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This paper presents how symbolic computational approaches can be combined with advanced power system algorithms in order to implement advanced smart grid applications that will enable the modernization and the automation of the grid. We initially present a method for symbolically defining and integrating complex nonlinear dynamical systems in order to automatically compute the model of the devices that are connected to the power system, independently of their complexity. This generic form of the device model as computed by the “symbolic integrator” is then used as an input to numerous advanced real time power system applications. In this paper, an autonomous state estimator is presented as a demonstrative application. The proposed operational scheme is based on the combination of advanced state estimation algorithms that enable robotic (autonomous) power system operation. A laboratory setup is also presented to demonstrate the applicability of the proposed scheme.