2021
DOI: 10.1063/5.0057751
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Real-time state estimation of low-frequency plasma oscillations in Hall effect thrusters

Abstract: An extended Kalman filter (EKF) is developed to estimate unobserved states and parameters in plasma dynamical systems. Physical constraints are satisfied by adapting the process and measurement noise covariances to account for consistency between the estimates and the physical processes. First, the EKF is tested using the Lorenz system to demonstrate the robustness of the EKF with sparse measurement data. Then, the capabilities of the EKF are applied to investigate discharge current oscillations in a Hall effe… Show more

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Cited by 10 publications
(9 citation statements)
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“…This may enable data-driven MPC with limited observables (cf. also PC-EKF 150,151 ). In addition, MPC schemes based on LSTM networks that have been successfully demonstrated in magnetic confinement fusion plasmas subject to inherent complex nonlinear dynamics by Degrave et al 194 may be promising candidates for adaptation in LTP processing.…”
Section: Data-driven Discharge Surrogate Modelingmentioning
confidence: 99%
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“…This may enable data-driven MPC with limited observables (cf. also PC-EKF 150,151 ). In addition, MPC schemes based on LSTM networks that have been successfully demonstrated in magnetic confinement fusion plasmas subject to inherent complex nonlinear dynamics by Degrave et al 194 may be promising candidates for adaptation in LTP processing.…”
Section: Data-driven Discharge Surrogate Modelingmentioning
confidence: 99%
“…With the goal to estimate the internal state of an LTP system in real time despite limited access to observable quantities, a physically constrained extended Kalman filter (PC-EKF) has been devised by Greve et al 150 First, the general principle including physical constraints (e.g., prohibiting negative quantities) was assessed at the example of the Lorenz system. The PC-EKF has been shown to closely resemble its chaotic system dynamics.…”
Section: Plasma State Estimationmentioning
confidence: 99%
“…In particular, the model used in this paper follows the model developed in Ref. [21], accounting for physical constraints such as positive definite estimation uncertainties. For notation purposes, the tilde (˜) symbol denotes a measurement, and the hat (ˆ) symbol is an estimate.…”
Section: Kalman Filteringmentioning
confidence: 99%
“…It is to be noted that the plasma global model in Ref. [21] considered the plasma density, which is directly a state variable, to be the measurement data. One of the key points to be investigated in the present study is that there are infinite possibilities for the combination of ion number density and electron temperature to reach a given ion flux density, but only one that replicates the complete state of the plasma dynamics.…”
Section: Self-verification Study With One Unknown Statementioning
confidence: 99%
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