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Search Results (502)

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Keywords = photovoltaic power generation forecast

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15 pages, 2513 KB  
Article
Bi-Mamba-Based Net-Load Forecasting Method with Multidimensional Temporal Information Fusion
by Guodong Guo, Ke Zhang, Zhidong Wang, Fan Li, Jinju Huang and Xiuming Bao
Energies 2026, 19(15), 3682; https://doi.org/10.3390/en19153682 (registering DOI) - 5 Aug 2026
Abstract
With the rise in small-scale distributed photovoltaic (PV) power generation technology, the behind-the-meter PV problem has greatly increased the difficulty of power system regulation and management and accurate net-load forecasting is of great significance to the economic and stable operation of the power [...] Read more.
With the rise in small-scale distributed photovoltaic (PV) power generation technology, the behind-the-meter PV problem has greatly increased the difficulty of power system regulation and management and accurate net-load forecasting is of great significance to the economic and stable operation of the power system. The timing features of the net-load sequence are complex due to a variety of factors. In order to improve the extraction effect of the timing model on the timing features of the net-load sequence and to increase the accuracy of the net-load prediction, a net-load prediction method considering multidimensional timing information is proposed. A Mamba module is introduced into the model to filter the input data, retaining some of the effective contextual information while improving the operational efficiency of the model. The structure of Bi-Mamba is used to construct a bidirectional time-series feature extraction model, which fuses the date attributes and the positive and negative time-series features of the net load to improve the stability and accuracy of the model prediction. The results of the validation algorithms show that the proposed method can reduce the normalized Mean Absolute Error (nMAE) by 17.72% and the normalized Root Mean Squared Error (nRMSE) by 21.51% compared with the temporal convolutional network (TCN) baseline. Furthermore, the model exhibits robust stability across different seasons and day types, providing a reliable reference for scheduling decisions in power systems with high PV penetration. Full article
(This article belongs to the Section A2: Solar Energy and Photovoltaic Systems)
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10 pages, 2569 KB  
Proceeding Paper
Data-Driven Electricity Forecasting for Small Grid-Tied Photovoltaic Power Plants in the Transition from Centralized to Distributed Generation
by Rumen Mihailov and Vladimir Valkanov
Eng. Proc. 2026, 150(1), 90; https://doi.org/10.3390/engproc2026150090 - 30 Jul 2026
Viewed by 79
Abstract
The rapid expansion of renewable weather-dependent electricity generators has created a challenge in the way grid operators manage electricity dispatch. This article explores the core challenges of managing the instantaneous balance between generation and consumption needed to maintain healthy grid operation. The magnitude [...] Read more.
The rapid expansion of renewable weather-dependent electricity generators has created a challenge in the way grid operators manage electricity dispatch. This article explores the core challenges of managing the instantaneous balance between generation and consumption needed to maintain healthy grid operation. The magnitude of the challenge is depicted clearly by the 2025 Iberian Peninsula blackout, listing as a main contributing factor the large penetration of renewable energy in the grid. The article proposes a model to better forecast photovoltaic production and limit grid entropy. It also outlines how the implementation of such a model would lead to increased feed-in prices for producers and offset renewable cannibalization as well as a lower end-user electricity bill. Full article
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24 pages, 5072 KB  
Article
Ultra-Short-Term Photovoltaic Power Forecasting Based on a Hybrid Decomposition Linear Long Short-Term Memory Model
by Fuyan Huang, Gang Xiao, Keqin Wang, Jing Nie, Jiajing Qiu and Xueming Shen
Energies 2026, 19(15), 3571; https://doi.org/10.3390/en19153571 - 29 Jul 2026
Viewed by 259
Abstract
The rapid expansion of photovoltaic (PV) systems poses significant challenges to grid stability. Hybrid Energy Systems (HES) are intended to alleviate this volatility, yet their coordinated dispatch often remains suboptimal due to communication delays and ramp-rate constraints. Accurate ultra-short-term PV power forecasting is [...] Read more.
The rapid expansion of photovoltaic (PV) systems poses significant challenges to grid stability. Hybrid Energy Systems (HES) are intended to alleviate this volatility, yet their coordinated dispatch often remains suboptimal due to communication delays and ramp-rate constraints. Accurate ultra-short-term PV power forecasting is therefore essential, as it enables preemptive control and timely dispatch adjustments that unlock the full potential of HES. In this study, we propose a novel AI hybrid forecasting framework that integrates a rule-based model with a Decomposition Linear (DLinear) Long Short-Term Memory (LSTM) deep learning core, representing, to the best of our knowledge, a novel integration of a decomposition-based linear model (DLinear) with LSTM networks for ultra-short-term PV power forecasting. The DLinear component decomposes the time series into trend and remainder sequences, which are then independently modeled by separate LSTM networks to capture distinct dynamics. Using data from a 300 kWp PV power station, the framework achieves an average daily prediction accuracy exceeding 93% for both 5-min and 15-min horizons. The model reliably tracks power variations under sunny and rainy conditions, while under volatile cloudy weather its accuracy decreases but still captures essential fluctuation patterns. These results demonstrate the potential of the proposed framework for improving the dispatch and operational reliability of hybrid energy systems. However, further validation across additional seasons and sites is needed to establish broader generalizability. Full article
(This article belongs to the Section A2: Solar Energy and Photovoltaic Systems)
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27 pages, 3108 KB  
Article
The Lightweight Hybrid Deep Learning Approach for Capturing Long-Term and Short-Term Constraints for an Accurate Solar Radiation Forecast
by Nasser Alkhaldi
Processes 2026, 14(15), 2449; https://doi.org/10.3390/pr14152449 - 29 Jul 2026
Viewed by 205
Abstract
Accurate solar radiation forecasting is essential for photovoltaic energy generation, smart grid stability, and renewable energy management. This study proposes a lightweight hybrid deep learning framework that combines a transformer encoder and Gated Rrecurrent Uunit (GRU) network for short-term solar radiation forecasting in [...] Read more.
Accurate solar radiation forecasting is essential for photovoltaic energy generation, smart grid stability, and renewable energy management. This study proposes a lightweight hybrid deep learning framework that combines a transformer encoder and Gated Rrecurrent Uunit (GRU) network for short-term solar radiation forecasting in Makkah and Madinah, Saudi Arabia. Hourly meteorological data from the NASA POWER dataset (2020–2025) were utilized, including solar radiation intensity, temperature, humidity, wind speed, cloud amount, rainfall, surface pressure, and dew point temperature. A preprocessing pipeline consisting of missing value treatment, outlier removal, normalization, timestamp alignment, and data cleaning was applied to improve data quality. Feature engineering techniques were incorporated to capture temporal dependency, meteorological interactions, weather dynamics, and solar variability patterns. The transformer encoder was used to learn long-range temporal dependencies through multi-head self-attention, while the GRU layer modeled sequential temporal dynamics efficiently. Hyperparameter optimization was performed using Bayesian optimization with Optuna. The experimental results demonstrate that the proposed transformer GRU framework achieved a Mean Absolute Error (MAE) of 0.014, Root Mean Square Error (RMSE) of 0.0219, and a coefficient of determination (R2) of 0.98. The proposed model outperformed ARIMA, LSTM, GRU, and XGBoost models while maintaining stable performance across varying weather conditions and forecasting horizons. Full article
(This article belongs to the Section Energy Systems)
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21 pages, 2220 KB  
Article
A Hybrid XGBoost-Based Model Optimized with AVOA for Photovoltaic Power Forecasting
by Oğuz Taşdemir and İsmet Alagöz
Appl. Sci. 2026, 16(15), 7442; https://doi.org/10.3390/app16157442 - 25 Jul 2026
Viewed by 201
Abstract
Accurate forecasting of photovoltaic (PV) power generation is of critical importance for grid stability, energy management, and production planning in renewable energy systems. However, the high variability of atmospheric conditions and sudden fluctuations in solar irradiance significantly limit the performance of conventional forecasting [...] Read more.
Accurate forecasting of photovoltaic (PV) power generation is of critical importance for grid stability, energy management, and production planning in renewable energy systems. However, the high variability of atmospheric conditions and sudden fluctuations in solar irradiance significantly limit the performance of conventional forecasting models. In this study, a hybrid photovoltaic power forecasting model based on the XGBoost algorithm, whose hyperparameters are optimized using the Artificial Vulture Optimization Algorithm (AVOA) and enhanced with the physics-based Radiation Stability and Efficiency Index (RSEI), designated as RSEI-XGBoost-AVOA, is proposed. The proposed approach provides a forecasting framework that is not only data-driven but also sensitive to physical processes by jointly modeling the temporal stability of solar irradiance and intraday generation dynamics. In this context, irradiance variability is represented through statistical measures, while intraday generation behavior is modeled using a sinusoidal efficiency function, and this structure is made more flexible through parameters optimized by AVOA. The model performance was evaluated separately for four different seasons using real data obtained from a 25 MW photovoltaic power plant in Türkiye. The results show that the proposed hybrid (RSEI-XGBoost-AVOA) model produces lower error values than both the standard XGBoost model and the AVOA-optimized model across all seasons. The Mean Absolute Percentage Error (MAPE) and Root Mean Square Error (RMSE) values of the model were obtained as 4.15% and 0.4157 MW in summer, 6.07% and 0.2574 MW in winter, 8.03% and 0.7343 MW in spring, and 8.51% and 0.6135 MW in fall, respectively. These findings demonstrate that the proposed approach provides stable and generalizable forecasting performance even under highly variable atmospheric conditions and can be used as an effective decision-support tool for photovoltaic grid integration, short-term generation planning, and real-time energy management applications. Full article
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22 pages, 3340 KB  
Article
Diffusion Model with Multi-Source Data for Day-Ahead Renewable Energy Scenario Generation
by Lin Chen, Xinran Liu, Quanqi Chen, Guinan Ye, Wen Liu and Xiaotong Dai
Sustainability 2026, 18(15), 7526; https://doi.org/10.3390/su18157526 - 23 Jul 2026
Viewed by 275
Abstract
High-quality renewable energy (RE) scenario generation is essential for secure, reliable, and economic power system operation under high RE penetration. To address the limitations of existing methods in preserving scenario fidelity, diversity, spatiotemporal dependence, and engineering consistency, this paper proposes a three-stage framework [...] Read more.
High-quality renewable energy (RE) scenario generation is essential for secure, reliable, and economic power system operation under high RE penetration. To address the limitations of existing methods in preserving scenario fidelity, diversity, spatiotemporal dependence, and engineering consistency, this paper proposes a three-stage framework that combines a variational autoencoder (VAE) with a conditional latent diffusion model (CLDM), hereafter referred to as VAE-CLDM, for day-ahead renewable energy scenario generation. First, multi-source features are constructed by integrating renewable power outputs, meteorological variables, temporal lag information, and spatial correlation characteristics among wind farms and photovoltaic stations. Then, VAE compresses the high-dimensional features into a compact latent space while retaining key statistical and spatiotemporal information. Based on this latent representation, a CLDM generates realistic scenarios by progressively denoising random noise under meteorological conditions. A spatiotemporal feature modeling strategy is incorporated to better represent temporal fluctuations and inter-site correlations, while a diversity regulation factor is selected on the validation set to balance scenario fidelity and tail-event coverage. Finally, the generated scenarios are reconstructed into the physical space and checked using output-bound and ramp-consistency correction to improve their practical usability. Results on the open dataset released by the Chinese State Grid Renewable Energy Generation Forecasting Competition show that the proposed framework achieves the lowest root mean square error (RMSE), mean absolute error (MAE), and maximum mean discrepancy (MMD) among the tested models on the training-statistics-standardized renewable-power benchmark, with RMSE of 0.3013±0.0022, MAE of 0.3636±0.0010, and MMD of 0.04269±0.00040. After post-correction, lower- and upper-bound violations are reduced to 0.00%, and the ramp-violation rate is reduced to 0.08%, indicating that the proposed VAE-CLDM can provide useful scenario inputs for day-ahead dispatch and risk assessment in renewable-dominated power systems. Full article
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25 pages, 7871 KB  
Article
Deep Learning for Solar Power Forecasting by Integrating Historical and Meteorological Data
by Cheng He, Siyuan Zhao, Zhenshuo Guo, Xun Li, Chuanyu Sun and Mingming Ge
Energies 2026, 19(14), 3451; https://doi.org/10.3390/en19143451 - 22 Jul 2026
Viewed by 239
Abstract
With the global shift toward green energy, solar photovoltaic (PV) power has expanded rapidly. However, the unpredictable nature of PV generation, caused by changing weather conditions like irradiance and temperature, challenges grid stability and power scheduling. Therefore, developing smart forecasting models for high-precision [...] Read more.
With the global shift toward green energy, solar photovoltaic (PV) power has expanded rapidly. However, the unpredictable nature of PV generation, caused by changing weather conditions like irradiance and temperature, challenges grid stability and power scheduling. Therefore, developing smart forecasting models for high-precision PV power prediction is essential for modern grid management. This paper introduces an optimized forecasting framework using Long Short-Term Memory (LSTM) networks. By integrating historical power generation data with localized meteorological factors, a multivariate predictive model was developed and validated using empirical data from a 100 MW PV plant. Based on Pearson correlation analysis, four key features—temperature, direct normal irradiance (DNI), relative humidity, and cloud cover—were chosen as the main drivers of PV output. A multivariate LSTM model was then trained and carefully tested using time series cross-validation. Results show the multi-feature architecture consistently outperforms and surpasses single-feature benchmarks. Specifically, the model achieved a peak R2 of 0.9864 and minimum MAE of 1.4057 kW. Across four validation sets, R2 remained stable (0.9755–0.9836), with most errors tightly bounded within ±5 kW. These findings confirm the model’s excellent accuracy and its value for improving power system dispatch and resource planning. Full article
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28 pages, 10040 KB  
Article
Multi-Strategy Synergistically Optimized Point-Interval Prediction for Short-Term Photovoltaic Power
by Jianxin Zhang, Huanhuan Yang, He Huang, Tuo Jiang, Hongxuan Zhang, Wenhan Fan and Siyang Liao
Energies 2026, 19(14), 3434; https://doi.org/10.3390/en19143434 - 21 Jul 2026
Viewed by 204
Abstract
To address the low accuracy and poor reliability of short-term photovoltaic (PV) power forecasting under complex weather conditions, this study proposes a multi-strategy synergistic optimization framework for point-interval prediction. The methodology integrates similar day classification (SDC) via RDP-DTW-DBA-K-means, a hybrid BiTCN-MAOBiGRU-AM model with [...] Read more.
To address the low accuracy and poor reliability of short-term photovoltaic (PV) power forecasting under complex weather conditions, this study proposes a multi-strategy synergistic optimization framework for point-interval prediction. The methodology integrates similar day classification (SDC) via RDP-DTW-DBA-K-means, a hybrid BiTCN-MAOBiGRU-AM model with a mutation-aware mechanism, and Dream Optimization Algorithm (DOA) for global hyperparameter tuning of six key parameters. For interval prediction, an adaptive bandwidth kernel density estimation (ABKDE) dynamically adjusts bandwidth based on local error density and weather scenarios. Experiments using data from a Guangxi PV station demonstrate that the synergistic model reduces RMSE by 29.58% (cloudy) and 32.37% (overcast/rainy) versus the baseline, and cuts RMSE by 16.2–19.0% under abrupt weather events and 22.4–40.2% under non-ideal input data. At the 95% confidence level, ABKDE improves prediction interval coverage probability by 3.9–5.4 percentage points and reduces normalized average width by 20.8–23.6% compared to conventional KDE. The proposed framework significantly enhances prediction accuracy, robustness, and generalization, offering a reliable solution for PV power forecasting in highly variable meteorological scenarios. Full article
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25 pages, 2120 KB  
Article
Low-Carbon Economic Dispatch of Islanded Microgrids Considering Coordinated Demand Response and Energy Storage via Rotation Quantum Particle Swarm Optimization
by Guanting Zhu, Weimin Yu, Fei Long, Wei Jian, Huawei Zhu and Long Hong
Processes 2026, 14(14), 2353; https://doi.org/10.3390/pr14142353 - 21 Jul 2026
Viewed by 258
Abstract
To address the high dependence on diesel generation, renewable energy variability, and limited demand-side flexibility of remote islanded microgrids, this study develops a low-carbon economic dispatch framework for an islanded photovoltaic–wind–diesel–battery energy storage system with coordinated demand response. The proposed model minimizes the [...] Read more.
To address the high dependence on diesel generation, renewable energy variability, and limited demand-side flexibility of remote islanded microgrids, this study develops a low-carbon economic dispatch framework for an islanded photovoltaic–wind–diesel–battery energy storage system with coordinated demand response. The proposed model minimizes the operating cost, pollutant treatment cost, and load-loss penalty cost while satisfying generation-output, battery state-of-charge, charging and discharging, demand-response, and islanded power-balance constraints. To solve the resulting high-dimensional, nonlinear, and strongly constrained optimization problem, a rotation quantum particle swarm optimization algorithm (RQPSO) is proposed. In contrast to the conventional velocity–position update, RQPSO independently encodes each decision variable using a full-dimensional quantum phase representation and performs the search through a shortest-path rotation-guided phase-updating mechanism. Adaptive angular mutation, elite local refinement, and stagnation-aware restart are further incorporated to balance global exploration, local exploitation, and convergence stability. The algorithm is evaluated using nine 30-dimensional benchmark functions and representative 24 h forecasted load and renewable-generation profiles for Island data. Under the reliability-priority scheduling scheme, RQPSO achieves a total scheduling cost of 69,017.69 CNY, diesel fuel consumption of 6636.20 kg, and estimated CO2 emissions of 18,332.49 kg. Compared with conventional PSO, these three indicators are reduced by 9.34%, 12.25%, and 12.25%, respectively. RQPSO also reduces the total cost by 6.16–27.36% relative to six comparison algorithms. The results demonstrate that the coordination of demand response and battery storage can improve peak–valley regulation, reduce diesel dependence and emissions, and maintain feasible and economical operation under different renewable-generation conditions. Full article
(This article belongs to the Special Issue Advanced Technologies for Energy Storage)
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27 pages, 1282 KB  
Review
AI-Based Multi-Timescale Photovoltaic Power Scenario Generation and Forecasting: A Statistical Relational Perspective
by Yanan Cui, Xiao Lv, Chunyu Zhang, Xuanye Zhao and Xueqian Fu
Appl. Sci. 2026, 16(14), 7202; https://doi.org/10.3390/app16147202 - 18 Jul 2026
Viewed by 337
Abstract
The output of photovoltaic power generation exhibits significant randomness, volatility, and intermittency, and its uncertainty will have an impact on the planning assessment, dispatch decision-making, and real-time operation of the power system. To systematically understand the development status of modeling methods for the [...] Read more.
The output of photovoltaic power generation exhibits significant randomness, volatility, and intermittency, and its uncertainty will have an impact on the planning assessment, dispatch decision-making, and real-time operation of the power system. To systematically understand the development status of modeling methods for the uncertainty of photovoltaic power generation, this paper conducts a review around the generation of annual scenarios and multi-timescale power prediction of photovoltaic power, and analyzes the correlations between photovoltaic output, influencing factors, and system applications from the perspective of statistical relationships and artificial intelligence. For the annual scale, the focus is on the generation methods of meteorological-driven scenarios for long-term sequences, including probability statistical methods, deep generation methods, constraint relations and engineering application evaluation issues; for the day-ahead scale, the historical power, meteorological variables and numerical weather forecasts are used to explore feature extraction, probability prediction and robust modeling methods; for the intraday scale, the signal decomposition, deep learning, regional collaborative modeling and multi-source perception methods for short-term power fluctuations perception are summarized. On this basis, further analysis is conducted on subsequent research directions such as multi-timescale collaborative modeling, multi-source heterogeneous information fusion, controllable generative modeling, extreme scenario characterization, and engineering closed-loop verification. This paper can serve as a reference for scenario generation, power prediction, and power system operation analysis under the condition of a high proportion of photovoltaic power integration. Full article
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22 pages, 1519 KB  
Article
Enhanced Estimation of PV Power Production and Consumption with Multi-Step Prediction in Smart Energy Grids
by Phil Aupke, Seema Seema, Andreas Theocharis and Andreas Kassler
Energies 2026, 19(14), 3312; https://doi.org/10.3390/en19143312 - 14 Jul 2026
Viewed by 318
Abstract
Accurate forecasting of power production and consumption is essential for the efficient operation of smart energy grids, enabling stable energy exchange and grid reliability. However, the growing integration of photovoltaics (PVs) and electric vehicles introduces significant uncertainty. This paper evaluates multiple Machine Learning [...] Read more.
Accurate forecasting of power production and consumption is essential for the efficient operation of smart energy grids, enabling stable energy exchange and grid reliability. However, the growing integration of photovoltaics (PVs) and electric vehicles introduces significant uncertainty. This paper evaluates multiple Machine Learning (ML) models for single- and multi-step forecasts of PV generation and household consumption, incorporating uncertainty bounds to inform operator decisions. We use data from two Swedish sites and the CityLearn benchmark dataset to compare direct, recursive, and hybrid multi-step strategies. LightGBM with gradient-boosted quantile regression achieves the best single-step performance, with Mean Absolute Error (MAE) as low as 10.19 W in Halmstad and 16.12 W in Uppsala. For multi-step forecasts, the direct method outperforms others, reaching a 48 h consumption MAE of 71.08 W in Uppsala and 52.05 W in Halmstad, and achieving prediction interval coverage probabilities above 0.95. Moreover, personalized models trained on individual households outperform generalized ones, even with smaller datasets, highlighting the value of tailored approaches for improving forecast accuracy under uncertainty. Full article
(This article belongs to the Section F5: Artificial Intelligence and Smart Energy)
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21 pages, 503 KB  
Article
Polynomial Chaos-Based Stochastic Dispatch with Adaptive Setpoint Control for Renewable-Integrated Electric Arc Furnace Steelmaking
by Cong Xu, Yuanqi Kong and Yafei Zhao
Processes 2026, 14(14), 2278; https://doi.org/10.3390/pr14142278 - 13 Jul 2026
Viewed by 300
Abstract
Scrap-based electric arc furnace (EAF) steelmaking powered by on-site variable renewable energy is a key decarbonisation route, but the heteroscedastic, non-Gaussian nature of joint wind–photovoltaic forecast errors makes the EAF—a large, metallurgically constrained load—hard to coordinate with on-site generation under feeder limits. We [...] Read more.
Scrap-based electric arc furnace (EAF) steelmaking powered by on-site variable renewable energy is a key decarbonisation route, but the heteroscedastic, non-Gaussian nature of joint wind–photovoltaic forecast errors makes the EAF—a large, metallurgically constrained load—hard to coordinate with on-site generation under feeder limits. We develop a unified stochastic dispatch and adaptive setpoint-control framework. A chance-constrained dispatch over a zone-wise Beta uncertainty model is propagated through a degree-two polynomial chaos expansion (PCE) and reformulated as a second-order cone programme via the Cantelli inequality, with EAF-specific metallurgical constraints (electrode slew, short-circuit-ratio-tied flicker, stage-dependent melt-power floor, multi-stage tap-to-tap profile) embedded by the same procedure. The EAF setpoint gain is then extracted in closed form—without Jacobian inversion—as a ratio of first-order PCE coefficients, so it inherits the dispatch’s 95% feeder-security guarantee. Calibrated on 24 months of real wind/PV data for a Qingdao site (ERA5 reanalysis vs. archived ECMWF-IFS forecast), which confirms the heteroscedastic premise and a measured wind–PV error correlation of 0.015, the extracted gain scales across the Low–Mid–High zones (medians 6.07, 11.91, 17.22 p.u.) following the operating regime rather than the disturbance magnitude. The scheme bounds worst-case tracking below 1.18 MW per zone (vs. up to 3.34 MW for no droop), satisfies the feeder limit in 100% of realisations, matches model-predictive control without online optimisation, and lowers within-EAF specific CO2 emissions by 4.4% versus no droop. An out-of-sample test on real records confirms a decisive advantage in the data-rich zones and, candidly, a shortfall in the data-limited high-wind zone. Full article
(This article belongs to the Section Energy Systems)
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21 pages, 4604 KB  
Article
Photovoltaic Power Generation Forecasting Based on CNN-LSTM-PINNs Hybrid Model
by Jiabo Gou, Xiaoqiao Liao, Sheng Li, Jun Xiang, Xiaojun Niu, Lei Chen and Jiaming Fang
Energies 2026, 19(14), 3277; https://doi.org/10.3390/en19143277 - 12 Jul 2026
Viewed by 336
Abstract
Accurate photovoltaic (PV) power forecasting is essential for reliable microgrid operation, efficient energy dispatch, and improved utilization of renewable energy resources. Existing forecasting methods often have limited capacity to represent the nonlinear relationships between meteorological conditions and PV power output. They also tend [...] Read more.
Accurate photovoltaic (PV) power forecasting is essential for reliable microgrid operation, efficient energy dispatch, and improved utilization of renewable energy resources. Existing forecasting methods often have limited capacity to represent the nonlinear relationships between meteorological conditions and PV power output. They also tend to underrepresent the temporal dynamics of PV generation and the physical principles governing photovoltaic energy conversion. To address these limitations, this study proposes a hybrid forecasting framework, CNN-LSTM-PINNs, that integrates Convolutional Neural Networks (CNNs), Long Short-Term Memory (LSTM) networks, and Physics-Informed Neural Networks (PINNs). In the proposed framework, CNNs extract spatial dependencies among multivariate meteorological variables, LSTM networks capture temporal dependencies in PV generation, and PINNs incorporate soft physical constraints derived from photovoltaic energy conversion mechanisms. The proposed model is evaluated using publicly available datasets from three large-scale PV power stations in China, with observations recorded at 15-min intervals. The empirical results show that CNN-LSTM-PINNs outperform the conventional CNN-LSTM benchmark across the primary station-level datasets. Relative to the benchmark model, the proposed framework reduces Mean Absolute Error (MAE) and Root Mean Square Error (RMSE) and improves the coefficient of determination (R2). These results indicate that embedding physical constraints into data-driven forecasting models can improve PV power prediction accuracy. The model also shows stronger robustness and generalization performance under heterogeneous operating conditions, although its effectiveness is contingent on relatively stable data distributions. Feature-importance analysis further indicates that global horizontal irradiance (GHI) and irradiance-derived variables are the most informative predictors of PV power output. Overall, this study provides a physics-informed hybrid modeling approach for high-resolution PV power forecasting in microgrid applications. Full article
(This article belongs to the Section A2: Solar Energy and Photovoltaic Systems)
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8 pages, 2374 KB  
Proceeding Paper
Optimizing Offshore Green Hydrogen Systems via Modular Simulation
by Alvaro García-Ruiz, Pablo Fernández-Arias, Antonio del Bosque and Diego Vergara
Eng. Proc. 2026, 138(1), 14; https://doi.org/10.3390/engproc2026138014 - 9 Jul 2026
Viewed by 244
Abstract
This study presents a mathematics-based simulation model for designing, analyzing, and optimizing offshore green hydrogen stations powered by solar photovoltaic systems, applicable to any location worldwide. Developed in Python, the model integrates environmental, physical, and technological parameters to simulate and forecast hydrogen production [...] Read more.
This study presents a mathematics-based simulation model for designing, analyzing, and optimizing offshore green hydrogen stations powered by solar photovoltaic systems, applicable to any location worldwide. Developed in Python, the model integrates environmental, physical, and technological parameters to simulate and forecast hydrogen production via water electrolysis using alkaline (ALK) or proton exchange membrane (PEM) electrolyzers, combined with an adiabatic compressor that enhances energy storage and facilitates integration into smart grids. The five-phase modular methodology includes timeframe definition; estimation of solar electricity generation based on solar trajectory and the geographic orientation of photovoltaic panels; performance modeling of electrolyzers and compressors; and the integration of all components into a cohesive system. A case study demonstrates the model’s real-world applicability. Results from the Gulf of Cadiz case study show a substantial increase in solar energy capture in offshore environments due to reduced atmospheric pollution and sea-surface reflection. The reflected component is modeled as a function of sea-surface flatness. This reflection increases the daily average solar irradiance received by the photovoltaic panels by 8.44%. Under the modeled 2026 conditions and equivalent irradiance levels, the ALK electrolyzer produces 3.347% more hydrogen than the PEM electrolyzer. In addition, a 20% increase in electrolyzer efficiency raises hydrogen production by 32.35%, whereas the same increase in compressor efficiency improves production by 0.758%. These impacts directly correlate with proportional reductions in the photovoltaic panel surface area, driven by increased electricity generation capacity, which translates into smaller infrastructure needs. The model enables quantitative evaluation of trade-offs among solar irradiance, component performance, and system design. It supports cost reduction through optimized sizing and improved integration. This approach contributes to lowering the Levelized Cost of Electricity (LCOE) and promoting the viability of marine-based green hydrogen deployment. Full article
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37 pages, 1479 KB  
Article
A Nonlinear L-SHADE Variant for Photovoltaic Parameter Estimation and Solar Power Generation Forecasting
by Qiong Fu, Haotian Li, Yifei Yang and Haichuan Yang
Mathematics 2026, 14(14), 2462; https://doi.org/10.3390/math14142462 - 8 Jul 2026
Cited by 1 | Viewed by 257
Abstract
Solar energy has attracted increasing attention due to its clean, renewable, and cost-effective characteristics. Among solar-related optimization tasks, photovoltaic (PV) model parameter estimation and solar power generation forecasting are two important problems for improving PV system modeling accuracy, performance evaluation, and operational management. [...] Read more.
Solar energy has attracted increasing attention due to its clean, renewable, and cost-effective characteristics. Among solar-related optimization tasks, photovoltaic (PV) model parameter estimation and solar power generation forecasting are two important problems for improving PV system modeling accuracy, performance evaluation, and operational management. However, both tasks involve nonlinear characteristics, coupled variables, and uncertainty caused by environmental variations, which make them challenging for conventional optimization methods. To address these issues, this paper proposes a nonlinear L-SHADE variant, termed NL-SHADE, in which a sigmoid-based nonlinear population reduction strategy is introduced to replace the linear population reduction mechanism in L-SHADE. The proposed design aims to provide a more flexible balance between exploration and exploitation while preserving the simplicity of the original framework. The performance of NL-SHADE is evaluated on six benchmark PV parameter estimation problems and 14 solar power generation forecasting datasets. For PV parameter estimation, NL-SHADE achieves highly competitive results, and the summarized Wilcoxon rank-sum results over the six benchmark problems confirm its overall advantages over most compared algorithms while maintaining strong competitiveness against DPDE and L-SHADE. For solar power generation forecasting, NL-SHADE ranks first among all compared methods according to the Friedman ranking analysis. Moreover, in 42 pairwise Wilcoxon comparisons against L-SHADE, NL-SHADE achieves 10 wins, 30 ties, and only 2 losses. These results indicate that the proposed nonlinear population reduction mechanism improves the search behavior of L-SHADE and enhances its robustness across different solar energy optimization tasks. Overall, NL-SHADE provides an effective and general optimization framework for both PV model parameter estimation and solar power generation forecasting, showing promising practical value for PV system analysis, forecasting, and operation-related decision support. Full article
(This article belongs to the Special Issue Mathematical Methods Applied in Power Systems, 2nd Edition)
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