Implementation of the frequency dependent line model in a real-time power system simulator
Implementación del modelo de línea dependiente de la frecuencia en un simulador de tiempo real de sistemas eléctricos de potencia
Keywords:
Real-Time Simulators, EMTP program, frequency-dependent line model, FD-Line, Simulink, power-system blockset (en)Simulador tiempo real, programa EMTP, modelo de línea dependiente de la frecuencia, FD-Line, Simulink, librería de sistemas eléctricos de potencia (es)
In this paper is described the implementation of the frequency-dependent line model (FD-Line) in a real-time digital power system simulator. The main goal with such development is to describe a general procedure to incorporate new realistic models of power system components in modern real-time simulators based on the Electromagnetic Transients Program (EMTP). In this procedure are described, firstly, the steps to obtain the time domain solution of the differential equations that models the electromagnetic behavior in multi-phase transmission lines with frequency dependent parameters. After, the algorithmic solution of the FD-Line model is implemented in Simulink environment, through an S-function programmed in C language, for running off-line simulations of electromagnetic transients. This implementation allows the free assembling of the FD Line model with any element of the Power System Blockset library and also, it can be used to build any network topology. The main advantage of having a power network built in Simulink is that can be executed in real-time by means of the commercial eMEGAsim simulator. Finally, several simulation cases are presented to validate the accuracy and the real-time performance of the FD-Line model.
References
Clayton R. Paul, (1994). Analysis of Multiconductor Transmission
Lines, Wiley, New York
Dargahi, A., Ghosh, G., Ledwich, G., Zare, F., (2012). Studies in Power Hardware in the Loop (PHIL) Simulations using Real-Time Simulator (RTDS), 2012 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES), Bengaluru, pp. 1-6.
Dommel, H. W., (1986). Electromagnetic Transients Program Reference Manual. EMTP Theory Book Prepared for Bonneville Power Administration, P.O. Box 3621, Portland, Ore., 97208, USA, 1986.
Dufour, C., Bélanger, J., (2014). On the use of Real-Time Simulation Technology in Smart Grid Research and Development. IEEE Transactions on Industry Applications, 50(6), 3963-3970.
Dufour, C., Mahseredjian, J., Bélanger, J., (April, 2011). A Combined State-Space Nodal Method for the Simulation of Power System Transients. IEEE Transactions on Power Delivery. 26(1), 928-935.
Dufour, C., Mahseredjian, J., Bélanger, J., Naredo, J. L., (November, 2010). An Advanced Real-Time Electro-Magnetic Simulator for power systems with a simultaneous state-space nodal solver. Transmission and Distribution Conference and Exposition: Latin America (T&D-LA), Sao Paulo.
Faria, J. A. Brandão (1993). Multiconductor Transmission-Line
Structures: Modal Analysis Techniques. Wiley, New York
Guillaud, X., et al. (2015). Applications of Real-Time Simulation Technologies in Power and Energy Systems. IEEE Power and Energy Technology Systems Journal, 2(3), pp. 103-115.
Gustavsen, B., (Feb, 2017). Optimal Time Delay Extraction for Transmission Line Modeling. IEEE Transactions on Power Deliv-ery, 32(1), pp. 45-54.
Gustavsen, B., (Oct, 2012). Modal Domain-Based Modeling of Parallel Transmission Lines with Emphasis on Accurate Representation of Mutual Coupling Effects, 27(4), pp. 2159-2167.
Gustavsen, B., De Silva, H. M. J., (2013). Inclusion of Rational Models in an Electromagnetic Transient Program: Y-Parameters, Z-Parameters, S-Parameters, Transfer Functions. IEEE Transactions on Power Delivery, 28(2), pp. 1164-1174).
Gustavsen, B., Semlyen A., (1999). Rational approximation
of frequency domain responses by vector fitting.
IEEE Trans. Power Delivery, 14(3), pp. 1052-1061.
Iracheta, R., Ramos-Leaños, O., (2010). Improving computational efficiency of FD line model for real-time simulation of EMTS. North American Power Symposium 2010, Arlington, Texas, USA, pp. 1-8.
Iracheta, R., Siller-Salas, Hasimoto-Beltrán, R., Flores-Guzman, N., (2015). Efficient Simulation of Electromagnetic Transients in Power Networks. 2015 IEEE Thirty Fifth Central American and Panama Convention (CONCAPAN XXXV), Tegucigalpa, p. 1-7.
Kocar, I., Mahseredjian, J., (2016). New procedure for computation of time delays in propagation function fitting for transient modeling of cables. IEEE Transactions on Power Delivery, 31(2), 613-621.
Kuffel, R., Giesbrecht, J., Maguire, T., Wierckx, R. P., McLaren, P., (1995). RTDS- a fully digital power system simulator operating in real time. Communications, Power, and Computing Conference Proceedings IEEE WESCANEX 95, 2(1), 300-305.
Marti, J. R. (1982). Accurate Modeling of Frequency-Dependent Transmission Lines in Electromagnetic Transient Simulations. IEEE Transactions on Power Apparatus and Systems, PAS-101(1), 147-157.
Marti, J., Tavighi A. (2017). Frequency Dependent Multiconductor
Transmission Line Model with Collocated Voltage
and Current Propagation. IEEE Transactions on Power Delivery,
vol. PP(99), 1-10.
Sintef.no., (2017). The Vector Fitting Web Site. [online] Available
at: http://www.sintef.no/projectweb/vectfit/ [Accessed
Sep. 2017].
Wedepohl, L. M., (December, 1963). Applications of Matrix Methods to the solution of Travelling Wave Phenomena in Polyphase Systems. Proceedings IEE, 110(12), 2200-2212.
License
Copyright (c) 2017 Reynaldo Iracheta-Cortez, Norberto Flores-Guzman, Rogelio Hasimoto-Beltran

This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors or holders of the copyright for each article hereby confer exclusive, limited and free authorization on the Universidad Nacional de Colombia's journal Ingeniería e Investigación concerning the aforementioned article which, once it has been evaluated and approved, will be submitted for publication, in line with the following items:
1. The version which has been corrected according to the evaluators' suggestions will be remitted and it will be made clear whether the aforementioned article is an unedited document regarding which the rights to be authorized are held and total responsibility will be assumed by the authors for the content of the work being submitted to Ingeniería e Investigación, the Universidad Nacional de Colombia and third-parties;
2. The authorization conferred on the journal will come into force from the date on which it is included in the respective volume and issue of Ingeniería e Investigación in the Open Journal Systems and on the journal's main page (https://revistas.unal.edu.co/index.php/ingeinv), as well as in different databases and indices in which the publication is indexed;
3. The authors authorize the Universidad Nacional de Colombia's journal Ingeniería e Investigación to publish the document in whatever required format (printed, digital, electronic or whatsoever known or yet to be discovered form) and authorize Ingeniería e Investigación to include the work in any indices and/or search engines deemed necessary for promoting its diffusion;
4. The authors accept that such authorization is given free of charge and they, therefore, waive any right to receive remuneration from the publication, distribution, public communication and any use whatsoever referred to in the terms of this authorization.










