  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.
