[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-86183-en":3,"doc-seo-86183-105":30,"detail-sidebar-cat-0-en-105":91},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":13,"seo_description":14,"update_tm":28,"read_time":29},86183,13056703019662,"Evangeline","https://ap-avatar.wpscdn.com/avatar/be000253a8e92610077?_k=1778726343310543188",8,"Research & Report","Multiple Vehicles and Traction Network Interaction System Stability Analysis and Oscillation Responsibility Identification","Electrical incompatibility between railway vehicles and the traction power network can trigger system instability and oscillation overvoltage. While impedance-based frequency-domain methods are widely used for stability analysis, practical deployment is hindered by the need for accurate analytical models and detailed internal vehicle parameters. Because multiple vehicles operate simultaneously with different conditions, critical vehicles must be identified to prevent resonance accidents. A component-connection-based modeling approach is proposed using only measured impedance, paired with a multilevel sensitivity analysis that reduces computational complexity, and is validated on realistic train schedules.","Multiple Vehicles and Traction Network Interaction System Stability Analysis and Oscillation Responsibility Identification  \nXiangyu Meng, Qiao Zhang, Zhigang Liu, Guiyang Hu, Fang Liu, Guinan Zhang  \narXiv :2607 . 11243v1 [ ee ss . SY] 13 Jul 2026  \nAbstract—The electrical incompatibility between vehicles and traction network in railway system can result in system instability and oscillation overvoltage issues. To analyze the system stability, impedance-based frequency-domain methods are commonly used. However, the current impedance-based modeling methods face challenges in practical implementation due to the requirement of precise analytical models and detailed internal parameters for all vehicles. Moreover, multiple vehicles operate simultaneously in railway systems, each with different operating conditions and internal parameters, thereby influencing system stability to different extents. Therefore, it is crucial to accurately identify the critical vehicles to prevent resonance accidents. To address these challenges, a component connection-based modeling approach for the railway vehicle-grid system is proposed, which only requires the measured impedance results without the internal information of vehicles. In addition, a multilevel sensitivity analysis method is introduced to quantitatively identify the critical vehicles and internal parameters that influence system stability, which outperforms traditional sensitivity analysis methods in computational complexity. Furthermore, a system-level electrical compatibility test process for the railway vehicle-grid system is provided, incorporating the proposed stability and sensitivity analysis methods. Finally, case studies based on the real-world train schedule of a multivehicle-accessed railway vehicle-grid system are designed to verify the correctness of the proposed method.  \nIndex Terms-Compatibility test, oscillation, railway, sensitivity analysis, stability, vehicle-grid system.  \nNOMENCLATURE  \nHSR High-speed railway. LFO Low-frequency oscillation.  \n\n| HIS | Harmonic instability. |\n| --- | --- |\n| PoC | Point of connection. |\n| PCC | Point of common coupling. |\n| CCM | Component connection method. |\n| EMUs | Electric multiple units. |\n| VSC | Voltage source converters. |\n| CW | Contact wire. |\n| RW | Rail wire. |\n| FW | Feeder wire. |\n| AT | Auto transformer. |\n| MFD | Mirror frequency decouple. |\n| MIMO | Multiple-input multiple-output. |\n| GNSC | Generalized Nyquist stability criterion. |\n| TM | Traction mode. |\n| POM | Preparation operation mode. |\n| RBM | Regenerative braking mode. |\n| OCLs | Overhead contact lines. |\n| HIL | Hardware-in-the-loop. |\n\nI. INTRODUCTION  \nBY THE end of 2021, China’s HSR had reached an operating mileage of 40000 km , accounting for over two-thirds of the world’s HSR mileage [1] . However, a series of HIS issues have occurred in the railway system in recent years. For instance, in 2015, LFO issues were discovered in the traction network voltage of a railway substation in Xuzhou, China, where multiple HXD2B locomotives were locked down due to the transient fluctuated line-side overvoltage and overcurrent at 0.6 − 2 Hz [2] .  \nThe railway HIS problems are caused by the interaction between vehicles and the traction power supply system, as defined in the EN 50388-2022 Standard [3] . To evaluate the harmonic risk associated with integrating new elements into railway vehicle-grid systems, compatibility tests are necessary. The railway infrastructure manager needs to perform systemlevel stability assessments, in collaboration with the rolling stock suppliers, to ensure the integration is free from hazards. To prevent HIS issues, the line-side controllers of the traction converter are required to tune passive properties within a given frequency range, where the real part of the vehicle’s input admittance is positive. In recent years, numerous inputimpedance or input-admittance models have been established for different  \ntypes of vehicles to optim","cbCaid2WjO7HupJz","https://ap.wps.com/l/cbCaid2WjO7HupJz","pdf",1972620,4,1,16,"English","en",105,"# Introduction\n## Motivation and background of HIS\n## Compatibility tests for vehicle-grid integration\n## Limitations of existing impedance and eigenvalue methods\n## Sensitivity analysis for critical factors","[{\"question\":\"Why can railway vehicle-grid electrical incompatibility cause instability and oscillation overvoltage?\",\"answer\":\"The instability and oscillation stem from the electrical interaction between vehicles and the traction power supply system, where incompatible characteristics can drive harmful harmonic behavior.\"},{\"question\":\"What main challenge limits current impedance-based stability analysis in practice?\",\"answer\":\"Conventional methods require precise analytical models and detailed internal parameters for all vehicles, which are often unavailable in real deployments.\"},{\"question\":\"How does the proposed approach identify critical vehicles without internal vehicle information?\",\"answer\":\"It uses a component connection-based modeling method for the vehicle-grid system that relies on measured impedance results, then applies multilevel sensitivity analysis to quantitatively identify the vehicles and parameters most influencing stability.\"}]",1784209187,40,{"code":4,"msg":31,"data":32},"ok",{"site_id":25,"language":24,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":86,"head_meta":88,"extra_data":90,"updated_unix":28},"multiple-vehicles-and-traction-network-interaction-system-stability-analysis-and-oscillation-responsibility-identification","",{"@graph":36,"@context":85},[37,53,68],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"item":41,"name":42,"@type":43,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":50},"https://docshare.wps.com/document/research-report/",3,{"item":52,"name":13,"@type":43,"position":20},"https://docshare.wps.com/document/multiple-vehicles-and-traction-network-interaction-system-stability-analysis-and-oscillation-responsibility-identification/86183/",{"url":52,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":24,"description":14,"dateModified":61,"datePublished":62,"encodingFormat":60,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":41,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-07-27","2026-07-16",true,{"@type":65,"interactionType":66,"userInteractionCount":20},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71,77,81],{"name":72,"@type":73,"acceptedAnswer":74},"Why can railway vehicle-grid electrical incompatibility cause instability and oscillation overvoltage?","Question",{"text":75,"@type":76},"The instability and oscillation stem from the electrical interaction between vehicles and the traction power supply system, where incompatible characteristics can drive harmful harmonic behavior.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"What main challenge limits current impedance-based stability analysis in practice?",{"text":80,"@type":76},"Conventional methods require precise analytical models and detailed internal parameters for all vehicles, which are often unavailable in real deployments.",{"name":82,"@type":73,"acceptedAnswer":83},"How does the proposed approach identify critical vehicles without internal vehicle information?",{"text":84,"@type":76},"It uses a component connection-based modeling method for the vehicle-grid system that relies on measured impedance results, then applies multilevel sensitivity analysis to quantitatively 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