Scalable design rules for heterogeneous networks
Richard Pates · Apollo (University of Cambridge) · 2014
We derive robust, decentralised and scalable stability criteria for networks of heterogeneous systems. Stability of the network is guaranteed if the dynamics of each local area of the network satisfies a globally specified protocol. The results are suitable for a broad class of network models, allowing for interconnection asymmetries, multi-input-multi-output systems and nonlinearities. For networks of single-input-single-output systems with a bipartite interconnection structure the protocol takes the form of a graphical Nyquist type test. This allows local control systems to be designed using loopshaping techniques. In the general setting the protocol take the form of a frequency domain inequality, and design can be conducted using linear matrix inequalities. Vve apply the techniques to construct a protocol for networks of detailed synchronous machine models. This illustrates that the conditions can be used for scalable stability verification and design of high fidelity electrical power system models.