The large-scale integration of converter-interfaced resources in electrical power systems raises new stability threats which call for a new theoretic framework for modelling and analysis. Here we present the theory of power-communication isomorphism to solve this grand challenge. It is revealed that an intrinsic communication mechanism governs the synchronisation of all apparatus in power systems based on which a unified representation for heterogeneous apparatus and behaviours is established. We develop the mathematics to model the dynamic interaction within a power-communication isomorphic system which yield a simple stability criterion for complex systems that can be intuitively interpreted and thus conveniently applied in practice.
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