Regulation of dynamical systems to optimal solutions of semidefinite programs: Algorithms and applications to AC optimal power flow

Proceedings of the American Control Conference

Volumn 2015-July, Issue , 2015, Pages 2087-2092

  Dall'Anese, Emiliano ^a   Dhople, Sairaj V ^b   Giannakis, Georgios B ^b  

^a NATIONAL RENEWABLE ENERGY LABORATORY   (United States)

^b University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC GENERATORS; APPLICATION PROGRAMS; CONTROLLERS; DYNAMICAL SYSTEMS; ELECTRIC INVERTERS; FEEDBACK CONTROL; NONLINEAR CONTROL SYSTEMS; NONLINEAR DYNAMICAL SYSTEMS;

AC OPTIMAL POWER FLOWS; FEEDBACK CONTROLLER; GLOBAL CONVER-GENCE; OPTIMAL OPERATING POINT; OPTIMIZATION PROBLEMS; POWER ELECTRONIC INVERTERS; SEMIDEFINITE PROGRAMS; TIME SCALE SEPARATION;

ELECTRIC LOAD FLOW;

EID: 84940921584     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2015.7171041     Document Type: Conference Paper

References (21)

1. K. J. Arrow, L. Hurwicz, and H. Uzawa, Studies in Linear and Nonlinear Programming. Stanford, CA: Stanford University Press, 1958.
2. D. DeHaan and M. Guay, "Extremum seeking control of nonlinear systems with parametric uncertainties and state constraints," in Proc. of American Control Conf., Boston, MA, June 2004.
3. J. Wang and N. Elia, "A control perspective for centralized and distributed convex optimization," in Proc. of 50th IEEE Conf. on Decision and Control, Orlando, FL, Dec. 2011.
4. F. D. Brunner, H.-B. Durr, and C. Ebenbauer, "Feedback design for multi-agent systems: A saddle point approach," in Proc. of 51st IEEE Conf. on Decision and Control, Maui, HI, Dec 2012, pp. 3783-3789.
5. A. Jokić, M. Lazar, and P. Van den Bosch, "On constrained steady-state regulation: Dynamic KKT controllers," IEEE Trans. Auto. Contr., Vol. 54, no. 9, pp. 2250-2254, Sept 2009.
6. K. Hirata, J. P. Hespanha, and K. Uchida, "Real-time pricing leading to optimal operation under distributed decision makings," in Proc. of American Control Conf., Portland, OR, June 2014.
7. X. Ma and N. Elia, "A distributed continuous-time gradient dynamics approach for the active power loss minimizations," in Proc. of 51st Annual Allerton Conf. on Commun., Control, and Comp., UIUC, IL, USA, Oct. 2013.
8. N. Li, L. Chen, C. Zhao, and S. H. Low, "Connecting automatic generation control and economic dispatch from an optimization view," in Proc. of American Control Conf., Portland, OR, June 2014.
9. L. Chen and S. You, "Reverse and forward engineering of frequency control in power networks," in Proc. of 53rd IEEE Conf. on Decision and Control, Los Angeles, CA, Dec. 2014.
10. K. Kiwiel, "Convergence of approximate and incremental subgradient methods for convex optimization," SIAM J. on Optimization, Vol. 14, no. 3, pp. 807-840, 2004.
11. A. Yazdani and R. Iravani, Voltage-Sourced Converters in Power Systems: Modeling, Control, and Applications. John Wiley & Sons, 2010.
12. J. Lavaei and S. H. Low, "Zero duality gap in optimal power flow problem," IEEE Trans. Power Syst., Vol. 1, no. 1, pp. 92-107, 2012.
13. E. Dall'Anese, H. Zhu, and G. B. Giannakis, "Distributed optimal power flow for smart microgrids," IEEE Trans. Smart Grid, Vol. 4, no. 3, pp. 1464-1475, Sep. 2013.
14. E. Dall'Anese, S. V. Dhople, and G. B. Giannakis, "Optimal dispatch of photovoltaic inverters in residential distribution systems," IEEE Trans. Sust. Energy, Vol. 5, no. 2, pp. 487-497, Apr. 2014.
15. E. Dall'Anese, S. V. Dhople, B. B. Johnson, and G. B. Giannakis, "Decentralized optimal dispatch of photovoltaic inverters in residential distribution systems," IEEE Trans. on Energy Conversion, Vol. 29, no. 4, pp. 957-967, Dec. 2014.
16. F. Dörfler, J. W. Simpson-Porco, and F. Bullo, "Breaking the hierarchy: Distributed control & economic optimality in microgrids," 2014, [Online] Available at: http://arxiv.org/pdf/1401.1767v1.pdf.
17. A. Jokić, M. Lazar, and P. Van den Bosch, "Real-time control of power systems using nodal prices," Intl. J. of Electrical Power & Energy Systems, Vol. 31, no. 9, pp. 522-530, 2009.
18. D. P. Bertsekas, A. Nedić, and A. E. Ozdaglar, Convex Analysis and Optimization. Belmont, MA: Athena Scientific, 2003.
19. G. Wachsmuth, "On LICQ and the uniqueness of lagrange multipliers," Operations Research Letters, Vol. 41, no. 1, pp. 78-80, 2013.
20. Y. C. Cheng, "Dual gradient method for linearly constrained, strongly convex, separable mathematical programming problems," J. of Optimization Theory and Applications, Vol. 53, no. 2, pp. 237-246, 1987.
21. E. Dall'Anese, S. V. Dhople, and G. B. Giannakis, "Photovoltaic inverter controllers seeking AC optimal power flow solutions," Dec. 2015, [Online] http://arxiv.org/abs/1501.00188.