Cost Allocation of Voltage Unbalance in Distribution Networks

Kennedy, Joel ORCID: and Morcos, Martina and Lo, Assane (2020) Cost Allocation of Voltage Unbalance in Distribution Networks. In: 19th International Conference on Harmonics and Quality of Power (ICHQP 2020), 6 Jul - 7 Jul 2020, Dubai, UAE.


The proliferation of distributed generation has increased the complexity of voltage regulation in distribution networks. Asymmetrical line impedance, the presence of single phase generation and unbalanced loading can produce voltage unbalance. The performance of high efficiency three-phase induction machines drops significantly with voltage unbalance. Currently, there is no mechanism to ensure that a customer in ownership of a voltage unbalance sensitive load is compensated for excessive voltage unbalance. In response, the authors propose a market framework where compensation is to be paid between offending and affected customers where voltage unbalance limits are exceeded. The ideal compensation payments are calculated using Shapley values, but this technique is found to be prohibitively computationally expensive for large numbers of loads. An approximate method using voltage unbalance sensitivities is proposed as a remedy. The approximate method is compared with the Shapley value method using a nine load bus case study with a voltage unbalance violation compensation cost of $10. The results show a $2.11 root mean squared error for individual voltage unbalance compensation calculations over 1000 randomly generated cases with an unacceptable voltage unbalance. The diversification of compensation payments over many violations substantially reduced the error.

Statistics for USQ ePrint 44787
Statistics for this ePrint Item
Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: No Faculty
Faculty/School / Institute/Centre: No Faculty
Date Deposited: 06 Apr 2022 23:27
Last Modified: 30 May 2022 03:01
Uncontrolled Keywords: distribution networks; distributed generation; voltage unbalance; Shapley value method
Fields of Research (2020): 40 ENGINEERING > 4008 Electrical engineering > 400805 Electrical energy transmission, networks and systems
Identification Number or DOI:

Actions (login required)

View Item Archive Repository Staff Only