1. Introduction
With the transformation of the global energy structure and the intensification of climate change, the development and utilization of renewable energy have become a critical focus of global energy policies. Since the implementation of the 13th Five-Year Plan, China has prioritized green energy and sustainable development, enacting a series of policies to promote the growth of photovoltaic (PV) renewable energy. As PV power generation increasingly shifts toward small-scale distributed systems, users such as highway service areas, toll stations, and tunnels—located far from primary load centers—have begun establishing PV microgrids to reduce reliance on centralized power grids.
However, the inherent intermittency (stochastic generation outages) and dynamic instability (frequency excursions > 0.5 Hz) of PV systems challenge grid stability, especially under composite weather stressors and seasonal irradiation variations. While existing studies have made progress in hybrid microgrid control strategies [
1,
2,
3,
4,
5,
6,
7,
8], recent Industrial Internet of Things (IIoT) implementations reveal that 78% of the proposed architecture remains conceptual, with limited experimental validation under real-world operating conditions [
9]—especially for spatially distributed PV deployments like highway service areas where equipment heterogeneity and communication latency are prevalent. Similarly, though advanced optimization methods like genetic algorithm and model predictive control (GA-MPC) hybrids demonstrate cost-effectiveness in campus-scale microgrids (achieving
$0.19/kWh energy costs [
10]), their centralized control paradigms inherently fail to address the topological constraints of linearly distributed highway PV systems, where panels are fragmented across parking lots, rooftops, and sloping terrains with varying shading patterns.
The effective management and optimization of PV output remain critical challenges [
1,
2,
3,
4]. While existing studies have developed various control strategies for hybrid microgrids—including grid-connected/islanded operation modes [
1], PV-battery energy management [
5,
6], and parallel inverter control [
7]—these approaches typically assume uniform PV array behavior. In reality, spatially distributed installations experience 12–18% efficiency losses due to mismatched conditions [
9]. Although coordinated control strategies [
8] and auxiliary voltage regulation methods [
11] have been proposed, they face computational limitations when applied to the large-scale dispersed PV systems (>50 blocks) common in highway infrastructures [
10,
12,
13]. Emerging digital twin technologies show potential [
14] but currently lack the dynamic reconfiguration capabilities for clustered PV arrays.
Traditional optimization methods exhibit several limitations:
MPPT techniques suffer up to 22% efficiency loss in fragmented layouts due to delayed shadow response [
14];
Configuration optimization often ignores microclimate variations across service areas [
15,
16];
Environmental adaptation models [
17,
18,
19] assume homogeneous conditions, unlike the GA-MPC approach [
10], which reduces losses by 31% but requires uniform irradiation data;
Dynamic adjustment systems [
20,
21,
22] lack the distributed MPPT capabilities for PV clusters [
9];
Storage coordination methods [
23] cannot simultaneously optimize multiple distant units [
10].
Three fundamental limitations emerge from prior work:
Spatial–Temporal Decoupling: Current models treat PV blocks as static entities [
24] or assume uniform environmental impacts [
10], ignoring the dynamic coupling effects where shadow migration across service area subzones creates time-varying power mismatches (e.g., morning roof shading vs. afternoon canopy shading).
Scalability–Accuracy Tradeoff: GA-based sizing [
10] and IIoT monitoring [
9] either sacrifice resolution for scalability (coarse-grained cluster control) or become computationally prohibitive (per-panel optimization).
Digital–Physical Disconnect: DT platforms [
14] prioritize virtual prototyping over real-time reconfiguration, lacking embedded algorithms to translate weather forecasts into optimal block topology adjustments for highway PV arrays.
Given the distributed placement of PV panels in highway service areas (e.g., parking lots, rooftops), this study proposes a dynamic block optimization model that employs an intelligent adjustment mechanism to optimize PV block configurations under varying environmental and grid demands. The model integrates advanced optimization algorithms with operational data, utilizing long short-term memory (LSTM) networks for short-term PV output prediction to achieve optimal power matching and cost control. Furthermore, it dynamically adjusts the PV generation in response to load fluctuations, enhancing system utilization efficiency and economic performance. Against the backdrop of China’s vigorous promotion of green energy transition and carbon neutrality goals, this research not only holds practical significance but also provides theoretical and methodological support for deploying efficient PV microgrids in complex terrains, aligning with global strategies for sustainable development and clean energy utilization.
2. Planning Strategy for Highway Photovoltaic Microgrids
2.1. Photovoltaic Microgrid
The load characteristics of highway service areas exhibit notable time-varying and uncertain behavior. Influenced by traffic flow, weather conditions, and traffic incidents, load demand fluctuates significantly across different time periods, particularly during peak morning/evening hours and nighttime troughs. Additionally, sudden changes in traffic volume and vehicle parking demands further amplify load uncertainty. Consequently, service area systems require high flexibility and real-time responsiveness to ensure stable and reliable operation.
A photovoltaic microgrid is a compact integrated power system comprising PV generation, intelligent control units, electrical loads, and energy storage devices. A typical configuration is illustrated in
Figure 1. Through grid-connected PV systems, it provides an effective power supply for highway service areas distant from the main grid. Operating under a “self-consumption with surplus electricity fed back to the grid” mode, it not only meets local power demands but also enables bidirectional interaction with the traditional grid, facilitating energy sharing and optimized utilization [
22]. As illustrated in
Figure 2, the photovoltaic (PV) installation areas within the expressway service area microgrid are geographically dispersed and exhibit distinct zoning characteristics, including but not limited to the following: office and dormitory building rooftops, highway-side slopes, and parking lot canopies.
Integrating PV generation units into microgrids is a common approach for renewable energy utilization. Traditional microgrids typically employ centralized PV panel configurations to uniformly distribute power within designated areas [
23,
24]. However, in high-penetration distributed PV microgrid environments, system uncertainties—such as voltage violations and imbalances—may significantly impact node voltages and power flow distribution [
25]. To address these issues, conventional strategies include deploying energy storage systems and regulating reactive power output. Nevertheless, energy storage deployment faces constraints such as energy density limitations, cycle life degradation, safety and environmental concerns, and resource dependencies, resulting in relatively high costs [
26].
As shown in
Figure 3, the photovoltaic (PV) systems installed along mountainous expressway service areas face significant micro-terrain variations, including different degrees of roadside slopes and rooftop installations. These variations cause fluctuations in solar irradiance and power generation efficiency among different PV blocks, ultimately affecting the overall PV utilization efficiency and system stability. To address this challenge, this study proposes a dynamic block optimization model for PV microgrids that considers regional layout constraints.
2.2. Photovoltaic Matrix Block Partitioning
As shown in
Figure 4, photovoltaic matrix block partitioning involves distributing PV panels across distinct zones (e.g., office buildings ‘block #1’, dormitories ‘block #2’, parking lots ‘block #3’ etc.) based on installation environments to optimize energy utilization and management efficiency. In service area microgrids, the spatial distribution of PV panels is particularly critical. Each block is configured according to local irradiance conditions, available area, and load demands, enabling flexible layouts. Through block partitioning, PV systems achieve independent and centralized dispatchability, improving energy utilization rates and power supply reliability. This approach replaces traditional centralized energy distribution, better aligning with the self-sufficient microgrid requirements of off-grid loads.
2.3. Dynamic Block Optimization Model for Construction Phase
2.3.1. Objective Function
The power generation capacity of different microgrids is constrained by geographical, climatic, and solar irradiance conditions. To simultaneously reduce node voltage deviations and network losses in distributed PV microgrids, enhance the system’s economic efficiency, and minimize the gap between the PV power output and the grid’s absorption capacity, this scheme requires predefined block partitioning and power allocation for PV panels during the grid construction phase. Notably, ref. [
27] proved that optimal microgrid partitioning can reduce voltage deviations by 12–18% compared with traditional radial networks.
Based on these operational requirements, we propose the following original optimization framework extending the work in [
27]: Assuming that the objective is to minimize the total discrepancy between PV generation and load demand while maximizing the potential output of each block, the problem can be formulated as follows:
where
is the PV power generation at time
t,
is the load demand at time
t,
is the weighting factor balancing cost and power matching, and
denotes the total cost of PV blocks.
2.3.2. Block-Based Layout Optimization Model for Construction Phase
To determine the optimal number of blocks and load allocation for each block during the construction phase, a constrained optimization model is defined. The objective is to minimize the discrepancy between the total power generation and total load demand while satisfying the capacity, cost, and block configuration requirements. The optimization model can be formulated as follows:
where
is a represents the maximum number of blocks,
is the PV generation of the
i-th block,
is the load demand of the
i-th block, and
is the construction cost of the
i-th block.
The total PV capacity constraint is as follows:
where
is the total allowable PV capacity of the system.
The PV block capacity constraints can be formulated as:
where
is the maximum installable capacity of the
i-th block (determined by the on-site available area) and
is the minimum capacity requirement per block.
The output constraint (actual output of each block shall not exceed its maximum installable capacity) is as shown:
The cost constraint (the total construction cost must remain within budget) can be written as follows:
The cost function (the cost of each block is determined by its capacity via an exponential relationship) is as follows:
where a and b are the parameters of the exponential function defining the cost-capacity relationship. Note: preliminary estimates indicate that the capital cost of PV modules decreases by approximately 20% for every doubling of capacity, reflecting economies of scale.
3. Energy Supply Strategy for Highway Photovoltaic Microgrids
3.1. Dynamic Block Optimization Model for Operation and Maintenance Phase
3.1.1. Short-Term Load and PV Generation Prediction Model Based on LSTM
To achieve high-precision load forecasting and optimize the dispatch strategy for off-grid PV microgrids, this study employs a long short-term memory (LSTM) network for load demand prediction. LSTM is an improved variant of recurrent neural networks (RNNs) that utilizes a unique gating mechanism to effectively capture both long-term and short-term dependencies in time-series data, addressing the vanishing and exploding gradient problems inherent in traditional RNNs. The LSTM model is particularly well-suited for handling complex load demand data and has demonstrated excellent performance in load forecasting tasks.
The structure of an LSTM unit consists of three core gating mechanisms: the Forget Gate, the Input Gate, and the Output Gate. These gates determine which information is retained, updated, or output. Following the established framework in [
28], the specific computational processes are described as follows:
Forget Gate: determines how much of the previous memory state
is retained. The calculation formula is:
where
is the output of the Forget Gate,
is the weight matrix,
is the bias term, and
is the Sigmoid activation function.
Input Gate: controls the degree to which the current input
updates the memory state, determined jointly by the Input Gate
and the candidate memory
:
where
is the candidate memory state,
and
are the corresponding weight matrices, and
and
are the bias terms.
Memory Update: combines the results of the Forget Gate and Input Gate to update the current memory state
:
Output Gate: determines the output value of the current memory state
and updates the hidden state
:
where
is the control signal of the Output Gate,
is the weight matrix, and
is the bias term.
Short-Term Load Forecasting: Short-term load forecasting aims to predict future electricity demand over a short time horizon, providing a basis for real-time dispatch decisions. The LSTM model excels at capturing temporal dependencies in load demand data, enabling it to model both short-term fluctuations and long-term trends. This study develops an original forecasting framework based on the following author-derived formulations.
Input Data:
where
represents the load demand at the
i-th time step. Output: the predicted load for the next time step
.
Loss Function: The mean squared error (MSE) is used as the loss function, defined as follows:
Short-Term PV Generation Forecasting Model: The input data for the PV generation forecasting model includes historical irradiance, weather features (e.g., temperature, humidity, cloud cover), and PV generation data sequences, expressed as follows:
where
is the irradiance at the
i-th time step,
is the temperature at the
i-th time step, and
is the PV generation at the -th time step. Output: the predicted PV generation for the next time step
.
Loss Function: Similarly, the mean squared error (MSE) is used as the loss function, defined as follows:
3.1.2. Dynamic Block Adjustment Optimization for Operation and Maintenance
During the operation and maintenance phase, the operating states of each block are dynamically adjusted based on real-time load forecasts and changes in PV generation (similar to the model’s predictive framework in [
29]). At a given time
t, the relationship between the total power generation
and total load demand
can be expressed as follows:
The block operating states are adjusted according to the following logic:
If , some blocks may be shut down (reducing generation or switching to energy storage mode) to maintain balance.
If , additional energy storage systems or inactive blocks may be activated to provide supplementary power.
This dynamic adjustment mechanism can be formulated as:
where
is a control variable indicating whether the
i-th block is active (
or inactive
).
3.2. Algorithm Flow of the Dynamic Block Optimization Model
The proposed PV microgrid optimization algorithm in this study consists of two phases: the construction phase and the operation and maintenance phase. Each phase has distinct input parameters and optimization objectives, as illustrated in
Figure 5. The model inputs and outputs are summarized in
Table 1.
The algorithm initializes by inputting the basic parameters of the PV system, including the PV generation capacity, load demand, maximum number of blocks, minimum capacity per block, cost limit, and total PV capacity. The objective function is defined to minimize the discrepancy between the PV generation curve and the load demand curve.
Construction Phase: During the construction phase, the algorithm evaluates each potential block configuration based on input parameters such as generation capacity, load conditions, and cost, ensuring that the total cost does not exceed the predefined limit. An optimization algorithm (e.g., linear programming, genetic algorithm, or particle swarm optimization) is then employed to solve the objective function, determining the optimal block configuration and load allocation. The best block configuration is output as the final solution.
Operation and Maintenance Phase: In the operation and maintenance phase, the algorithm periodically acquires real-time data, including short-term load forecasts and PV generation conditions, to dynamically adjust the operating states of each block and maintain the power balance. If the total generation exceeds the load demand, the algorithm selectively deactivates certain blocks. Conversely, if generation is insufficient, backup blocks are activated, or other compensatory measures are implemented.
4. Case Study and Analysis
4.1. Microgrid in a Service Area in Yunnan
This study analyzes a real-world case of a highway service area located in the southwestern region of Yunnan Province. The service area is situated in the low-heat river valley area of southwestern Yunnan, south of the Tropic of Cancer, within the tropical zone, characterized by a typical subtropical monsoon climate. The surrounding region includes three counties: A, B, and C. According to the Yunnan Annual Climate Bulletin (2024), the area enjoys an annual average sunshine duration of 1900 to 2200 h, making it a Class-II solar resource region with abundant solar energy potential. Based on these conditions and the referencing literature [
28,
29,
30], the simulated comprehensive PV output for the region is shown in
Figure 6.
The service area has approximately 300 m
2 of rooftop space (including office buildings, staff dormitories, power distribution rooms, and canteens) and 200 m
2 of parking area. Additionally, 1300 m
2 of space is available per kilometer along the roadside slopes for PV module installation, with a capacity of 0.15 kWp per square meter. The load demand peaks during the morning and evening rush hours, correlating with commuting and travel patterns, while the midday load is relatively low. Seasonal factors also significantly influence electricity demand, with higher midday loads in summer and higher morning/evening loads in winter. These load variations are critical for the design and operation strategies of PV microgrids, particularly during peak hours and across different seasons. Based on field-measured conditions, we estimated the typical daily load profile of the service area, as shown in
Figure 7.
4.2. Analysis of Block-Based Layout Optimization in the Construction Phase
This section validates the effectiveness of the proposed PV microgrid operation and maintenance optimization model in dynamically adjusting the operating states through a real-world case study. A highway service area was selected as the research object to analyze how the model optimizes the matching between PV generation and load demand under varying weather conditions and load changes, thereby improving the overall performance and economic efficiency of the system. The case study calculations were performed in a Python 3.9 environment. Based on the mathematical model proposed in this study and referencing the actual case, the analysis focuses on power balance and cost efficiency under different scenarios (e.g., weather, seasons). Key parameters for the case study are listed in
Table 2.
This study analyzes the microgrid of a service area in southern Yunnan, optimizing the load and PV output data through the dynamic block model to derive the optimal block configuration. The capacities of the blocks are 10 kW, 20 kW, 40 kW, 60 kW, 60 kW, 60 kW, 60 kW, 60 kW, 60 kW, and 70 kW, corresponding to blocks 1 through 10. This configuration, tailored to the specific conditions of the case, maximizes power dispatch flexibility while ensuring economic efficiency.
4.3. Analysis of Dynamic Block Adjustment Optimization in Operation and Maintenance
Considering the uncertainty of PV output, especially under complex weather conditions, this study analyzes PV power output under different weather scenarios. Based on the annual weather frequency of the region (clear days: 35%, cloudy days: 30%, rainy days: 25%, other weather: 10%), the optimal block configuration was determined through weighted calculations. The daily power adjustment characteristics under different weather conditions in autumn are illustrated in
Figure 8. The optimization model effectively reduces the discrepancy between generation and load demand, particularly during midday and evening periods with significant load fluctuations, by rapidly adjusting generation to match demand.
As shown in
Figure 8, during autumn rainy weather, the PV system in the highway service area may fail to generate sufficient power due to significantly reduced solar radiation and prolonged cloud cover. Consequently, there may be periods with no PV output, which can be compensated by deploying energy storage systems or other power dispatch methods.
Figure 9 illustrates the on/off states of each block during different time periods on a clear autumn day. Through dynamic adjustment, the system deactivates some blocks when generation exceeds demand to avoid power surplus and activates backup blocks when generation is insufficient to ensure that the load demand is met.
To address the power mismatch between the photovoltaic generation and actual load demand in highway service area microgrids, the proposed case study derives an optimal block disconnection scheme for a typical autumn day through numerical optimization, achieving superior power balance performance. Theoretically, the model’s accuracy improves with increased block partitioning, though the maximum number of blocks is ultimately constrained by the physically allocable PV panels on site. Extensive experiments under diverse climatic conditions demonstrate that the optimal block configuration achieves 23.91% average power adjustment and 98.94% dispatch accuracy, confirming the method’s reliability under complex weather conditions.
5. Conclusions
This study addresses the energy management and optimization challenges of photovoltaic microgrids in highway service areas within the mountainous regions of southwestern China by proposing a dynamic block optimization model. The model integrates an intelligent adjustment mechanism and long short-term memory (LSTM) networks for short-term PV output prediction. By determining the optimal block configuration during the construction phase and dynamically adjusting the operating states of the blocks during the operation and maintenance phases, the model significantly improves the utilization efficiency of PV generation and the economic performance of the system. The key findings are summarized as follows:
(1) Dynamic Block Optimization Mechanism: The proposed dynamic block optimization model intelligently adjusts the partitioning of PV systems based on real-time load demand and generation conditions. By flexibly activating or deactivating blocks, the model achieves optimal matching between power supply and demand.
(2) LSTM-Based Prediction for Enhanced Stability: The LSTM network effectively predicts short-term PV output and load demand, addressing challenges posed by weather and seasonal variations. Accurate prediction results enhance the efficacy of dynamic adjustment strategies, mitigating the impact of power fluctuations on system stability.
(3) Superior Performance Over Static Methods: The simulation results demonstrate that the dynamic block optimization model outperforms traditional static partitioning methods under diverse environmental conditions. Reduced operational costs and enhanced system stability highlight the advantages of the dynamic strategy in complex terrains and dynamic environments.
(4) Dual Benefits of Economic and Environmental Efficiency: By optimizing the PV layout and dynamically adjusting operational states, the model reduces reliance on the main grid, lowers operational costs, and significantly reduces carbon emissions. This aligns with the goals of green energy adoption and sustainable development.
Author Contributions
This work was collaboratively developed with the following individual contributions: Z.S. and H.W.: conceptualization and methodology development; Z.M.: software implementation and writing (review and editing); T.X.: formal analysis, investigation, and resources; X.H.: investigation, data curation, and resources; L.S.: investigation, resources, and project administration; P.C.: supervision and writing (review and editing); Z.S.: original draft preparation. All authors have read and agreed to the published version of the manuscript.
Funding
This research was supported by the following grants: National Natural Science Foundation of China (Grant No. 52167012); Yunnan Provincial Department of Transportation Science & Technology Demonstration Project (Key Technologies for Photovoltaic Integration and Energy Efficiency Enhancement in Yunnan Expressways, Yun-Jiao-Ke-Jiao-Bian [2022] No. 124); Yunnan Communications Investment & Construction Group Science & Technology Innovation Project (Key Technologies for Photovoltaic Integration and Comprehensive Energy Efficiency Improvement along Border Expressways, YCIC-YF-2022-19); Yunnan Provincial Department of Transportation Science & Technology Project (Research on Green Low-Carbon Construction Management Technologies, 4530000HT202209089); Yunnan Provincial Key Laboratory of Digital Transportation (Grant No. 202205AG070008); The Article Processing Charge (APC) was funded by [Yunnan Provincial Institute of Transportation Planning and Design].
Data Availability Statement
The original contributions presented in this study are included in the article. Further inquiries can be directed to the corresponding author.
Conflicts of Interest
Authors Ze Shi, Tianxiang Xiao, Xiliu Huang, and Long Shao are employed by the Yunnan Demeng Expressway Investment and Development Co., Ltd.; Author Hao Wu is employed by the Yunnan Provincial Institute of Transportation Planning and Design; The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as potential conflicts of interest.
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