Open AccessAnalysis of oscillation phenomenon in digital controlled DC-AC H-bridge inverter
Author(s) -
Bo Lei,
Guochun Xiao,
Xuanlyu Wu,
Qi Yuan-Rui
Publication year - 2011
Publication title -
acta physica sinica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.090501
Subject(s) - control theory (sociology) , jacobian matrix and determinant , inverter , hopf bifurcation , inductance , oscillation (cell signaling) , bifurcation , physics , nonlinear system , loop (graph theory) , voltage , topology (electrical circuits) , computer science , mathematics , control (management) , quantum mechanics , combinatorics , artificial intelligence , genetics , biology
The discrete-time iterative map of digitally controlled DC-AC H-bridge inverter with outer load-voltage loop and inter inductance-current loop plus voltage-reference feedforward loop is derived by considering the effect of the time delay problems inherent in digital control system. The type of the bifurcation point when the system loses stability is predicted in terms of the eigenvalues of the Jacobian matrix,and it is found that the type is of the Hopf bifurcation. The analytic expressions of the stability boundaries and the oscillation frequency are deduced, and the underlying mechanism of this nonlinear phenomenon is analyzed. Finally, the theoretical results are verified by simulations and circuit experiments.
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