Détection et localisation des discontinuités dans la simulation temps réel des circuits d'électronique de puissance

Abstract

One of the main sources of inaccuracies in a real-time simulation of power electronic circuits cornes from the switching of electronic switches in the circuit. In a fixed step simulation, switching dclays may be experienccd that lead to the dégradation of the simulation results. Consequently, it is of the utmost importance to locate thèse discontinuities to improve the overall précision of the simulation. Many localisation algorithms hâve been proposed which generally hâve two common problems. First of ail, the time step foUowing the discontinuity must be evaluated in order to locate the discontinuity; secondly. thèse localisation algorithms being somewhat rudimentary, at most one discontinuity can be localised in any simulation time step. If an even number of discontinuity are présent in a given time step, détection is impossible. A new algorithm that solves thèse two problems is proposed in this document. It is based on a method used in the field of robotics and uses non-linear system control principles. It detects and locates discontinuities in the following step, based on previous time steps. Moreover, as it uses a polynomial équation for the localisation, it can detect in the time step a number of discontinuities equal to the order of the polynomial. This algorithm has the merit to be totally independent from the numerical method used to solve the differential équations set of the simulation itself. Therefore. it can be used with différent methods without compromising its efficiency and its accuracy. Further tests will show that this new algorithm meets its goals with a better accuracy then current algorithms, without incurring significant delays in the simulation. The latter is important in real-time simulations, since time-constrains must not be exceeded for any reason. and accuracy must not be attained at the priée of an important additional work load.

Date	4 May 2010
Original language	French
Awarding Institution	École de technologie supérieure
Supervisor	Bruno De Kelper (Supervisor)