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Abstract
The design and evaluation of a numerical optimization based energy management system for domestic houses comprising photovoltaic energy production and battery electrical storage is considered. The combination of time–variant electricity prices and the option to store generated power for later use introduces the interesting optimization problem of how to optimally operate (charge/discharge) the battery in order to minimize operation costs for the user. In most of the cases, optimization problems consider constant values of the power inverter efficiencies and hence, the optimization problem can be solved by using linear programming methods. The use of constant values of power inverter efficiencies assumes, that changing and discharging energyflows lie on some most probably operating region of the inverter. We investigate here the validity of this consideration, by modeling an optimization problem, which considers a nonlinear parametrization of the power inverter efficiency curves. This way to model the optimization problem makes the optimization problem itself nonlinear. The main contribution of this paper is the presentation of a method to solve the nonlinear optimization problem generated by the use of nonlinear parametrization of the power inverter efficiency. The proposed method defines and solves a sequence of iterative linear programming optimization problems to solve approximately the original nonlinear optimization problem. Numerical simulations in a realistic simulation setup using measurement data from a photovoltaic installation and load data from a single family house over the time of one entire year are used for evaluating the performance. As the results show, the proposed iterative algorithm is able to achieve lower costs for the user than standard rulebased (non optimization) and frequently used linear optimization approaches not considering the efficiency nonlinearities. It can be concluded that the nonlinear efficiency curves significantly contribute to the overall performance of an energy management system since they vary in a wide range, especially in the partload range of the inverter.
Original language  English 

Article number  109183 
Journal  Electric Power Systems Research 
Volume  218 
DOIs  
Publication status  Published  May 2023 
Keywords
 Distributed energy resources
 Energy management
 Linearization
 Micro grid
 Renewable energy
 Smart grid
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Dive into the research topics of 'An iterative linear programming approach to optimize costs in distributed energy systems by considering nonlinear battery inverter efficiencies'. Together they form a unique fingerprint.Projects
 1 Finished

FTI OÖ  FTI OÖ Methodenentwicklung für Energieflussoptimierung
Kirchsteiger, H., Beneder, M., DaborerPrado, N., Kirchsteiger, H., Wagner, C., Carreras Oliver, F., Resch, A. & Schnellendorfer, M.
01.01.2018 → 31.12.2022
Project: Research Project