Use of SQP optimization algorithm to size a multiphysical system

• Published in: Compel Vol. 37; no. 2; pp. 661 - 680
• Main Authors: Tran, Le Nhat Hoang, Gerbaud, Laurent, Retière, Nicolas, Nguyen Huu, Hieu
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Publishing Limited 05-03-2018; Emerald Group Publishing Limited; Emerald
• Subjects: Aircraft design; Algorithms; Avionics; Constraint modelling; Converters; Design optimization; Diodes; Electric power; Electric power grids; Electrical engineering; Electronics; Engineering Sciences; Fourier transforms; Harmonic analysis; Hypotheses; Implicit equations; Mathematics; Modelling; Nonlinear equations; Optimization algorithms; Optimization techniques; Simulation; Sizing; Variables; Multiphysics; Harmonics; SQP; Numerical methods; Optimization techniques; Aircraft electrical power channel; Three-phase diode rectifier; Modelling; Analytical modelling; Sizing; Sizing by optimization
• ISSN: 0332-1649; 2054-5606
• DOI: 10.1108/COMPEL-12-2016-0519

PurposeStatic converters generate current harmonics in power grids. For numerous studies, analytical frequency modeling is preferred to carry out their harmonic modeling in the context of sizing by optimization. However, a design by optimization has to consider other constraints, e.g. modeling constraints and operating constraints. In this way, this paper aims to focus on applying an analytical frequency modeling on the sizing by optimization of an aircraft electrical power channel.
Design/methodology/approachThe paper aims to size a multiphysical system by optimization. In this way, the sizing of an aircraft electrical power channel by optimization has been carried out. The models of all the channel components are analytical. Specifically, the frequency model of the power electronics is based on Tran et al. (2016) and is made of equalities and inequalities. Due to this modeling choice, the optimization satisfies hundreds of constraints, such as modeling constraints and static converter operating constraints. Furthermore, transient constraints are only verified after optimization.
FindingsThe difficulty is the modeling of the system by taking into account nonlinear implicit equations having several solutions. A solution is the addition of inequality constraints to the model to guide the implicit solving. Furthermore, this greatly helps the optimization algorithm to find the good operating mode of the static converter, at steady state. This aspect is indispensable to validate the sizing model.
Research limitations/implicationsThe number of the configurations per operating period of the static converters is defined a priori and limited.
Originality/valueThe analytical model for the sizing is formulated as a constrained optimization problem. Its solving and the sizing by optimization are carried out by the same optimization algorithm.