Nominal energy optimisation method of constrained battery packs through the iteration of the series‐parallel topology

• Published in: International journal of energy research Vol. 41; no. 12; pp. 1709 - 1729
• Main Authors: Fernández‐Montoya, Mauricio, Arias‐Rosales, Andrés, Osorio‐Gómez, Gilberto, Mejía‐Gutiérrez, Ricardo
• Format: Journal Article
• Language: English
• Published: Bognor Regis Hindawi Limited 10.10.2017
• Subjects: battery; Capacity; cell failure; Cells; Competition; Constraints; Energy; Failure analysis; Iterative methods; Mathematical analysis; optimisation; Optimization; Procedures; Rounding; Series (mathematics); series‐parallel topology; solar car; Theoretical analysis; Topology
• ISSN: 0363-907X; 1099-114X
• DOI: 10.1002/er.3734

Summary The design of a battery pack commonly deals with high performance goals and challenging constraints in terms of cost, volume or weight. One of the most crucial variables to maximise is the nominal energy, which depends on the number of discrete battery cells that can be allocated and their individual technical specifications. This work proposes a systematic method to optimise the nominal energy of a constrained battery pack from the perspective of the series‐parallel topology. A mathematical and graphical characterisation is presented on how the main battery's variables are related to a topology bounded to discretisation procedures. It was theoretically found that the effects of rounding the values of the topology may lead to a considerable loss of potential nominal energy, a risk that increases linearly with the number of series. The behaviour of the battery is assessed under nominal conditions and under the event of a cell failure. The theoretical analysis suggests that the detrimental effects due to an open‐circuit increase as the number of series increases, while it is the opposite in the case of a shorted cell. The method is satisfactorily implemented in the development of two different battery packs for solar competition cars with limiting regulations. The candidate topologies outperformed the nominal energy of topologies defined without the method in up to 5%. It was also found that selecting an energy‐maximising topology is not always the most convenient choice, because other variables may be of interest and are dependent on the topology as well. The method is of great use to guide the topology definition process in early theoretical stages, which is usually a compromise between allocating as much cells as possible within constraints, and approaching other performance goals such as a given nominal voltage or capacity. Copyright © 2017 John Wiley & Sons, Ltd. A method for optimising the nominal energy of a constrained battery pack from the perspective of the series‐parallel topology. A mathematical and graphical characterisation is presented of how the main battery's variables are related to a topology bounded to discretisation procedures, both under nominal and cell‐failure conditions. The method is implemented in the development of two battery packs for solar competition cars.