1. F. Dörfler. Dynamics and Control in Power Grids and Complex Oscillator Networks. Ph.D. thesis, University of California at Santa Barbara, September 2013. Keyword(s): Power Networks, Microgrids, Complex Oscillator Networks, Algebraic Graph Theory, Microgrids. [Abstract] [bibtex-entry]

1. Y. Khayat, Q. Shafiee, R. Heydari, T. Dragicevic, M. Naderi, J. W. Simpson-Porco, F. Dörfler, M. Fathi, F. Blaabjerg, and H. Bevrani. On the Secondary Control Architectures of AC Microgrids: A Survey. IEEE Transactions on Power Electronics, 35(6):6482-6500, 2019. Keyword(s): Microgrids, Distributed Control Algorithms, Frequency Control, Voltage Control, Power Electronics Control. [Abstract] [bibtex-entry]



2. C. De Persis, E.R.A. Weitenberg, and F. Dörfler. A power consensus algorithm for DC microgrids. Automatica, 89:364-375, February 2018. Keyword(s): Power Networks, DC Grids, Distributed Control Algorithms, Complex Polynomial Networks, Nonlinear Control Design. [bibtex-entry]



3. J. Schiffer, F. Dörfler, and E. Fridmann. Robustness of Distributed Averaging Control in Power Systems: Time Delays & Dynamic Communication Topology. Automatica, 80:261-271, 2017. Keyword(s): Power Networks, Nonlinear Control Design, Microgrids, Frequency Control. [bibtex-entry]



4. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Voltage Stabilization in Microgrids via Quadratic Droop Control. IEEE Transactions on Automatic Control, 3(62):1239 - 1253, 2017. Keyword(s): Microgrids, Complex Polynomial Networks, DC Grids, Voltage Control. [bibtex-entry]



5. M. Sinha, F. Dörfler, B. Johnson, and S. Dhople. Uncovering Droop Control Laws Embedded Within the Nonlinear Dynamics of Van der Pol Oscillators. IEEE Transactions on Control of Network Systems, 2(4):347 - 358, 2017. Keyword(s): Microgrids, Complex Oscillator Networks, Power Electronics Control, Low-Inertia Systems, Virtual Oscillator Control. [bibtex-entry]



6. F. Dörfler, J. W. Simpson-Porco, and F. Bullo. Breaking the Hierarchy: Distributed Control & Economic Optimality in Microgrids. IEEE Transactions on Control of Network Systems, 3(3):241-253, 2016. Keyword(s): Microgrids, Distributed Control Algorithms, Frequency Control. [Abstract] [bibtex-entry]



7. B. Johnson, M. Sinha, N. Ainsworth, F. Dörfler, and S. Dhople. Synthesizing Virtual Oscillators to Control Islanded Inverters. IEEE Transactions on Power Electronics, 31(8):6002 - 6015, 2016. Keyword(s): Microgrids, Complex Oscillator Networks, Power Electronics Control, Low-Inertia Systems, Virtual Oscillator Control. [bibtex-entry]



8. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. On Resistive Networks of Constant Power Devices. IEEE Transactions on Circuits and Systems II: Express Briefs, 62(8):811-815, 2015. Keyword(s): Microgrids, Complex Polynomial Networks, DC Grids, Voltage Control. [bibtex-entry]



9. J. W. Simpson-Porco, Q. Shafiee, F. Dörfler, J. M. Vasquez, J. M. Guerrero, and F. Bullo. Secondary Frequency and Voltage Control of Islanded Microgrids via Distributed Averaging. IEEE Transactions on Industrial Electronics, 62(15):7025 - 7038, November 2015. Keyword(s): Microgrids, Distributed Control Algorithms, Frequency Control, Voltage Control, Power Electronics Control. [Abstract] [bibtex-entry]



10. J. Zhao and F. Dörfler. Distributed Control and Optimization in DC Microgrids. Automatica, 61:18 - 26, 2015. Keyword(s): Microgrids, Distributed Control Algorithms, DC Grids. [Abstract] [bibtex-entry]



11. S. Dhople, B. Johnson, F. Dörfler, and A. Hamadeh. Synchronization of Nonlinear Circuits in Dynamic Electrical Networks with General Topologies. IEEE Transactions on Circuits and Systems I: Regular Papers, 61(9):2677-2690, September 2014. Keyword(s): Complex Oscillator Networks, Microgrids, Algebraic Graph Theory, Power Electronics Control, Virtual Oscillator Control. [Abstract] [bibtex-entry]



12. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Synchronization and Power Sharing for Droop-Controlled Inverters in Islanded Microgrids. Automatica, 49(9):2603-2611, 2013. Keyword(s): Complex Oscillator Networks, Microgrids, Distributed Control Algorithms, Frequency Control, Power Electronics Control. [Abstract] [bibtex-entry]

1. T. Jouini, D. Gross, and F. Dörfler. Local Synchronization of Two DC/AC Converters Via Matching Control. In European Control Conference, pages 2996-3001, 2019. Keyword(s): Power Networks, Low-Inertia Systems, Complex Oscillator Networks, Microgrids, Power Electronics Control. [bibtex-entry]



2. B. K. Poolla, J. W. Simpson-Porco, N. Monshizadeh, and F. Dörfler. Quadratic Performance Analysis of Secondary Frequency Controllers. In Proceedings of the 55th IEEE Conference on Decision and Control, pages 7492-7497, 2019. Keyword(s): Frequency Control, Microgrids, Power Networks, Distributed Control Algorithms, Online Optimization. [bibtex-entry]



3. M. Sinha, F. Dörfler, B. Johnson, and S. Dhople. Stabilizing Phase-balanced or Phase-synchronized Trajectories of Liénard Oscillators in Connected Electrical Networks. In Allerton Conf. on Communications, Control and Computing, October 2018. Keyword(s): Complex Oscillator Networks, Microgrids, Power Networks, Virtual Oscillator Control, Nonlinear Control Design, Power Electronics Control. [bibtex-entry]



4. M. Sinha, F. Dörfler, B. Johnson, and S. Dhople. Synchronization of Liénard Oscillators in Heterogenous Electrical Networks. In Proceedings of the 4th Indian Control Conference, pages 240 - 245, January 2018. Keyword(s): Complex Oscillator Networks, Microgrids, Power Networks, Virtual Oscillator Control, Nonlinear Control Design, Power Electronics Control. [bibtex-entry]



5. C. De Persis, E.R.A. Weitenberg, and F. Dörfler. A power consensus algorithm for DC microgrids. In IFAC World Congress, pages 10009-10014, 2017. Keyword(s): Power Networks, DC Grids, Distributed Control Algorithms, Complex Polynomial Networks, Nonlinear Control Design. [bibtex-entry]



6. P. Nahata, S. Mastellone, and F. Dörfler. A Decentralized Switched System Approach to Overvoltage Prevention in PV Residential Microgrids. In IFAC World Congress, pages 6630-6635, 2017. Keyword(s): Power Networks, Nonlinear Control Design, Voltage Control. [bibtex-entry]



7. P. Nahata, S. Mastellone, and F. Dörfler. Decentralized Optimal Projected Control of PV Inverters in Residential Microgrids. In IFAC World Congress, pages 6624-6629, 2017. Keyword(s): Power Networks, Nonlinear Control Design, Voltage Control. [bibtex-entry]



8. M. Sinha, F. Dörfler, B. Johnson, and S. Dhople. Phase Balancing in Globally Connected Networks of Liénard Oscillators. In Proceedings of the 56th IEEE Conference on Decision and Control, pages 595 - 600, December 2017. Keyword(s): Complex Oscillator Networks, Microgrids, Power Networks, Virtual Oscillator Control. [bibtex-entry]



9. C. De Persis, N. Monshizadeh, J. Schiffer, and F. Dörfler. A Lyapunov approach to control of microgrids with a network-preserved differential-algebraic model. In Proceedings of the 55th IEEE Conference on Decision and Control, pages 2595-2600, December 2016. Keyword(s): Microgrids, Power Networks, Frequency Control, Voltage Control. [bibtex-entry]



10. T. Jouini, C. Arghir, and F. Dörfler. Grid-Friendly Matching of Synchronous Machines by Tapping into the DC Storage. In 6th IFAC Workshop on Distributed Estimation and Control in Networked Systems, pages 192-197, September 2016. Keyword(s): Power Networks, Low-Inertia Systems, Complex Oscillator Networks, Microgrids, Power Electronics Control. [bibtex-entry]



11. J. Schiffer and F. Dörfler. On Stability of a Distributed Averaging PI Frequency and Active Power Controlled Differential-Algebraic Power System Model. In European Control Conference, pages 1487-1492, June 2016. Keyword(s): Microgrids, Distributed Control Algorithms, Frequency Control, Power Networks, Nonlinear Control Design. [bibtex-entry]



12. J. W. Simpson-Porco, B. K. Poolla, N. Monshizadeh, and F. Dörfler. Quadratic Performance of Primal-Dual Methods with Application to Secondary Frequency Control of Power Systems. In Proceedings of the 55th IEEE Conference on Decision and Control, pages 1840-1845, December 2016. Keyword(s): Frequency Control, Microgrids, Power Networks, Distributed Control Algorithms, Online Optimization. [bibtex-entry]



13. M. Sinha, F. Dörfler, B. Johnson, and S. Dhople. Synchronization of Lienard-type oscillators in Uniform Electrical Networks. In American Control Conference, 2016. Keyword(s): Complex Oscillator Networks, Microgrids, Power Networks, Virtual Oscillator Control. [bibtex-entry]



14. M. Sinha, F. Dörfler, B. Johnson, and S. Dhople. Virtual Oscillator Control Subsumes Droop Control. In American Control Conference, Chicago, IL, pages 2353-2358, July 2015. Keyword(s): Microgrids, Complex Oscillator Networks, Power Electronics Control, Power Networks, Virtual Oscillator Control. [bibtex-entry]



15. M. Sinha, B. Johnson, N. Ainsworth, F. Dörfler, and S. Dhople. Nonlinear Supersets to Droop Control. In IEEE Workshop on Control and Modeling for Power Electronics (COMPEL), Vancouver, BC, July 2015. Keyword(s): Microgrids, Complex Oscillator Networks, Virtual Oscillator Control, Power Electronics Control, Power Networks. [bibtex-entry]



16. J. Zhao and F. Dörfler. Distributed Control, Load Sharing, and Dispatch in DC Microgrids. In American Control Conference, Chicago, IL, pages 3304-3309, July 2015. Keyword(s): Microgrids, Distributed Control Algorithms, DC Grids. [bibtex-entry]



17. C. Zhao, E. Mallada, and F. Dörfler. Distributed Frequency Control for Stability and Economic Dispatch in Power Networks. In American Control Conference, Chicago, IL, pages 2359-2364, July 2015. Keyword(s): Microgrids, Power Networks, Distributed Control Algorithms, Frequency Control. [bibtex-entry]



18. F. Dörfler, S. Dhople, B. Johnson, and A. Hamadeh. Synchronization of Nonlinear Circuits in Dynamic Electrical Networks. In European Control Conference, Strasbourg, France, pages 552-557, June 2014. Keyword(s): Complex Oscillator Networks, Algebraic Graph Theory, Microgrids, Virtual Oscillator Control, Power Networks. [bibtex-entry]



19. F. Dörfler, J. W. Simpson-Porco, and F. Bullo. Plug-and-Play Control and Optimization in Microgrids. In IEEE Conf. on Decision and Control, Los Angeles, CA, USA, pages 211-216, December 2014. Keyword(s): Microgrids, Complex Oscillator Networks, Distributed Control Algorithms, Frequency Control. [bibtex-entry]



20. B. Gentile, J. W. Simpson-Porco, F. Dörfler, S. Zampieri, and F. Bullo. On Reactive Power Flow and Voltage Stability in Microgrids. In American Control Conference, Portland, OR, pages 759-764, June 2014. Keyword(s): Microgrids, Distributed Control Algorithms, Complex Polynomial Networks, Voltage Control. [bibtex-entry]



21. H. Bouattour, J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Further Results on Distributed Secondary Control in Microgrids. In IEEE Conf. on Decision and Control, pages 1514-1519, March 2013. Note: Extended manuscript available at http://motion.me.ucsb.edu/pdf/2013j-bsdb.pdf. Keyword(s): Microgrids, Distributed Control Algorithms, Complex Oscillator Networks, Frequency Control. [bibtex-entry]



22. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Voltage Stabilization in Microgrids via Quadratic Droop Control. In IEEE Conf. on Decision and Control, pages 7582-7589, February 2013. Keyword(s): Microgrids, Distributed Control Algorithms, Complex Polynomial Networks, Voltage Control. [bibtex-entry]



23. J. W. Simpson-Porco, F. Dörfler, Q. Shafiee, J. M. Guerrero, and F. Bullo. Stability, power sharing, & distributed secondary control in droop-controlled microgrids. In IEEE Int. Conf. on Smart Grid Communications, Vancouver, BC, Canada, pages 672-677, October 2013. Keyword(s): Microgrids, Distributed Control Algorithms, Complex Oscillator Networks, Power Networks, Power Electronics Control. [bibtex-entry]



24. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Droop-controlled inverters are Kuramoto oscillators. In IFAC Workshop on Distributed Estimation and Control in Networked Systems, Santa Barbara, CA, USA, pages 264-269, September 2012. Keyword(s): Microgrids, Complex Oscillator Networks. [bibtex-entry]

1. J. W. Simpson-Porco, B. K. Poolla, N. Monshizadeh, and F. Dörfler. Quadratic Performance Analysis of Secondary Frequency Controllers, 2019. Note: Available at https://arxiv.org/abs/1909.02792. Keyword(s): Frequency Control, Microgrids, Power Networks, Distributed Control Algorithms, Online Optimization. [bibtex-entry]



2. C. De Persis, E.R.A. Weitenberg, and F. Dörfler. A power consensus algorithm for DC microgrids, 2016. Note: Available at https://arxiv.org/abs/1611.04192. Keyword(s): Power Networks, DC Grids, Distributed Control Algorithms, Nonlinear Control Design. [bibtex-entry]



3. J. Schiffer, F. Dörfler, and E. Fridmann. Cyber-Physical Aspects of Distributed Averaging Control in Power Systems: Time Delays & Dynamic Communication Topology, July 2016. Note: Available at http://arxiv.org/abs/1607.07743. Keyword(s): Power Networks, Nonlinear Control Design, Microgrids, Frequency Control. [bibtex-entry]



4. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. On Resistive Networks of Constant Power Devices, March 2015. Note: Available at http://arxiv.org/pdf/1503.04769v1.pdf. Keyword(s): Microgrids, Complex Polynomial Networks, DC Grids, Voltage Control. [bibtex-entry]



5. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Voltage Stabilization in Microgrids via Quadratic Droop Control, July 2015. Note: Available at http://arxiv.org/pdf/1507.00431v1.pdf. Keyword(s): Microgrids, Complex Polynomial Networks, DC Grids. [bibtex-entry]



6. J. W. Simpson-Porco, Q. Shafiee, F. Dörfler, J. M. Vasquez, J. M. Guerrero, and F. Bullo. Distributed Averaging Controllers for Secondary Frequency and Voltage Control in Microgrids, April 2015. Note: Available at http://arxiv.org/abs/1504.06784. Keyword(s): Microgrids, Distributed Control Algorithms, Frequency Control, Voltage Control, Power Electronics Control. [bibtex-entry]



7. F. Dörfler, J. W. Simpson-Porco, and F. Bullo. Breaking the Hierarchy: Distributed Control & Economic Optimality in Microgrids, January 2014. Note: Available at http://arxiv.org/abs/1401.1767. Keyword(s): Microgrids, Distributed Control Algorithms, Power Electronics Control, Power Networks. [Abstract] [bibtex-entry]



8. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Voltage Stability of Droop-Controlled Microgrids (Extended Abstract), July 2014. Note: Available at http://people.ee.ethz.ch/ floriand/docs/Articles/SimpsonPorco_MTNS_2014.pdf. Keyword(s): Complex Polynomial Networks, Microgrids, Voltage Control. [bibtex-entry]



9. M. Sinha, F. Dörfler, B. Johnson, and S. Dhople. Uncovering Droop Control Laws Embedded Within the Nonlinear Dynamics of Van der Pol Oscillators, 2014. Note: Available at http://arxiv.org/abs/1411.6973. Keyword(s): Microgrids, Complex Oscillator Networks, Virtual Oscillator Control, Power Electronics Control. [bibtex-entry]



10. S. Dhople, B. Johnson, F. Dörfler, and A. Hamadeh. Synchronization of Nonlinear Circuits in Dynamic Electrical Networks with General Topologies, October 2013. Note: Available at http://arxiv.org/abs/1310.4550. Keyword(s): Complex Oscillator Networks, Microgrids, Algebraic Graph Theory, Virtual Oscillator Control, Power Electronics Control. [bibtex-entry]



11. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Droop-controlled inverters are Kuramoto oscillators, June 2012. Note: Available at http://arxiv.org/pdf/1206.5033v1.pdf. Keyword(s): Complex Oscillator Networks, Microgrids. [bibtex-entry]



12. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Synchronization and Power Sharing for Droop-Controlled Inverters in Islanded Microgrids, November 2012. Note: Available at http://arxiv.org/abs/1206.5033. Keyword(s): Microgrids, Complex Oscillator Networks, Distributed Control Algorithms, Frequency Control, Power Networks. [bibtex-entry]

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