1. X. He and F. Dörfler. Passivity and Decentralized Stability Conditions for Grid-Forming Converters. IEEE Transactions on Power Systems, 39(3):5447-5450, October 2024. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



2. X. He, L. Huang, I. Subotic, V. Häberle, and F. Dörfler. Quantitative Stability Conditions for Grid-Forming Converters With Complex Droop Control. IEEE Transactions on Power Electronics, 39(9):10834-10852, October 2024. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



3. F. Dörfler and D. Gross. Control of Low-Inertia Power Systems. Annual Review of Control, Robotics, and Autonomous Systems, 6(1), May 2023. Keyword(s): Power Electronics Control, Low-Inertia Systems, Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Virtual Oscillator Control. [bibtex-entry]



4. X. He, V. Häberle, I. Subotic, and F Dörfler. Nonlinear Stability of Complex Droop Control in Converter-Based Power Systems. IEEE Control Systems Letters, 7:1327-1332, 2023. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



5. X. He, V. Häberle, and F Dörfler. Complex-Frequency Synchronization of Converter-Based Power Systems. August 2022. Note: To appear. Available at https://arxiv.org/abs/2208.13860. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



6. I. Subotic, D. Gross, M. Colombino, and F. Dörfler. A Lyapunov framework for nested dynamical systems on multiple time scales with application to converter-based power systems. IEEE Transactions on Automatic Control, 66(12):5909-5924, December 2021. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



7. M. Colombino, D. Gross, J.S. Brouillon, and F. Dörfler. Global phase and magnitude synchronization of coupled oscillators with application to the control of grid-forming power inverters. IEEE Transactions on Automatic Control, 64(11):4496 - 4511, February 2019. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



8. D. Gross, M. Colombino, J.S. Brouillon, and F. Dörfler. The effect of transmission-line dynamics on grid-forming dispatchable virtual oscillator control. IEEE Transactions on Control of Network Systems, 6(3):1148-1160, September 2019. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Virtual Oscillator 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. 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]



10. 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]



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]

1. E. Baron Prada, A. Anta, M. Markus, and F. Dörfler. $H_\infty$-Based Double Grid Forming Controller of Multi-Modular Converters in a Hybrid AC/DC Grid. In IEEE 24th Workshop on Control and Modeling for Power Electronics (COMPEL), 2023. Keyword(s): Low-Inertia Systems, Power Networks, Power Electronics Control, Virtual Oscillator Control, Nonlinear Control Design. [bibtex-entry]



2. A. Tayyebi, A. Anta, and F. Dörfler. Almost Globally Stable Hybrid Grid-Forming Angle Control. In IEEE Conference on Decision and Control, pages 830-835, 2020. Keyword(s): Low-Inertia Systems, Power Networks, Power Electronics Control, Virtual Oscillator Control, Nonlinear Control Design. [bibtex-entry]



3. G. Seo, I. Subotic, B. Johnson, M. Colombino, D. Gross, and F. Dörfler. Dispatchable Virtual Oscillator Control for Decentralized Inverter-Dominant Power Systems -- Analysis of Droop Characteristic and Verification. In Applied Power Electronics Conference (APEC), pages 561-566, 2019. Keyword(s): Power Networks, Distributed Control Algorithms, Low-Inertia Systems, Complex Oscillator Networks, Virtual Oscillator Control, Power Electronics Control. [bibtex-entry]



4. J.S. Brouillon, M. Colombino, D. Gross, and F. Dörfler. The effect of transmission-line dynamics on a globally synchronizing controller for power inverters. In European Control Conference, 2018. Keyword(s): Power Networks, Distributed Control Algorithms, Low-Inertia Systems, Complex Oscillator Networks, Virtual Oscillator Control, Power Electronics Control. [bibtex-entry]



5. 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]



6. 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]



7. A. Tayyebi, Z. Miletic, F. Dörfler, F. Kupzog, and W. Hribernik. Grid-Forming Converters -- Inevitability, Control Strategies and Challenges in Future Grid Applications. In International Conference on Electricity Distribution (CIRED), 2018. Keyword(s): Low-Inertia Systems, Power Networks, Power Electronics Control, Virtual Oscillator Control, Nonlinear Control Design. [bibtex-entry]



8. M. Colombino, D. Gross, and F. Dörfler. Global phase and voltage synchronization for power inverters: a decentralized consensus-inspired approach. In Proceedings of the 56th IEEE Conference on Decision and Control, pages 5690 - 5695, December 2017. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Virtual Oscillator Control, Power Electronics Control. [bibtex-entry]



9. 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]



10. 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]



11. 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]



12. 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]



13. 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]

1. X. He and F Dörfler. Passivity and Decentralized Stability Conditions for Grid-Forming Converters, October 2023. Note: Available at https://arxiv.org/abs/2310.09935. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



2. X. He, L. Huang, I. Subotic, V. Häberle, and F Dörfler. Quantitative Stability Conditions for Grid-Forming Converters With Complex Droop Control, October 2023. Note: Available at https://arxiv.org/abs/2310.09933. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



3. X. He, V. Häberle, and F Dörfler. Complex-Frequency Synchronization of Converter-Based Power Systems, August 2022. Note: Available at https://arxiv.org/abs/2208.13860. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



4. X. He, V. Häberle, I. Subotic, and F Dörfler. Nonlinear Stability of Complex Droop Control in Converter-Based Power Systems, 2022. Note: Available at https://arxiv.org/abs/2210.16288. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



5. I. Subotic, D. Gross, M. Colombino, and F. Dörfler. A Lyapunov framework for nested dynamical systems on multiple time scales with application to converter-based power systems, November 2019. Note: Available at https://arxiv.org/abs/1911.08945. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Low-Inertia Systems, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



6. D. Gross, M. Colombino, J.S. Brouillon, and F. Dörfler. The effect of transmission-line dynamics on grid-forming dispatchable virtual oscillator control, 2018. Note: Available at https://arxiv.org/abs/1802.08881. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Power Electronics Control, Virtual Oscillator Control. [bibtex-entry]



7. G. Seo, I. Subotic, B. Johnson, M. Colombino, D. Gross, and F. Dörfler. Dispatchable Virtual Oscillator Control for Decentralized Inverter-Dominant Power Systems -- Analysis of Droop Characteristic and Verification, November 2018. Note: Available at https://arxiv.org/abs/1811.08842. Keyword(s): Power Networks, Distributed Control Algorithms, Low-Inertia Systems, Complex Oscillator Networks, Virtual Oscillator Control, Power Electronics Control. [bibtex-entry]



8. M. Colombino, D. Gross, J.S. Brouillon, and F. Dörfler. Global phase and magnitude synchronization of coupled oscillators with application to the control of grid-forming power inverters, October 2017. Note: Available at https://arxiv.org/abs/1710.00694. Keyword(s): Power Networks, Nonlinear Control Design, Complex Oscillator Networks, Power Electronics Control, Virtual Oscillator 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]

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