Observers for Differential Algebraic Equation Models of Power Networks: Jointly Estimating Dynamic and Algebraic States

Phasor measurement units (PMUs) have become instrumental in modern power systems for enabling real time, wide-area monitoring and control. Accordingly, many studies investigated efficient robust dynamic state estimation (DSE) methods order to accurately compute the states of generation units. Nonetheless, most them forego dynamic-algebraic nature networks only consider their nonlinear representations. Motivated by lack DSE based on network’s differential-algebraic equations (DAEs), this article develops a novel observer-based framework perform simultaneous algebraic multimachine networks. Specifically, we leverage DAE dynamics network around an operating point combine with PMU-based model capable capturing bus voltages line currents. The proposed $\mathcal {H}_{\infty }$ observer, which requires detectability impulse observability conditions that are satisfied various networks, is designed handle noise, unknown inputs, input sensor failures. results obtained from performing extensive numerical simulations IEEE 9-bus 39-bus showcase effectiveness approach purposes.