Optimal Power Split in a Hybrid Electric Vehicle using Direct Transcription of an Optimal Control Problem

LAURA V. PÉREZ; ELVIO A. PILOTTA

Huatulco, Oaxaca, México

Workshop; VI PanAmerican Workshop in Applied and Computational Mathematics; 2006

San Diego State University and Universidad del Mar (Oax. México)

To efficiently operate electromechanical systems powered by two energy sources, it  is necessary to  determine the instantaneous  power split between sources  in order  to minimize the  energy consumption  of the whole  system.  In this  work, this  problem is  posed as  a nonlinearfinite  horizon  optimal  control   problem  with  control  and  state constraints  and solved  using a  direct transcription  approach.  The problem  is  fully  discretized  in  time  and  the  resulting  finite dimensional   optimization  problem  is   solved  using   a  nonlinear programming  code.  This paper  describes  the  application of  direct transcription to the  case of the hybrid electric  vehicle (HEV) being developed in the Applied Electronics  Group (GEA) at the University ofRío  Cuarto. The  statement  and  discretization  of the  control problem,  the setting  for using  the nonlinear  programming  code and several  examples  and  comparisons   with  those  obtained  by  other approaches are described.