Robust solving of critical large power flow cases (with 50k or greater buses)forms the backbone of planning and operation of any large connected power grid.At present, reliable convergence with applications of existing power flow toolsto large power systems is contingent upon a good initial guess for the systemstate. To enable robust convergence for large scale systems starting with anarbitrary initial guess, we extend our equivalent circuit formulation for powerflow analysis to include a novel continuation method based on transmission line(Tx) stepping. While various continuation methods have been proposed for usewith the traditional PQV power flow formulation, these methods have eitherfailed to completely solve the problem or have resulted in convergence to a lowvoltage solution. The proposed Tx Stepping method in this paper demonstratesrobust convergence to the high voltage solution from an arbitrary initialguess. Example systems, including 75k+ bus test cases representing differentloading and operating conditions for Eastern Interconnection of the U.S. powergrid, are solved from arbitrary initial guesses.Interconnection of the U.S.power grid, are solved from arbitrary initial guesses.
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