90 citations · 1.1k across the 68 of their papers we have counts for
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Investigating the Maximum Number of Real Solutions to the Power Flow Equations: Analysis of Lossless Four-Bus Systems
Daniel K. Molzahn, Matthew Niemerg, Dhagash Mehta +1
The power flow equations model the steady-state relationship between the power injections and voltage phasors in an electric power system. By separating the real and imaginary comp…
Three Formulations of the Kuramoto Model as a System of Polynomial Equations
Tianran Chen, Jakub Marecek, Dhagash Mehta +1
We compare three formulations of stationary equations of the Kuramoto model as systems of polynomial equations. In the comparison, we present bounds on the numbers of real equilibr…
On the Network Topology Dependent Solution Count of the Algebraic Load Flow Equations
Tianran Chen, Dhagash Mehta
A large amount of research activity in power systems areas has focused on developing computational methods to solve load flow equations where a key question is the maximum number o…
Recent Advances in Computational Methods for the Power Flow Equations
Dhagash Mehta, Daniel K Molzahn, Konstantin Turitsyn
The power flow equations are at the core of most of the computations for designing and operating electric power systems. The power flow equations are a system of multivariate nonli…
Toward Topologically Based Upper Bounds on the Number of Power Flow Solutions
Daniel K Molzahn, Dhagash Mehta, Matthew Niemerg
The power flow equations, which relate power injections and voltage phasors, are at the heart of many electric power system computations. While Newton-based methods typically find…