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Energy Findings
September 15, 2023 AEST

Residential Electricity Consumption Patterns and their Relationship to Commute Times by Mode

Juan Acosta-Sequeda, Hevar Palani, Ali Movahedi, Aslihan Karatas, Sybil Derrible,
Time-Series ClusteringMachine LearningSpatial AggregationSelf Organizing Mapelectricity consumptionCommute ModeTravel Time
Copyright Logoccby-sa-4.0 • https://doi.org/10.32866/001c.87940
Findings
Acosta-Sequeda, Juan, Hevar Palani, Ali Movahedi, Aslihan Karatas, and Sybil Derrible. 2023. “Residential Electricity Consumption Patterns and Their Relationship to Commute Times by Mode.” Findings, September. https:/​/​doi.org/​10.32866/​001c.87940.
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  • Figure 1. On the left: ComEd service region divided in zip code areas. Each area has been assigned a color depending on the electricity consumption cluster (pattern) assigned by the SOM algorithm. On the left: time series of the different patterns clustered. The red line is the average of each cluster obtained using Dynamic Time Warping Barycenter Averaging (DBA) to get a more insightful representation of the pattern shape.
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  • Figure 2. Average impact on model output per Cluster and commute time percentage range using SHAP.
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  • Figure 3. Impact of each feature by Cluster class. For each observation, the given explanation is represented by a single dot on each feature row.
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Abstract

In this study, the correlation between emerging electricity consumption patterns in the Chicago area and commute times to work by mode are explored. We found that when aggregating similar daily electricity consumption curves, areas sharing similar electricity patterns are geographically closer to each other and located in regions that are strictly urban or suburban. Furthermore, we modelled these clusters in terms of commute times to work by mode. The findings suggest that morning electricity consumption differs significantly among clusters and that it is caused primarily by long duration public transport trips.

1. Questions

The accurate prediction of electricity consumption is important to allocate resources more effectively, for example between power plants, transmission lines, and fuel supplies (Derrible 2019). In addition, it can help providers manage infrastructure and supply costs. The role consumer’ behavior plays is critical to understand the nature of electricity consumption patterns, which can ultimately be useful to plan, design, and implement electricity efficiency policies. Using data from ComEd, Chicago’s primary provider, we ask: how do people consume electricity in the Chicago area? Are there patterns, if so, can they be identified and explained?

2. Methods

Our study area focuses on northeastern Illinois, comprising the Chicago region within the state of Illinois and periurban areas (see map in Figure 1), which is the area served by ComEd (the sole electric provider in the region). We use electricity consumption data from 2019, the most recent available data before the Covid-19 pandemic. The data contain electricity consumption at the zip code level in 30-minute intervals for the entire year. In addition, we used demographic census data from the Census Bureau, also aggregated by zip code.

Figure 1
Figure 1.On the left: ComEd service region divided in zip code areas. Each area has been assigned a color depending on the electricity consumption cluster (pattern) assigned by the SOM algorithm. On the left: time series of the different patterns clustered. The red line is the average of each cluster obtained using Dynamic Time Warping Barycenter Averaging (DBA) to get a more insightful representation of the pattern shape.

Using this dataset, we extracted data for January 30, 2019. From this, we obtained a normalized electricity consumption time series for each of the 466 available zip codes. We used Self Organizing Maps (SOM) time series clustering to identify clusters showing similar consumption patterns and used a silhouette curve to determine the best number of clusters, which resulted in 6 clusters.

Once each zone was assigned to a consumption cluster, we implemented Gradient Boosting Machine (GBM) (Chen and Guestrin 2016) to model the assigned cluster as a target class (i.e., dependent variable) using travel times obtained from the Census Bureau as an explanatory variable. The Census Bureau data contains the number of people whose commute times to work are within specific ranges given in minutes and used certain travel mode at each zip code area. Specifically, we calculate the percentages of population within each range and mode with respect to the total population in each zone and then use these as the only predictors in the GBM model.

3. Findings

Figure 1 presents the results of the SOM clustering and the shape of the average consumption pattern in each cluster. We can see the emerging spatial aggregation, with in particular three important observations. First, cluster 2 includes suburban zip codes only. Second, cluster 5 predominantly includes urban zip codes. Third, cluster 6 strictly includes Chicago’s downtown core and the immediate vicinity of the city limits. These three clusters present similar consumptions patterns, and the difference between them cannot be overlooked. Cluster 2 has a higher morning peak around 11 am, followed by a steep drop in the afternoon hours. These two features are not present in clusters 5 and 6. Although subtle, the main difference between clusters 5 and 6 lies in the morning. Cluster 6 does not present a peak, but a flat, sustained consumption throughout the morning and until the afternoon. In contrast, cluster 5 presents a morning peak around noon, which is lower in magnitude than the morning peak of cluster 2 and higher that all consumption values in the morning curve of cluster 6.

The consumption patterns of clusters 1, 3, and 4 are completely different than the three other clusters discussed above. Cluster 1 shows a highly varying pattern with a clear drop during the afternoon hours. In contrast, cluster 4 shows a similar drop during the morning. Cluster 3 shows a sustained consumption values that increase at the end of the day. These three clusters have in common that they are all found exclusively in sparse suburban zones.

In order to explain the differences between these consumption patterns, using GBM, we modelled the cluster as a target class using commute times by mode percentages per zone as explanatory variables since consumption and traffic demand are interrelated (Movahedi and Derrible 2021). From this, we were able to obtain an estimation of the impact of each variable on each cluster thanks to SHapley Additive exPlanations (SHAP) (Lundberg and Lee 2017); results shown in Figure 2. Here we can see that the long public transport (PT) commute (over 60 minutes) variable has the highest impact on the model. This effect is especially important in clusters 2, 5, and 6, which means that the proportion of long PT trips is highly determinant in urban and suburban contexts in terms of electricity consumption, either by their presence or their absence.

Figure 2
Figure 2.Average impact on model output per Cluster and commute time percentage range using SHAP.

In order to understand this effect better, we built beeswarm plots (Figure 3) to display information-dense representations of the effect of each feature on each cluster. We can see that PT commutes have the highest impact on clusters 2, 3, and 5, which is consistent with Figure 2. We can also observe that a high presence of long PT commutes will decrease the likelihood of being classified in cluster 2 and will have the opposite effect on clusters 5 and 6. This means a high number of long-time PT commutes in an area decreases the chances of having a consumption pattern with a more pronounced morning peak, associated also with suburban areas. Another aspect worth pointing out is that the most relevant features in Cluster 1 are almost exclusively related to overall car usage and short walking trips.

Figure 3
Figure 3.Impact of each feature by Cluster class. For each observation, the given explanation is represented by a single dot on each feature row.

In summary, the absence of long duration PT commutes in suburban and periurban areas is associated with more pronounced electricity consumption peaks, whereas a higher proportion of long duration commutes is associated with a flat morning electricity consumption pattern. The presence of interrelationships is in line with similar findings present in other utility sectors, including for the consumption of water and gas (Cordova et al. 2019; Movahedi et al. 2023).

Submitted: May 20, 2023 AEST

Accepted: September 13, 2023 AEST

References

Chen, Tianqi, and Carlos Guestrin. 2016. “XGBoost: A Scalable Tree Boosting System.” In Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, KDD ’16, 785–94. New York, NY, USA: Association for Computing Machinery. https:/​/​doi.org/​10.1145/​2939672.2939785.
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Cordova, Jose, Lalitha Madhavi Konila Sriram, Ayberk Kocatepe, Yuxun Zhou, Eren E. Ozguven, and Reza Arghandeh. 2019. “Combined Electricity and Traffic Short-Term Load Forecasting Using Bundled Causality Engine.” IEEE Transactions on Intelligent Transportation Systems 20 (9): 3448–58. https:/​/​doi.org/​10.1109/​tits.2018.2876871.
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Derrible, Sybil. 2019. “Urban Engineering for Sustainability.” MIT Press. November 19, 2019. https:/​/​mitpress.mit.edu/​9780262043441/​urban-engineering-for-sustainability/​.
Lundberg, Scott M., and Su-In Lee. 2017. “A Unified Approach to Interpreting Model Predictions.” In Advances in Neural Information Processing Systems, edited by I. Guyon, U. Von Luxburg, S. Bengio, H. Wallach, R. Fergus, S. Vishwanathan, and R. Garnett. Vol. 30. Curran Associates, Inc. https:/​/​proceedings.neurips.cc/​paper_files/​paper/​2017/​file/​8a20a8621978632d76c43dfd28b67767-Paper.pdf.
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Movahedi, Ali, and Sybil Derrible. 2021. “Interrelationships between Electricity, Gas, and Water Consumption in Large-Scale Buildings.” Journal of Industrial Ecology 25 (4): 932–47. https:/​/​doi.org/​10.1111/​jiec.13097.
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Movahedi, Ali, Amir Bahador Parsa, Anton Rozhkov, Dongwoo Lee, Abolfazl Kouros Mohammadian, and Sybil Derrible. 2023. “Interrelationships between Urban Travel Demand and Electricity Consumption: A Deep Learning Approach.” Scientific Reports 13 (1): 6223. https:/​/​doi.org/​10.1038/​s41598-023-33133-y.
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