**Friday, 16:15 - 16:40 h, Room: MA 550**

**Daniel Huppmann**

Approximating unit commitment using mathematical programming under equilibrium constraints

**Coauthors: Jan Abrell, Wolf-Peter Schill**

**Abstract:**

Modeling the electricity market and computing optimal dispatch is difficult due to many specific features of the power sector, such as unit commitment (i.e., binary decision variables), non-linear cost functions due to the varying efficiency of a power plant contingent on capacity utilization, and other engineering constraints. Models that capture these aspects grow quickly in complexity and are usually intractable in large-scale applications. Hence, researchers frequently resort to linear models. This, however, raises the question of choosing the parameters for a linear model to describe a highly non-linear interrelation as accurately as possible. We propose a mathematical program under equilibrium constraints (MPEC) to solve this problem; it minimizes the “distance” between a complex unit commitment model (mixed integer non-linear program, MINLP), and a linear mixed complementarity program (MCP) by setting the parameters of the MCP accordingly. This problem is applied to several data sets and time horizons to derive an understanding of the sensitivity of the obtained parameters. We conclude that our approach offers a feasible path to calibrate linear electricity market models.

Talk 3 of the contributed session Fri.3.MA 550

**"MPEC problems and market coupling"** [...]

Cluster 18

**"Optimization in energy systems"** [...]