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Fast Time Domain Periodic Steady-state Solution of Nonlinear Electric Networks Containing DVRs

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Author(s): Hernández-Martínez Edgar | Medina Aurelio | Olguín-Salinas Daniel

Journal: IETE Journal of Research
ISSN 0377-2063

Volume: 57;
Issue: 2;
Start page: 105;
Date: 2011;
Original page

Keywords: Dynamic voltage restorer | Limit cycle | Numerical differentiation | Steady state | Time domain

ABSTRACT
This paper details the structure and a state-space model of the Dynamic Voltage Restorer. Case studies are analyzed to assess the impact of nonlinear electric networks containing this component, with their solution in steady-state periodic being obtained with the application of an efficient time domain methodology which allows a swift computation of the periodic steady-state solution for the entire distribution network by extrapolating the solution to the limit cycle. The methodology is based on a Newton method based on a Numerical Differentiation procedure and extrapolation to the limit cycle. Comparisons are given between these two methods in terms of the number of cycles (periods) required to obtain the periodic steady-state solution.
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