Network Observability Analysis Based on Linear Dependence between Measurement Function Vectors

A new numerical algorithm is proposed, By means of analyzing the linear dependence between measurement function vectors, firstly the node injection radix measurement is defined and the coefficient matrix of redundant measurement function vectors, which are linearly represented by node injection radix measurement function vectors, is attained; secondly, a new matrix is composed by means of using relevant rows in above-mentioned coefficient matrix that correspond to partial measurement vectors in redundant measurement; thirdly, after the simplification of new matrix the network observability can be judged by calculating the rank of new matrix. Taking a 220kV power network in a certain region for example, the observability of this network is judged and analyzed, the results show that the proposed method is effective and feasible, thus it can meet the requirement of practical application.