PX4010 Nonlinear Dynamics for Power Electronics Circuits Syllabus:
PX4010 Nonlinear Dynamics for Power Electronics Circuits Syllabus – Anna University PG Syllabus Regulation 2021
OBJECTIVES:
To understand the non linear behavior of power electronic converters.
To understand the techniques for investigation on non linear behavior of power electronic converters.
To analyse the nonlinear phenomena in DC to DC converters.
To analyse the nonlinear phenomena in AC and DC Drives.
To introduce the control techniques for control of non linear behavior in power electronic systems.
UNIT I BASICS OF NONLINEAR DYNAMICS
Basics of Nonlinear Dynamics: System, state and state space model, Vector field- Modeling of Linear, nonlinear and Linearized systems, Attractors , chaos, Poincare map, Dynamics of Discrete time system, Lyapunov Exponent, Bifurcations, Bifurcations of smooth map, Bifurcations in piece wise smooth maps, border crossing and border collision bifurcation.
UNIT II TECHNIQUES FOR INVESTIGATION OF NONLINEAR PHENOMENA
Techniques for experimental investigation, Techniques for numerical investigation, Computation of averages under chaos, Computations of spectral peaks, Computation of the bifurcation and analyzing stability.
UNIT III NONLINEAR PHENOMENA IN DC-DC CONVERTERS
Border collision in the Current Mode controlled Boost Converter, Bifurcation and chaos in the Voltage controlled Buck Converter with latch, Bifurcation and chaos in the Voltage controlled Buck Converter without latch, Bifurcation and chaos in Cuk Converter. Nonlinear phenomenon in the inverter under tolerance band control
UNIT IV NONLINEAR PHENOMENA IN DRIVES
Nonlinear Phenomenon in Current controlled and voltage controlled DC Drives, Nonlinear Phenomenon in PMSM Drives.
UNIT V CONTROL OF CHAOS
Hysteresis control, Sliding mode and switching surface control, OGY Method, Pyragas method, Time Delay control. Application of the techniques to the Power electronics circuit and drives.
TOTAL : 45 PERIODS
OUTCOMES:
CO1 Ability to understand, model and simulate chaotic behavior in power electronic systems.
CO2 Ability to investigate the various techniques of non linear phenomena
CO3 Ability to analyze the nonlinear phenomena in DC-DC converter
CO4 Ability to analyze the non linear phenomena in Drives
CO5 Ability to mitigate chaotic behavior noticed in power system.
TEXT BOOKS:
1. George C. Vargheese, July 2001 Wiley – IEEE Press S Banerjee, Nonlinear Phenomenon Power Electronics, IEEE Press
2. Steven H Strogatz, Nonlinear Dynamics and Chaos, Westview Press
REFERENCES:
1. C.K.TSE Complex Behaviour of Switching Power Converters, CRC Press,2003
2. Alfredo Medio, Marji Lines, “Non Linear Dynamics: A primer”, Cambridge University Press, 2003.