Data-Driven-Based Vector Space Decomposition Modeling of Multiphase Induction Machines

Mohamed A. Abu-Seif, Mohamed Ahmed, Mohamed Y. Metwly, Ayman S. Abdel-Khalik, Mostafa S. Hamad, Shehab Ahmed, Noha Elmalhy

Research output: Contribution to journalArticlepeer-review


For contemporary variable-speed electric drives, the accuracy of the machine's mathematical model is critical for optimal control performance. Basically, phase variables of multiphase machines are preferably decomposed into multiple orthogonal subspaces based on vector space decomposition (VSD). In the available literature, identifying the correlation between states governed by the dynamic equations and the parameter estimate of different subspaces of multiphase IM remains scarce, especially under unbalanced conditions, where the effect of secondary subspaces sounds influential. Most available literature has relied on simple RL circuit representation to model these secondary subspaces. To this end, this paper presents an effective data-driven-based space harmonic model for n-phase IMs using sparsity-promoting techniques and machine learning with nonlinear dynamical systems to discover the IM governing equations. Moreover, the proposed approach is computationally efficient, and it precisely identifies both the electrical and mechanical dynamics of all subspaces of an IM using a single transient startup run. Additionally, the derived model can be reformulated into the standard canonical form of the induction machine model to easily extract the parameters of all subspaces based on online measurements. Eventually, the proposed modeling approach is experimentally validated using a 1.5 Hp asymmetrical six-phase induction machine.
Original languageEnglish (US)
Pages (from-to)1-13
Number of pages13
JournalIEEE Transactions on Energy Conversion
StatePublished - Mar 13 2023

Bibliographical note

KAUST Repository Item: Exported on 2023-03-16
Acknowledgements: This work was achieved by the financial support of ITIDAs ITAC collaborative funded project under the category type of advanced research projects (ARP) and grant number ARP2020.R29.7.

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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