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Times Series Forecasting for Urban Building Energy Consumption Based on Graph Convolutional Network
Yuqing Hu, Xiaoyuan Cheng, Suhang Wang, Jianli Chen, Tianxiang Zhao, Enyan Dai
TL;DR
Urban building energy models often oversimplify or omit inter-building effects, which are challenging to capture in urban settings. This study combines solar-based building interdependency with ST-GCN for hourly campus-building energy prediction, and reports that ST-GCN outperforms heuristic and other machine-learning models.
Problem
Urban building energy models often oversimplify or neglect dynamic, nonlinear inter-building effects that matter to urban energy modeling.
Source: INTRODUCTION · p. 2Method
The study combines solar-based building interdependency with ST-GCN to predict hourly energy use for campus buildings.
Source: LITERTURE REVIEW · p. 5, METHODOLOGY · p. 7Results
In the campus case, ST-GCN outperforms both heuristic and other machine-learning models.
Source: DISCUSSION AND LIMITATION · p. 19Takeaways & Limitations
The campus case provides high-level validation of the model for a small, dense downtown area common in parts of eastern America.
Source: DISCUSSION AND LIMITATION · p. 19Evaluation covered 26 co-located campus buildings in 2016–2017, so the time span and building types were limited; larger geographic areas and more diverse settings remain to be evaluated.
Source: DISCUSSION AND LIMITATION · p. 19
Abstract
from arXiv · showhide
The world is increasingly urbanizing and the building industry accounts for more than 40% of energy consumption in the United States. To improve urban sustainability, many cities adopt ambitious energy-saving strategies through retrofitting existing buildings and constructing new communities. In this situation, an accurate urban building energy model (UBEM) is the foundation to support the design of energy-efficient communities. However, current UBEM are limited in their abilities to capture the inter-building interdependency due to their dynamic and non-linear characteristics. Those models either ignored or oversimplified these building interdependencies, which can substantially affect the accuracy of urban energy modeling. To fill the research gap, this study proposes a novel data-driven UBEM synthesizing the solar-based building interdependency and spatial-temporal graph convolutional network (ST-GCN) algorithm. Especially, we took a university campus located in downtown Atlanta as an example to predict the hourly energy consumption. Furthermore, we tested the feasibility of the proposed model by comparing the performance of the ST-GCN model with other common time-series machine learning models. The results indicate that the ST-GCN model overall outperforms all others. In addition, the physical knowledge embedded in the model is well interpreted. After discussion, it is found that data-driven models integrated engineering or physical knowledge can significantly improve the urban building energy simulation.
KEYWORD
The paper centers on building interdependency, urban-scale building simulation, graph neural networks, and time-series prediction.
- Building interdependency is a central topic in urban-scale building simulation.Source: KEYWORD · p. 1
- Graph neural networks are another key topic in the paper.Source: KEYWORD · p. 1
- The paper addresses time-series prediction of urban building energy consumption.Source: KEYWORD · p. 1
INTRODUCTION
Urban energy modeling matters for sustainability, but existing approaches often simplify or omit inter-building effects. This study proposes a graph-neural-network approach to account for those effects and evaluates it on an Atlanta campus.
- Around 41% of U.S. energy and 76% of U.S. electricity are attributed to the building industry.Source: INTRODUCTION · p. 1
- Inter-building effects include shadowing, radiation, wind flow, and human mobility, and can be nonlinear, high-dimensional, and dynamic.Previous studies report effects on surface temperature and cooling demand, while prior UBEMs have oversimplified or neglected these interdependencies.Source: INTRODUCTION · p. 2
- Physics-based UBEM can face calibration and scalability challenges, while many data-driven models focus on individual buildings and ignore interdependency.Source: INTRODUCTION · p. 2
- The study proposes a graph-neural-network UBEM and compares it with other machine-learning models using hourly data from 26 Atlanta campus buildings.Source: INTRODUCTION · pp. 2–3
LITERTURE REVIEW
The review contrasts urban modeling approaches and identifies the challenge of representing interactions among buildings. It motivates graph-based spatiotemporal modeling as a way to incorporate interdependency into energy prediction.
- Bottom-up UBEM aggregates building-level energy use, whereas top-down methods use aggregate socioeconomic and technological indicators.Source: LITERTURE REVIEW · p. 3
- Physics-based UBEM can simplify or neglect building interactions and microclimates because modeling them is complex and computationally demanding.Calibration is also difficult to apply at city scale because of computational overhead.Source: LITERTURE REVIEW · p. 3
- Data-driven UBEM uses statistical or machine-learning methods and can operate at annual, monthly, daily, or hourly resolutions.Source: LITERTURE REVIEW · p. 4
- A prior ResNet approach modeled hidden urban-environment impacts, but required time-consuming physics-based energy data and did not expose adjacent-building correlations through its hidden-layer weights.Source: LITERTURE REVIEW · p. 4
- Graph neural networks represent each node using its attributes and information aggregated from adjacent nodes.Source: LITERTURE REVIEW · p. 4
- ST-GCN collects spatial information through graph networks and then passes it to a sequence model; the study uses it to model interdependence and predict building energy use.Source: LITERTURE REVIEW · p. 5
METHODOLOGY
The framework combines solar-based building interdependency with ST-GCN to model urban building energy use. It constructs a dependency graph, adds building and weather features, and compares prediction models.
Building interdependency analysis
- Solar interdependency is represented with time-series radiation, shadow angle, distance, and shading-direction attributes on building links.The study uses OpenStreetMap and PySolar; links are limited to buildings within three times a building’s height.Source: METHODOLOGY · p. 7
Graph neural network
- ST-GCN combines spatial features of inter-building impacts with temporal features of energy use through graph convolution and temporal convolutions.Its ST-Conv blocks contain two gated sequential convolution layers around one spatial graph convolution layer.Source: METHODOLOGY · pp. 8–9
- The model learns a time-dependent adjacency matrix from building features to reflect changing solar-based relations.An MLP learns the weights of existing graph edges.Source: METHODOLOGY · p. 9
Validation and model comparison
- Model accuracy is assessed with RMSE and MAPE against last-hour, average, linear regression, MLP, XGBoost, and GRU models.The comparison tests the significance of including building interdependency in data-driven prediction.Source: METHODOLOGY · pp. 9–10
Case study
- The study compares energy-prediction models, including spatial-temporary graph convolutional networks, for building energy consumption across 26 classroom, office, and library buildings at a downtown Atlanta urban university campus.It focuses on solar-based inter-building dependencies, identifying 42 directed edges whose widths represent impact level.Source: d. Case Study · p. 11
Input data
- The input data frame combines building interdependency, physical characteristics, weather conditions, and historical energy consumption.Building attributes include size, construction characteristics, LEED rating, and occupancy year; weather inputs include temperature, humidity, wind speed, and solar density.Source: d. Case Study · pp. 11–12
RESULT AND ANALYSIS
Across the 24 evaluated buildings, ST-GCN outperformed the other data-driven models overall. Seasonal and indegree analyses report larger improvements in settings associated with stronger solar or inter-building influences.
Model Comparison
- Two buildings undergoing renovation in 2016–2017 were excluded because of abnormal fluctuations, leaving 24 buildings in the graph-network results.Source: RESULT AND ANALYSIS · p. 13
- ST-GCN overall outperformed the other machine-learning models on the 24-building comparison of RMSE and MAPE.The authors also report that future energy use is not readily recovered from historical time-series information alone.Source: RESULT AND ANALYSIS · p. 13, Table 3 · p. 13
- RMSE variance was 92 for ST-GCN, versus 101 for MLP, 158 for GRU, and 168 for XGBoost, indicating the lowest variance among these models.The 24-building RMSE comparison is shown in Figure 4.Source: RESULT AND ANALYSIS · p. 13, Figure 4 · p. 14
- ST-GCN was the most outstanding model by MAPE, and most intervals fell within 5%; the four models mostly met ASHRAE Guideline 14’s 30% hourly-accuracy criterion.Figure 5 presents MAPE for 24 buildings.Source: RESULT AND ANALYSIS · p. 14, Figure 5 · p. 14
Seasonal Analysis
- Reported ST-GCN RMSE improvement rates were 102% in summer, 98% in winter, 71% in spring, and 59% in fall.The authors relate the larger summer and winter improvements to heating and cooling loads’ sensitivity to solar radiation and nearby-building shading; Figure 6 shows seasonal RMSE distributions.Source: b. Model Interpretation · p. 15, Table 4 · p. 15, Figure 6 · p. 16
Indegree Analysis
- Average MAPE improvement for GRU and XGBoost peaked at indegree three, and improvement generally increased with building indegree.The indegree analysis is presented with improvement percentages in Figure 9 and Table 5.Source: b. Model Interpretation · p. 17, Table 5 · p. 17, Figure 9 · p. 18
- Building 21 showed substantial MAPE improvement with two indegrees, while Building 4 and Building 9 were exceptions; the authors note a small shadow on Building 4.The physical graph illustrates Building 21’s two nearby buildings to its west and south and Building 4’s northwest neighbor.Source: b. Model Interpretation · pp. 17–18, Figure 10 · p. 18
DISCUSSION AND LIMITATION
ST-GCN outperformed heuristic and other machine-learning models, with performance improvements linked to building-graph indegree. The evaluation remains limited to a small campus case and solar-based interdependency.
- ST-GCN outperformed heuristic and other machine-learning models, exceeded ASHARE benchmark accuracy, and improved especially in summer and winter, with performance gains positively correlated with node indegree.Source: DISCUSSION AND LIMITATION · p. 19
- Evaluation covered 26 co-located campus buildings in 2016 and 2017, at campus scale, and modeled only solar-based interdependency.Source: DISCUSSION AND LIMITATION · p. 19
- Future work should test more diverse building stocks and urban morphologies, larger geographic areas, and additional interdependencies and microclimates.Source: DISCUSSION AND LIMITATION · p. 19
- The case study provides high-level validation for a small, dense downtown area common in parts of eastern America, not a fully representative large city.Source: DISCUSSION AND LIMITATION · p. 19