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Nonlinear circuits with parallel‐/series‐connected HP‐type memory elements and their characteristic analysis
Author(s) -
Liu Yue,
Guo Zhang,
Chau Tat Kei,
Iu Herbert HoChing,
Si Gangquan
Publication year - 2021
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2915
Subject(s) - series and parallel circuits , series (stratigraphy) , electronic circuit , nonlinear system , admittance , phasor , reciprocal , equivalent circuit , network analysis , oscillation (cell signaling) , control theory (sociology) , type (biology) , topology (electrical circuits) , electrical impedance , mathematics , computer science , mathematical analysis , physics , voltage , electrical engineering , engineering , philosophy , artificial intelligence , ecology , linguistics , genetics , biology , paleontology , power (physics) , electric power system , control (management) , quantum mechanics , combinatorics
Summary In this paper, two nonlinear circuits are constructed based on the HP‐type flux‐ / charge‐ controlled memory elements in parallel and series connections. Then, the phasor method is utilized to analyze and verify the frequency doubling mechanism between pinched hysteresis loops and the applied sinusoidal excitation. The expressions of equivalent admittance (denoted as Y M ) and impedance (denoted as Z M ) for memory elements connected in parallel and series and the unified forms of which are also derived, respectively. Moreover, the mathematical models for the parallel‐/serial‐ connected circuits are obtained and their characteristics are described. Meanwhile, the dual relationships, which come from the reciprocal relationship between Y M and Z M , are also discovered based on their models. Furthermore, the gradual steady‐state oscillation and temporal behaviors are demonstrated for two nonlinear circuits. Finally, the experimental verification shows a good agreement between theoretical analysis and experimental results.