edpe_2013 dubrovnik, croatia 1 problem of obtaining boost converter bifurcation model for hysteretic...
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EDPE_2013 Dubrovnik, Croatia 1
Problem of Obtaining Boost Converter Bifurcation Model for Hysteretic Behaviour
Željko Stojanović
Department of Electrical Engineering
Polytechnic of Zagreb
Denis Pelin, Krešimir Predrijevac
Faculty of Electrical Engineering
University of Osijek
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Contents
Introduction Boost converter physical realisation and measurements Simulation Comparison of simulation results and measurements Two-parameters bifurcation diagrams Conclusions
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Boost converter physical realisation and measurements
Schematic of the experimental boost converter
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Boost converter physical realisation and measurements
Increasing of input voltage EDecreasing of input voltage E
Steady-state response
Input voltage E [V]
Period-1 17.0–22.5Period-2 22.5–23.1Period-6 23.10–23.45Chaos 23.45–24.28Period-4 24.28–24.55Period-8 24.55–24.64Chaos 24.64–25.57Period-5 25.57–25.86Chaos 25.86–26.80Period-6 26.80–26.98Chaos >26.98
Steady-state response
Input voltage E [V]
Period-3 17.18–23.02Period-6 23.02–23.38Chaos 23.38–24.02Period-4 24.02–24.39Period-8 24.39–24.59Chaos 24.59–25.53Period-5 25.53–25.83Chaos 25.83–26.62Period-6 26.62–26.98
Steady state responses
The same sequence for both directions of change
Different sequence for both directions of change =>
Hysteresis!
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Simulation
E Rd
L R
Cd
V2
V1
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Simulation
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Comparison of simulation results and measurements
Correspondence of measured and simulated steady-states for decreasing of input voltage E.
Steady-state response
Input voltage E [V]
Measuring Simulation
Period-3 to 23 V 22.5–23.05Period-6 23.00–23.27 23.03–23.22Period-9 – 23.22–23.32Chaos 23.27–24.07 23.32–24.06
Period-4 24.07–24.42 24.06–24.32Period-8 24.42–24.49 24.32–24.50Chaos 24.49–25.47 24.50–25.46
Period-5 25.47–25.68 25.46–25.70Chaos 25.68–26.63 25.70–26.66
Period-6 26.63–26.85 26.66–26.76Chaos 26.85–27 26.76–27
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Comparison of simulation results and measurements
One-parameter bifurcation diagram inductor current versus input voltage.
Correspondence of measured and simulated results for decreasing of input voltage E.
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Two-parameters bifurcation diagrams
Two-parameters bifurcation diagram of input voltage and initial inductor current with constant initial capacitor voltage.
Simulation results does not match measured results.
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Two-parameters bifurcation diagrams
Two-parameters bifurcation diagram of initial capacitor voltage and initial inductor current with constant input voltage.
Simulation results does not match measured results.
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Conclusions
Bifurcation model is valid for only one direction of input voltage varying.
Change of two bifurcation parameter at the same time does not improve bifurcation model.
The next step is investigation of influence of ramp input voltage on bifurcation model.
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Thank you!
Questions please.