E. Upchurch, H. Vu
Mar 1, 2000
Journal of Dynamic Systems Measurement and Control-transactions of The Asme
This paper presents a mathematical model of a pneumatic bine and its pneumatically energized speed control system. turbine and speed control drive an auxiliary hydraulic pump u on commercial aircraft as a backup system should the main pu fail. The mathematical model presented here is highly nonlin which is a direct consequence of using air to energize the sp control system. The equations that describe air flow between air pressure within the various control system compartments not be linearized. Therefore, no attempt was made to linearize portion of the model. The actual control system is known to ha different performance characteristics ~e.g., limit cycle problems and stable performance ! for different operating conditions. Mode simulations run under these same conditions exhibit the same formance characteristics as the actual control system. At this b level of comparison, the model yields acceptable results. Previous studies of turbines and their control systems @1–7# analyzed hydroelectric generating plants using models linear about the turbine’s operating speed. The nonlinear model sented here, however, allows the system response to be for for any situation. The model can, therefore, be used to eval both start-up and steady-state operating conditions ~u like a linearized model !.