References
- Y. C. Chen and S. V. Dhople, “Tracing power with circuit theory,” IEEE Trans. Smart Grid, vol. 11, no. 1, pp. 138–147, Jan. 2020. DOI: 10.1109/TSG.2019.2928258.
- E. Acha, C. R. Fuerte-Esquivel, H. Ambriz-Pérez and C. Angeles-Camacho, FACTS Modelling and Simulation in Power Networks, 1st ed., Chichester, SXW, Eng.: Wiley, 2004.
- C. M. Davis, J. D. Weber and K. Johnson, “Circulating MW and Mvar flows in large systems,” in Proc. 41st North American Power Symposium, 2009, pp. 1–6.
- C. Achayuthakan, C. Dent, J. Bialek and W. Ongsakul, “Electricity tracing in systems with and without circulating flows: Physical insights and mathematical proofs,” IEEE Trans. Power Syst, vol. 25, no. 2, pp. 1078–1087, May 2010. DOI: 10.1109/TPWRS.2009.2037506.
- K. Berg, “Power flow tracing: Methods and algorithms,” M. Eng. Dissertation, Dept. Elect. Power Eng., Norwegian Univ. Sci. and Tech., Trøndelag, NO, 2017.
- Midwest ISO, and PJM, “Investigation of loop flows across combined Midwest ISO and PJM footprint: Phase II,” Midwest ISO, and PJM, Report, 2008. Available: https://www.miso-pjm.com/∼/∼/media/6A3A3B32A0E54EED877E5EFBE9846DA4.ashx. Accessed: Jan. 12, 2023.
- New York Independent System Operator, “Lake Erie loop flow mitigation,” NYISO, NY, USA, Report, 2008. Available: https://studylib.net/doc/18746699/lake-erie-loop-flow-mitigation. Accessed: Jan. 12, 2023.
- S. Cvijić and M. D. Ilić, “Part I: A new framework for modeling and tracing of bilateral transactions and the corresponding loop flows in multi-control area power networks,” IEEE Trans. Power Syst., vol. 29, no. 6, pp. 2706–2714, Nov. 2014. DOI: 10.1109/TPWRS.2014.2312376.
- M. Ndrio, S. Bose, L. Tong and Y. Gou, “Coordinated transaction scheduling in multi-area electricity markets: Equilibrium and learning,” arXiv, pp. 1–22, 2021. Available: https://arxiv.org/abs/2006.03618. Accessed: Jan. 12, 2023.
- J. Bialek and D. B. Tam, “Tracing the generators’ output,” in Int. Conf. Opportunities and Adv. in Int. Elect. Power Gener, 1996, pp. 133–136.
- J. Bialek, “Identification of source-sink connections in transmission networks,” in Proc. 4th Int. Conf. Power Syst. Control and Management, 1996, pp. 200–204.
- J. Bialek, “Tracing the flow of electricity,” IEE Proc., Gener. Transm. Distrib., vol. 143, no. 4, pp. 313–320, July 1996. DOI: 10.1049/ip-gtd:19960461.
- J. Bialek, “Topological generation and load distribution factors for supplement charge allocation in transmission open access,” IEEE Trans. Power Syst., vol. 12, no. 3, pp. 1185–1193, Aug. 1997. DOI: 10.1109/59.630460.
- D. Kirschen, R. Allan and G. Strbac, “Contributions of individual generators to loads and flows,” IEEE Trans. Power Syst., vol. 12, no. 1, pp. 52–60, Feb. 1997. DOI: 10.1109/59.574923.
- F. F. Wu, Y. Ni and P. Wei, “Power transfer allocation for open access using graph theory-fundamentals and applications in systems without loopflow,” IEEE Trans. Power Syst., vol. 15, no. 3, pp. 923–929, Aug. 2000. DOI: 10.1109/59.871714.
- H. Sun, D. C. Yu and Q. Zheng, “AC power flow tracing in transmission networks,” in Proc. IEEE PES Winter Meeting, 2000, pp. 1715–1720.
- J. W. Bialek and P. A. Kattuman, “Proportional sharing assumption in tracing methodology,” in,” IEE Proc., Gener. Transm. Distrib., vol. 151, no. 4, pp. 526–532, July 2004. DOI: 10.1049/ip-gtd:20040351.
- F. Hoffman and M. Scholt, “Price tricing: Linking nodal prices in optimized power systems,” arXiv, pp. 1–20, 2022. Available: https://arxiv.org/abs/2203.08902. Accessed: Jan. 12, 2023.
- Y. Dai, et al., “A cost allocation method for reactive power service based on power flow tracing,” Elect. Power Syst. Res., vol. 64, no. 1, pp. 59–65, Jan. 2003. DOI: 10.1016/S0378-7796(02)00147-5.
- A. Arya, G. Gupta and M. Dubey, “Enhancement of electricity wheeling charges by incorporating FACTS controller in restructured power system,” CSIT, vol. 8, no. 2, pp. 205–211, Jun. 2020. DOI: 10.1007/s40012-020-00296-2.
- M. Khosravi, H. Monsef and M. Aliabadi, “Network loss management and allocating the transmission losses to loads and generation units according to their transactions,” IET Generation, Transmission & Distribution, vol. 14, no. 8, pp. 1540–1551, Apr. 2020. DOI: 10.1049/iet-gtd.2019.0503.
- H. S. V. S. K. Nunna, et al., “Multiagent-based energy trading platform for energy storage systems in distribution systems with interconnected microgrids,” IEEE Trans. Ind. Applicat., vol. 56, no. 3, pp. 3207–3217, Jun. 2020. DOI: 10.1109/TIA.2020.2979782.
- Y. C. Chen and S. V. Dhople, “Power divider,” IEEE Trans. Power Syst., vol. 31, no. 6, pp. 5135–5143, Nov. 2016. DOI: 10.1109/TPWRS.2016.2519900.
- C. Wang, Y. Wang, M. Rouholamini and C. Miller, “An equivalent circuit-based approach for power and emission tracing in power networks,” IEEE Syst. J., vol. 16, no. 2, pp. 2206–2216, 2022. Jun. DOI: 10.1109/JSYST.2021.3067296.
- R. Zhang, et. al., “A power flow tracing method based on power electronic signaling for P2P electricity trading in dc microgrids,” IEEE Trans. Power Electron, vol. 37, no. 3, pp. 3570–3582, Mar. 2022. DOI: 10.1109/TPEL.2021.3114421.
- P. Wei, Y. Ni and F. F. Wu, “Load flow tracing in power systems with circulating power,” Int. J. Electr. Power Energy Syst., vol. 24, no. 10, pp. 807–813, Dec. 2002. DOI: 10.1016/S0142-0615(02)00008-X.
- Y. Chen, X. Liu and V. Venkatasubramanian, “Fast algorithms for detecting circular VAR flows in large power-flow models,” in Proc. 41st Hawaii Int. Conf. Syst. and Sci., 2008, pp. 1–10.
- R. Laguna-Velasco, C. Fuerte-Esquivel, E. Acha and H. Ambriz-Perez, “Generalised methodology to trace reactive power flow in electric power systems,” in Proc. 2001 IEEE Porto Power Tech, 2001, pp. 1–6.
- A. J. Wood, B. F. Wollenberg and G. B. Sheblé, Power Generation, Operation, and Control, 3rd ed., Hoboken, NJ: Eng., John Wiley and Sons, Ltd, 2013.
- R. Zimmerman and C. Murillo-Sanchez, MATPOWER. User’s Manual [Online]. Available: http://www.pserc.cornell.edu/matpower/. Accessed: Jan. 12, 2023.