Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
153 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
45 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Impact of different time series aggregation methods on optimal energy system design (1708.00420v1)

Published 1 Aug 2017 in math.OC and cs.CE

Abstract: Modelling renewable energy systems is a computationally-demanding task due to the high fluctuation of supply and demand time series. To reduce the scale of these, this paper discusses different methods for their aggregation into typical periods. Each aggregation method is applied to a different type of energy system model, making the methods fairly incomparable. To overcome this, the different aggregation methods are first extended so that they can be applied to all types of multidimensional time series and then compared by applying them to different energy system configurations and analyzing their impact on the cost optimal design. It was found that regardless of the method, time series aggregation allows for significantly reduced computational resources. Nevertheless, averaged values lead to underestimation of the real system cost in comparison to the use of representative periods from the original time series. The aggregation method itself, e.g. k means clustering, plays a minor role. More significant is the system considered: Energy systems utilizing centralized resources require fewer typical periods for a feasible system design in comparison to systems with a higher share of renewable feed-in. Furthermore, for energy systems based on seasonal storage, currently existing models integration of typical periods is not suitable.

Citations (255)

Summary

  • The paper finds that aggregating time series data significantly reduces computational complexity in energy system modeling.
  • The paper shows that medoid-based clustering often achieves more accurate cost estimations compared to centroid-based averaging.
  • The paper indicates that the aggregation method’s effectiveness varies with energy system types, especially those with seasonal storage.

Overview of "Impact of Different Time Series Aggregation Methods on Optimal Energy System Design"

The paper, "Impact of Different Time Series Aggregation Methods on Optimal Energy System Design," authored by Leander Kotzur et al., critically examines how different time series aggregation methods impact the efficiency and accuracy of designing optimal energy systems. Recognizing the computational challenge posed by the fluctuating supply and demand time series in renewable energy systems, the paper explores various methods for aggregating these time series into "typical periods," thereby reducing the scale of analysis necessary for energy system modeling.

Core Contributions

In addressing the computational demands of energy system modeling, the paper extends existing aggregation methods to be applicable across varying types of multidimensional time series, which were previously applied in isolation to different energy system models. The authors methodologically compare these extended aggregation methods and evaluate their influence on cost-optimal energy system design.

  • Aggregation Methods: The paper elaborates on aggregation methodologies like k-means clustering, k-medoids clustering, and averaging representative days, showing how they influence system design differently based on the energy resources utilized.
  • Computational Efficiency: It was determined that regardless of the specific method used, time series aggregation significantly reduces computational resources, suggesting that the primary benefit of aggregation methods lies in computational efficiency rather than in design improvement.
  • Impact on System Cost: A critical finding is that averaged values typically lead to an underestimation of real system costs when compared to using representative periods derived from the original time series. The aggregation method itself has less of an effect on cost underestimation than does the type of energy system considered.

Numerical Results and Insights

The paper’s quantitative analysis revealed that centralized energy systems demand fewer typical periods for feasible system design than systems with a larger share of renewable input. Furthermore, for models depending on seasonal storage, integrating typical periods proves unsuitable.

The paper supports its assertions through comprehensive analysis across various models and methods. It presents comparative results showing that medoid-based aggregation methods frequently perform better in terms of cost estimation accuracy than centroid-based methods. However, even medoid-based methods, which tend to present less smoothed profiles, underestimate actual costs when the number of typical periods is low.

Practical and Theoretical Implications

The implications of this research are substantial both practically and theoretically. Practically, this work guides modelers on choosing the appropriate time-series aggregation methodology based on the specific type of energy system in question. It emphasizes the importance of integrating representative peak periods into aggregation approaches, especially for systems with high operational variability, such as residential systems and systems with intermittent renewable inputs.

From a theoretical perspective, these findings suggest further exploration into integrating the sequence and variability of typical periods in model designs, particularly for systems relying on long-term storage technologies. This is critical to capturing the nuances of temporal variations that impact storage dispatch and overall system efficiency.

Future Directions

Looking ahead, the paper suggests that the sequence of typical periods should be considered to improve the representation of long-term storage operations in models. Also, research should delve into more dynamic aggregation criteria, considering other relevant parameters like variance and gradients to minimize errors in representing time series variability.

In conclusion, this paper underlines the delicate balance between computational efficiency and cost accuracy in energy system design models and encourages the tailoring of aggregation methods to the specific structural characteristics of an energy system. The insights gathered could significantly influence how renewable energy systems are designed in the future, helping to bridge the computational and practical challenges faced in the industry.