Time-domain harmonic state estimation based on the Kalman filter Poincare map and extrapolation to the limit cycle

• Published in: IET generation, transmission & distribution Vol. 6; no. 12; pp. 1209 - 1217
• Main Authors: MEDINA, A, CISNEROS-MAGANA, R
• Format: Journal Article
• Language: English
• Published: Stevenage Institution of Engineering and Technology 01.12.2012; The Institution of Engineering & Technology
• Subjects: Applied sciences; Capacitors. Resistors. Filters; Computer simulation; Electrical engineering. Electrical power engineering; Electrical power engineering; Exact sciences and technology; Miscellaneous; Power networks and lines; Various equipment and components; Harmonic; Parameter estimation; Poincaré map; EMTP; Differential equation; Kalman filter; Discrete Fourier transformation; System design; Numerical method; State variable; Time domain method; Electrical network; Direct current; System simulation; Limit cycle; State estimation; Electric power industry; Simulator; Computer aided design
• ISSN: 1751-8687; 1751-8695
• DOI: 10.1049/iet-gtd.2012.0248

In this study, a time-domain methodology for the harmonic state estimation (HSE) assessment of power networks is proposed. The time domain HSE solution is based on the application of the Kalman filter, Poincarémap and extrapolation to the limit cycle using a numerical differentiation procedure. The noisy state variables measurements to be used for HSE are taken from a simulation of the network harmonics propagation. The estimated harmonic magnitudes are obtained applying the discrete Fourier transform. The results obtained with the proposed time-domain HSE methodology are validated against the actual system response and against the solution obtained with the power systems computer aided design/electromagnetic transients including direct current (PSCAD/EMTDC) simulator, widely accepted by the power industry, a close agreement between the results is obtained. [PUBLICATION ABSTRACT]