Dynamic State Estimation of Nonlinear Differential Algebraic Equation Models of Power Networks

• Published in: IEEE transactions on power systems Vol. 38; no. 3; pp. 2539 - 2552
• Main Authors: Nadeem, Muhammad, Nugroho, Sebastian A., Taha, Ahmad F.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.05.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: <named-content xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="LaTeX"> H_\infty</tex-math> </inline-formula> </named-content> stability; Algebra; Algorithms; Differential equations; Generators; Lipschitz continuity; Load modeling; Lyapunov stability criteria; Mathematical models; Measuring instruments; Noise measurement; Observers; Phasor measurement units; Phasors; Power system dynamics; power system nonlinear differential algebraic model; Power systems; robust algebraic and dynamic state estimation; State estimation; Uncertainty
• ISSN: 0885-8950; 1558-0679
• DOI: 10.1109/TPWRS.2022.3184190

This paper investigates the joint problems of dynamic state estimation of algebraic variables (voltage and phase angle) and generator states (rotor angle and frequency) of nonlinear differential algebraic equation (NDAE) power network models, under uncertainty. Traditionally, these two problems have been decoupled due to complexity of handling NDAE models. In particular, this paper offers the first attempt to solve the aforementioned problem in a coupled approach where the algebraic and generator states estimates are simultaneously computed. The proposed estimation algorithm herein is endowed with the following properties: (i) it is fairly simple to implement and based on well-understood Lyapunov theory; (ii) considers various sources of uncertainty from generator control inputs, loads, renewables, process and measurement noise; (iii) models phasor measurement unit installations at arbitrary buses; and (iv) is computationally less intensive than the decoupled approach in the literature.