Fully decentralized conditions for local convergence of DC/AC converter network based on matching control

We investigate local convergence of identical DC/AC converters interconnected via identical resistive and inductive lines towards a synchronous equilibrium manifold. We exploit the symmetry of the resulting vector field and develop a Lyapunov-based framework, in which we measure the distance of the solutions of the nonlinear power system model to the equilibrium manifold by analyzing the evolution of their tangent vectors. We derive sufficient and fully decentralized conditions to characterize the equilibria of interest, and provide an estimate of their region of contraction. We provide ways to satisfy these conditions and illustrate our results based on numerical simulations of a two-converter benchmark.Comment: 6 page

Steady state characterization and frequency synchronization of a multi-converter power system on high-order manifolds

We investigate the stability properties of a multi-converter power system model, defined on high-order manifolds than the circle. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of AC signals and define a suitable equivalence class for the quotient space. Based on its Jacobian matrix, we characterize the quotient stable steady states, primarily determined by their steady state angles and DC power input. We show that local contraction is achieved on a well-defined region of the space, based on a differential Lyapunov framework and Finsler distance measure. We demonstrate our results based on a numerical example involving two test cases consisting of two and three identical DC/AC converter system.Comment: 15 pages, 8 figure

On the steady-state behavior of a nonlinear power system model

ISSN:0005-109