摘要
PI控制器具有使用方便、适应性和鲁棒性强等特点。因此,在负载不确定的逆变器中被广泛运用。然而,H桥逆变器是强的非线性系统,必然表现出典型的复杂动力学行为。该研究以基于PI控制的H桥逆变器为研究对象。运用频闪映射理论建立该逆变器的离散数学模型;当固定积分调节因数k_i时,得到以比例调节因数k_p为分岔参数的分岔图,并通过迭代图和时域图进行验证。当固定比例调节因数k_p时,得到以积分调节因数k_i为分岔参数的分岔图,并通过频闪图和频谱图进行验证。再次,运用快变稳定性定理对系统工作的稳定性进行分析,进一步的验证了仿真与理论分析的一致性。研究表明输入电压E、负载电感L与电阻R等外部参数对系统稳定性能同样具有重要的影响。因此,该研究对于深刻理解和认识基于PI控制的H桥逆变器工作稳定性有一定的理论意义和实际的工程价值,为该系统的设计提供有力的理论保障。
PI controllers are easy to use,adaptable and robust.Therefore,they are widely used in inverters with uncertain loads.However,H-bridge inverters are strong nonlinear systems and necessarily exhibit typical complex dynamic behavior.This paper takes PI-control H-bridge inverters as the research object.Firstly,the stroboscopic mapping theory was used to establish the discrete mathematical model of the inverter.Secondly,when the integral adjustment factor k_i was fixed,a bifurcation diagram with the proportional adjustment factor as the bifurcation parameter was obtained,and verified by iterative and time domain diagrams.When the proportional adjustment factor k_p was fixed,a bifurcation diagram with the integral adjustment factor as the bifurcation parameter was obtained,and verified by a stroboscopic graph and a spectrum graph.Thirdly,the stability of the system was analyzed by using the fast-changing stability theorem,which further verifies the consistency between simulation and theoretical analysis.Finally,the result shows that external parameters such as input voltage E,load inductance L,and resistance R also have important effects on system stability.Therefore,this research has certain theoretical significance and practical engineering value for deep understanding the work stability of the H-bridge inverters system based on PI control and it can provide a strong theoretical guarantee for the design of the system.
作者
江伟
吴荣华
JIANG Wei;WU Ronghua(Fundamental Science on Radioactive Geology and Exploration Technology Laboratory,East China Institute of Technology,Nanchang 330013,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2020年第16期62-68,共7页
Journal of Vibration and Shock
基金
江西省科技计划项目(20151BBA10053)
江西省教育厅科技项目(181519)
放射性地质与勘探技术国防重点学科实验室开放基金资助项目(RGET1813)
2017抚州市科技计划项目(技术创新引导项目14)。
