Working Paper Article Version 1 This version is not peer-reviewed

The Error induced by Using Representative Periods in Capacity Expansion Models

Version 1 : Received: 8 December 2020 / Approved: 9 December 2020 / Online: 9 December 2020 (13:39:40 CET)

How to cite: Reichenberg, L.; Hedenus, F. The Error induced by Using Representative Periods in Capacity Expansion Models. Preprints 2020, 2020120229 Reichenberg, L.; Hedenus, F. The Error induced by Using Representative Periods in Capacity Expansion Models. Preprints 2020, 2020120229

Abstract

Capacity Expansion Models (CEMs) are optimization models used for long-term energy planning on national to continental scale. They are typically computationally demanding, thus in need of simplification, where one such simplification is to reduce the temporal representation. This paper investigates how using representative periods to reduce the temporal representation in CEMs distorts results compared to a benchmark model of a full chronological year. The test model is a generic CEM applied to Europe, equipped with a novel formulation for storage in model versions with reduced temporal representation. We test the performance of reduced models at penetration levels of wind and solar of 90%. Three measures for accuracy are used: (i) system cost, (ii) total capacity mix and (iii) regional capacity. We find that: (i) the system cost is well represented (~5% deviation from benchmark) with as few as ten representative days, (ii) the capacity mix is in general fairly well (~20% deviation) represented with 50 or more representative days, and (iii) the regional capacity mix displays large deviations (>50%) from benchmark for as many as 250 representative days. We conclude that modelers should be aware of the error margins when presenting results on these three aspects.

Keywords

electricity system models; time representation; time reduction methods; representative days

Subject

Engineering, Energy and Fuel Technology

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