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Rectifier circuits for optimal frequency conversion
Author(s) -
Belevitch V.,
Genin Y.
Publication year - 1974
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.4490020202
Subject(s) - electronic circuit , rectifier (neural networks) , mathematics , power (physics) , topology (electrical circuits) , control theory (sociology) , electronic engineering , computer science , electrical engineering , engineering , physics , combinatorics , stochastic neural network , control (management) , quantum mechanics , machine learning , artificial intelligence , recurrent neural network , artificial neural network
It is proved that a circuit consisting of non‐linear passive resistances and of any linear invariant passive elements cannot convert power from frequencies ω 1 and ω 2 into power at frequency m ω 1 + n ω 2 with an efficiency better than 1/(| m | + | n |) 2 . Circuits attaining that efficiency are constructed for all m, n , so that the condition is both necessary and sufficient. For m = μt, n = vt, |μ| + |v| = 2 s (all literals are integers), the optimal circuit consists of a finite number of rectifiers and tuned circuits. For values of m, n that are not of the above form an infinite number of tuned circuits is necessary, but an efficiency better than 93 per cent of the optimum is attainable by simple finite circuits in all cases.