New Numerical Integration Methods for Simulation of Electromagnetic Transients
-
Soham Chakraborty
and
R. Ramanujam
Abstract
This paper proposes two new methods of numerical integration for computation of electromagnetic transients. In the most widely used electromagnetic transients program (EMTP) trapezoidal method (TM) is employed for computation of transients. The TM has many desirable properties but in certain situations it can give rise to non-physical time step oscillations because it does not possess stiff decay property. The proposed methods effectively damp out/eliminate these oscillations. The first method is a single-step single-stage method and the second one is a single-step two-stage method. Both methods possess stiff decay property. The performance of the methods are investigated using techniques such as Z-transform analysis, magnitude and phase plots, regions of absolute stability and time-domain simulations. The investigations include comparison of results from two well-known implicit methods and an existing two-stage method. The proposed methods possess many desirable properties and can be considered for computation of electromagnetic transients and engineering problems that require stiff system computations. In addition to the above, a more efficient algorithm to include non-linear elements has been proposed for the two-stage method.
References
[1] Chua LO, Lin PM. Multistep numerical-integration algorithms’ and ‘implicit algorithms for solving networks characterized by stiff state equations. In: Computer-aided analysis of electronic circuits. New Jersy: Prentice-Hall Inc.; 1975. p. 480–538.Search in Google Scholar
[2] Ramanujam R. A note on trapezoidal rule and its relationship to backward Euler and Gear’s second order methods. EMTP Newsletter. July 1985;5.Search in Google Scholar
[3] Dommel HW, Dommel II. Transients program user’s manual. Vancouver, Canada: The University of British Columbia, August 1978:47.Search in Google Scholar
[4] Brandwajn V. ‘Damping of numerical noise in the EMTP solution’ and ‘Influence of numerical noise on the stability of type 59 SM model’. EMTP Newsletter. 1982 February;2:10–19.Search in Google Scholar
[5] Lin M. Implementation of the CDA procedure in the EMTP. IEEE Transactions on Power Systems. 1990 May;5:394–402.10.1109/59.54545Search in Google Scholar
[6] Noda T, Takenaka K, Inoue T. Numerical integration by the 2-stage diagonally implicit Runge-Kutta method for electromagnetic transient simulations. IEEE Transactions on Power Delivery. January 2009;24:390–99.10.1109/TPWRD.2008.923397Search in Google Scholar
[7] Ramanujam R ‘Some aspects of digital simulation of transient phenomena in synchronous machines’, Ph. D thesis, Indian Institute of Science, 1986Search in Google Scholar
[8] Alvarado: F. Eliminating numerical oscillations in trapezoidal integration. EMTP Newsletter. February 1982;2:20–32.Search in Google Scholar
[9] Dommel HW. EMTP Theory Book, 2nd ed. Vancouver, British Columbia, Canada: Microtran Power System Analysis Corporation, May 1992 Last update: April 1996.Search in Google Scholar
[10] Ramanujam R. Computational electromagnetic transients, modelling, solution methods and simulation. New Delhi, India: I.K. International Publishing House Pvt. Ltd., 2016.Search in Google Scholar
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Articles in the same Issue
- Research Article
- Modelling a Disconnect Switch
- New Numerical Integration Methods for Simulation of Electromagnetic Transients
- Protection Systems and Earthing Schemes for Microgrids: Main Aspects and Fault Analysis
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- Implementation of Single-Phase Two-Switch Midpoint Unidirectional Multilevel Converter System
- LIM Control Strategy Supported by Genetic Algorithm with Unbalanced AC Source
- Economical Feasibility of Photovoltaic Array Power Increase by Alternative Structures Inclusion
- Multi-Stage Optimal Placement of Branch PMU in Active Distribution Network
- Study on the Impacts of Uncertain Meteorological Parameters on Line Transmission Capacity
- A Buck-Boost DC/DC Converter with High Efficiency Suitable for Renewable Energies
- Smart Battery Charging Station for ElectricVehicle Using Half Bridge Power Converter
- Study on a Motor Bearing Fault Diagnosis Method Using Improved EWT Based on Scale Space Threshold Method
