IEEE Transactions on Power Electronics · 1990 · 353 citations · 24 references
EngineeringElectrical EngineeringPhysicsCircuit TheoryDynamical SystemsPower ElectronicsBifurcation TheoryChaos TheoryNonlinear Circuit AnalysisNonlinear DynamicsPulse-width ModulationResonant ConvertersBuck ConvertersChaos In CircuitsCharge StorageControlled Rectifier CircuitsNonlinear CircuitsPower Electronic ConvertersPulse Width Modulation TechniquesThyristor Rectifiers
The concept of chaos is applied to a variety of nonlinear power electronic circuits. With the onset of instability, the phenomena of subharmonics, quasi-periodicity, and chaos are predicted and observed. The following examples are dealt with: diodes with charge storage (with application to resonant converters); a ferroresonant circuit; a controlled thyristor rectifier circuit; and a Buck converter controlled by pulse-width modulation (PWM). The examples were chosen to model aspects of real power electronic systems. Analytical and experimental results demonstrate the complex nonlinear phenomena such as subharmonics, quasi-periodicity and chaos can arise in even the simplest systems.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Simple mathematical models with very complicated dynamics
Robert M. May · Nature · 1976 · 6.9K citations
Universal behavior in nonlinear systems
Mitchell J. Feigenbaum · Physica D Nonlinear Phenomena · 1983 · 722 citations