A new publication on the HELM method, extending it to DC Power Systems and other nonlinear DC circuits, has been accepted in the IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS journal. This paper presents part of the R&D work developed in the framework of SBIR project phase-I S3.03-9774 (SBIR 2014-1) and phase-II S3.03-9774 (SBIR 2014-2) with NASA. Link: http://dx.doi.org/10.1109/TCSI.2015.2512723.