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The AC power flow equations underlie all operational aspects of power systems.
“Analysis of power-flow equation”,
A Araposthatis, S Sastry, and P Varaiya, · 1981
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“A load flow calculation method for ill-conditioned power systems”,
S Iwamoto and Y Tamura, · 1981
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“Direct methods for transient stability analysis of power systems: Recent results”,
Pravin Varaiya, Felix F Wu, and R-L Chen, · 1985
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“A nondiverging polar-form newton-based power flow”,
Michael D Schaffer and Daniel J Tylavsky, · 1988
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“Bifurcation and chaos in power systems: A survey”,
P Varaiya, F Wu, and Hsiao-Dong Chiang, · 1992
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“The continuation power flow: a tool for steady state voltage stability analysis”,
Venkataramana Ajjarapu and Colin Christy, · 1992
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“Voltage collapse proximity index determination using voltage phasors approach”,
F. Gubina and B. Strmcnik, · 1995
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“Fractal basins of attraction associated with a damped newton’s method”,
Bogdan I Epureanu and Henry S Greenside, · 1998
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“Power systems analysis”, 2000
R Bergen Arthur and Vittal Vijay, · 2000
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Convex optimization
Stephen Boyd and Lieven Vandenberghe, · 2004
Cited alongside, same era.
“A comparison of the optimal multiplier in polar and rectangular coordinates”,
Joseph Euzebe Tate and Thomas J Overbye, · 2005
Cited alongside, same era.
“Summarization of continuation power flow and its applications in static stability analysis of power system [j]”,
Zhao Jin-Quan and Zhang Bo-Ming, · 2005
Cited alongside, same era.
“Convergent sdp-relaxations in polynomial optimization with sparsity”,
Jean B Lasserre, · 2006
Cited alongside, same era.
Finite-dimensional variational inequalities and complementarity problems
Francisco Facchinei and Jong-Shi Pang, · 2007
Cited alongside, same era.
Moments, positive polynomials and their applications
Jean-Bernard Lasserre, · 2009
Cited alongside, same era.
“Containment problems for polytopes and spectrahedra”,
Kai Kellner, Thorsten Theobald, and Christian Trabandt, · 2013
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“Counterexample to a continuation-based algorithm for finding all power flow solutions”,
Daniel K Molzahn, Bernard C Lesieutre, and Heng Chen, · 2013
Later among the works it cites.
“Numerical polynomial homotopy continuation method to locate all the power flow solutions”,
Dhagash Mehta, Hung Nguyen, and Konstantin Turitsyn, · 2014
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“Sparsity-exploiting moment-based relaxations of the optimal power flow problem”,
Daniel K Molzahn and Ian A Hiskens, · 2014
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“Dsos and sdsos optimization: More tractable alternatives to sos optimization”,
AA Ahmadi and A Majumdar, · 2014
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Approximate inference in graphical models using LP relaxations
David Alexander Sontag, · 2010
Cited alongside, same era.
“Matpower: Steady-state operations, planning, and analysis tools for power systems research and education”,
Ray Daniel Zimmerman, Carlos Edmundo Murillo-Sánchez, and Robert John Thomas, · 2011
Cited alongside, same era.
“The holomorphic embedding load flow method”,
Antonio Trias, · 2012
Cited alongside, same era.
“Primer on monotone operator methods”
Ernest K Ryu and Stephen Boyd,
Cited in the paper.
“Convexification of power flow problem over arbitrary networks”
Ramtin Madani, Javad Lavaei, and Ross Baldick,
Cited in the paper.
“Solving the power flow equations: A monotone operator theory approach”,
Krishnamurthy Dvijotham, Steven Low, and Misha Chertkov, · 2015
Closest in time.
“Convexity of Energy-Like Functions: Theoretical Results and Applications to Power System Operations”,
K. Dvijotham, S. Low, and M. Chertkov, · 2015
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“Solution of optimal power flow problems using moment relaxations augmented with objective function penalization”,
D.K. Molzahn, C. Josz, I.A. Hiskens, and P. Panciatici, · 2015
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“Construction of power flow feasibility sets”,
K. Dvijotham and K. Turitsyn, · 2015
Closest in time.