Open AccessAnalysis of multiple resonant operating points and their autonomous oscillation stabilities in inductive power transfer systems
Author(s) -
Tang Chun-Sen,
Yue Sun,
Xin Dai,
ZhiHui Wang,
Yugang Su,
Hu Aiguo
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.048401
Subject(s) - maximum power transfer theorem , eigenvalues and eigenvectors , stability (learning theory) , control theory (sociology) , transfer function , nonlinear system , poincaré map , electric power system , fixed point , computer science , operating point , piecewise , power (physics) , describing function , piecewise linear function , realization (probability) , oscillation (cell signaling) , dynamical systems theory , series (stratigraphy) , converters , physics , mathematics , mathematical analysis , bifurcation , paleontology , statistics , control (management) , quantum mechanics , machine learning , artificial intelligence , biology , electrical engineering , engineering , genetics
In this paper we determine multiple resonant operating points (ROPs) of inductive power transfer (IPT) systems and perform the corresponding stability analysis of a series-tuned IPT system, which is taken for example, through using nonlinear dynamics theories. The stroboscopic mapping model of the system is built and a piecewise analytical function of the steady-state response is derived with the fixed-point theory. Then a criterion for assessing the system ROPs is given mathematically. The stability analysis of ROPs is achieved according to the locations of the eigenvalues of the Jacobi matrix of the Poincare mapping model of the system. A case study of the phenomenon of multiple ROPs is conducted, and both simulation and experimental results verify the theoretical results of the proposed method. Furthermore, the proposed method can provide useful theoretical reference for modeling and steady-state analysing other similar resonant converters.