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An asynchronous MATE-multirate method for the modeling of electric power systems

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Abstract

The multiarea Thévenin equivalent (MATE) solution framework is used in this work to combine several subsystems, which are solved using different multiple and non-multiple time-step sizes. In the proposed asynchronous MATE-multirate (A-MATE-multirate) solution, each subsystem is solved with the integration step size that is most adequate for its own internal time constants. This paper relaxes the requirement of previous multirate techniques, in which the solution time-steps of different systems must be multiples or submultiples of each other. To this end, this paper introduces the concept of asynchronous updating, in which each subsystem is updated according to its own internal clock. This updating process is performed in a closed-form solution, with external subsystems represented by their interpolated Thévenin equivalents. Interpolation with future values without using extrapolation is possible in the electromagnetic transients program solution because the history source for future time-steps is calculated at previous time-steps. The exchange of information between subsystems is conditioned using filters to avoid numerical problems during the decimation of the fast subsystems and the interpolation of the slow subsystems. The effectiveness of the proposed methodology is verified with examples using multiple and non-multiple time-step sizes.

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Authors and Affiliations

  1. Department of Electrical Mechanical Engineering, University of Guadalajara, Av. Juárez No. 976, Guadalajara, Jalisco, Mexico

    V. A. Galván-Sánchez, E. S. Bañuelos-Cabral, J. Sotelo-Castañón & J. L. García-Sánchez

  2. Department of Electrical and Computer Engineering, The University of British Columbia, Vancouver, Canada

    José R. Martí

  3. Department of Mathematics, University of Guadalajara, Guadalajara, Mexico

    J. A. Gutiérrez-Robles

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  1. V. A. Galván-Sánchez
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  2. José R. Martí
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  3. E. S. Bañuelos-Cabral
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  5. J. L. García-Sánchez
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Correspondence to E. S. Bañuelos-Cabral.

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Galván-Sánchez, V.A., Martí, J.R., Bañuelos-Cabral, E.S. et al. An asynchronous MATE-multirate method for the modeling of electric power systems. Electr Eng 103, 993–1007 (2021). https://doi.org/10.1007/s00202-020-01128-x

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