Linear Analysis Approach for Modelica Models

Loig Allain
LMS Imagine, France

Stéphane Neyrat
LMS Imagine, France

Antoine Viel
LMS Imagine, France

Ladda ner artikelhttp://dx.doi.org/10.3384/ecp09430097

Ingår i: Proceedings of the 7th International Modelica Conference; Como; Italy; 20-22 September 2009

Linköping Electronic Conference Proceedings 43:75, s. 646-656

Visa mer +

Publicerad: 2009-12-29

ISBN: 978-91-7393-513-5

ISSN: 1650-3686 (tryckt), 1650-3740 (online)


This paper is dedicated to the Linear Analysis of dynamic systems represented by Modelica models. The simulation of dynamic systems helps the engineer in his design activities giving him a better understanding of the system he is in charge. Additionally to time-domain simulations; frequency domain analysis provides a complementary view of the systems. This paper gives a general overview of the Linear Analysis methods that can be performed on Modelica models using the existing facilities in LMS Imagine. Lab platform. It highlights the use of Eigenvalues; Modals Shapes; Transfer Functions or Root Locus to fully understand the intrinsic dynamic behaviors of the systems; including non-linear systems. Different multi-physics examples show how these tools can be used practically.


Modelica; linear analysis; eigenvalues; modal shapes; transfer function; root locus


[1] “Multi-Formalism Modelling and Simulation” – H. Vangheluwe; Thesis; Universiteit Gent; Faculteit Wetenschappen; 2000-2001

[2] “The LinearSystems Library for Continuous and Discrete Control Systems” – M. Otter; Modelica Conference; 2006.

[3] “Mathematics of finite-dimensional control systems: theory and design” - D. L. Russell; Marcel Dekker; 1979.

[4] “System Dynamics – Modeling and Simulation of Mechatronics Systems” - D.C. Karnopp; D.L. Margolis; R.C. Rosenberg; 3rd Edition; John Wiley & Sons Inc.; 2000

[5] “Object Oriented Modeling of a Gasoline Direct Injection System” - M. Corno; F. Casella; S. M. Savaresi; R. Scattolini; Modelica Conference; 2008.

[6] “Advanced Modeling of a Heavy-Truck Unit Injector System and its Application in the Engine Design process” - P. Chaufour; G. Millet; M. Hedna; S. Neyrat; E. Botelle – SAE2004-01-0020; 2004

[7] “Design and Implementation of Object-Oriented Model Libraries using Modelica” - H. Tummescheit; Lund; Sweden: PhD thesis; Department of Automatic control; Lund Institute of Technology; 2002.

[8] “Analysis; Synthesis and Design of Hydraulic Servosystems and Pipelines"- T.J. Viersma; Elsevier Scientific Publishing Company; 1980

Citeringar i Crossref