Stochastic Reactive Power Management in Microgrids with Renewables

IEEE Transactions on Power Systems

Volumn 30, Issue 6, 2015, Pages 3386-3395

  Kekatos, Vassilis ^a   Wang, Gang ^b   Conejo, Antonio J ^c   Giannakis, Georgios B ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

Convex relaxation; loss minimization; optimal power flow; photovoltaic inverters; reactive power compensation; stochastic approximation; voltage regulation

Indexed keywords

AMPHIBIOUS VEHICLES; ELECTRIC LOAD FLOW; ELECTRIC POWER DISTRIBUTION; ELECTRIC POWER UTILIZATION; ENERGY MANAGEMENT; LAGRANGE MULTIPLIERS; POWER MANAGEMENT; REACTIVE POWER; RELAXATION PROCESSES; SOLAR POWER GENERATION; STOCHASTIC CONTROL SYSTEMS; VOLTAGE CONTROL; VOLTAGE REGULATORS;

CONVEX RELAXATION; LOSS MINIMIZATION; OPTIMAL POWER FLOWS; PHOTOVOLTAIC INVERTERS; REACTIVE POWER COMPENSATION; STOCHASTIC APPROXIMATIONS;

STOCHASTIC SYSTEMS;

EID: 85027938483     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2014.2369452     Document Type: Article

References (40)

1. K. Turitsyn, P. Sulc, S. Backhaus, and M. Chertkov, "Options for control of reactive power by distributed photovoltaic generators," Proc. IEEE, vol. 99, no. 6, pp. 1063-1073, Jun. 2011.
2. P. M. S. Carvalho, P. F. Correia, and L. A. Ferreira, "Distributed reactive power generation control for voltage rise mitigation in distribution networks," IEEE Trans. Power Syst., vol. 23, no. 2, pp. 766-772, May 2008.
3. C. Guille and G. Gross, "A conceptual framework for the vehicleto-grid (V2G) implementation," Energy Policy, vol. 37, no. 11, pp. 4379-4390, Nov. 2009.
4. W. H. Kersting, Distribution System Modeling and Analysis. New York, NY, USA: CRC Press, 2001.
5. R. Baldick and F. Wu, "Efficient integer optimization algorithms for optimal coordination of capacitors and regulators," IEEE Trans. Power Syst., vol. 5, no. 3, pp. 805-812, Aug. 1990.
6. T. Senjyu, Y. Miyazato, A. Yona, N. Urasaki, and T. Funabashi, "Optimal distribution voltage control and coordination with distributed generation," IEEE Trans. Power Del., vol. 23, no. 2, pp. 1236-1242, Apr. 2008.
7. M. Farivar, R. Neal, C. Clarke, and S. Low, "Optimal inverter VAR control in distribution systems with high PV penetration," in Proc. IEEE Power & Energy Soc. General Meeting, San Diego, CA, USA, Jul. 2012.
8. N. Hatziargyriou, H. Asano, R. Iravani, and C. Marnay, "Microgrids," IEEE Power Energy Mag., vol. 5, no. 4, pp. 78-94, Jul. 2007.
9. K. Rogers, R. Klump, H. Khurana, A. Aquino-Lugo, and T. Overbye, "An authenticated control framework for distributed voltage support on the smart grid," IEEE Trans. Smart Grid, vol. 1, no. 1, pp. 40-47, Jun. 2010.
10. IEEE 1547 Standard for Interconnecting Distributed Resources with Electric Power Systems, IEEE Std., 2011.
11. B. Robbins, C. Hadjicostis, and A. Dominguez-Garcia, "A two-stage distributed architecture for voltage control in power distribution systems," IEEE Trans. Power Syst., vol. 28, no. 2, pp. 1470-1482, May 2013.
12. M. Baran and I. El-Markabi, "A multiagent-based dispatching scheme for distributed generators for voltage support on distribution feeders," IEEE Trans. Power Syst., vol. 22, no. 1, pp. 52-59, Feb. 2007.
13. D. Villacci, G. Bontempi, and A. Vaccaro, "An adaptive local learningbased methodology for voltage regulation in distribution networks with dispersed generation," IEEE Trans. Power Syst., vol. 21, no. 3, pp. 1131-1140, Aug. 2006.
14. S. Deshmukh, B. Natarajan, and A. Pahwa, "Voltage/VAR control in distribution networks via reactive power injection through distributed generators," IEEE Trans. Smart Grid, vol. 3, no. 3, pp. 1226-1234, Sep. 2012.
15. S. Bolognani, R. Carli, G. Cavraro, and S. Zampieri, "A distributed control strategy for optimal reactive power flow with power constraints," in Proc. IEEE Conf. Decision and Control, Florence, Italy, Dec. 2013.
16. M. Farivar, L. Chen, and S. Low, "Equilibrium and dynamics of local voltage control in distribution systems," in Proc. IEEE Conf. Decision and Control, Dec. 2013, pp. 4329-4334.
17. A. Samadi, R. Eriksson, L. Soder, B. G. Rawn, and J. C. Boemer, "Coordinated active power-dependent voltage regulation in distribution grids with PV systems," IEEE Trans. Power Del., vol. 29, no. 3, pp. 1454-1464, Jun. 2014.
18. B. Zhang, A. Dominguez-Garcia, and D. Tse, "A local control approach to voltage regulation in distribution networks," in Proc. North Amer. Power Symp., Manhattan, KS, USA, Sep. 2013.
19. S. Low, "Convex relaxation of optimal power flow - Part II: Exactness," IEEE Trans. Control Netw. Syst., vol. 1, no. 2, pp. 177-189, Jun. 2014.
20. X. Bai, H. Wei, K. Fujisawa, and Y. Yang, "Semidefinite programming for optimal power flow problems," Int. J. Elect. Power Energy Syst., vol. 30, no. 6, pp. 383-392, 2008.
21. J. Lavaei and S. Low, "Zero duality gap in optimal power flow problem," IEEE Trans. Power Syst., vol. 27, no. 1, pp. 92-107, Feb. 2012.
22. R. Jabr, "Radial distribution load flow using conic programming," IEEE Trans. Power Syst., vol. 21, no. 3, pp. 1458-1459, Aug. 2006.
23. M. Baran and F. Wu, "Optimal capacitor placement on radial distribution systems," IEEE Trans. Power Del., vol. 4, no. 1, pp. 725-734, Jan. 1989.
24. M. Baran and F. Wu, "Optimal sizing of capacitors placed on a radial distribution system," IEEE Trans. Power Del., vol. 4, no. 1, pp. 735-743, Jan. 1989.
25. M. Farivar and S. Low, "Branch flow model: Relaxations and convexification - Part I," IEEE Trans. Power Syst., vol. 28, no. 3, pp. 2554-2564, Aug. 2013.
26. S. Bose, S. Low, and K. Chandy, "Equivalence of branch flow and bus injection models," in Proc. Allerton Conf. Communicat., Control, and Comput., Monticello, IL, USA, Oct. 2012.
27. B. Zhang, A. Y. Lam, A. Dominguez-Garcia, and D. Tse, "Optimal distributed voltage regulation in power distribution networks," IEEE Trans. Power Syst. [Online]. Available: http://arxiv.org/abs/1204.5226, submitted for publication
28. V. Kekatos, G. Wang, and G. B. Giannakis, "Stochastic loss minimization for power distribution networks," in Proc. North Amer. Power Symp., Pulmann, WA, USA, Sep. 2014.
29. J. Duchi, S. Shalev-Shwartz, Y. Singer, and A. Tewari, "Composite objective mirror descent," in Proc. Conf. Learning Theory, Haifa, Israel, Jun. 2010.
30. A. P. Ruszczynski, Nonlinear Optimization. Princeton, NJ, USA: Princeton Univ. Press, 2006, vol. 13.
31. H.-D. Chiang and M. Baran, "On the existence and uniqueness of load flow solution for radial distribution power networks," IEEE Trans. Circuits Syst., vol. 37, no. 3, pp. 410-416, Mar. 1990.
32. D. P. Bertsekas, Nonlinear Programming, 2nd ed. Belmont, MA, USA: Athena Scientific, 1999.
33. E. Castillo, A. J. Conejo, C. Castillo, R. Minguez, and D. Ortigosa, "Perturbation approach to sensitivity analysis in mathematical programming," J. Optim. Theory Applicat., vol. 128, no. 1, pp. 49-74, 2006.
34. F. Alizadeh and D. Goldfarb, "Second-order cone programming," Math. Program., vol. 95, no. 1, pp. 3-51, 2003.
35. M. S. Lobo, L. Vandenberghe, S. Boyd, and H. Lebret, "Applications of second-order cone programming," Linear Algebra Applicat., vol. 284, no. 1, pp. 193-228, 1998.
36. A. Nemirovski, A. Juditsky, G. Lan, and A. Shapiro, "Robust stochastic approximation approach to stochastic programming," SIAM J. Optim., vol. 19, no. 4, pp. 1574-1609, 2009.
37. L. Gan, N. Li, U. Topcu, and S. Low, "On the exactness of convex relaxation for optimal power flow in tree networks," in Proc. IEEE Conf. Decision and Control, Maui, HI, USA, Dec. 2012, pp. 465-471.
38. S. Barker, A. Mishra, D. Irwin, E. Cecchet, P. Shenoy, and J. Albrecht, "Smart∗: An open data set and tools for enabling research in sustainable homes," in Proc. Workshop Data Mining Applications in Sustainability, Beijing, China, Aug. 2012.
39. Power Systems Test Case Archive, Univ. Washington [Online]. Available: http://www.ee.washington.edu/research/pstca/
40. L. Gan, N. Li, U. Topcu, and S. Low, "Exact convex relaxation for optimal power flow in radial networks," IEEE Trans. Autom. Control, to be published.