Optimizing Renewable Energy Distribution Networks with AI Techniques: The A-IsolE Project
Abstract
1. Introduction
2. AI Techniques in Power Systems: Literature Overview
- Machine learning (ML) techniques, which represent a group of techniques widely used in recent studies. Considerable progress has been made in the field of ML-based computing with technologies such as GPT [19] and BERT [20], which represent large AI models applied to natural language processing, image recognition, and data analysis.
- Meta-heuristic methods, a group of algorithms for solving optimization problems.
- Rule-based systems, which represent AI techniques that allow direct integration of human knowledge. By developing a set of “if–then” rules, the system can decide based on the rules provided by an expert, and therefore, these systems are often called expert systems. Fuzzy logic is frequently adopted in rule-based systems [21].
2.1. Machine Learning Methods
- Supervised-learning ML, where a dataset consisting of input and output/target data is used, as in neural networks, for training and validation [26]. Training is performed with an optimizer that minimizes an error function based on a distance measure between the actual output value and the reference (target) value of the data. Supervised-learning methods include Artificial Neural Networks (ANNs), support vector regressors (SVRs), Support Vector Machine (SVM), ensemble methods, and deep neural networks (DNNs). They are widely used for load and PV forecasting, state estimation with pseudo-measurements, and anomaly detection.
- Unsupervised-learning ML, where target values are not included in the dataset, leads to a training procedure in which the learning algorithm must independently identify the target [27]. Unsupervised-learning methods, such as k-means clustering and Principal Component Analysis (PCA) support customer segmentation, topology identification, and detection of abnormal behavior without labeled data.
- Reinforcement learning (RL) ML is an agent-based method for learning a specific strategy [28]. This ML method provides agent-based optimization for problems including Volt/Var control, storage dispatch and grid reconfiguration.
2.2. Meta-Heuristic Optimization Methods
2.3. AI Applications in Power Systems
2.3.1. Load Forecasting and Load Modeling
2.3.2. Generation Forecasting
2.3.3. Dispatch Algorithms for Distributed Generation
2.3.4. Voltage Regulation
2.3.5. Fault Detection and Diagnostics
3. DMS Architecture in the A-ISolE Project
- (i)
- The SCADA/DMS layer, which acquires measurements and executes control actions;
- (ii)
- The centralized AI layer, which processes network data and handles optimal set-points;
- (iii)
- The edge layer, which hosts local controllers and IoT devices with AI capabilities.
- Short-term load forecasting, which combines building energy models and statistical time series forecasting techniques. The proposed tool combines a Basic Ensemble Method (BEM) of a multilayer perceptron with an ARIMAX residual model, similarly to [66]. ARIMAX is a standard method for time series, while the BEM based on MLP neural networks is defined as the average of the outputs of several ANNs.The BEM output is defined bywhere n is the total number of ANNs and is the single-network outputs defined as a function of time index t. In the proposed method, the ANN architecture used for each network within the ensemble is the MLP.ARIMAX models characterize stationary stochastic processes. As a result, ARIMAX methods are commonly applied to short-term load forecasting. In this study, an ARIMAX framework is employed to estimate the BEM residual based on the following relationship:where
- √
- is the estimation of the BEM residual ε(t) at time t.
- √
- indicates the dth order difference of .
- √
- X(t) is the Residual Features at time t, which are:
- ○
- Boolean indicating if value lies in Holiday;
- ○
- Cyclical Features of Hour.
- √
- ϕ are the autoregressive coefficients.
- √
- θ are the moving average coefficients.
- √
- r(t) is the residual process at time t; it is assumed to be Gaussian with null mean.
- √
- β are the exogenous input coefficients.
- PV generation forecasting is performed using a hybrid approach that selects between clear-sky models and ensembles of ANNs depending on meteorological conditions. The model adopted is defined by a decision tree that consists of a sequence of If/Else rules applied to the input variables that ultimately determine the model output. To generate a prediction, one traverses the tree from the root node down to a terminal (leaf) node, which contains the predicted value. In this framework, the If/Else rules are referred to as splits, while the input variables are commonly called attributes. Various methods exist for constructing and implementing decision trees. In this study, the Classification and Regression Trees (CART) approach has been adopted. Starting from a training dataset, the algorithm first grows the tree to its maximum size. It then performs a pruning step, removing splits that contribute little to overall predictive performance and may lead to overfitting. Splits are determined by evaluating all possible partitioning values for each attribute; each candidate split divides the data at a node into two subsets. The CART procedure generates a sequence of progressively pruned nested trees that serve as potential final models. The optimal tree is selected by evaluating its performance on an independent validation dataset. Under clear-sky conditions, the PV system operates without cloud-induced shading. Consequently, the uncertainty in the PV power output profile is minimal, allowing the use of a deterministic model to represent this weather scenario. The predicted PV power output, , is expressed as follows, where denotes time dependency:where represents the global irradiance incident on the plane of the array , is the total rated peak power of the PV array , denotes the relative efficiency of the panels [p.u.], is the inverter efficiency [p.u.], accounts for performance degradation [p.u.], and corresponds to the irradiance under standard test conditions .The original CSM assumes clear-sky conditions; to improve accuracy under cloud cover, it is extended using a Stepwise Linear Regression (SLR) model trained on clear or nearly clear days. The regressors include CSM output and the cloud cover (CC) index (0–100 scale), with variables expanded up to the fifth power to capture nonlinear effects. Regressors are iteratively added or removed based on p-value thresholds (0.05 for entry, 0.1 for removal), providing a practical compromise between optimality and computational cost. The adopted procedure can be summarized as follows:
- Begin with a model containing only the intercept term.
- Add the candidate regressor with the smallest p-value, provided it is below a predefined entry threshold. Repeat this step until no additional regressors satisfy the inclusion criteria.
- Remove the regressor with the largest p-value if it exceeds a predefined removal threshold. If no such regressor exists, terminate the procedure; otherwise, return to step 2.
- Fault Detection and Localization: a data-driven fault location module based on gradient-boosted trees identifies the most probable faulted segment after a protection operation. A fault analysis technique, developed according to [67,68], is proposed to use only the measurements already available in the distribution system. The proposed method exploits the existing infrastructure to extract meaningful information from steady-state fault data. By applying advanced data-processing techniques and ML algorithms, the method aims to identify distinctive features and patterns associated with different fault types and fault locations.The objective is to develop ML models capable of locating faults regardless of operational topology. In a distribution system with N tie lines, there are combinations of switches, rendering exhaustive search computationally infeasible even with a modest number of tie lines. Hence, we use the Sobol algorithm to sample the combination of switches, faulted buses and fault types to create a training dataset: with respect to random sampling, the resulting combination is more uniform in combination space than simple random sampling, hence being more representative.The ith component of a d-dimensional Sobol sequence is defined aswhere are the binary representations of , while are direction numbers for each variable . The nth Sobol point is defined as
- Optimal network reconfiguration is a complex task in distribution system management, due to the high number of possible actions that can be performed. Deep Q-Networks (DQNs) can be effectively combined in multi-agent systems to solve such problems and achieve cooperative behavior. Several approaches have been proposed to combine actions from different DQN agents. One method uses a network of DQN agents, where each agent is responsible for a specific task or domain. For example, in a flexible job-shop problem, one agent selects operation sequences while another allocates jobs to machines [69]. This approach allows specialization and reduces the search space for each agent, which can improve performance compared with single-agent systems. We propose a cooperative multi-agent reinforcement learning (MARL) solution to the feeder reconfiguration problem, by adopting the Centralized Training with Decentralized Execution (CTDE) framework, a widely used paradigm in MARL that reduces partial observability and communication constraints. It allows agents to use global information during training while acting independently at execution. CTDE is popular in MARL because it balances full use of global observations during training with feasible decentralized execution for inference. An important concept of CTDE framework is that the mixing network should satisfy the requirement that the optimal joint action induced from the optimal centralized action–value function is equivalent to the collection of individual optimal actions of agents. In practice, a multi-agent RL-based optimal reconfiguration module searches for switching configurations that minimize losses and mitigate voltage violations. This multi-agent structure operates by distributing control responsibilities among several agents. Each agent is assigned to a specific feeder and controls a subset of switches, allowing the overall system to reflect the physical and operational segmentation of the distribution network.The state of the system at time is represented by a vector that captures both electrical operating conditions and network topology:where denotes the voltage magnitude at bus , and represents the status of the -th switch. In this way, the learning agents have access to a comprehensive description of the network configuration and its electrical state. The action at time consists of the switching decisions applied to the controllable devices:In the multi-agent setting, the global action is decomposed into a joint action:where each corresponds to the switching decisions of agent . This decentralized formulation reduces the dimensionality of each agent’s decision space and facilitates coordinated learning across feeders.A central aspect of the framework is the design of the reward function, which must guide the agents toward operationally desirable configurations while ensuring system security. The problem is inherently multi-objective. Three main goals are considered: minimizing active power losses, limiting switching operations, and preserving service reliability. Active power losses are modeled aswhere and denote the resistances of lines and transformers, and , are the corresponding currents. Minimizing directly improves network efficiency and reduces operational costs. However, feeder reconfiguration should not rely on excessive switching, as each operation contributes to equipment wear and may introduce transient disturbances. To account for this, a switching penalty is introduced.Operational constraints are explicitly enforced to guarantee secure network operation. Voltage magnitudes must remain within ±5% of nominal values.Finally, radiality constraints are imposed to preserve the tree structure of distribution networks. Representing the network as a graph , each feeder subgraph must be connected and acyclic, satisfying:The optimal solution provided by the approach is compared between two configurations: one where all tie switches are open and another where all tie switches are closed. The configuration with all switches open results in the highest load peaks, indicating potential overloads on several lines. In contrast, the optimal solution provides a more balanced distribution and lower loads on most lines. The configuration with all switches closed represents an intermediate case, with moderate loads. Overall, the optimal solution reduces network stress by distributing power flows more evenly.
- Load modeling: The algorithm examined in this section will be employed to generate the pseudo-measurements required by the state estimation algorithm, ensuring the observability of the DEA distribution network. For training the proposed Artificial Intelligence technique (BEM + ARIMAX + k-means), all MV/LV substations monitored by the DEA network were used, except for two substations, reserved exclusively for performance evaluation of the implemented algorithm.
- Optimization of ECs: A specific use case has been implemented and experimentally validated on a pilot site hosted in the DEA distribution network. In fact, according to the energy transition, ECs are emerging as innovative solutions to address the challenges related to sustainability and energy efficiency.
3.1. A-ISolE Site Pilot
- A 6 kW PV system (12 modules);
- A 20 kWh energy storage system (lithium batteries);
- A 6 kW hybrid inverter for storage management, capable of managing the islanding operation in the “off-grid” mode;
- Inverter heat pumps (controllable loads), with a total load of 3 kW;
- Lighting systems (controllable load) (2.5 kW).
3.2. Energy Community Use Case for the Site Pilot
- Power balance:where and are the output and input of the storage system, and and are the PV production and the uncontrollable load of the Energy Community respectively.
- Minimum and maximum power withdrawal from the main grid:where and are the input and output limits, and is a binary variable indicating whether the Energy Community is drawing or supplying power to the grid.
- Maximum charge ( and discharge ( power of the storage system:where is a binary variable indicating whether the battery charging or discharging.
- Constraints related to the dynamics of the storage system’s state of charge:where and are input and output efficiencies, is the nominal energy capacity, and is a known value.
- Minimum and maximum SoC constraints:with and being the storage.
- The final state of charge must be approximately equal to the initial one, within a tolerance:where is the last period of optimization, and the initial state of charge.
- Limit on the number of complete charge and discharge cycles:where is the maximum number of cycles allowed.
- Shared energy (self-consumption) constraintswhere is the PV profile, the storage output, the HVAC load, other types of uncontrollable load, and the input of the storage.
4. Results and Discussion
4.1. Short-Term Load Forecasting
4.2. PV Generation Forecasting
4.3. Fault Detection and Localization
4.4. Load Modeling
4.5. Energy Community Use Case
- Buying cost of energy: 1.0 €/kWh for all time intervals;
- Sell cost of energy: 0.8 €/kWh for all time intervals;
- REC incentive: 0.10 €/kWh for all time intervals;
- A 6 kW import limit from the grid;
- A 9 kW limit export from the grid;
- Maximum charge and discharge limit of the storage: 2 kW;
- Efficiency of charge and discharge of the storage: 0.95;
- Nominal capacity of the battery: 2 kWh;
- State-of-charge (SoC) limits: 10% and 90% of nominal capacity;
- Tolerance of 10% on final SoC difference;
- Maximum number of charging/discharge cycles: 10.
- Before the middle part of the day, the only way to maximize the self-consumption is to either discharge the battery or, with a monetary cost, to import energy;
- In the middle part of the day, some self-consumption is naturally possible—the excess of produced PV energy can be either sold or used to recharge the battery;
- In the latter part of the day, the situation is the same as the previous part, but with the battery possibly recharged.
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Substation | MAE [kW] | MAPE [%] | DPMAPE [%] |
|---|---|---|---|
| #1 | 3.6620 | 16.0098 | 7.8946 |
| #5 | 8.8141 | 13.9610 | 16.9990 |
| #6 | 27.0441 | 9.3273 | 19.6576 |
| #9 | 6.2283 | 17.3142 | 8.2247 |
| #12 | 5.7889 | 15.9626 | 7.0728 |
| #14 | 6.1387 | 15.7518 | 24.3814 |
| Pecollo | MAE [kW] | RMSE |
|---|---|---|
| Hybrid | 37.1838 | 69.5449 |
| Hybrid 15 by 15 | 32.7422 | 60.4784 |
| CSM | 40.7436 | 72.3000 |
| CCSM | 24.8487 | 46.5064 |
| BEM | 43.9492 | 87.3959 |
| Task | Model | Accuracy | F1-Score |
|---|---|---|---|
| Bus Fault Detection | ANN Ensemble | 93.98% | 87.78% |
| XGBoost | 90.86% | 91.01% | |
| Bus Fault Type Classification | ANN Ensemble | 99.73% | 99.78% |
| XGBoost | 99.73% | 99.79% |
| Substation | Working Days | Pre-Holidays | Holidays | |||
|---|---|---|---|---|---|---|
| MAPE | MPE | MAPE | MPE | MAPE | MPE | |
| 222 | 5.0% | 13.7% | 5.5% | 13.3% | 5.6% | 12.7% |
| 217 | 3.8% | 12.1% | 3.7% | 12.1% | 4.3% | 14.6% |
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© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Soma, G.G.; Pasquarelli, M.G.; Pentolini, M.; Dore, C.; Martini, F.; Bagnasco, A.; Vinci, A.; Valfrè, G.; Bessone, E.; Mosaico, G.; et al. Optimizing Renewable Energy Distribution Networks with AI Techniques: The A-IsolE Project. Energies 2026, 19, 1718. https://doi.org/10.3390/en19071718
Soma GG, Pasquarelli MG, Pentolini M, Dore C, Martini F, Bagnasco A, Vinci A, Valfrè G, Bessone E, Mosaico G, et al. Optimizing Renewable Energy Distribution Networks with AI Techniques: The A-IsolE Project. Energies. 2026; 19(7):1718. https://doi.org/10.3390/en19071718
Chicago/Turabian StyleSoma, Gian Giuseppe, Maria Giulia Pasquarelli, Massimo Pentolini, Cristina Dore, Francesco Martini, Andrea Bagnasco, Andrea Vinci, Giulio Valfrè, Enrico Bessone, Gabriele Mosaico, and et al. 2026. "Optimizing Renewable Energy Distribution Networks with AI Techniques: The A-IsolE Project" Energies 19, no. 7: 1718. https://doi.org/10.3390/en19071718
APA StyleSoma, G. G., Pasquarelli, M. G., Pentolini, M., Dore, C., Martini, F., Bagnasco, A., Vinci, A., Valfrè, G., Bessone, E., Mosaico, G., & Saviozzi, M. (2026). Optimizing Renewable Energy Distribution Networks with AI Techniques: The A-IsolE Project. Energies, 19(7), 1718. https://doi.org/10.3390/en19071718

