Chaotic phenomena in power systems

The authors outline some fundamental concepts of chaos theory and show how they may be applied to power systems. They apply nonlinear control theory and Melnikov´s method to study the conditions under which chaotic phenomena could occur in such a power system. The analytical results demonstrate that complex nonlinear phenomena such as subharmonics and chaos can arise in a simple nonlinear system. Certain mode interactions may arise when a simple zero of a nonlinear autonomous system occurs at a certain critical combination of the parameters and as a result interesting phenomena could occur