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This paper is concerned with the power system state estimation (PSSE) problem, which aims to find the unknown operating point of a power network based on a given set of measurements. The measurements of the PSSE problem are allowed to take any arbitrary combination of nodal active powers, nodal reactive powers, nodal voltage magnitudes and line flows. This problem is non-convex and NP-hard in the worst case. We develop a set of convex programs with the property that they all solve thedoi:10.1109/cdc.2016.7798346 dblp:conf/cdc/MadaniALB16 fatcat:7cgpfvxuvramdonffcoka2tcku