Skip to main content
Log in

Current differential protection of double-circuit transmission lines in modal domain

  • Original Paper
  • Published:
Electrical Engineering Aims and scope Submit manuscript

Abstract

In this paper, we present a new approach to protection of double-circuit transmission lines using modal transformation. The current differential principle is applied in the modal domain, and the relay characteristics are plotted in the alpha plane for numerical differential protection applications. Synchronized voltages and currents from both the ends are transformed to modal values. The transmission lines are modeled as equivalent \(\pi \) model in modal domain, and line charging current is compensated. Electromagnetic transient program EMTP-ATP is used to simulate the double-circuit transmission systems, and the algorithm is implemented in MATLAB. The extensive case studies demonstrate the utility and the superiority of the proposed current differential scheme.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Tziouvaras D, Altuve H, Calero F (2014) Protecting mutually coupled transmission lines: challenges and solutions. In: 67th annual conference for protective relay engineers. pp 30–49. https://doi.org/10.1109/CPRE.2014.6798993

  2. Apostolov A, Tholomier D, Sambasivan S, Richards S (2007) Protection of double circuit transmission lines. In: Proceedings of the IEEE 60th annual conference for protective relay engineers. pp 85–101. https://doi.org/10.1109/CPRE.2007.359893

  3. Xu Z, Du Z, Ran L et al (2007) A current differential relay for a 1000 kV UHV transmission line. IEEE Trans Power Deliv 22:1392–1399. https://doi.org/10.1109/TPWRD.2007.900274

    Article  Google Scholar 

  4. Dambhare S, Soman S, Chandorkar M (2009) Adaptive current differential protection schemes for transmission-line protection. IEEE Trans Power Deliv 24:1832–1841. https://doi.org/10.1109/TPWRD.2009.2028801

    Article  Google Scholar 

  5. Adamiak M, Apostolov A, Begovic M et al (2006) Wide area protection technology and infrastructures. IEEE Trans Power Deliv 21:601–609. https://doi.org/10.1109/TPWRD.2005.855481

    Article  Google Scholar 

  6. Li H, Southern E, Crossley P et al (1997) A new type of differential feeder protection relay using the global positioning system for data synchronization. IEEE Trans Power Deliv 12:1090–1099. https://doi.org/10.1109/61.636902

    Article  Google Scholar 

  7. Deng X, Yuan R, Li T et al (2015) Digital differential protection technique of transmission line using instantaneous active current: theory, simulation and experiment. IET Gener Transm Distrib 9:996–1005. https://doi.org/10.1049/iet-gtd.2014.0317

    Article  Google Scholar 

  8. Bolandi T, Seyedi H, Hashemi S et al (2015) Impedance-differential protection: a new approach to transmission-line pilot protection. IEEE Trans Power Deliv 30:2510–2518. https://doi.org/10.1109/TPWRD.2014.2387689

    Article  Google Scholar 

  9. Almeida M, Silva K (2017) Transmission lines differential protection based on an alternative incremental complex power alpha plane. IET Gener Transm Distrib 11:10–17. https://doi.org/10.1049/iet-gtd.2016.0229

    Article  Google Scholar 

  10. Gilany M, Malik O, Hope G (1992) A digital protection technique for parallel transmission lines using a single relay at each end. IEEE Trans Power Deliv 7:118–125. https://doi.org/10.1109/61.924814

    Article  Google Scholar 

  11. Eissa M, Malik O (1996) A new digital directional transverse differential current protection technique. IEEE Trans Power Deliv 11:1285–1291. https://doi.org/10.1109/61.517482

    Article  Google Scholar 

  12. Bollen M (1993) Traveling-wave-based protection of double-circuit lines. Proc IEE C Gener Transm Distrib. https://doi.org/10.1049/ip-c.1993.0006

    Article  Google Scholar 

  13. Wang Q, Dong X, Bo Z et al (2005) Protection scheme of cross differential relay for double transmission lines. Power Eng Soc Gener Meeting 3:2697–2701. https://doi.org/10.1109/PES.2005.1489524

    Article  Google Scholar 

  14. Wang H, Du D, Bo Z et al (2006) An integrated current differential protection scheme. In: International conference on power system technology, PowerCon. pp 1–6. https://doi.org/10.1109/ICPST.2006.321945

  15. Unde S, Dambhare S (2011) GPS synchronised current differential protection of mutually coupled line. In: International conference on power and energy systems. pp 1–6. https://doi.org/10.1109/ICPES.2011.6156629

  16. Ma J, Shi M et al (2015) Location method for interline and grounded faults of double-circuit transmission lines based on distributed parameters. IEEE Trans Power Deliv 30:1307–1316. https://doi.org/10.1109/TPWRD.2014.2360076

    Article  Google Scholar 

  17. Hasheminejad S, Seifossadat SG, Joorabian M (2017) New travelling-wave-based protection algorithm for parallel transmission lines during inter-circuit faults. IET Gener Transm Distrib 11:3984–3991. https://doi.org/10.1049/iet-gtd.2017.0027

    Article  Google Scholar 

  18. Zhang N, Dong X, Bo Z et al (2007) Performance comparison of current differential protection scheme based on symmetrical components. In: 2007 42nd international universities power engineering conference. pp 305–309. https://doi.org/10.1109/UPEC.2007.4468965

  19. Benmouyal G, Mooney JB (2007) Advanced sequence elements for line current differential protection. https://selinc.com/api/download/3695. Accessed 19 Dec 2018

  20. Unde S, Dambhare S (2016) Differential protection of mutually coupled lines in modal domain using synchronized measurements. In: National power systems conference (NPSC), Bhubaneswar. pp 1–5. https://doi.org/10.1109/NPSC.2016.7858915

  21. Dommel H (1996) EMTP theory book. Microtran Power System Analysis Corporation, Vancouver

    Google Scholar 

  22. Unde S, Dambhare S (2016) PMU based fault location for double circuit transmission lines in modal domain. In: IEEE (ed) IEEE power and energy society general meeting (PESGM). pp 1–4. https://doi.org/10.1109/PESGM.2016.7741819

  23. Warrington ARVC (1962) Protective relays: their theory and practice, vol 1. Chapman and Hall, London

    Google Scholar 

  24. Benmouyal G (2011) The trajectories of line current differential faults in the alpha plane. https://selinc.com/api/download/3192. Accessed 19 Dec 2018

  25. Sarangi S, Pradhan AK (2017) Adaptive \(\alpha \)-plane line differential protection. IET Gener Transm Distrib 11:2468–2477. https://doi.org/10.1049/iet-gtd.2016.0943

    Article  Google Scholar 

  26. Kasztenny B, Fischer N, Altuve H (2011) Tutorial on operating characteristics of microprocessor based multiterminal line current differential relays. https://selinc.com/api/download/98362. Accessed 19 Dec 2018

  27. Saha M, Rosolowski E, Izykowski J et al (2010) An efficient method for faulty phase selection in transmission lines. In: 10th IET international conference on developments in power system protection (DPSP 2010). pp 1–5. https://doi.org/10.1049/cp.2010.0320. Accessed 19 Dec 2018

  28. Benmouyal G, Lee T (2004) Securing sequence current differential elements. https://selinc.com/literature/technical-papers/. Accessed 19 Dec 2018

  29. Wu Z, Thomas K, Sun R et al (2012) Three-phase instrument transformer calibration with synchronized phasor measurements. In: IEEE PES innovative smart grid technologies (ISGT), Washington, DC. pp 1–6. https://doi.org/10.1109/ISGT.2012.6175540

  30. Li S, Chen W, Yin X, Chen D, Malik O (2018) Integrated transverse differential protection scheme for double-circuit lines on the same tower. IEEE Trans Power Deliv 33:2161–2169. https://doi.org/10.1109/TPWRD.2017.2765762

    Article  Google Scholar 

  31. CIGRE SC34-WG04 (1991) CIGRE application guide on protection of complex transmission network configurations. https://e-cigre.org/publication/064-application-guide-on-protection-of-complex-transmission-network-configurations. Accessed 19 Dec 2018

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Snehal Unde.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Unde, S., Dambhare, S. Current differential protection of double-circuit transmission lines in modal domain. Electr Eng 102, 2401–2411 (2020). https://doi.org/10.1007/s00202-020-01038-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00202-020-01038-y

Keywords

Navigation