Slow manifold matching in linear singularly perturbed systems with application to conservative networks

The preservation of the conservative property of power system models without transfer conductance is investigated. It is shown that for linearized models, the approximate slow subsystems obtained from truncated asymptotic expansions can be regarded as the exact slow manifolds of a sequence of auxiliary singularly perturbed systems which converge to the original model. Based on this idea, it is proved that approximate slow subsystems of conservative two-time-scale power systems are conservative