4.7 Article

State Estimation Model Reduction Through the Manifold Boundary Approximation Method

Journal

IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 37, Issue 1, Pages 272-281

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2021.3091547

Keywords

Computational modeling; Data models; Jacobian matrices; Observability; Manifolds; Information and communication technology; Analytical models; State estimation; model reduction; communication outages; manifold boundary approximation method; information geometry

Funding

  1. NSF [ECCS-1710944]
  2. CURENT Engineering Research Center of the National Science Foundation
  3. Department of Energy under NSF [EEC-1041877]
  4. ONR [N00014-16-1-3028, TPWRS-017452020]

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This paper presents a method for estimating system state by analyzing system observability. The method utilizes information geometry to detect unidentifiable system parameters and states, and simplifies the model by removing reference to unidentifiable state variables. The effectiveness of the method is tested through co-simulation of the physical and cyber system layers.
This paper presents a procedure for estimating the systems state when considerable Information and Communication Technology (ICT) component outages occur, leaving entire system areas unobservable. For this task, a novel method for analyzing system observability is proposed based on the Manifold Boundary Approximation Method (MBAM). By utilizing information geometry, MBAM analyzes boundaries of models in data space, thus detecting unidentifiable system parameters and states based on available data. This approach extends local, matrix-based methods to a global perspective, making it capable of detecting both structurally unidentifiable parameters as well as practically unidentifiable parameters (i.e., identifiable with low accuracy). Beyond partitioning identifiable/unidentifiable states, MBAM also reduces the model to remove reference to the unidentifiable state variables. To test this procedure, cyber-physical system (CPS) simulation environments are constructed by co-simulating the physical and cyber system layers.

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