Hybrid Bond Graphs Using Switched I and C Components

Two new Bond Graph components are introduced to simplify the modelling of hybrid systems. Contents 1 Introduction 3 2 Modelling Using Switched I and C Components 5 2.1 Bond Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 Ordinary differential equations . . . . . . . . . . . . . . . . . 9 2.3 Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3 Examples 11 3.1 A clutch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.2 A bouncing ball . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.3 A bouncing rod . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.4 A tank with weirs . . . . . . . . . . . . . . . . . . . . . . . . 14 3.5 A DC-DC converter . . . . . . . . . . . . . . . . . . . . . . . 19 4 Conclusion 19 List of Figures 1 Switched I component . . . . . . . . . . . . . . . . . . . . . . 5 2 Switched C component . . . . . . . . . . . . . . . . . . . . . . 6 3 Clutch drive model . . . . . . . . . . . . . . . . . ..