Dual variables system analysis for electromechanical systems

Abstract

Based on method of electro-mechanical analogy, displacement and force variables of mechanical structure are regarded as dual variables corresponding to electrical network, thus some concepts, parameter equations, analyzing and solving methods of electrical network theory can be applied in electromechanical systems. Electro-mechanical coupling systems are considered as dual variables systems, and are analyzed by the unified methods of dual variables systems. As the typical examples, mechanical vibration model, mechanical transmission system and DC servomotor system are considered as chain dual systems with lumped-parameter, and are analyzed by the analysis methods of dual variables systems. The analytical results agree with those obtained by using traditional methods, and the solving process is intuitional and simple compared with traditional methods. The applications show that the analysis methods of dual variables systems are validity and versatility for electromechanical systems.