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ThinkMind // ENERGY 2021, The Eleventh International Conference on Smart Grids, Green Communications and IT Energy-aware Technologies // View article energy_2021_3_10_30006
Pointing out the Convolution Problem of Stochastic Aggregation Methods for the Determination of Flexibility Potentials at Vertical System Interconnections
 Authors:
Johannes Gerster
Marcel Sarstedt
Eric MSP Veith
Sebastian Lehnhoff
Lutz Hofmann Keywords: TSO/DSO-coordination; convolution of probability distributions; aggregation of flexibilities; feasible operation region; hierarchical grid control Abstract:
The increase of generation capacity in the area of responsibility of the Distribution System Operator requires strengthening of coordination between Transmission System Operator and Distribution System Operator in order to prevent conflicting or counteracting use of flexibility options. For this purpose, methods for the standardized description and identification of the aggregated flexibility potential of distribution grids are developed in the context of Smart Grids management and control. Approaches for identifying the flexible operation region of distribution grids can be categorized into two main classes: Data-driven/stochastic approaches and optimization-based approaches. While the latter have the advantage of working in real-world scenarios where no full grid models exist, when relying on naive sampling strategies, they suffer from poor coverage of the edges of the feasible operation region. To underpin the need for improved sampling strategies for data-driven approaches, in this paper we point out and analyse the shortcomings of naiv̈e sampling strategies with focus on the problem of leptocurtic distribution of resulting interconnection power flows. We refer to this problem as convolution problem, as it can be traced back to the fact that the probability density function of the sum of two or more independent random variables is the convolution of their respective probability density functions. To demonstrate the convolution problem, we construct a series of synthetic 0.4 kV feeders, which are characterized by an increasing number of nodes and apply a sampling strategy to them that draws set-values for the controllable distributed energy resources from independent uniform distributions. By calculating the power flow for each sample in each feeder, we end up with a collapsing point cloud of interconnection power flows clearly indicating the convolution problem. Pages: 31 to 37 Copyright: Copyright (c) IARIA, 2021 Publication date: May 30, 2021 Published in: conference ISSN: 2308-412X ISBN: 978-1-61208-855-6 Location: Valencia, Spain Dates: from May 30, 2021 to June 3, 2021
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