Published

2017-09-01

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)

Downloads

Authors

  • Reynaldo Iracheta-Cortez Postdoctoral Fellow at Center for Research in Mathematics, Guanajuato, Mexico.
  • Norberto Flores-Guzman Manager of the area Industrial Mathematics at Center for Research in Mathematics, Guanajuato, Mexico.
  • Rogelio Hasimoto-Beltran Department of Computer Sciences at Center for Research in Mathematics, Guanajuato, Mexico

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.

En este artículo se describe la implementación del modelo de línea dependiente de la frecuencia FD-Line en un simulador digital en tiempo-real de sistemas eléctricos de potencia. El objetivo principal con este desarrollo es describir un procedimiento general para incorporar nuevos modelos realistas de componentes de sistemas eléctricos de potencia en los modernos simuladores de tiempo real basados en el programa de transitorios electromagnéticos (o EMTP, por sus siglas en inglés). En dicho procedimiento se describen, primeramente, los pasos para obtener la solución en el dominio del tiempo de las ecuaciones diferenciales que modelan el comportamiento electromagnético de una línea de transmisión polifásica con parámetros dependientes de la frecuencia. Posteriormente, se implementa la solución algorítmica del modelo de línea en Simulink, por medio de una función S en lenguaje C, para ejecutar simulaciones fuera de línea de transitorios electromagnéticos. Esta implementación permite ensamblar libremente el modelo FD-Line con cualquier elemento de la librería de sistemas de potencia en Simulink y también, se puede construir cualquier topología de red eléctrica. La principal ventaja de tener una red eléctrica construida en Simulink es que puede ser ejecutada en tiempo real por medio del simulador comercial eMEGAsim. Finalmente, se presentan varios casos de simulación de sistemas de potencia para probar la precisión y el desempeño en tiempo-real del modelo FD-Line.

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.