Discrete-Time Modeling, Stability Analysis, and Active Stabilization of DC Distribution Systems With Multiple Constant Power Loads

This paper presents the stability analysis of dc distributed power systems with multiple converter-controlled loads. The load converters are tightly controlled, behaving as constant power loads with low-damped LC filters. The dynamic behavior of the system in high frequency range is often not studied with the classical tools based on conventional averaging techniques. However, dc power systems with the reduced size filter, and consequently, the high resonant frequency, are widely used in transportation applications. In this paper, the stability analysis of the system is established based on a discrete-time model of the system, taking into account the switching frequency and intrinsic nonlinearities of the system model. The impacts of the filter parameters and interactions among the constant power loads are investigated with the proposed discrete-time method. Moreover, an active stabilizer is developed and included in the dynamic model of the system, in order to extend the stability margin. The theoretical observations are then validated experimentally on a laboratory hardware prototype.

[1]  A Kwasinski,et al.  Dynamic Behavior and Stabilization of DC Microgrids With Instantaneous Constant-Power Loads , 2011, IEEE Transactions on Power Electronics.

[2]  R. D. Middlebrook,et al.  Input filter considerations in design and application of switching regulators. , 1976 .

[3]  S. Pierfederici,et al.  Study of a Hybrid Fixed Frequency Current Controller Suitable for DC–DC Applications , 2008, IEEE Transactions on Power Electronics.

[4]  Marta Molinas,et al.  Discrete-time modelling, stability analysis, and active stabilization of dc distribution systems with constant power loads , 2015, 2015 IEEE Applied Power Electronics Conference and Exposition (APEC).

[5]  D. M. Vilathgamuwa,et al.  Power Buffer With Model Predictive Control for Stability of Vehicular Power Systems With Constant Power Loads , 2013, IEEE Transactions on Power Electronics.

[6]  Timothy C. Green,et al.  Dynamic Stability of a Microgrid With an Active Load , 2013, IEEE Transactions on Power Electronics.

[7]  S. R. Huddy,et al.  Amplitude Death Solutions for Stabilization of DC Microgrids With Instantaneous Constant-Power Loads , 2013, IEEE Transactions on Power Electronics.

[8]  Marta Molinas,et al.  Energy management and stabilization of a hybrid DC microgrid for transportation applications , 2016, 2016 IEEE Applied Power Electronics Conference and Exposition (APEC).

[9]  Marta Molinas,et al.  Stability analysis of hybrid AC/DC power systems for more electric aircraft , 2016, 2016 IEEE Applied Power Electronics Conference and Exposition (APEC).

[10]  B. Nahid-Mobarakeh,et al.  Control of a Hybrid Energy Source Comprising a Fuel Cell and Two Storage Devices Using Isolated Three-Port Bidirectional DC–DC Converters , 2013, IEEE Transactions on Industry Applications.

[11]  Bo Wahlberg,et al.  Stabilization of Induction Motor Drives With Poorly Damped Input Filters , 2007, IEEE Transactions on Industrial Electronics.

[12]  Yasser Abdel-Rady I. Mohamed,et al.  Linear Active Stabilization of Converter-Dominated DC Microgrids , 2012, IEEE Transactions on Smart Grid.

[13]  Bo Wen,et al.  Small-Signal Stability Analysis of Three-Phase AC Systems in the Presence of Constant Power Loads Based on Measured d-q Frame Impedances , 2015, IEEE Transactions on Power Electronics.

[14]  Junming Zhang,et al.  Stability Criterion for Cascaded System With Constant Power Load , 2013, IEEE Transactions on Power Electronics.

[15]  A Kwasinski,et al.  Quantitative Evaluation of DC Microgrids Availability: Effects of System Architecture and Converter Topology Design Choices , 2011, IEEE Transactions on Power Electronics.

[16]  Scott D. Sudhoff,et al.  Estimating Regions of Asymptotic Stability of Power Electronics Systems Using Genetic Algorithms , 2010, IEEE Transactions on Control Systems Technology.

[17]  Mesut Baran,et al.  DC distribution for industrial systems: opportunities and challenges , 2002, IEEE Technical Conference Industrial and Commerical Power Systems.

[18]  Wei Zhang,et al.  Stability Criteria for Constant Power Loads With Multistage $LC$ Filters , 2011, IEEE Transactions on Vehicular Technology.

[19]  Dylan Dah-Chuan Lu,et al.  A Novel Stabilization Method of LC Input Filter With Constant Power Loads Without Load Performance Compromise in DC Microgrids , 2015, IEEE Transactions on Industrial Electronics.

[20]  Fred C. Lee,et al.  Impedance specifications for stable DC distributed power systems , 2002 .

[21]  Ali Davoudi,et al.  Numerical state-space average-value modeling of PWM DC-DC converters operating in DCM and CCM , 2006, IEEE Transactions on Power Electronics.

[22]  Ali Emadi,et al.  Constant power loads and negative impedance instability in automotive systems: definition, modeling, stability, and control of power electronic converters and motor drives , 2006, IEEE Transactions on Vehicular Technology.

[23]  Dushan Boroyevich,et al.  Theoretical and experimental investigation of the fast- and slow-scale instabilities of a DC-DC converter , 2001 .

[24]  Babak Nahid-Mobarakeh,et al.  Nonlinear Stabilization of a DC-Bus Supplying a Constant Power Load , 2009, 2009 IEEE Industry Applications Society Annual Meeting.

[25]  Babak Nahid-Mobarakeh,et al.  Active Stabilization of DC Microgrids Without Remote Sensors for More Electric Aircraft , 2013, IEEE Transactions on Industry Applications.

[26]  M. Belkhayat,et al.  Large signal stability criteria for distributed systems with constant power loads , 1995, Proceedings of PESC '95 - Power Electronics Specialist Conference.

[27]  Ali Emadi,et al.  Active Damping in DC/DC Power Electronic Converters: A Novel Method to Overcome the Problems of Constant Power Loads , 2009, IEEE Transactions on Industrial Electronics.

[28]  B. G. Fernandes,et al.  Reduced-Order Model and Stability Analysis of Low-Voltage DC Microgrid , 2013, IEEE Transactions on Industrial Electronics.

[29]  Jon Are Suul,et al.  Small-signal stability study of the Cigré DC grid test system with analysis of participation factors and parameter sensitivity of oscillatory modes , 2014, 2014 Power Systems Computation Conference.

[30]  Alireza Khaligh,et al.  Realization of Parasitics in Stability of DC–DC Converters Loaded by Constant Power Loads in Advanced Multiconverter Automotive Systems , 2008, IEEE Transactions on Industrial Electronics.

[31]  Chi K. Tse,et al.  Complex behavior in switching power converters , 2002, Proc. IEEE.

[32]  Li Wang,et al.  Integration of Wind Power and Wave Power Generation Systems Using a DC Microgrid , 2015, IEEE Transactions on Industry Applications.

[33]  H. H. C. Iu,et al.  Bifurcation behavior in parallel-connected buck converters , 2001 .

[34]  Bulent Sarlioglu,et al.  More Electric Aircraft: Review, Challenges, and Opportunities for Commercial Transport Aircraft , 2015, IEEE Transactions on Transportation Electrification.

[35]  Marta Molinas,et al.  Centralized stabilizer for marine DC microgrid , 2013, IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society.

[36]  Seung-Ki Sul,et al.  DC-Link Voltage Stabilization for Reduced DC-Link Capacitor Inverter , 2014, IEEE Transactions on Industry Applications.

[37]  Fred C. Lee,et al.  A method of defining the load impedance specification for a stable distributed power system , 1993 .

[38]  Marta Molinas,et al.  Stability Analysis and Dynamic Performance Evaluation of a Power Electronics-Based DC Distribution System With Active Stabilizer , 2016, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[39]  Marta Molinas,et al.  A discrete-time tool to analyze the stability of weakly filtered active front-end PWM converters , 2014, 2014 IEEE Transportation Electrification Conference and Expo (ITEC).

[40]  Marta Molinas,et al.  Dynamic analysis of an on-board DC distribution system with active stabilizer , 2015, 2015 IEEE Transportation Electrification Conference and Expo (ITEC).

[41]  Juan C. Vasquez,et al.  Intelligent Distributed Generation and Storage Units for DC Microgrids—A New Concept on Cooperative Control Without Communications Beyond Droop Control , 2014, IEEE Transactions on Smart Grid.

[42]  Jian Sun,et al.  Symbolic analysis methods for averaged modeling of switching power converters , 1997 .

[43]  B. Nahid-Mobarakeh,et al.  Large-Signal Stabilization of a DC-Link Supplying a Constant Power Load Using a Virtual Capacitor: Impact on the Domain of Attraction , 2012, IEEE Transactions on Industry Applications.

[44]  Jian Sun,et al.  Impedance-Based Stability Criterion for Grid-Connected Inverters , 2011, IEEE Transactions on Power Electronics.