specific validation. The review identifies transparent search reporting, reproducible data processing and cross-climate testing as priorities. Because the complete search history and technical screening records are unavailable, the synthesis is descriptive rather than systematic, and bibliometric counts do not measure model quality.</p></abstract>
      <kwd-group kwd-group-type="author">
        <kwd>Machine learning</kwd>
        <kwd>Solar radiation Prediction</kwd>
        <kwd>Deep learning</kwd>
        <kwd>Smart grid integration</kwd>
        <kwd>Digital twin</kwd>
      </kwd-group>
      <funding-group>
        <funding-statement>No Funding</funding-statement>
      </funding-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>Introduction</title>
      <p>Solar energy (SE) is central to decarbonisation, but its operational value depends on accurate characterisation and prediction of the solar resource. Global horizontal irradiance (GHI), direct normal irradiance (DNI), and diffuse horizontal irradiance (DHI) determine the energy available to PV, concentrating solar power (CSP), concentrating PV, and building-integrated systems. Clouds, aerosols, atmospheric composition, and local meteorology make these quantities strongly variable in space and time, creating uncertainty for energy-yield assessment and system operation (<xref ref-type="bibr" rid="ref-29796d22-4349-4e8e-8947-9273ce5ab5ec">Firoozi <italic>et al.</italic> 2025</xref>; <xref ref-type="bibr" rid="ref-ddf10c53-932e-462d-b750-2f8012721e35">Jia <italic>et al.</italic> 2021</xref>). As PV penetration expands across utility, distributed, and urban energy systems, resource forecasting must increasingly support storage scheduling, market participation, demand response, and grid-support functions (<xref ref-type="bibr" rid="ref-a0d503e4-0223-4f64-8e05-f3acace082b6">Morey <italic>et al.</italic> 2023</xref>). The problem extends beyond weather variability. Sensor noise, calibration errors, missing data, geographical differences, partial shading, soiling, temperature effects, ageing, and inverter behaviour introduce uncertainty from measurement to final AC power. Purely empirical models often lack transferability, whereas physics-only models may be computationally demanding or unable to capture site-specific nonlinearities. ML and deep learning (DL) can fuse ground measurements, satellite observations, numerical weather prediction (NWP), imagery, and operational data, but reported performance remains sensitive to data quality, validation design, and deployment context (<xref ref-type="bibr" rid="ref-09d07a61-6d20-4b91-85b9-8b6fe4bd4d98">Guo <italic>et al.</italic> 2025</xref>; <xref ref-type="bibr" rid="ref-7df651b4-d85e-488a-800a-97146ef66ceb">Paletta <italic>et al.</italic> 2023</xref>). Research has consequently progressed from support vector machines (SVM), random forests (RF), and artificial neural networks (ANN) to ensembles, convolutional and recurrent networks, transformers, metaheuristic hybrids, and physics-informed learning. Recent reviews already address computer-vision solar forecasting (<xref ref-type="bibr" rid="ref-7df651b4-d85e-488a-800a-97146ef66ceb">Paletta <italic>et al.</italic> 2023</xref>) and physics–ML hybrid PV prediction (<xref ref-type="bibr" rid="ref-6ecfa337-c5b9-446b-a8a7-244ce38a568e">Santos <italic>et al.</italic> 2024</xref>). The present synthesis connects those strands to prediction targets, forecast horizons, validation and operational decisions. This fragmentation obscures how model choice, radiation component, data source, forecast horizon, and operational objective interact across the solar-energy value chain (<xref ref-type="bibr" rid="ref-59d24611-b37c-48a5-a6dc-045ff9f0eaf4">Hamza and Modu 2025</xref>). As illustrated in Figure 1, advanced ML connects solar-radiation data with forecasting, optimisation, and intelligent energy management. This review combines descriptive Scopus bibliometric maps with a selective critical technical synthesis of ML for solar-resource and solar-energy management. It: (a) maps publication growth, collaboration, and thematic evolution; (b) compares classical, ensemble, deep, hybrid, and emerging learning paradigms; (c) links GHI, DNI, and DHI modelling to PV forecasting, MPPT, fault diagnosis, farm optimisation, load management, and grid integration; and (d) identifies research priorities in physical consistency, transfer learning, uncertainty quantification, interpretability, and operational deployment. The aim is not to identify a universally superior algorithm, but to clarify which modelling strategies are most defensible under different data, climate, and decision contexts. Table 1 compares the scope of this review with two relevant reviews.</p>
      <fig id="fig1">
        <label>Figure 1</label>
        <caption><p>Graphical overview of advanced machine learning in solar energy</p></caption>
        <graphic xlink:href="obj/86/83/86838adfe68d8d0f5b77fb307fc387aa5e839550d0a61d2e56f4fdbc17266695"/>
      </fig>
      <table-wrap id="tbl1">
        <label>Table 1</label>
        <caption><p>Scope of this review relative to two relevant recent reviews.</p></caption>
        <table>
          <thead>
            <tr>
              <th><bold>Review</bold></th>
              <th><bold>Emphasis</bold></th>
              <th><bold>Distinction in this article</bold></th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td>Paletta et al. (<xref ref-type="bibr" rid="ref-7df651b4-d85e-488a-800a-97146ef66ceb">2023</xref>)</td>
              <td>Computer vision for solar forecasting</td>
              <td>Connects forecast evidence to PV and downstream decisions.</td>
            </tr>
            <tr>
              <td>Santos et al. (<xref ref-type="bibr" rid="ref-6ecfa337-c5b9-446b-a8a7-244ce38a568e">2024</xref>)</td>
              <td>Hybrid physics–ML PV prediction</td>
              <td>Appraises target, horizon and validation across model families.</td>
            </tr>
            <tr>
              <td>Present review</td>
              <td>Bibliometric maps and selective technical synthesis</td>
              <td>Uses a common data–target–horizon–validation–purpose framework.</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
    </sec>
    <sec id="sec2">
      <title>Review Approach and Bibliographic Scope</title>
      <p>The scope and organisation of the review are presented in Figure 2. The evidence base was organised around three linked questions: how ML methods for solar modelling have evolved, which model families are most appropriate for different solar-energy tasks, and which limitations still prevent robust operational deployment. Early studies established the value of nonlinear data-driven models for radiation estimation. SVM and ANN improved estimation where direct measurements were unavailable or meteorological inputs were incomplete (<xref ref-type="bibr" rid="ref-a9e4039a-8da6-4b77-85cb-bf59930d5ccb">Assi <italic>et al.</italic> 2010</xref>; <xref ref-type="bibr" rid="ref-fd3f68cf-f2c8-4cfe-a730-8eaba7860c09">Chen <italic>et al.</italic> 2011</xref>; <xref ref-type="bibr" rid="ref-e08912e3-44cb-4abb-8fe6-0c6cd310a81d">Gastón <italic>et al.</italic> 2013</xref>). Subsequent work expanded the problem from static estimation to short-term forecasting by combining weather classes, fuzzy logic, time-delay networks, and SVM-based predictors (<xref ref-type="bibr" rid="ref-7c968bbd-eba1-406e-97e7-332e604a809e">Chen <italic>et al.</italic> 2013</xref>; <xref ref-type="bibr" rid="ref-3a73c65d-45d1-43e8-bf08-b94dd72bd13f">Detyniecki <italic>et al.</italic> 2012</xref>; <xref ref-type="bibr" rid="ref-62d663fa-b860-4d93-87f9-bfa6b365e63a">Wu and Chan 2012</xref>). The literature then shifted toward multi-source forecasting and comparative benchmarking. NWP post-processing, transmissivity-based features, sky cameras, ensemble trees, and hybrid optimisation improved prediction across different horizons, while comparative studies repeatedly showed that performance depends on climate, data resolution, and forecast lead time rather than on a single universally dominant model (<xref ref-type="bibr" rid="ref-f9028373-e030-47c0-8fff-5b2ce77bc549">Diagne <italic>et al.</italic> 2013</xref>; <xref ref-type="bibr" rid="ref-4ba2e4ea-15a1-49ea-994f-6abbab468bd6">Perez <italic>et al.</italic> 2013</xref>; <xref ref-type="bibr" rid="ref-0a95af0a-1b34-4808-8f3c-4e3fc4e43d1b">Prakash and Singh 2014</xref>; <xref ref-type="bibr" rid="ref-5823c6f2-b221-46c6-aa5d-c186c3e325ad">West <italic>et al.</italic> 2014</xref>; <xref ref-type="bibr" rid="ref-649aed8f-e61c-41a3-8208-ffa1f31f2107">Zeng and Qiao 2013</xref>). Table 2 summarises selected 2015–2025 studies as examples; it is not the complete bibliometric corpus. The synthesis compares studies within their own target, data, horizon and validation settings rather than pooling noncomparable errors.</p>
      <fig id="fig2">
        <label>Figure 2</label>
        <caption><p>Analytical framework used to distinguish data sources, prediction targets, model families, validation evidence and operational decisions.</p></caption>
        <graphic xlink:href="obj/c0/69/c06984f57071b17d311d7624e1b5ebb8c909b1f67719b78c030b73df6202ec0b"/>
      </fig>
      <table-wrap id="tbl2">
        <label>Table 2</label>
        <caption><p>Selected machine-learning studies for solar-energy applications (2015–2025); examples, not a systematically screened corpus</p></caption>
        <table>
          <thead>
            <tr>
              <th>Authors</th>
              <th>Country</th>
              <th>Models Used / Methods</th>
              <th>Performance Criteria / Indicators</th>
              <th>Results / Remarks</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td>Piri et al. (<xref ref-type="bibr" rid="ref-fdc1777f-f064-44e4-8af9-cc6a6a7c7ffc">2015</xref>)</td>
              <td>Iran</td>
              <td>SVR models with Polynomial and RBF kernels for daily SR estimation at two Iranian stations.</td>
              <td>Comparison of modeled vs measured daily radiation.</td>
              <td>Polynomial SVR performed best for Bojnurd, while RBF SVR was best for Zahedan; SVR successfully captured nonlinear climate-dependent radiation patterns.</td>
            </tr>
            <tr>
              <td>Ramli et al. (<xref ref-type="bibr" rid="ref-401a8d66-b0cd-46e3-aab4-19f06a0e7eda">2015</xref>)</td>
              <td>Saudi Arabia</td>
              <td>SVM vs ANN models to predict SR on tilted PV surfaces in Jeddah and Qassim.</td>
              <td>RMSE, Correlation Coefficient (CC), Magnitude of Relative Error (MRE), and computation time.</td>
              <td>SVM outperformed ANN with higher CC (0.918-0.976), lower MRE, and shorter training/testing time, showing better robustness for tilted-surface radiation prediction.</td>
            </tr>
            <tr>
              <td>Prema and Rao (<xref ref-type="bibr" rid="ref-dc798f5e-2e5e-403c-838d-e0ce0d9dab35">2015</xref>)</td>
              <td>India</td>
              <td>Time-series models: Moving Average (MA), Simple Exponential Smoothing (SES), Double Exponential Smoothing (DES), and Decomposition for 1-day-ahead SI</td>
              <td>Forecast error (%), similar to MAPE.</td>
              <td>Decomposition model using 2 months of data achieved the lowest error (9.28%), outperforming MA, SES, and DES for short-term irradiance forecasting.</td>
            </tr>
            <tr>
              <td>Almeida et al. (<xref ref-type="bibr" rid="ref-d79e0e1d-ecb0-40e6-a9bb-3cf33fc6511b">2015</xref>)</td>
              <td>Spain</td>
              <td>Nonparametric Quantile Regression Forests (QRF) for day-ahead PV power forecasting using WRF-NWP predictors.</td>
              <td>Cv MBE, prediction (quantile) intervals, validation on multiple PV plants.</td>
              <td>QRF achieved cv MBE &lt; 1.3% and provided accurate point forecasts plus well-calibrated uncertainty bands, making it suitable for operational PV forecasting.</td>
            </tr>
            <tr>
              <td>Wu and Wang (<xref ref-type="bibr" rid="ref-2d41c3a3-6ab4-46c9-be2b-e0ff16632e57">2016</xref>)</td>
              <td>China</td>
              <td>Hybrid SOM-OPELM neural model with multi-step strategies (Recursive, Dir Rec, MISMO) for SR prediction; compared to BP and ARIMA at three sites.</td>
              <td>RMSE, MAE, MAPE, MBE for multiple horizons and locations.</td>
              <td>SOM-OPELM with Dir Rec or MISMO strategies consistently produced lower errors than BP, Recursive SOM-OPELM, and ARIMA, particularly for multi-step forecasts, demonstrating strong accuracy and stability.</td>
            </tr>
            <tr>
              <td>Belaid and Mellit (<xref ref-type="bibr" rid="ref-652828db-d3eb-4a74-bb46-a73fe0c14278">2016</xref>)</td>
              <td>Algeria</td>
              <td>SVM regression with RBF kernel for daily and monthly GSR in an arid climate using simple inputs (Tmax, Tmin, Tmean, Tdiff, S0, H0).</td>
              <td>NRMSE, RMSE, MAPE, MBE, correlation coefficient (R); comparison with ANN and empirical models.</td>
              <td>Best SVM configurations achieved NRMSE = 13%, MAPE = 10-11%, R = 0.89-0.90 and outperformed ANN and several empirical models, confirming SVM’s effectiveness in arid-region solar estimation.</td>
            </tr>
            <tr>
              <td>Alzahrani et al. (<xref ref-type="bibr" rid="ref-30f27301-b727-44ee-a111-94059253b7a7">2017</xref>)</td>
              <td>USA</td>
              <td>Deep Recurrent Neural Network (DRNN-LSTM) for short-term SI forecasting; compared with Feedforward NN (FNN) and SVR.</td>
              <td>RMSE, MBE for training and testing.</td>
              <td>DRNN-LSTM achieved the lowest testing RMSE (0.086 vs SVR 0.11 and FNN 0.16), showing superior ability to capture temporal dependencies and outperform shallow NN and SVM models.</td>
            </tr>
            <tr>
              <td>Sivaneasan et al. (<xref ref-type="bibr" rid="ref-3573711a-691e-4626-a71d-b06122927e99">2017</xref>)</td>
              <td>Singapore</td>
              <td>ANN with fuzzy-logic pre-processing and adaptive error-correction for 5-minute-ahead solar forecasting.</td>
              <td>MAPE for pure ANN, ANN+fuzzy, and ANN+fuzzy+error-correction.</td>
              <td>ANN with fuzzy logic and error-correction reduced MAPE to 29.6%, improving accuracy by 16.7% over pure ANN and 13.5% over ANN+fuzzy, and giving more consistent performance under rapidly changing weather.</td>
            </tr>
            <tr>
              <td>Moosa et al. (<xref ref-type="bibr" rid="ref-8f13d0be-6a71-47d8-a9d1-2448fd8de3f3">2018</xref>)</td>
              <td>India</td>
              <td>ANN, RF, and GB models for hourly, +24 h, and +48 h GHI forecasting using atmospheric, NWP, and astronomical features.</td>
              <td>Comparative error plots / rankings for GHI prediction.</td>
              <td>RF and GB provided the most accurate and stable GHI forecasts; ANN showed higher variability and dependence on initialization.</td>
            </tr>
            <tr>
              <td>Yang et al. (<xref ref-type="bibr" rid="ref-ac928a0c-6202-4c77-9658-0901c72010f7">2018</xref>)</td>
              <td>USA</td>
              <td>Benchmark of 68 ML/statistical models (RF, GB, SVR variants, MLP, GP, LASSO, kNN, etc.) for 1-hour-ahead GHI forecasting across 7 locations and 5 climate zones.</td>
              <td>nRMSE, nMBE; daily and two-year overall accuracy; climate-specific performance; training time.</td>
              <td>Tree-based ensemble models (RF, GB, XGB) consistently achieved strong long-term performance; no single universal best model was found, with preferred models depending on climate and site; trade-offs between accuracy and training cost were highlighted.</td>
            </tr>
            <tr>
              <td>Yousif et al. (<xref ref-type="bibr" rid="ref-87b69335-eeb9-4f2f-b070-a7723a8a7550">2019</xref>)</td>
              <td>Oman</td>
              <td>MLR forecasting models using multi-boundary scoring (2-4 boundaries) for long-term air temperature prediction (1991-2015).</td>
              <td>R², Prob &gt; F, significance tests, model diagnostics.</td>
              <td>Models attained high R² (0.9335-0.9977); forecasts closely matched observed temperature trends, suggesting the approach is reliable for temperature-based renewable-energy and planning studies.</td>
            </tr>
            <tr>
              <td>Kisi et al. (<xref ref-type="bibr" rid="ref-e3ea4fd6-2248-424b-9c20-8cee9aab7d7c">2020</xref>)</td>
              <td>Turkey</td>
              <td>Bayesian Model Averaging (BMA) vs ANN, ELM, RBF, WANN, WELM, WRBF for SR estimation in a Mediterranean climate.</td>
              <td>RMSE, NSE, R² across models.</td>
              <td>BMA achieved the highest accuracy, reducing RMSE by 16-57% relative to other models; wavelet-hybrid ANN/ELM/RBF variants improved performance compared to their standalone counterparts.</td>
            </tr>
            <tr>
              <td>Tharani et al. (<xref ref-type="bibr" rid="ref-8eaa52b4-d041-4b14-b8f4-be1f7db6b0be">2020</xref>)</td>
              <td>India</td>
              <td>Linear Regression, Neural Network Regression, RF, Extra Trees for renewable (solar) energy forecasting.</td>
              <td>RMSE, MAE (implied), comparison of predicted vs actual curves.</td>
              <td>Random Forest and Extra Trees achieved the best prediction accuracy; Linear Regression and SVR underperformed, while NN regression showed competitive results but slightly below tree ensembles.</td>
            </tr>
            <tr>
              <td>Jebli et al. (<xref ref-type="bibr" rid="ref-1d1ba0c1-f554-4861-b962-d5265d03b436">2021</xref>)</td>
              <td>Morocco</td>
              <td>Pearson correlation-based feature selection combined with LR, RF, SVR, and ANN for real-time and short-term SE prediction.</td>
              <td>MAE, MSE, RMSE, R² for various horizons and models.</td>
              <td>RF and ANN delivered the highest accuracy for both real-time and short-term forecasting; LR and SVR produced noticeably larger errors. Model generalization was confirmed using an additional site in Brazil (Pirapora).</td>
            </tr>
            <tr>
              <td>Ağbulut et al. (<xref ref-type="bibr" rid="ref-42db926c-49d3-46d9-a394-4e90d76ea49d">2021</xref>)</td>
              <td>Turkey</td>
              <td>ANN, SVM, k-NN, and DL for daily GSR prediction in four provinces representing different solar regimes.</td>
              <td>R², RMSE, rRMSE, MBE, MABE, MAPE, t-stat.</td>
              <td>All ML models performed well (R² 0.855-0.936), but ANN was the best-fitting algorithm, followed by DL and SVM; k-NN had the weakest performance. ANN exceeded t-critic thresholds and provided the most reliable predictions.</td>
            </tr>
            <tr>
              <td>Gao et al. (<xref ref-type="bibr" rid="ref-0be482cd-87e2-4559-991c-15c7adadf211">2022</xref>)</td>
              <td>Japan</td>
              <td>Deep generative LSTM model for multi-step (≥24 h) SI prediction using historical measurements and temperature weather forecasts in Tokyo.</td>
              <td>Comparison of multi-step prediction errors vs conventional regression LSTM under different horizons and forecast lead times.</td>
              <td>Generative LSTM mitigated error accumulation and improved accuracy by 7.7% over regression LSTM; incorporating 1-day-ahead temperature forecasts improved accuracy substantially, while older or daily-averaged temperature forecasts gave limited benefit.</td>
            </tr>
            <tr>
              <td>Sansine et al. (<xref ref-type="bibr" rid="ref-e4e517de-3148-4037-8ae5-bc6e123e3eda">2022</xref>)</td>
              <td>French</td>
              <td>Hybrid PSO-optimized models (PSO-XGBoost, PSO-LSTM, PSO-GBRT) for day-ahead hourly SI forecasting using AROME NWP plus historical data; probabilistic forecasts via residual-based quantile mapping.</td>
              <td>Deterministic metrics (e.g., RMSE, MAE) and probabilistic metrics using 38%, 68%, 95%, 99% prediction intervals.</td>
              <td>PSO-LSTM achieved the best overall deterministic and probabilistic performance among all tested models (ANN, CNN, RF, LSTM, GBRT, XGBoost and their PSO variants), delivering accurate day-ahead forecasts and well-calibrated prediction intervals suitable for microgrid operation.</td>
            </tr>
            <tr>
              <td>Ledmaoui et al. (<xref ref-type="bibr" rid="ref-11166cbf-f5bc-4b10-96bb-afe4283ec085">2023</xref>)</td>
              <td>Morocco</td>
              <td>Comparison of ML models (SVR, ANN, DT, RF, GAM, XGBoost) for daily SE production forecasting using one year of PV plant data in Benguerir.</td>
              <td>RMSE, MAE, MASE, R² (train/test).</td>
              <td>ANN emerged the most effective model, with the lowest RMSE and MASE and also with the highest R². In this study, optimal ANN architecture identified for deployment in PV operational forecasting and maintenance planning.</td>
            </tr>
            <tr>
              <td>Chakraborty et al. (<xref ref-type="bibr" rid="ref-fe874017-f25d-49b6-a838-d223cd23fcf1">2023</xref>)</td>
              <td>India</td>
              <td>Ensemble learning (Bagging, Boosting, Stacking, Voting) plus classical regressors for PV power prediction using SRRA meteorological data and a 10 kWp rooftop plant; integrated feature-selection/data-mining pipeline.</td>
              <td>R², RMSE and related regression error measures over 7 months of field data.</td>
              <td>Stacking and Voting ensembles achieved =96% prediction accuracy, outperforming individual base learners; the proposed framework generalized well and was recommended for larger PV plants in similar climates.</td>
            </tr>
            <tr>
              <td>Chaaban and Alfadl (<xref ref-type="bibr" rid="ref-192fd557-7844-467e-a2cf-cbb961baff93">2024</xref>)</td>
              <td>Saudi Arabia</td>
              <td>Comparative ML study (ANN, RF, LSTM, k-NN) for PV energy yield prediction using historical PV output, meteorological, and SI data from a large industrial PV plant.</td>
              <td>MAE, RMSE under different input configurations (meteorological-only vs meteorological + irradiation).</td>
              <td>Random Forest consistently outperformed ANN, LSTM, and k-NN; with meteo-only inputs it achieved MAE = 0.06 and RMSE = 0.15, and using meteo+irradiation improved performance further (MAE = 0.03, RMSE = 0.09), offering robust, stable PV forecasts.</td>
            </tr>
            <tr>
              <td>Tanoli et al. (<xref ref-type="bibr" rid="ref-1e569e96-65c6-43de-8a13-0ea4d60d8958">2024</xref>)</td>
              <td>Pakistan / Saudi Arabia</td>
              <td>ML models (LR, DT, R, FFNN, LSTM) for surface SR prediction over 45 glaciers in KPK and Gilgit using CERES data (2001-2021).</td>
              <td>MSE, MAE, nRMSE, R² for each model and region.</td>
              <td>Feed-forward neural network (FFNN) gave the best performance (nRMSE = 0.07-0.08, R² = 0.89-0.92), outperforming LR, DT, RF, and LSTM; results are useful for renewable planning and glacier/climate impact assessment.</td>
            </tr>
            <tr>
              <td>Reddy et al. (<xref ref-type="bibr" rid="ref-2334d412-7973-4eea-af71-bd4bb7f78467">2025</xref>)</td>
              <td>India</td>
              <td>Global-scale solar potential assessment using multiple ML models with XGBoost selected for final deployment; inputs include geospatial, meteorological, infrastructure layers and CMIP6 climate projections (1980-2099).</td>
              <td>RMSE, MAE for SE potential; validation in case-study regions (Mindanao, Gobi-Altai, Peloponnese).</td>
              <td>XGBoost outperformed alternative models, achieving RMSE of 0.97 kWh/m² and MAE of 0.76 kWh/m². It also provides long-term, climate-informed solar potential and techno-economic indicators for rapid site screening and planning.</td>
            </tr>
            <tr>
              <td>Pourmir and Miri (<xref ref-type="bibr" rid="ref-b0a0398f-9cad-4c6e-b9cf-2314117f0cba">2025</xref>)</td>
              <td>Iran</td>
              <td>Weather-based SE forecasting using statistical tests (Kolmogorov-Smirnov, correlation), PCA for dimensionality reduction, and weighted linear regression, boosted trees, CNN, LSTM, CNN-LSTM, and Temporal Convolutional Network (TCN).</td>
              <td>Training/testing errors (%), parameter count, computation time.</td>
              <td>TCN delivered the best balance of accuracy and complexity, with lowest errors and fewer parameters than CNN-LSTM and other deep models; CNN-LSTM also performed strongly but at higher computational cost. TCN was recommended as an efficient, adaptable forecasting model across locations.</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <sec id="sec3">
        <title>Database Selection and Evidence Sets</title>
        <p>This review combines bibliometric mapping with a critical narrative discussion of machine learning in solar-energy systems. Scopus provided two related, separately analysed bibliographic sets. The photovoltaic search used “Machine Learning AND Photovoltaics” in the article title, abstract and keywords fields. Its export contains 1,954 distinct Scopus EIDs from 2010–2026: 1,143 articles, 606 conference papers, 146 reviews and 59 other records. Two records are marked “Retracted” and are retained in that descriptive total but not used as technical evidence. A broader search for “Machine Learning AND Solar Energy” returned 6,767 results. Because the two searches cover different, potentially overlapping populations, we interpret their VOSviewer maps separately and do not combine their counts. The 2026 entries represent a partial publication year and are not treated as a complete annual trend. The technical synthesis draws on relevant published studies of irradiance and photovoltaic forecasting, fault detection, energy management and grid applications; it is not a screened subset of either bibliometric set. We interpret reported results by target variable, forecast horizon, input source, climate, sample size, chronological validation, prevention of preprocessing leakage, benchmark choice, uncertainty assessment and testing at another site or period. These criteria guide the discussion rather than constitute a numerical quality score or a formal risk-of-bias assessment. The retained materials do not establish the exact search dates, full executed queries, filters, duplicate-removal log or screening decisions. VOSviewer version 1.6.20 is visible in the analysis records, but the original counting and normalisation settings, thesaurus and native network files are unavailable for verification. We therefore present descriptive maps and a selective technical synthesis, without a PRISMA flow or claims of systematic-review completeness. These constraints limit independent reproduction and cross-study comparisons.</p>
      </sec>
      <sec id="sec4">
        <title>Descriptive Bibliometric Results</title>
        <p>Figure 3 displays the original country and keyword visualisations for the two separate searches. The keyword maps show solar forecasting and machine-learning terms alongside PV, grid-management and meteorological terms. These are qualitative readings of the displayed maps, not evidence of model superiority, thematic evolution or operational adoption. The earlier analysis reported 16,018 distinct keywords, 1,626 with at least five occurrences and selection of 1,000 by total link strength. The underlying term list and VOSviewer processing log were unavailable, so these intermediate counts and threshold choices could not be independently verified from the photovoltaic csv. The photovoltaic country-selection screenshot lists the five countries with greatest displayed total link strength (TLS): China (475 documents; TLS 245), Saudi Arabia (123; 227), United States (289; 194), United Kingdom (104; 130) and India (278; 121). Their TLS values total 917, giving the percentages in the lower pie of Figure 3 after rounding: 26.7%, 24.8%, 21.2%, 14.2% and 13.2%, respectively. These percentages describe the combined TLS of only those five selected countries, not shares of publications. The upper panel represents the separate solar-energy search and is not pooled with the photovoltaic data. A co-authorship link reflects collaboration within a retrieved set; it does not establish research quality or model performance.</p>
        <fig id="fig3">
          <label>Figure 3</label>
          <caption><p>Original VOSviewer country and keyword maps for the separate machine-learning-and-solar-energy (upper) and machine-learning-and-photovoltaics (lower) searches. The pie percentages are each of five selected countries’ combined total link strength, not shares of all publications; the underlying VOSviewer artwork is unchanged.</p></caption>
          <graphic xlink:href="obj/6f/0b/6f0bfcbe8e50295798450b4c94f7a3e0f6bb2bf29fe5067497386420b70b1872"/>
        </fig>
      </sec>
    </sec>
    <sec id="sec5">
      <title>Solar Energy Resources and Management: An Overview</title>
      <sec id="sec6">
        <title>Solar Radiation Types</title>
        <p>Solar-resource information supports decisions from long-term site selection and capacity planning to short-term dispatch, storage scheduling, and grid balancing. Figure 4 presents a visual overview of the solar energy resources and management framework adopted in this study. ML is particularly useful because it can integrate ground observations, satellite products, NWP outputs, remote-sensing indices, and historical operating data while representing nonlinear atmospheric variability (<xref ref-type="bibr" rid="ref-085df298-3b66-42a7-b6ea-46cb26b815c0">Sulaiman and Mustaffa 2024</xref>; <xref ref-type="bibr" rid="ref-78e4f963-b0f4-4b2a-8cbf-bead0350378d">Sun <italic>et al.</italic> 2022</xref>; <xref ref-type="bibr" rid="ref-5a363e44-bb98-4d0b-8586-c357c330df06">Liu <italic>et al.</italic> 2022</xref>). For practical solar-energy modelling, the principal surface components are GHI, DNI, and DHI, whose physical meaning and measurement constraints determine the appropriate target, input data, and downstream application (<xref ref-type="bibr" rid="ref-5a363e44-bb98-4d0b-8586-c357c330df06">Liu <italic>et al.</italic> 2022</xref>).</p>
        <fig id="fig4">
          <label>Figure 4</label>
          <caption><p>Visualized overview of SERM used in this study</p></caption>
          <graphic xlink:href="obj/7c/fc/7cfce0903f7d217aed793f4ccfc2ef1a70d75981700157040f4346a9f53bf348"/>
        </fig>
        <p>At the surface, solar radiation is modified by absorption, scattering, reflection, and solar geometry. The three principal components satisfy the horizontal-plane relationship <inline-formula><tex-math><![CDATA[GHI = DHI + DNI \text{cos}(\theta_{z})]]></tex-math></inline-formula>, where theta z is the solar zenith angle. This identity provides a useful physical-consistency check for measurements and component-wise ML predictions (<xref ref-type="bibr" rid="ref-5a363e44-bb98-4d0b-8586-c357c330df06">Liu <italic>et al.</italic> 2022</xref>).</p>
        <sec id="sec7">
          <title>Global Horizontal Irradiance (GHI)</title>
          <p>GHI is the total shortwave radiation received on a horizontal surface and is the most widely measured target for PV resource assessment. It combines the horizontal projection of the direct beam with diffuse radiation and is commonly measured by pyranometers or obtained from satellite and reanalysis products. Because GHI responds strongly to cloud and aerosol variability, it is central to PV yield estimation and short-term power forecasting (<xref ref-type="bibr" rid="ref-5a363e44-bb98-4d0b-8586-c357c330df06">Liu <italic>et al.</italic> 2022</xref>; <xref ref-type="bibr" rid="ref-5bdaf973-992a-4975-89f7-d81ec046fe81">Lauret <italic>et al.</italic> 2024</xref>).</p>
        </sec>
        <sec id="sec8">
          <title>Direct Normal Irradiance (DNI)</title>
          <p>DNI is the direct beam received by a surface normal to the Sun and is the key resource for CSP and concentrating PV. It is measured with a sun-tracking pyrheliometer and is highly sensitive to clouds, aerosols, and solar geometry. Long-term DNI observations are less widely available than GHI, so ML, satellite retrievals, and decomposition models are often used to estimate it for dispatch and thermal-storage planning (<xref ref-type="bibr" rid="ref-7df651b4-d85e-488a-800a-97146ef66ceb">Paletta <italic>et al.</italic> 2023</xref>; <xref ref-type="bibr" rid="ref-a7e6b69e-0893-4bbe-9840-ca5ffed775e7">Lee 2025</xref>).</p>
        </sec>
        <sec id="sec9">
          <title>Diffuse Horizontal Irradiance (DHI)</title>
          <p>DHI is the sky-scattered component received on a horizontal surface after excluding the direct beam. It can be measured with a shaded pyranometer or derived from GHI and DNI. DHI becomes especially important under cloudy, polluted, shaded, and urban conditions, and the diffuse fraction is frequently used to classify sky states. Its stronger dependence on scattering processes makes it difficult to estimate, motivating ML models that use cloud, aerosol, and image-derived information while preserving the GHI-DNI-DHI relationship (<xref ref-type="bibr" rid="ref-76d80aa4-b73b-47a5-9dc2-534595a999da">Rajagukguk <italic>et al.</italic> 2021</xref>; <xref ref-type="bibr" rid="ref-3eea64c3-593d-4b9f-8f12-fccb376025f8">Rumbayan <italic>et al.</italic> 2012</xref>).</p>
        </sec>
      </sec>
      <sec id="sec10">
        <title>Key Challenges in Solar Energy Resources and Management</title>
        <p>Solar-energy management is constrained by a coupled atmosphere-measurement-technology problem. Rapid weather transitions and cloud motion create short-term ramps that historical time series or coarse NWP fields may miss (<xref ref-type="bibr" rid="ref-b6c13200-c732-43aa-a864-a0bec3d8d861">Juncklaus Martins <italic>et al.</italic> 2022</xref>). Ground sensors introduce calibration drift, soiling, shading, and data gaps, with DNI and DHI particularly affected by sparse measurement coverage (<xref ref-type="bibr" rid="ref-f2fd9361-666e-4fd2-825c-05494dca648c">Daniel-Durandt and Rix 2023</xref>; <xref ref-type="bibr" rid="ref-9b4be6cb-a2f8-47c6-8d47-9d1d18b463ed">Esposito <italic>et al.</italic> 2024</xref>). Models also face geographical shift because irradiance statistics differ across maritime, arid, monsoon, mountain, and urban environments (<xref ref-type="bibr" rid="ref-576d0628-6d36-4f57-bdcd-9d2511d6c157">Kumar and Suzuki 2019</xref>). Finally, the irradiance-to-power relationship is nonlinear because of cell temperature, spectral response, partial shading, soiling, ageing, mismatch, and inverter controls (<xref ref-type="bibr" rid="ref-fe77acf7-b38b-454d-b030-99c8773862b7">Rahman <italic>et al.</italic> 2023</xref>). These interacting sources of uncertainty limit model transferability and motivate quality control, domain adaptation, uncertainty-aware learning, and physically consistent prediction (<xref ref-type="bibr" rid="ref-5a363e44-bb98-4d0b-8586-c357c330df06">Liu <italic>et al.</italic> 2022</xref>; <xref ref-type="bibr" rid="ref-b816fa71-b75d-4247-b4b2-c9077625b0f8">Dai <italic>et al.</italic> 2025</xref>; <xref ref-type="bibr" rid="ref-492779fb-84ed-406f-881a-7f4db15f161e">Shata <italic>et al.</italic> 2025</xref>).</p>
      </sec>
      <sec id="sec11">
        <title>Solar Energy Management Tasks</title>
        <p>SE management spans forecasting, control, diagnostics, optimisation, demand coordination, and grid support (<xref ref-type="bibr" rid="ref-57336908-fa71-4c10-85fc-766a80de098c">Singh <italic>et al.</italic> 2024</xref>). These tasks share data but differ in time scale and decision objective. Forecasting estimates irradiance or PV power from seconds to days ahead; MPPT seeks the instantaneous operating point that maximizes module output; fault diagnosis detects soiling, hotspots, degradation, inverter failures, and wiring anomalies; farm optimisation coordinates trackers, inverters, maintenance, curtailment, storage, and dispatch; demand response aligns flexible loads with variable PV supply; and grid-integration tools support ramp-rate control, voltage regulation, reserve planning, and stability assessment. ML contributes by learning nonlinear relationships, extracting patterns from images and SCADA streams, and converting forecasts into adaptive control or maintenance decisions. The main value therefore lies not in prediction alone, but in linking prediction to operational action.</p>
        <sec id="sec12">
          <title>PV Power Forecasting</title>
          <p>PV power forecasting combines irradiance, meteorological, NWP, image, and historical power data to support balancing, reserve allocation, storage scheduling, market participation, and plant operation. LSTM, CNN, and ensemble models are widely used because they can represent nonlinear temporal and spatial variability (<xref ref-type="bibr" rid="ref-957d1e8a-a12f-42d7-b660-211f407df133">Ansong <italic>et al.</italic> 2025</xref>; <xref ref-type="bibr" rid="ref-5528e916-5bfd-4acd-b39c-db64733c15ae">Das <italic>et al.</italic> 2025</xref>).</p>
        </sec>
        <sec id="sec13">
          <title>Maximum Power Point Tracking (MPPT)</title>
          <p>ML-based MPPT learns the relationship between environmental and electrical variables and the optimal operating point, improving adaptation under rapid irradiance changes and partial shading compared with fixed-rule methods. Its practical role is to reduce oscillation and power loss while adapting to temperature, ageing, and changing module conditions (<xref ref-type="bibr" rid="ref-4b904a2f-ec53-43cb-ac57-a040023e5a44">Guanghua <italic>et al.</italic> 2025</xref>; <xref ref-type="bibr" rid="ref-fb83a0ff-c055-4cdc-acea-5877746642b0">Douli <italic>et al.</italic> 2025</xref>).</p>
        </sec>
        <sec id="sec14">
          <title>PV Fault Diagnosis</title>
          <p>For fault diagnosis, ML analyses electrical measurements, I-V curves, thermal or electroluminescence images, and SCADA streams to detect and classify anomalies and to support predictive maintenance. This approach is more scalable than manual inspection for large PV fleets, although performance depends on representative fault data and robust validation (<xref ref-type="bibr" rid="ref-c8634a66-2d03-4f52-a51c-7116433ffd52">Kull <italic>et al.</italic> 2025</xref>; <xref ref-type="bibr" rid="ref-0b7716ec-077d-48bf-85db-8bd187e05d7e">Taghezouit <italic>et al.</italic> 2024</xref>).</p>
        </sec>
        <sec id="sec15">
          <title>Solar Farm Control and Optimization</title>
          <p>At solar-farm scale, ML supports tracker and inverter optimisation, soiling and maintenance decisions, curtailment, storage dispatch, and economic operation. These applications require models that balance energy yield with equipment health and grid or market constraints rather than maximizing prediction accuracy alone (<xref ref-type="bibr" rid="ref-7c7c135b-e1ba-43f3-a1af-21a436832a70">Adekanbi <italic>et al.</italic> 2024</xref>; <xref ref-type="bibr" rid="ref-03988426-84b4-4cfb-8bff-eb8e1a8a8533">Polleux <italic>et al.</italic> 2022</xref>).</p>
        </sec>
        <sec id="sec16">
          <title>Load Management and Demand Response</title>
          <p>Load forecasting and demand response use ML to shift flexible demand, including HVAC, industrial loads, and electric-vehicle charging, toward periods of high PV availability. Better coordination reduces peaks, curtailment, and storage stress, but requires models that account for user behaviour as well as generation uncertainty (<xref ref-type="bibr" rid="ref-29796d22-4349-4e8e-8947-9273ce5ab5ec">Firoozi <italic>et al.</italic> 2025</xref>; <xref ref-type="bibr" rid="ref-10ca1174-8609-41dc-a756-e565add504a1">Banad <italic>et al.</italic> 2025</xref>).</p>
        </sec>
        <sec id="sec17">
          <title>Grid Stability Integration</title>
          <p>For grid stability, ML supports early warning, reserve scheduling, voltage and frequency control, ramp-rate management, and coordinated PV-battery operation. These uses are particularly important in weak or isolated grids, where rapid PV fluctuations can have system-level consequences (<xref ref-type="bibr" rid="ref-03988426-84b4-4cfb-8bff-eb8e1a8a8533">Polleux <italic>et al.</italic> 2022</xref>).</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec18">
      <title>Machine Learning Techniques used in Solar Energy</title>
      <p>ML methods in solar energy range from interpretable classical learners to data-intensive deep architectures and hybrid physics-data frameworks. Model selection should reflect data volume, input structure, forecast horizon, uncertainty requirements, computational resources, and deployment constraints rather than algorithm popularity (<xref ref-type="bibr" rid="ref-6ecfa337-c5b9-446b-a8a7-244ce38a568e">Santos <italic>et al.</italic> 2024</xref>). Figure 5 distils the principal standalone, ensemble, deep, hybrid, and emerging approaches reviewed here.</p>
      <fig id="fig5">
        <label>Figure 5</label>
        <caption><p>Standalone models, deep learning, ensemble, hybrid and emerging techniques used in SERM application</p></caption>
        <graphic xlink:href="obj/f8/24/f82471a7b2df67946724dadd40b473d5675b2499e1e9b0b480c4a7d14de049db"/>
      </fig>
      <sec id="sec19">
        <title>Classical Machine Learning Methods</title>
        <p>Classical methods remain strong baselines for structured meteorological and operational datasets. ANN provide flexible nonlinear approximation; SVM/SVR are effective for small-to-medium datasets with carefully tuned kernels; decision trees are interpretable but unstable as single learners; RF improve robustness through bagging and feature randomization; GPR provides predictive distributions and explicit uncertainty; and fuzzy systems or ANFIS incorporate rule-based reasoning. Their lower data and computational requirements often make them attractive for site-specific applications and embedded systems (<xref ref-type="bibr" rid="ref-9159aea7-e2ee-4e53-94fd-a128ab33d6eb">Mohammed <italic>et al.</italic> 2025</xref>).</p>
        <sec id="sec20">
          <title>Artificial Neural Networks (ANN)</title>
          <p>ANN map meteorological, temporal, and historical inputs to irradiance or PV power through nonlinear hidden layers. They are versatile and widely used for forecasting, missing-data reconstruction, and component estimation, but require careful regularisation and hyperparameter control to avoid overfitting and unstable results (<xref ref-type="bibr" rid="ref-425e3d16-7aca-4737-9753-766959a56257">André <italic>et al.</italic> 2024</xref>).</p>
        </sec>
        <sec id="sec21">
          <title>Support Vector Machines (SVM)</title>
          <p>SVM/SVR use kernel functions to represent nonlinear relationships while controlling model complexity. They have performed well for radiation estimation and PV power prediction when datasets are not very large, although accuracy depends on kernel and hyperparameter selection and standard formulations do not directly provide probabilistic uncertainty (<xref ref-type="bibr" rid="ref-7ad44017-28d4-43b1-8e2a-24f97de66144">Zhang 2025</xref>).</p>
        </sec>
        <sec id="sec22">
          <title>Decision Trees and Random Forests (DT and RF)</title>
          <p>Decision trees represent predictions as interpretable split rules but can overfit and vary substantially with the training sample. RF reduce this variance by averaging many trees trained on bootstrapped data and random feature subsets. RF handle nonlinear interactions, mixed features, and variable-importance analysis effectively, which explains their strong performance in many irradiance and PV forecasting benchmarks (<xref ref-type="bibr" rid="ref-1d70b99f-730a-460b-ae3b-0549b7c3b06d">Sun <italic>et al.</italic> 2024</xref>).</p>
        </sec>
        <sec id="sec23">
          <title>Gaussian Process Regression (GPR)</title>
          <p>GPR is a nonparametric probabilistic method that returns both a mean prediction and predictive uncertainty through a chosen covariance kernel. This makes it useful for risk-aware forecasting and scheduling, especially when data are moderate in size and uncertainty estimates are operationally important (<xref ref-type="bibr" rid="ref-2b4ef77b-9fec-45ea-9e32-966af8fdb051">Najibi <italic>et al.</italic> 2021</xref>).</p>
        </sec>
        <sec id="sec24">
          <title>Fuzzy Logic (FL) and ANFIS</title>
          <p>Fuzzy logic represents uncertain inputs through linguistic membership functions and transparent if-then rules, while ANFIS learns fuzzy-system parameters from data. These methods are useful for MPPT, control, and moderate-sized forecasting problems where interpretability matters, but model complexity can grow rapidly as the number of inputs and rules increases (<xref ref-type="bibr" rid="ref-37ada1df-1cde-4eca-ba32-f5be375baf06">Júnior <italic>et al.</italic> 2023</xref>; <xref ref-type="bibr" rid="ref-520f51d9-6cb1-4fd1-a3f5-664482d6b616">Sharkawy and Bekhiti 2026</xref>).</p>
        </sec>
      </sec>
      <sec id="sec25">
        <title>Ensemble Learning (EL)</title>
        <p>Ensemble learning combines multiple predictors to reduce bias, variance, or model-specific error. Bagging and RF stabilize high-variance learners; boosting methods such as XGBoost, LightGBM, and CatBoost sequentially correct residual error; and stacking uses a meta-learner to combine heterogeneous models. For structured solar datasets, ensembles often provide an effective accuracy-computation compromise and can outperform single ANN or SVR models when feature quality is high (<xref ref-type="bibr" rid="ref-06fc65d4-0821-4ce4-80be-8e8222edbd07">Ramírez-Rivera and Guerrero-Rodríguez 2024</xref>; <xref ref-type="bibr" rid="ref-3c39313f-e92f-4bba-9c58-97e3a7ead931">Anonto <italic>et al.</italic> 2025</xref>).</p>
      </sec>
      <sec id="sec26">
        <title>Deep Learning (DL) Architectures</title>
        <p>DL is most advantageous when large, high-resolution, sequential, spatial, or image-based datasets are available. LSTM networks model temporal dependence in irradiance and power series; CNN extract spatial features from sky or satellite imagery; CNN-LSTM hybrids integrate spatial and temporal information; and attention-based transformers can model long sequences and multi-step dependencies. Their benefits, however, must be weighed against training cost, data requirements, and reduced interpretability (<xref ref-type="bibr" rid="ref-9b6f9aca-d18d-4e9c-9403-546d7a1db52b">Barancsuk <italic>et al.</italic> 2025</xref>; <xref ref-type="bibr" rid="ref-912de71d-62bf-40be-9e65-dfbb65b269e9">Seman <italic>et al.</italic> 2026</xref>).</p>
      </sec>
      <sec id="sec27">
        <title>Hybrid and Optimization-Enhanced Models</title>
        <p>Hybrid models improve learning by combining optimisation, decomposition, or physical knowledge with ML. Metaheuristics such as GA and PSO tune network weights, kernels, hyperparameters, or feature subsets; wavelet, STL, and EMD decompositions separate multiscale or seasonal structure before prediction; and statistical-ML hybrids combine complementary assumptions. Physics-informed ML is especially promising because radiative, electrical, or energy-balance relations can be embedded as constraints or regularisation, improving consistency and potentially reducing extrapolation error (<xref ref-type="bibr" rid="ref-6ecfa337-c5b9-446b-a8a7-244ce38a568e">Santos <italic>et al.</italic> 2024</xref>). Figure 6 delineates the structural frameworks of the PSO and GA algorithms.</p>
        <fig id="fig6">
          <label>Figure 6</label>
          <caption><p>Structure of PSO and GA algorithms</p></caption>
          <graphic xlink:href="obj/89/7c/897cc1a17e4ea5a9ce25f0bfd98726afce5dfca0983061c946cbae2db34eaced"/>
        </fig>
      </sec>
      <sec id="sec28">
        <title>Emerging Methods</title>
        <p>Emerging methods shift the field from isolated forecasting toward distributed and adaptive energy intelligence. RL learns control policies for PV-battery dispatch, demand response, and MPPT; GNN represent spatial and electrical relationships among PV strings, inverters, feeders, or microgrids; federated learning may enable collaborative training across sites under stated privacy and communication assumptions; and digital twins may couple live measurements with virtual system models for monitoring, prediction, and what-if analysis. The reviewed evidence offers application-specific examples for reinforcement learning (<xref ref-type="bibr" rid="ref-634a600c-6e71-48b2-a82d-4763295e08db">Fang <italic>et al.</italic> 2025</xref>) and urban graph modelling (<xref ref-type="bibr" rid="ref-2ae78c91-8ed8-4063-b515-919fca9a6714">Li <italic>et al.</italic> 2025</xref>); broad deployment benefits of federated or agentic systems remain unestablished here. Safety, communication, cyber-security, validation and computation should be assessed separately. The emerging trends in SE applications using GNN and DT technologies are presented in Table 3.</p>
        <table-wrap id="tbl3">
          <label>Table 3</label>
          <caption><p>Emerging Trends for SE applications using GNN and DT Technology</p></caption>
          <table>
            <thead>
              <tr>
                <th><bold>Authors</bold></th>
                <th><bold>Country / Case Study</bold></th>
                <th><bold>Models Used</bold></th>
                <th><bold>Performance Indicators</bold></th>
                <th><bold>Results / Remarks</bold></th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>Li et al. (<xref ref-type="bibr" rid="ref-2ae78c91-8ed8-4063-b515-919fca9a6714">2025</xref>)</td>
                <td>China / Hong Kong / USA (New York City)</td>
                <td>Shadow-Attention Graph Neural Network (SAGNN), GNN</td>
                <td>RMSE, R², spatial resolution (1 m), PV yield estimation</td>
                <td>Proposed a novel SAGNN that explicitly models inter-building shading effects. Achieved high-resolution urban PV irradiation prediction over 1.08 million buildings.</td>
              </tr>
              <tr>
                <td>Tripathi and Pandey (<xref ref-type="bibr" rid="ref-38ab4eaa-5c10-42ea-8953-7c7229ae2ebc">2025</xref>)</td>
                <td>India</td>
                <td>CatBoost + GA, DE, Bayesian Optimization + DT</td>
                <td>RMSE, MAE, R²</td>
                <td>Introduced an integrated forecasting framework combining ML, evolutionary optimization, and Digital Twin (DT) correction.</td>
              </tr>
              <tr>
                <td>Olayiwola et al. (<xref ref-type="bibr" rid="ref-7c59e212-dc1a-4023-8291-6a4c75a5054a">2025</xref>)</td>
                <td>United Kingdom</td>
                <td>DT frameworks integrated with AI/ML, IoT, autonomous systems</td>
                <td>Qualitative benchmarking, system reliability, operational scalability</td>
                <td>Provided a comprehensive review of Digital Twin concepts for PV systems. Highlighted DTs’ role in predictive maintenance, fault diagnosis, and real-time monitoring.</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>No single model is universally best. Classical learners remain competitive for moderate structured datasets, ensemble, deep and physics-guided methods have different data and validation requirements. Their relative performance cannot be ranked across heterogeneous studies. Model comparison should therefore consider accuracy, uncertainty, robustness, transferability, interpretability, and deployment cost together. Figure 7 illustrates key emerging trends in SERM through Agentic AI in panel (a) and Digital Twin technology in panel (b).</p>
        <fig id="fig7">
          <label>Figure 7</label>
          <caption><p>Emerging Trend in SERM (a) Agentic AI (b) Digital Twin in SERM</p></caption>
          <graphic xlink:href="obj/1f/0f/1f0f9c475a5afb3a359b7054b595aa068f0a679786fa7e12040de6656a14bcb8"/>
        </fig>
      </sec>
    </sec>
    <sec id="sec29">
      <title>Machine Learning Applications in Solar Energy</title>
      <p>ML now supports the full solar-energy value chain, from resource estimation to grid operation. The most important distinction across applications is the decision being supported: a model suitable for minute-ahead nowcasting may be inappropriate for long-term site assessment or real-time control. Figure 8 integrates these applications.</p>
      <fig id="fig8">
        <label>Figure 8</label>
        <caption><p>ML applications in SERM</p></caption>
        <graphic xlink:href="obj/ac/0c/ac0cae085b0eda33d994a171d09dbefba3d94722d546ec1804c37ee3f6f363ef"/>
      </fig>
      <sec id="sec30">
        <title>Solar Radiation (SR) Forecasting</title>
        <p>SR forecasting predicts GHI, DNI, or DHI across horizons from minutes to days. Very short-term methods benefit from sky cameras, satellite imagery, cloud motion, and recent measurements; intraday forecasts often combine temporal ML with meteorological inputs; and day-ahead forecasts increasingly post-process NWP outputs. LSTM, CNN, ensembles, decomposition hybrids, and metaheuristic-tuned models can improve accuracy, but fair comparison requires climate-specific baselines, persistence benchmarks, and consistent forecast horizons. The strongest studies treat forecasting as an uncertainty problem rather than reporting point-error metrics alone.</p>
      </sec>
      <sec id="sec31">
        <title>PV Power Output Prediction</title>
        <p>PV power prediction adds module temperature, system design, degradation, inverter behaviour, shading, and soiling to irradiance uncertainty. Direct power models can learn the full weather-to-power mapping, while staged models first forecast irradiance and then convert it to power. RF and ensembles are often effective for structured plant data, whereas LSTM and hybrid models are useful when temporal dependence is strong. Operationally useful models should remain reliable during ramps, rare weather, curtailment, and equipment changes rather than only under average conditions.</p>
      </sec>
      <sec id="sec32">
        <title>Solar Farm Management and Optimization</title>
        <p>Solar-farm management extends prediction into action. ML can identify abnormal energy loss, prioritize cleaning and maintenance, forecast component failure, optimize trackers and inverter loading, coordinate storage, and support curtailment or dispatch decisions. RL and digital-twin approaches can further integrate forecasting and control, but deployment requires explicit constraints, safe fallback behaviour, and evaluation against economic and reliability outcomes rather than prediction error alone.</p>
      </sec>
      <sec id="sec33">
        <title>Solar Resource Assessment (SRA)</title>
        <p>Solar resource assessment increasingly combines ground observations with satellite, reanalysis, GIS, and climate-projection data. ML can correct bias, fill spatial gaps, downscale coarse products, and rank candidate sites. For long-term planning, transferability and climate non-stationarity are more important than small gains on a single historical test set; validation should therefore span multiple locations, seasons, and where possible future climate conditions.</p>
      </sec>
      <sec id="sec34">
        <title>Load Forecasting (LF) and Smart Grid Integration</title>
        <p>In smart grids and urban energy systems, ML-based load forecasts can be coordinated with PV forecasts, batteries, flexible buildings, and electric-vehicle charging. The resulting problem is inherently multivariate and decision-oriented: forecast errors affect reserve needs, curtailment, comfort, electricity cost, and network constraints. Future systems therefore require joint probabilistic forecasting and control rather than independently optimising solar generation and demand.</p>
      </sec>
    </sec>
    <sec id="sec35">
      <title>Comparative Analysis of Machine Learning Models</title>
      <p>Comparing solar ML models requires more than ranking a single error statistic. Performance depends on target variable, forecast horizon, temporal resolution, climate, sample size, feature set, validation strategy, and benchmark choice. Table 4 compares model families and the evidence needed to interpret them for a specified target, horizon and operational purpose.</p>
      <table-wrap id="tbl4">
        <label>Table 4</label>
        <caption><p>Model families and evidence needed for a valid solar-energy comparison</p></caption>
        <table>
          <thead>
            <tr>
              <th><bold>Model family</bold></th>
              <th><bold>Typical input and use</bold></th>
              <th><bold>Report in a fair comparison</bold></th>
              <th><bold>Interpretive limit</bold></th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td>SVR and Gaussian processes<break/>Zeng and Qiao (<xref ref-type="bibr" rid="ref-649aed8f-e61c-41a3-8208-ffa1f31f2107">2013</xref>); Najibi et al. (<xref ref-type="bibr" rid="ref-2b4ef77b-9fec-45ea-9e32-966af8fdb051">2021</xref>)</td>
              <td>Moderate structured meteorological records; irradiance or PV power</td>
              <td>Same-site temporal test, tuned baseline, data volume and uncertainty if claimed</td>
              <td>Kernel choice and scalability affect results.</td>
            </tr>
            <tr>
              <td>Random forests and boosting<break/>Chakraborty et al. (<xref ref-type="bibr" rid="ref-fe874017-f25d-49b6-a838-d223cd23fcf1">2023</xref>)</td>
              <td>Tabular weather and plant data; short-term power or resource estimation</td>
              <td>Persistence or physical baseline, site and climate, horizon, missing-data protocol</td>
              <td>Trees may extrapolate poorly beyond observed conditions.</td>
            </tr>
            <tr>
              <td>Recurrent and convolutional networks<break/>Ansong et al. (<xref ref-type="bibr" rid="ref-957d1e8a-a12f-42d7-b660-211f407df133">2025</xref>); Barancsuk et al. (<xref ref-type="bibr" rid="ref-9b6f9aca-d18d-4e9c-9403-546d7a1db52b">2025</xref>)</td>
              <td>Sequential measurements, sky images or satellite fields</td>
              <td>Training size, compute, chronological split, image availability, baseline</td>
              <td>Larger error reductions at one site do not establish transfer.</td>
            </tr>
            <tr>
              <td>Hybrid and physics-guided models<break/>Liu et al. (<xref ref-type="bibr" rid="ref-5a363e44-bb98-4d0b-8586-c357c330df06">2022</xref>); Santos et al. (<xref ref-type="bibr" rid="ref-6ecfa337-c5b9-446b-a8a7-244ce38a568e">2024</xref>)</td>
              <td>Joint physical variables and observational data</td>
              <td>Physical-closure check plus independent forecast skill and ablation</td>
              <td>A physically consistent prediction may still be inaccurate.</td>
            </tr>
            <tr>
              <td>Graph and control methods<break/>Fang et al. (<xref ref-type="bibr" rid="ref-634a600c-6e71-48b2-a82d-4763295e08db">2025</xref>); Li et al. (<xref ref-type="bibr" rid="ref-2ae78c91-8ed8-4063-b515-919fca9a6714">2025</xref>)</td>
              <td>Spatial shading, networks, batteries and dispatch states</td>
              <td>External-site or operational test, safety constraints, decision cost</td>
              <td>Application examples do not prove general deployment benefit.</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <sec id="sec36">
        <title>Performance Metrics</title>
        <p>Common metrics include MAE and RMSE for absolute error, MAPE or normalized RMSE for scale-independent comparison, R² or correlation for association, and bias measures for systematic over- or under-prediction. No metric is sufficient alone: RMSE emphasises large errors, MAPE can be unstable near zero, and high R² does not guarantee low operational error. For real deployment, studies should also report uncertainty calibration, inference time, model size, robustness to missing or shifted data, and performance during high-impact ramps. Evaluation should use temporally separated testing and, where relevant, external-site validation rather than random splits that leak seasonal information.</p>
      </sec>
      <sec id="sec37">
        <title>Model Strengths and Weaknesses</title>
        <p>Model strengths are application-specific. SVM and GPR are attractive for smaller datasets, with GPR adding uncertainty estimates but scaling poorly to very large samples. RF and boosting methods are robust on structured data and offer useful feature importance, although tree ensembles may struggle to extrapolate beyond the training range. ANN and LSTM capture nonlinear temporal behaviour but require careful tuning and adequate data. CNN and transformers are powerful for imagery and long sequences but are computationally intensive. Hybrid and physics-informed models can improve accuracy and consistency, yet additional complexity is justified only when gains persist under external validation. Interpretability, maintainability, and computational cost should therefore be treated as model-selection criteria, not afterthoughts.</p>
      </sec>
      <sec id="sec38">
        <title>Benchmark Datasets</title>
        <p>Reliable benchmarking depends on accessible, quality-controlled datasets with clear metadata. NREL and other public solar archives support reproducibility, but many published studies still use private single-site datasets, inconsistent preprocessing, and different train-test periods. Progress would be accelerated by benchmark suites spanning climates, forecast horizons, sensor types, PV technologies, and operational disturbances, together with standard persistence, physical, and ML baselines. Such benchmarks should include missing data, sensor drift, and distribution shift rather than only clean historical records.</p>
      </sec>
    </sec>
    <sec id="sec39">
      <title>Research Trends in Machine Learning Applications for Solar Energy</title>
      <p>Across the selected technical studies, solar ML evolved through four broad phases: early ANN and SVM estimation; wider use of RF, boosting, and systematic model comparison; rapid adoption of LSTM, CNN, imagery, and hybrid decomposition after the mid-2010s; and, more recently, physics-informed learning, transformers, digital twins, federated learning, GNN, and RL. The central trend is a shift from isolated point prediction toward integrated, multi-source, uncertainty-aware, and decision-coupled systems. At the same time, the literature increasingly recognizes that gains reported at one site do not guarantee cross-climate or operational robustness.</p>
    </sec>
    <sec id="sec40">
      <title>Challenges and Research Gaps in Machine Learning-Based Solar Energy Systems</title>
      <p>Five research gaps remain decisive. First, data quality and representativeness are inconsistent, particularly for DNI, DHI, faults, and extreme weather. Second, geographical and temporal distribution shift limits transfer across climates, plants, and changing operating conditions. Third, many studies optimize average prediction error while neglecting uncertainty, ramp events, rare failures, and economic consequences. Fourth, complex DL and hybrid models often lack interpretability, reproducibility, and fair comparison with strong baselines. Fifth, the transition from retrospective modelling to real-time deployment remains weak because latency, cyber-security, communication failures, maintenance, and safe control are rarely evaluated. Addressing these gaps requires open benchmarks, external validation, uncertainty-aware metrics, interpretable modelling, and closer integration between atmospheric physics, PV engineering, and operational decision-making.</p>
    </sec>
    <sec id="sec41">
      <title>Future Direction</title>
      <p>Future research should prioritize models that remain reliable under changing climates, locations, sensors, and system configurations. Physics-informed and hybrid learning can constrain predictions with radiative and electrical knowledge; transfer and domain adaptation can reduce the need for complete retraining; probabilistic and conformal methods can communicate forecast uncertainty; and federated learning can support multi-site learning while preserving data ownership. Digital twins and RL can connect forecasting with maintenance and control, while GNN can represent networked PV and urban energy infrastructures. The critical methodological shift is from maximizing benchmark accuracy to demonstrating generalisation, physical consistency, calibrated uncertainty, computational feasibility, and measurable operational value.</p>
    </sec>
    <sec id="sec42">
      <title>Policy Implications and Practical Recommendations</title>
      <p>Policy should support the data and governance infrastructure required for trustworthy AI-enabled solar systems. Public agencies and grid operators should promote interoperable solar, weather, and operational datasets; standardize quality control and metadata; and require transparent reporting of validation protocols and uncertainty. Investment in open benchmarks and shared testbeds would reduce duplicated effort and improve comparison across regions. For cities, planning frameworks should link rooftop and building-integrated PV forecasts with storage, flexible demand, electric mobility, and distribution-network constraints so that AI supports system-level decarbonisation rather than isolated asset optimisation. Regulation should also address model accountability. Grid codes and procurement rules for AI-enabled inverters, forecasting services, digital twins, and autonomous energy-management systems should define minimum requirements for robustness, cyber-security, human oversight, fallback operation, and post-deployment monitoring. Capacity building is equally important: regions with high solar potential but limited data infrastructure need investment in sensing, data stewardship, and technical skills to avoid widening the digital divide in renewable-energy deployment.</p>
      <p>Limitations of the review. No auditable PRISMA flow, independent dual screening or complete extraction file was supplied. Consequently, the 1,954 PV export records and the 6,767-result solar-energy screenshot describe bibliometric searches, not the number of studies critically reviewed. Their retrieval counts cannot establish an eligible-study count or a duplicate-removal total. Performance conclusions remain conditional on the study designs and reported benchmarks.</p>
    </sec>
    <sec id="sec43">
      <title>Conclusions</title>
      <p>This review combines two descriptive bibliometric maps with a selective technical discussion of ML in solar radiation and PV operations. No single algorithm is supported as universally superior: irradiance and PV-power studies differ in target, climate, data source, forecast horizon and validation. Directly comparable studies support task-specific insights, including the value of imagery in short-range irradiance forecasting (<xref ref-type="bibr" rid="ref-957d1e8a-a12f-42d7-b660-211f407df133">Ansong <italic>et al.</italic> 2025</xref>), physics-informed features and interpretation (<xref ref-type="bibr" rid="ref-5a363e44-bb98-4d0b-8586-c357c330df06">Liu <italic>et al.</italic> 2022</xref>), and probabilistic benchmarking (<xref ref-type="bibr" rid="ref-5bdaf973-992a-4975-89f7-d81ec046fe81">Lauret <italic>et al.</italic> 2024</xref>). Broad claims of ensemble or deep-learning superiority do not follow from heterogeneous reported errors. The main evidential limitation is that the technical studies were not drawn from a fully documented systematic selection and were not formally scored for leakage, sample size, external-site testing, calibration or code availability. The exact bibliometric retrieval dates and full native files are unavailable for independent reconstruction, and 2026 is incomplete. The review therefore treats cross-climate transfer, physical closure, uncertainty and operational value as evaluation priorities. Digital twins, reinforcement learning, graph methods, federated learning and agentic systems remain emerging, application-specific directions; deployment claims require field validation, safety assessment and decision-level outcomes (<xref ref-type="bibr" rid="ref-634a600c-6e71-48b2-a82d-4763295e08db">Fang <italic>et al.</italic> 2025</xref>; <xref ref-type="bibr" rid="ref-2ae78c91-8ed8-4063-b515-919fca9a6714">Li <italic>et al.</italic> 2025</xref>).</p>
    </sec>
  </body>
  <back>
    <fn-group>
      <fn fn-type="conflict"><p>The authors declare no competing interests</p></fn>
      <fn fn-type="data-availability"><p>The photovoltaic bibliometric analysis used a Scopus CSV containing 1,954 records and unique EIDs, together with Scopus export and VOSviewer screenshots. The separate solar-energy export, full executed queries, retrieval dates, deduplication log, thesaurus and native VOSviewer map files were unavailable for this revision. A shareable identifier and derived-metadata file should be deposited with the final article where permitted; the search history and processing files are required to reproduce the original maps fully.</p></fn>
      <fn fn-type="ethics"><p>This review and bibliometric study analysed published literature and bibliographic records and involved no human participants or animal subjects. Ethical approval and informed consent were not applicable.</p></fn>
    </fn-group>
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