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This paper presents a methodology to obtain a discrete-time state-space representation of an electrical network using the nodal [G] matrix of the Electromagnetic Transients Program (EMTP) solution. Compared with conventional state-space solutions, the nodal EMTP solution is computationally very efficient. Compared with the phasor solutions used in transient stability analysis, the proposed approach may capture a wider range of eigenvalues and system operating states. An important advantage of extracting the system eigenvalues from the EMTP solution is the ability of the EMTP to follow the characteristics of nonlinearities. In addition, the algorithm can be used as a tool to identify network partitioning subsystems suitable for real-time hybrid power system simulator environments, including the implementation of multi-time-scale solutions. The proposed technique can be implemented as an extension of an EMTP-based simulator. Within our research group at UBC, it is aimed at extending the capabilities of our real-time PC-cluster Object Virtual Network Integrator (OVNI) simulator.