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The power flow equations are at the core of most of the computations for designing and operating electric power systems.
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2014
Later among the works it cites.
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Later among the works it cites.
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J. A. Acebrón, L. L. Bonilla, C. J. P. Vicente, F. Ritort, and R. Spigler, “The Kuramoto Model: A Simple Paradigm for Synchronization Phenomena,” Rev. Modern Phy. , vol. 77, no. 1, p. 137, 2005
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2006
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2009
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2009
Cited alongside, same era.
J.-B. Lasserre, Moments, Positive Polynomials and Their Applications . Imperial College Press, 2010, vol. 1
2010
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B. Lesieutre, D. Molzahn, A. Borden, and C. DeMarco, “Examining the Limits of the Application of Semidefinite Programming to Power Flow Problems,” in 49th Annu. Allerton Conf. Commun., Control, Comput. , Sept. 2011, pp. 1492–1499
2011
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H. Chen, “Cascaded Stalling of Induction Motors in Fault-Induced Delayed Voltage Recovery (FIDVR),” MS Thesis, Univ. Wisconsin–Madison, ECE Depart. , 2011. [Online]. Available: http://minds.wisconsin.edu/handle/1793/53749
2011
Cited alongside, same era.
J. Glover, M. Sarma, and T. Overbye, Power System Analysis and Design . Cengage Learning, 2011
2011
Cited alongside, same era.
H. Zhu and G. Giannakis, “Power System Nonlinear State Estimation using Distributed Semidefinite Programming,” IEEE J. Sel. Topics Signal Process. , vol. 8, no. 6, pp. 1039–1050, 2014
2014
Later among the works it cites.
D. Molzahn and I. Hiskens, “Moment-Based Relaxation of the Optimal Power Flow Problem,” 18th Power Syst. Comput. Conf. (PSCC) , 18-22 Aug. 2014
2014
Later among the works it cites.
D. Bromberg, M. Jereminov, X. Li, G. Hug, and L. Pileggi, “An Equivalent Circuit Formulation of the Power Flow Problem with Current and Voltage State Variables,” in IEEE Eindhoven PowerTech , Jun. 2015
2015
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2015
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K. Dvijotham and K. Turitsyn, “Construction of Power Flow Feasibility Sets,” arXiv:1506.07191 , 2015
2015
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R. Madani, J. Lavaei, and R. Baldick, “Convexification of Power Flow Problem over Arbitrary Networks,” IEEE 54th Ann. Conf. Decis. Contr. (CDC) , Dec. 2015
2015
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B. Lesieutre and D. Wu, “An Efficient Method to Locate All the Load Flow Solutions – Revisited,” in 53rd Annu. Allerton Conf. Commun., Control, Comput. , Sept. 29 - Oct. 2 2015
2015
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D. Mehta, N. S. Daleo, F. Dörfler, and J. D. Hauenstein, “Algebraic Geometrization of the Kuramoto Model: Equilibria and Stability Analysis,” Chaos , vol. 25, no. 5, 2015
2015
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H. Nguyen and K. Turitsyn, “Voltage Multistability and Pulse Emergency Control for Distribution System With Power Flow Reversal,” IEEE Trans. Smart Grid , no. 99, pp. 1–1, 2015
2015
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2015
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2015
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B. Zhang, A. Lam, A. Dominguez-Garcia, and D. Tse, “An Optimal and Distributed Method for Voltage Regulation in Power Distribution Systems,” IEEE Trans. Power Syst. , vol. 30, no. 4, pp. 1714–1726, Jul. 2015
2015
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C. Josz, J. Maeght, P. Panciatici, and J. Gilbert, “Application of the Moment-SOS Approach to Global Optimization of the OPF Problem,” IEEE Trans. Power Syst. , vol. 30, no. 1, pp. 463–470, Jan. 2015
2015
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D. Molzahn and I. Hiskens, “Sparsity-Exploiting Moment-Based Relaxations of the Optimal Power Flow Problem,” IEEE Trans. Power Syst. , vol. 30, no. 6, pp. 3168–3180, Nov. 2015
2015
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D. Molzahn, C. Josz, I. Hiskens, and P. Panciatici, “Solution of Optimal Power Flow Problems using Moment Relaxations Augmented with Objective Function Penalization,” IEEE 54th Ann. Conf. Decis. Control (CDC) , Dec. 2015
2015
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2015
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D. Molzahn and I. Hiskens, “Mixed SDP/SOCP Moment Relaxations of the Optimal Power Flow Problem,” in IEEE Eindhoven PowerTech , Jun. 2015
2015
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C. Josz and D. Henrion, “Strong Duality in Lasserre’s Hierarchy for Polynomial Optimization,” Springer, Optimiz. Letters , 2015
2015
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D. Molzahn, I. Hiskens, and B. Lesieutre, “Calculation of Voltage Stability Margins and Certification of Power Flow Insolvability using Second-Order Cone Programming,” in 47th Hawaii Int. Conf. Syst. Sci. (HICSS) , Jan. 5-8 2016
2016
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D. Molzahn, D. Mehta, and M. Niemerg, “Toward Topologically Based Upper Bounds on the Number of Power Flow Solutions,” Submitted to
2016
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D. Molzahn, C. Josz, I. Hiskens, and P. Panciatici, “Computational Analysis of Sparsity-Exploiting Moment Relaxations of the OPF Problem,” Preprint , 2016
2016
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D. Molzahn and I. Hiskens, “Convex Relaxations of Optimal Power Flow Problems: An Illustrative Example,” Preprint , 2016
2016
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