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Abstract
This paper presents a comprehensive framework for wide-area modeling and harmonic resonance assessment in the AC single-phase Swedish electric railway power system (ERPS). The methodology integrates the modeling of key elements of the catenary system, such as synchronous generators, transmission lines, transformers, and filters, while addressing the dynamic behavior of rolling stocks and inherent system uncertainties. Study cases, including Monte Carlo simulations, are developed to evaluate probabilistic scenarios and impedance variations across the network using nodal admittance modeling and frequency scanning. Key contributions include a method to model moving loads, a comprehensive approach to harmonic resonance analysis based on meshed grid characteristics of the ERPS, and an uncertainty assessment framework that highlights insights for system planning and mitigation actions. Discussion outlines future research directions for improved ERPS harmonic resonance studies.
Keywords
Guideway transportation
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Harmonic analysis
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Harmonic modeling
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Harmonic resonance
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Traction power supply system
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Rafael S. Salles, Sarah K. Rönnberg.
Harmonic impedance studies of Swedish railway power system using wide-area modeling approach.
Railway Engineering Science 1-23 DOI:10.1007/s40534-025-00408-1
| [1] |
Ogunsola A, Mariscotti A. Electromagnetic compatibility in railways: analysis and management, 2013, Berlin, Springer
|
| [2] |
Salles RS, Rönnberg SK. Review of waveform distortion interactions assessment in railway power systems. Energies, 2023, 16(14): 5411
|
| [3] |
European Electrotechnical Committee for Standardization (2022) Railway applications—power supply and rolling stock—technical criteria for the coordination between power supply (substation) and rolling stock to achieve interoperability, EN 50388
|
| [4] |
Hu H, Shao Y, Tang L, et al.. Overview of harmonic and resonance in railway electrification systems. IEEE Trans Ind Appl, 2018, 54(55227-5245
|
| [5] |
Song K, Wu M, Yang S, et al.. High-order harmonic resonances in traction power supplies: a review based on railway operational data, measurements, and experience. IEEE Trans Power Electron, 2020, 35(3): 2501-2518
|
| [6] |
Holtz J, Kelin HJ. The propagation of harmonic currents generated by inverter-fed locomotives in the distributed overhead supply system. IEEE Trans Power Electron, 1989, 4(2): 168-174
|
| [7] |
Holtz J, Krah JO. On-line identification of the resonance conditions in the overhead supply line of electric railways. Arch Fur Elektrotech, 1990, 74(1): 99-106
|
| [8] |
Hill RJ, Fracchia M, Pozzobon P, et al.. A frequency domain model for 3 kV DC traction DC-side resonance identification. IEEE Trans Power Syst, 1995, 10(3): 1369-1375
|
| [9] |
Mariscotti A, Pozzobon P. Synthesis of line impedance expressions for railway traction systems. IEEE Trans Veh Technol, 2003, 52(2): 420-430
|
| [10] |
Holtz J, Krah JO. Suppression of time-varying resonances in the power supply line of AC locomotives by inverter control. IEEE Trans Ind Electron, 1992, 39(3): 223-229
|
| [11] |
Krah JO, Holtz J. Total compensation of line-side switching harmonics in converter-fed AC locomotives. IEEE Trans Ind Appl, 1995, 31(6): 1264-1273
|
| [12] |
Mariscotti A. Distribution of the traction return current in AC and DC electric railway systems. IEEE Trans Power Deliv, 2003, 18(4): 1422-1432
|
| [13] |
Mariscotti A, Pozzobon P. Determination of the electrical parameters of railway traction lines: calculation, measurement, and reference data. IEEE Trans Power Deliv, 2004, 19(4): 1538-1546
|
| [14] |
Mariscotti A, Pozzobon P, Vanti M. Simplified modeling of 2×25-kV AT railway system for the solution of low frequency and large-scale problems. IEEE Trans Power Deliv, 2007, 22(1): 296-301
|
| [15] |
CIGRE (2019) Network modelling for harmonic studies, TB766: JWG C4/B4.38
|
| [16] |
Xu W, Huang Z, Cui Y, et al.. Harmonic resonance mode analysis. IEEE Trans Power Deliv, 2005, 20(2): 1182-1190
|
| [17] |
Lee H, Lee C, Jang G, et al.. Harmonic analysis of the Korean high-speed railway using the eight-port representation model. IEEE Trans Power Deliv, 2006, 21(2): 979-986
|
| [18] |
He Z, Hu H, Zhang Y, et al.. Harmonic resonance assessment to traction power-supply system considering train model in China high-speed railway. IEEE Trans Power Deliv, 2014, 29(4): 1735-1743
|
| [19] |
Cui H, Song W, Ge X, et al.. High-frequency resonance suppression of high-speed railways in China. IET Electr Syst Transp, 2016, 6(2): 88-95
|
| [20] |
Hu H, He Z, Gao S. Passive filter design for China high-speed railway with considering harmonic resonance and characteristic harmonics. IEEE Trans Power Deliv, 2015, 30(1): 505-514
|
| [21] |
Hu H, He Z, Li X, et al.. Power-quality impact assessment for high-speed railway associated with high-speed trains using train timetable—part I: methodology and modeling. IEEE Trans Power Deliv, 2016, 31(2): 693-703
|
| [22] |
Hu H, He Z, Wang K, et al.. Power-quality impact assessment for high-speed railway associated with high-speed trains using train timetable—part II: verifications, estimations and applications. IEEE Trans Power Deliv, 2016, 31(4): 1482-1492
|
| [23] |
Hu H, Gao S, Shao Y, et al.. Harmonic resonance evaluation for hub traction substation consisting of multiple high-speed railways. IEEE Trans Power Deliv, 2017, 32(2): 910-920
|
| [24] |
Ai L, Hu H, Li Z, et al.. Harmonic resonance evaluation and suppression for interconnected system of traction substation group in weak power grid. IEEE Trans Transp Electrif, 2024
|
| [25] |
Vujatovic D, Koo KL, Emin Z. Methodology of calculating harmonic distortion from multiple traction loads. Electr Power Syst Res, 2016, 138: 165-171
|
| [26] |
Hu H, Liu Y, Li Y, et al.. Traction power systems for electrified railways: evolution, state of the art, and future trends. Railw Eng Sci, 2024, 32(1): 1-19
|
| [27] |
Olofsson M (1993) Power flow analysis of the swedish railway electrical system. Dissertation, KTH Royal Institute of Technology
|
| [28] |
Neufeld A, Schäkel N, Hofmann L (2018) Harmonic resonance analysis for various degrees of cable penetration in transmission grids. In: 2018 53rd international universities power engineering conference (UPEC). Glasgow, pp 1–5
|
| [29] |
Lennerhag O, Lundquist J, Bollen MHJ. Temporary detuning of cablified transmission grids for mitigation of resonant overvoltages. IEEE Trans Power Deliv, 2022, 37(2): 1050-1057
|
| [30] |
Lindner M. Reliable framework for the optimal allocation of harmonic emission limits. IEEE Trans Power Deliv, 2023, 38(3): 1699-1708
|
| [31] |
Blanco Castañeda A, Domagk M, Meyer J et al (2024) Flexible network model to study the impact of future changes in transmission systems on harmonic levels and impedance. In: International conference on large high voltage electric system, Paris, C4-11651-2024
|
| [32] |
Barakou F, Bollen MHJ, Mousavi-Gargari S et al (2016) Impact of load modeling on the harmonic impedance seen from the transmission network. In: 17th international conference on harmonics and quality of power (ICHQP). Belo Horizonte, pp 283–288
|
| [33] |
Ye G, Van Waes J, Cuk V, et al.. Downstream network modeling with generalized distribution networks for harmonic studies. IEEE Trans Power Deliv, 2020, 35(5): 2495-2505
|
| [34] |
Li Z, Hu H, Wang Y, et al.. Probabilistic harmonic resonance assessment considering power system uncertainties. IEEE Trans Power Deliv, 2018, 33(6): 2989-2998
|
| [35] |
Li Z, Hu H, Tang L, et al.. Quantitative severity assessment and sensitivity analysis under uncertainty for harmonic resonance amplification in power systems. IEEE Trans Power Deliv, 2020, 35(2): 809-818
|
| [36] |
Li Z, He Z, Song Y, et al.. Stochastic assessment of harmonic propagation and amplification in power systems under uncertainty. IEEE Trans Power Deliv, 2021, 36(2): 1149-1158
|
| [37] |
Nakhodchi N, Bollen MHJ, Busatto T. Transfer of harmonics in distribution networks. IEEE Trans Power Deliv, 2022, 37(3): 1617-1626
|
| [38] |
Busatto T, Larsson A, Rönnberg SK, et al.. Including uncertainties from customer connections in calculating low-voltage harmonic impedance. IEEE Trans Power Deliv, 2019, 34(2): 606-615
|
| [39] |
Lennerhag O, Bollen MHJ. A stochastic aggregate harmonic load model. IEEE Trans Power Deliv, 2020, 35(5): 2127-2135
|
| [40] |
Östlund S (2012) Electric railway traction, 10th edn. KTH Royal Institute of Technology, Stockholm
|
| [41] |
Laury J (2019) Stability of low-frequency AC railways : models and transient stability. Dissertation, Luleå University of Technology
|
| [42] |
Mariscotti A. Impact of harmonic power terms on the energy measurement in AC railways. IEEE Trans Instrum Meas, 2020, 69(9): 6731-6738
|
| [43] |
Salles RS, Asplund R, Rönnberg SK. Mapping and assessment of harmonic voltage levels for railway traction supply stations in Sweden. Electr Power Syst Res, 2025, 239 111195
|
| [44] |
Mariscotti A, Sandrolini L. Detection of harmonic overvoltage and resonance in AC railways using measured pantograph electrical quantities. Energies, 2021, 14(18): 5645
|
| [45] |
Dommel HW. Overhead line parameters from handbook formulas and computer programs. IEEE Trans Power Appar Syst, 1985, PAS-104(2366-372
|
| [46] |
Arrillaga J, Smith BC, Watson NR, et al.. Power system harmonic analysis, 1997, Hoboken, Wiley
|
| [47] |
Ribeiro PF (1985) Investigations of harmonic penetration in transmission systems. Dissertation, Victoria University of Manchester
|
| [48] |
Hu H, Tao H, Blaabjerg F, et al.. Train–network interactions and stability evaluation in high-speed railways—part I: phenomena and modeling. IEEE Trans Power Electron, 2018, 33(6): 4627-4642
|
| [49] |
Tao H, Hu H, Wang X, et al.. Impedance-based harmonic instability assessment in a multiple electric trains and traction network interaction system. IEEE Trans Ind Appl, 2018, 54(5): 5083-5096
|
| [50] |
Lv X, Wang X, Che Y, et al.. Eigenvalue-based harmonic instability analysis of electrical railway vehicle-network system. IEEE Trans Transp Electrif, 2019, 5(3): 727-744
|
Funding
Trafikverket(24579)
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