空气球系统建模与仿真

Modeling and Simulation of AirBall System

研究空气球系统模型的优化,为稳定性控制提供依据。系统由控制器、风扇、玻璃管、空气球等构成,是一类复杂的非线性系统。由于外部工作环境中风速、空气球自身转速和高度的影响造成空气球系统稳定性和响应特性差,为解决空气球高度的稳定控制,提出建立被控对象的精确数学模型。采用机理建模的方法依据风机工作原理、流体力学、伯努利方程、转子流量计基本原理以及空气球受力情况建立了由输入电压到空气球高度响应的数学模型。最后在Matlab软件上对空气球模型进行了仿真。仿真结果与空气球系统实验结果吻合,证明了所建模型的有效性,为空气球系统的稳定性控制提供了依据。

This paper studied the airball system model optimization,and provided the basis for stability control.Airball system consists of a DC electric motor,a fan,a glass tube,an airball etc,and is a kind of complicated nonlinear system.Because wind speed in the external environment,airball ′s speed and the height,impact the airball system＇s stability and response characteristic,in order to realize the airball height stability control,the mathematical model of the system is needed.This paper built the system model based on the voltage responsing to the airball height,according to wind machine principle,fluid dynamics,Bernoulli equation,rotor flow meter principle and air ball stress analysis.Finally,simulation the based on the whole model was done with Matlab/Simulink.The simulation result was compared with the physical response curve to show that the model is accurate.