A singular value decomposition-based technique for decoupling and analyzing power networks

An eigen-based transformation called Channel Components Transform (CCT) has been recently proposed for decoupling power networks. CCT has revealed many unique features in power system studies especially voltage stability analysis and monitoring. However, this method may face some difficulties in certain situations. The difficulties including the non-existence difficulty and the robustness difficulty are discussed in this paper. This paper will then show that by using the singular value decomposition instead of the eigen-decomposition, the difficulties can be effectively overcome. Therefore, a new transformation based on singular value decomposition is proposed. An algorithm is also presented which shows how the proposed transformation can be applied to voltage stability analysis. The proposed algorithm is verified by using several standard systems as case studies.