Power System State Estimation and Observability Analysis via Matrix Laboratory
Gyanendra Singh1, Neha Mishra2, Tushar Singh3, Vipin Kumar4
1Gyanendra Singh, Department of Electrical Engineering, Rameshwaram Institute of Technology and Management, Lucknow (U.P.). India.
2Neha Mishra, Department of Electrical Engineering, Rameshwaram Institute of Technology and Management, Lucknow (U.P.). India.
3Tushar Singh, Department of Electrical Engineering, Rameshwaram Institute of Technology and Management, Lucknow (U.P.). India.
4Vipin Kumar, Department of Mechanical Engineering, Rameshwaram Institute of Technology and Management, Lucknow (U.P.). India.
Manuscript received on October 06, 2015. | Revised Manuscript received on October 09, 2015. | Manuscript published on October 25, 2015. | PP:48-53 | Volume-3 Issue-12, October 2015. | Retrieval Number: L10381031215
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Abstract: This paper provides a numerical approach to observability analysis. The approach enables observability analysis and restoration (pseudo- measurement selection) in a simple way with iteration, via triangular factorization of the jacobian matrix of the weight least square state estimator. An algorithm for precious measurement of topological observability in large bus – system state estimation has been proposed. The algorithm is based on observation that the search for a spanning tree of full rank. The observability characterization of an electric power system from a topological point of view with respect to a given measurement acquisition system is equivalent to the existence of a certain spanning tree. The notation of observability, is a measure of how well internal states of a system can be reconstructed using a given set of measurements. In this work we derive necessary and sufficient conditions for observability in a power system. It is also show that standard measurement sets of at least one voltage measurement, and paired active and reactive power measurements may lead to unobservability for certain measurements configuration. Using a non linear transformation and properties of graph theory, a set of sufficient conditions are derived for observability. These conditions are shown to be dependent on the topological properties as well as the type of available measurements. The results is validated using an IEEE-3 Bus system. This method can be utilized off- line as a planning tool during the initial stages of measurements system design as well as on-line prior to state estimation. We use observability algorithm and state estimation algorithm, also use the Mat lab to obtain the various graphs of bus systems. In this paper we use Newton Raphson method to measure the matrix of bus-system The main objective of this paper is to measure the Observability analysis of bus system by using Mat lab simulation. In this paper we write the state estiman and observability analysis programming in matrix laboratory
Keywords: Terms-Power system state estimation, Observability analysis, Pseudo-measurement, Mathematical technique, Critical measurement