Bond Graph Method for the Dynamic Similarity Analysis of Complex Electromechanical System

Abstract

The existing similitude methods can only be applied to the dynamic similarity analysis of elements (or components) with single-energy domain,and there are many difficulties when they are utilized to study the dynamic similarity of complex electromechanical system with multi-energy domains. To solve this problem,the prerequisite condition for the similarity of bond graph of system is explored and the dynamic similarity conditions for the elements of bond graph are derived on the basis of bond graph which is an effective tool for modeling of system with multi-energy domains. The system modal similarity is analyzed and studied according to the mode analysis theory based on bond graph. The similarity relations of major modal parameters such as frequency and vibration mode are established. Thus,the bond graph method for dynamic similarity analysis of complex electromechanical system is presented. The similarity requirements for the system can be easily derived without the physical equations,and the dynamic model test of system with multi-energy domains can be achieved by a simple single-domain model system when the new method proposed is utilized in the dynamic similarity analysis,which provides new methods and ideas for the research on dynamic similarity of complex electromechanical system. The example provided shows that the similarity conditions can be derived efficiently and conveniently when the method is utilized to instruct the dynamic similarity design and model test of complex electromechanical system.