Design Space Analysis and ρ – ρ Pareto Optimization of LC Output Filters for Switch-Mode AC Power Sources

In this study, the design space (DS) concept is refined and utilized to design the output filter of a 10-kW, four-quadrant, three-phase, switch-mode controllable AC power source (CPS). The DS concept is based on the simultaneous consideration of multiple criteria that are derived from application-oriented specifications for the CPS regarding quality and transient response of the output voltage, and limited reactive power demand of the output filter. In this paper, the output filter of the studied CPS needs to satisfy six different criteria, which, in the case of a single-stage LC filter, leads to bounds on the values of L and C that can be indicated by boundary curves in an L-C plane. The intersection set of all boundary curves defines the DS, in which all six specifications can be fulfilled. For the considered requirements, it is shown that the DS is empty for a single-stage LC filter, but exists for a two-stage LC filter, which is therefore employed as an output filter of the CPS. To fully exploit the 4D DS of the two-stage LC filter, a multi objective optimization, resulting in the power density–efficiency Pareto front, is performed to determine the most compact and/or most efficient filter design among all possible filter realizations with parameters in the DS. From the outcome of this optimization, the filter design with the highest power density of 14.6 kW/dm (239 W/in ), for an efficiency of 99.4%, is realized in hardware. Finally, all six specifications for the CPS are successfully verified by experimental measurements.

[1]  Johann W. Kolar,et al.  Design Guidelines for Interleaved Single-Phase Boost PFC Circuits , 2009, IEEE Transactions on Industrial Electronics.

[2]  Ming Cheng,et al.  Modeling, Analysis, and Design of Multifunction Grid-Interfaced Inverters With Output LCL Filter , 2014, IEEE Transactions on Power Electronics.

[3]  Tsai-Fu Wu,et al.  Extended Application of D-${\bf Σ}$ Digital Control to a Single-Phase Bidirectional Inverter With an LCL Filter , 2015, IEEE Transactions on Power Electronics.

[4]  Charles R. Sullivan,et al.  Accurate prediction of ferrite core loss with nonsinusoidal waveforms using only Steinmetz parameters , 2002, 2002 IEEE Workshop on Computers in Power Electronics, 2002. Proceedings..

[5]  Johann W. Kolar,et al.  Comparison of Prediction Techniques to Compensate Time Delays Caused by Digital Control of a Three-Phase Buck-Type PWM Rectifier System , 2008, IEEE Transactions on Industrial Electronics.

[6]  Robert W. Erickson,et al.  Optimal single resistors damping of input filters , 1999, APEC '99. Fourteenth Annual Applied Power Electronics Conference and Exposition. 1999 Conference Proceedings (Cat. No.99CH36285).

[7]  Friedrich W. Fuchs,et al.  Laboratory type PWM grid emulator for generating disturbed voltages for testing grid connected devices , 2009, 2009 13th European Conference on Power Electronics and Applications.

[8]  Alex Van den Bossche,et al.  Inductors and Transformers for Power Electronics , 2005 .

[9]  J. W. Kolar,et al.  Multiobjective Optimization of Ultraflat Magnetic Components With PCB-Integrated Core , 2013, IEEE Transactions on Power Electronics.

[10]  Johann W. Kolar,et al.  Volume minimization of the main DM/CM EMI filter stage of a bidirectional three-phase three-level PWM rectifier system , 2013, 2013 IEEE Energy Conversion Congress and Exposition.

[11]  Hans Ertl,et al.  EMI Filter Design for a 1 MHz, 10 kW Three-Phase/Level PWM Rectifier , 2011, IEEE Transactions on Power Electronics.

[12]  J. Ackermann.  Parameter space design of robust control systems , 1980 .

[13]  Johann W. Kolar,et al.  Comprehensive Design and Optimization of a High-Power-Density Single-Phase Boost PFC , 2009, IEEE Transactions on Industrial Electronics.

[14]  D. O. Boillat,et al.  Modeling and experimental analysis of a Coupling Inductor employed in a high performance AC power source , 2012, 2012 International Conference on Renewable Energy Research and Applications (ICRERA).

[15]  Alexander Viehweider,et al.  Power hardware in the loop simulation with feedback current filtering for electric systems , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[16]  V. Staudt,et al.  Power-electronic-based machine emulator for high-power high-frequency drive converter test , 2010, 2010 IEEE Vehicle Power and Propulsion Conference.

[17]  Ming Wang,et al.  Calculating Complete and Exact Pareto Front for Multiobjective Optimization: A New Deterministic Approach for Discrete Problems , 2013, IEEE Transactions on Cybernetics.

[18]  DesignMiroslav D. Lutovac,et al.  Design Space Approach to Advanced Filter Design , 1997 .

[19]  Hoay Beng Gooi,et al.  Jump and Shift Method for Multi-Objective Optimization , 2011, IEEE Transactions on Industrial Electronics.

[20]  Ganapati Panda,et al.  A Multiobjective Optimization Based Fast and Robust Design Methodology for Low Power and Low Phase Noise Current Starved VCO , 2014, IEEE Transactions on Semiconductor Manufacturing.

[21]  Nicola Femia,et al.  Optimal Buck Converter Output Filter Design for Point-of-Load Applications , 2010, IEEE Transactions on Industrial Electronics.

[22]  J. W. Kolar,et al.  Design and Implementation of a Highly Efficient Three-Level T-Type Converter for Low-Voltage Applications , 2013, IEEE Transactions on Power Electronics.

[23]  Hiroaki Mukaidani,et al.  Pareto Optimal Strategy for Stochastic Weakly Coupled Large Scale Systems With State Dependent System Noise , 2009, IEEE Transactions on Automatic Control.

[24]  S. Bacha,et al.  Emulation of Fuel Cell systems , 2010, The XIX International Conference on Electrical Machines - ICEM 2010.

[25]  Carsten Heising,et al.  Analysis of Single-Phase 50-kW 16.7-Hz PI-Controlled Four-Quadrant Line-Side Converter Under Different Grid Characteristics , 2010, IEEE Transactions on Industrial Electronics.

[26]  Philippe Dessante,et al.  Virtual prototyping and pre-sizing methodology for buck DC-DC converters using genetic algorithms , 2012 .

[27]  S. Turner,et al.  Development of a high bandwidth multi-phase multilevel power supply for electricity supply network emulation , 2005, 2005 European Conference on Power Electronics and Applications.

[28]  T. Friedli,et al.  Comparative evaluation of control schemes for a high bandwidth three-phase AC source , 2012, Proceedings of The 7th International Power Electronics and Motion Control Conference.

[29]  T. Friedli,et al.  Analysis of the design space of single-stage and two-stage LC output filters of switched-mode AC power sources , 2012, 2012 IEEE Power and Energy Conference at Illinois.

[30]  Dragan Maksimovic,et al.  Specifications-driven design space boundaries for Point-of-Load converters , 2011, 2011 Twenty-Sixth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[31]  J. W. Kolar,et al.  Optimal design of LCL harmonic filters for three-phase PFC rectifiers , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[32]  P. Zumel,et al.  Design space boundaries of linear compensators applying the k-factor method , 2013, 2013 Twenty-Eighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[33]  Minwon Park,et al.  Design of a grid-simulator for a transient analysis of grid-connected renewable energy system , 2010, 2010 International Conference on Electrical Machines and Systems.

[34]  S. Waffler,et al.  Performance trends and limitations of power electronic systems , 2010, 2010 6th International Conference on Integrated Power Electronics Systems.

[35]  V. Staudt,et al.  Machine emulator: Power-electronics based test equipment for testing high-power drive converters , 2010, 2010 12th International Conference on Optimization of Electrical and Electronic Equipment.

[36]  Kwang-Yong Kim,et al.  Design Optimization of Manifold Microchannel Heat Sink Through Evolutionary Algorithm Coupled With Surrogate Model , 2013, IEEE Transactions on Components, Packaging and Manufacturing Technology.

[37]  Mingbo Liu,et al.  Piecewise Normalized Normal Constraint Method Applied to Minimization of Voltage Deviation and Active Power Loss in an AC–DC Hybrid Power System , 2015, IEEE Transactions on Power Systems.

[38]  M. Steurer,et al.  Evaluating dynamic performance of modern electric drives via power-hardware-in-the-loop simulation , 2008, 2008 IEEE International Symposium on Industrial Electronics.

[39]  J. Muhlethaler,et al.  Modeling and multi-objective optimization of inductive power components , 2012 .

[40]  Richard S. Zhang,et al.  A grid simulator with control of single-phase power converters in D-Q rotating frame , 2002, 2002 IEEE 33rd Annual IEEE Power Electronics Specialists Conference. Proceedings (Cat. No.02CH37289).

[41]  Johann W. Kolar,et al.  The Essence of Three-Phase PFC Rectifier Systems—Part II , 2013, IEEE Transactions on Power Electronics.

[42]  Johann W. Kolar,et al.  Modeling and Pareto Optimization of Microfabricated Inductors for Power Supply on Chip , 2013, IEEE Transactions on Power Electronics.

[43]  Humberto Pinheiro,et al.  Generalised design methodology of second-order filters for voltage-source inverters with space-vector modulation , 2006 .

[44]  Yerramreddy Srinivasa Rao,et al.  Real-Time Electrical Load Emulator Using Optimal Feedback Control Technique , 2010, IEEE Transactions on Industrial Electronics.

[45]  J.W. Kolar,et al.  Differential mode EMC input filter design for three-phase AC-DC-AC sparse matrix PWM converters , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[46]  D. O. Boillat,et al.  Comparative evaluation of multi-loop control schemes for a high-bandwidth AC power source with a two-stage LC output filter , 2012, 2012 International Conference on Renewable Energy Research and Applications (ICRERA).

[47]  Katsuya Tachibana,et al.  WT5000 Precision Power Analyzer , 2004 .

[48]  Scalability and Design-Space Analysis of a 1T-1MTJ Memory Cell for STT-RAMs , 2012, IEEE Transactions on Electron Devices.

[49]  S. B. Dewan,et al.  Optimum Filter Design for a Single-Phase Solid-State UPS System , 1979, IEEE Transactions on Industry Applications.

[50]  Vincent Besson,et al.  An interactive parameter space method for robust performance in mixed sensitivity problems , 1999, IEEE Trans. Autom. Control..

[51]  Johann W. Kolar,et al.  Integrated isolation and voltage balancing link of 3-phase 3-level PWM rectifier and inverter systems , 2014, 2014 International Power Electronics Conference (IPEC-Hiroshima 2014 - ECCE ASIA).

[52]  Robert W. Erickson,et al.  Design of EMI Filters Having Low Harmonic Distortion in High-Power-Factor Converters , 2014, IEEE Transactions on Power Electronics.