Pre-Flight Assessment of Xenon Propellant Usage and Usage Uncertainty for the Psyche Mission

Snyder, John Steven; Johnson, Ian; Kerl, Taylor; Baldwin, Jeff

doi:10.2514/6.2021-3427

Cited by 2 publications

(6 citation statements)

References 10 publications

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“…Consequently, the optimized Hall current distribution vector J H * can be deduced from equation (2)(3).…”

Section: Establishment Of the Inverse Problemmentioning

confidence: 99%

“…Consequently, a reasonable predefined distribution of the current becomes important. The drift current density is determined according to the following: (2)(3)(4) where ne denotes the electron number density, e the elementary charge equaling to 1.6 × 10 −19 C. V E×B is the drift velocity which can be calculated from the electric field E and magnetic field B as:…”

Section: Distribution Of the Hall Drift Current 231 Typical Distribut...mentioning

confidence: 99%

“…In light of the stated objectives, we employed the FEMM to simulate the inverse magnetostatic problem. Furthermore, the L-curve criterion was adopted to ascertain the optimal regularization parameter, denoted as The Tikhonov regularization introduced in this work diverged from the conventional Tikhonov regularization and so the L-curve criterion cannot be used to determine the value of λ in equation (2)(3). This is primarily attributed to the inclusion of three derivatives: Lrr, Lzz., and Lrz, rendering the solutions' seminorm indescribable.…”

Section: Pseudo-seminorm Definition and Verificationmentioning

confidence: 99%

“…It is noteworthy that equation (4-4) condenses the 2D constraint regularization term ∥LrrJ H ∥ 2 + 2∥LrzJ H ∥ 2 + ∥LzzJ H ∥ 2 from a previous equation (equation (2)(3))) into a onedimensional term ∥LJ H ∥ 2 , both of which exert similar constraint effects. However, the latter offers a more streamlined presentation.…”

Section: Errors Associated With Different Quantity-matching Pairsmentioning

confidence: 99%

“…In recent times, Hall thrusters have emerged as the predominant form of electric propulsion devices, playing a vital role in various space missions, including on-orbit stationkeeping, orbit transferring, and interplanetary voyages of spacecraft [1][2][3][4]. However, as the applications have proliferated in recent years, issues caused by orbit-ground discrepancies of Hall the crossed electric and magnetic field region, the electrons will move in the azimuthal direction of the thruster's annular channel and constitute the Hall drift current.…”

Section: Introductionmentioning

confidence: 99%

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Utilizing the L-curve criterion for the inverse magnetostatic problem of Hall drift current estimation

Ren,

Zhou,

Wei

et al. 2024

J. Phys. D: Appl. Phys.

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Aiming at achieving the in-orbit diagnostic of Hall drift current, this study focuses on estimation through the indirect measurement methodology using a magnetic sensor array. It elaborates on the application of a pseudo-seminorm defined for the Hall drift current solution to address the inverse magnetostatic problems, which are formulated with a two-dimensional Tikhonov regularization constraint, and thereby offering a systematic approach to select regularization parameters. Our investigation discusses factors influencing the formation of the L-curve and the accuracy of the resultant solution obtained via the L-curve criterion. The results reveal that the formation of the defined pseudo-seminorm of the Hall drift current solution in the semi-logarithmic coordinate system is independent of the number of calibrating current elements or the number of magnetic sensors. This effectively resolves the issue of failing to generate an L-curve during regularization parameter selection. Furthermore, the study indicates that expanding the number of calibrating current elements – essentially increasing the unknown variables in the inverse magnetostatic equations – contributes to a significant enhancement in the accuracy of Hall drift current solutions. It also has extensibility to be applied to other areas where the contactless current measuring is required.

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“…Consequently, the optimized Hall current distribution vector J H * can be deduced from equation (2)(3).…”

Section: Establishment Of the Inverse Problemmentioning

confidence: 99%

Section: Distribution Of the Hall Drift Current 231 Typical Distribut...mentioning

confidence: 99%

Section: Pseudo-seminorm Definition and Verificationmentioning

confidence: 99%

Section: Errors Associated With Different Quantity-matching Pairsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Utilizing the L-curve criterion for the inverse magnetostatic problem of Hall drift current estimation

Ren,

Zhou,

Wei

et al. 2024

J. Phys. D: Appl. Phys.

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show abstract

On-orbit mission overview of the low power hall thruster propulsion system aboard venμs satellite

Katz Franco,

Shoor,

Davidson

et al. 2024

J Electr Propuls

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Pre-Flight Assessment of Xenon Propellant Usage and Usage Uncertainty for the Psyche Mission

Cited by 2 publications

References 10 publications

Utilizing the L-curve criterion for the inverse magnetostatic problem of Hall drift current estimation

Utilizing the L-curve criterion for the inverse magnetostatic problem of Hall drift current estimation

On-orbit mission overview of the low power hall thruster propulsion system aboard venμs satellite

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