Technical Papers
Jul 8, 2022

Bayesian Decision Network–Based Optimal Selection of Hardening Strategies for Power Distribution Systems

Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8, Issue 3

Abstract

Power distribution systems, composed of wood poles and wires, are susceptible to damage caused by strong winds during hurricanes or winter storms. Power outages induced by failed poles result in millions of revenue and restoration costs and impact millions of customers. Failure of aged wood poles is a major reason for power outages during hurricanes or winter storms. Replacing aging poles is an easy and effective approach but with a high cost to enhance radial power distribution poles. In this paper, the optimal enhancement strategy of the power distribution system was obtained through the Bayesian decision network (BDN), which is an ideal tool to deal with trade-off problems. Besides the economic benefit of the electricity utility company, the benefits of residential customers, namely the power supply reliability, were also integrated into the reference of decision makers through BDN. To determine priorities of the pole replacements, the component importance index of individual poles, instead of the commonly used component importance index of a line, was explored using physics-based reliability analysis rather than an identical mathematical model applied to all poles to describe their vulnerabilities. A surrogate model established by Bayesian regularization neural network (BRNN) was employed to save the computational cost in the Monte Carlo simulation of reliability analysis. The cost of the hardening strategy using the component importance index of each individual pole was about 80% of that with the component importance index of a line, which indicates that the component importance index of each individual pole is more effective. The optimal choice of strategies would vary with the utility function that describes the decision-making references because benefits between the utility company and customers might conflict with each other. When the utility company and customers are given the same priority in the hardening process against Category 5 hurricanes, the optimal pole replacement percentage was 30%.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request. The available data include the finite-element model, the failure probabilities of the poles, and the surrogate models.

Acknowledgments

The authors gratefully acknowledge the data and support of Eversource Energy Connecticut and the Eversource Energy Center at the University of Connecticut. This support is greatly appreciated.

References

Anaya, A. R., M. Luque, and T. García-Saiz. 2013. “Recommender system in collaborative learning environment using an influence diagram.” Expert Syst. Appl. 40 (18): 7193–7202. https://doi.org/10.1016/j.eswa.2013.07.030.
Arzaghi, E., M. M. Abaei, R. Abbassi, V. Garaniya, C. Chin, and F. Khan. 2017. “Risk-based maintenance planning of subsea pipelines through fatigue crack growth monitoring.” Eng. Fail. Anal. 79 (Sep): 928–939. https://doi.org/10.1016/j.engfailanal.2017.06.003.
Australian Standard on Timber Durability 2005. Australia Standards. AS 5604-2005. Chicago: SAI Global Limited.
Barber, D. 2011. Bayesian reasoning and machine learning. Cambridge, UK: Cambridge University Press.
Beck, H. E., N. E. Zimmermann, T. R. McVicar, N. Vergopolan, A. Berg, and E. F. Wood. 2018. “Present and future Köppen-Geiger climate classification maps at 1-km resolution.” Sci. Data 5 (1): 1–12. https://doi.org/10.1038/sdata.2018.214.
Bjarnadottir, S., Y. Li, and M. G. Stewart. 2014. “Risk-based economic assessment of mitigation strategies for power distribution poles subjected to hurricanes.” Struct. Infrastruct. Eng. 10 (6): 740–752. https://doi.org/10.1080/15732479.2012.759240.
Braik, A. M., A. M. Salman, and Y. Li. 2020. “Reliability-based assessment and cost analysis of power distribution systems at risk of tornado hazard.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 6 (2): 04020014. https://doi.org/10.1061/AJRUA6.0001055.
Brown, R. E. 2009. Cost-benefit analysis of the deployment of utility infrastructure upgrades and storm hardening programs. Raleigh, NC: Quanta Technology.
Catenacci, M., and C. Giupponi. 2013. “Integrated assessment of sea-level rise adaptation strategies using a Bayesian decision network approach.” Environ. Modell. Software 44 (Jun): 87–100. https://doi.org/10.1016/j.envsoft.2012.10.010.
Chen, C., J. Wang, F. Qiu, and D. Zhao. 2016. “Resilient distribution system by microgrids formation after natural disasters.” IEEE Trans. Smart Grid 7 (2): 958–966. https://doi.org/10.1109/TSG.2015.2429653.
CTECO (Connecticut Environmental Conditions Online). 2020. “Natural resource information and imagery for planning, management, education and research.” Accessed July 15, 2020. https://cteco.uconn.edu/.
Dagher, H. J. 2006. Reliability-based design of utility pole structures, 1–106. Reston, VA: ASCE.
Dan Foresee, F., and M. T. Hagan. 1997. “Gauss-Newton approximation to Bayesian learning.” In Vol. 3 of Proc., IEEE Int. Conf. on Neural Networks—Conf., 1930–1935. New York: IEEE.
Darestani, Y. M., A. Shafieezadeh, and R. DesRoches. 2018. “Effects of adjacent spans and correlated failure events on system-level hurricane reliability of power distribution lines.” IEEE Trans. Power Delivery 33 (5): 2305–2314. https://doi.org/10.1109/TPWRD.2017.2773043.
Davidson, R. A., H. Liu, K. Sarpong, P. Sparks, and D. V. Rosowsky. 2003. “Electric power distribution system performance in Carolina hurricanes.” Nat. Hazards Rev. 4 (1): 36–45. https://doi.org/10.1061/(ASCE)1527-6988(2003)4:1(36).
Dawid, A. P. 2002. “Influence Diagrams for Causal Modelling and Inference.” Int. Stat. Rev. 70 (2): 161–189. https://doi.org/10.2307/1403901.
Doyle, D. V., and L. J. Markwardt. 1966. Properties of southern pine in relation to strength grading of dimension lumber. Madison, WI: USDA, Forest Service, Forest Products Laboratory.
Farzin, H., M. Fotuhi-Firuzabad, and M. Moeini-Aghtaie. 2016. “Enhancing power system resilience through hierarchical outage management in multi-microgrids.” IEEE Trans. Smart Grid 7 (6): 2869–2879. https://doi.org/10.1109/TSG.2016.2558628.
Ferguson, P. F. B., M. J. Conroy, J. F. Chamblee, and J. Hepinstall-Cymerman. 2015. “Using structured decision making with landowners to address private forest management and parcelization: Balancing multiple objectives and incorporating uncertainty.” Ecol. Soc. 20 (4): 27. https://doi.org/10.5751/ES-07996-200427.
Francis, R. A., S. M. Falconi, R. Nateghi, and S. D. Guikema. 2011. “Probabilistic life cycle analysis model for evaluating electric power infrastructure risk mitigation investments.” Clim. Change 106 (1): 31–55. https://doi.org/10.1007/s10584-010-0001-9.
Garson, G. D. 1991. “Interpreting neural-network connection weights.” AI Expert 6 (4): 46–51.
Goh, A. T. C. 1995. “Back-propagation neural networks for modeling complex systems.” Artif. Intell. Eng. 9 (3): 143–151. https://doi.org/10.1016/0954-1810(94)00011-S.
Gustavsen, B., and L. Rolfseng. 2000. “Simulation of wood pole replacement rate and its application to life cycle economy studies.” IEEE Trans. Power Delivery 15 (1): 300–306. https://doi.org/10.1109/61.847266.
Hall, J., C. Twyman, and A. Kay. 2005. “Influence diagrams for representing uncertainty in climate-related propositions.” Clim. Change 69 (2–3): 343–365. https://doi.org/10.1007/s10584-005-2527-9.
Hines, P., J. Apt, and S. Talukdar. 2008. “Trends in the history of large blackouts in the United States.” In Proc., IEEE Power and Energy Society 2008 General Meeting: Conversion and Delivery of Electrical Energy in the 21st Century, PES. New York: IEEE.
Howard, R. A., and J. E Matheson. 1981. Principles and applications of decision analysis, 719–762. Palo Alto, CA: Strategic Decisions Group.
Howard, R. A., and J. E. Matheson. 2005. “Influence diagrams.” Decis. Anal. 2 (3): 127–143.
IEEE. 2017a. 2017 national electrical safety code (NESC). New York: IEEE.
IEEE. 2017b. 2017 national electrical safety code (NESC)(R). IEEE C2-2007. New York: IEEE.
Karagiannopoulos, M., D. Anyfantis, S. B. Kotsiantis, and P. E. Pintelas. 2007. “Feature selection for regression problems.” In Proc., 8th Hellenic European Research on Computer Mathematics & its Applications, HERCMA 2007, 20–22. Athens, Greece: Hellenic Ministries of Education.
Khosravi-Farmad, M., R. Rezaee, A. Harati, and A. G. Bafghi. 2014. “Network security risk mitigation using Bayesian decision networks.” In Proc., 4th Int. Conf. on Computer and Knowledge Engineering, ICCKE 2014, 267–272. Piscataway, NJ: IEEE.
LaCommare, K. H., and J. H. Eto. 2006. “Cost of power interruptions to electricity consumers in the United States (US).” Energy 31 (12): 1845–1855. https://doi.org/10.1016/j.energy.2006.02.008.
Larsen Porter, K., M. Zadeh, C. Van Anne, and C. T. Scawthorn. 1996. Impact of Hurricane Andrew on performance interaction and recovery of lifelines. San Francisco: EQE International.
Li, C., S. MahaDeVan, Y. Ling, S. Choze, and L. Wang. 2017a. “Dynamic Bayesian network for aircraft wing health monitoring digital twin.” AIAA J. 55 (3): 930–941. https://doi.org/10.2514/1.J055201.
Li, Z., M. Shahidehpour, F. Aminifar, A. Alabdulwahab, and Y. Al-Turki. 2017b. “Networked microgrids for enhancing the power system resilience.” Proc. IEEE 105 (7): 1289–1310. https://doi.org/10.1109/JPROC.2017.2685558.
Lin, Y. H., C. C. Lin, and Y. Y. Tyan. 2011. “An integrated quantitative risk analysis method for major construction accidents using fuzzy concepts and influence diagram.” J. Mar. Sci. Technol. 19 (4): 383–391. https://doi.org/10.51400/2709-6998.2179.
Lu, Q., W. Zhang, and A. C. Bagtzoglou. 2022. “Physics-based reliability assessment of community-based power distribution system using synthetic hurricanes.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 8 (1): 04021088. https://doi.org/10.1061/AJRUA6.0001205.
Ma, S., L. Su, Z. Wang, F. Qiu, and G. Guo. 2018. “Resilience enhancement of distribution grids against extreme weather events.” IEEE Trans. Power Syst. 33 (5): 4842–4853. https://doi.org/10.1109/TPWRS.2018.2822295.
MacKay, D. J. C. 1992. “Bayesian interpolation.” Neural Comput. 4 (3): 415–447. https://doi.org/10.1162/neco.1992.4.3.415.
Mensah, A. F., and L. Duenas-Osorio. 2014. “Outage predictions of electric power systems under hurricane winds by Bayesian networks.” In Proc., 2014 Int. Conf. on Probabilistic Methods Applied to Power Systems, PMAPS 2014—Conf. Piscataway, NJ: IEEE.
Miles, S. B., H. Gallagher, and C. J. Huxford. 2014. “Restoration and impacts from the September 8, 2011, San Diego power outage.” J. Infrastruct. Syst. 20 (2): 05014002. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000176.
Miller, A., M. Merkhofer, and R. Howard. 1976. Development of automated aids for decision analysis. Menlo Park, CA: Stanford Research Institute.
Morrell, J. J. 2016. “Estimated service life of wood poles.”. Accessed April 5, 2013. http://www.woodpoles.org/documents/TechBulletin_EstimatedServiceLifeofWoodPole_12-08. pdf.
Nguyen, T. T., J. Spehr, J. Xiong, M. Baum, S. Zug, and R. Kruse. 2017. “Online reliability assessment and reliability-aware fusion for Ego-Lane detection using influence diagram and Bayes filter.” In Proc., IEEE Int. Conf. on Multisensor Fusion and Integration for Intelligent Systems. New York: IEEE.
Olmsted, S. M. 1983. On representing and solving decision problems. Stanford, CA: Stanford Univ.
Ouyang, M., and L. Dueñas-Osorio. 2014. “Multi-dimensional hurricane resilience assessment of electric power systems.” Struct. Saf. 48 (May): 15–24. https://doi.org/10.1016/j.strusafe.2014.01.001.
Pearl, J. 1986. “Fusion, propagation, and structuring in belief networks.” Artif. Intell. 29 (3): 241–288. https://doi.org/10.1016/0004-3702(86)90072-X.
Penman, T. D., B. Cirulis, and B. G. Marcot. 2020. “Bayesian decision network modeling for environmental risk management: A wildfire case study.” J. Environ. Manage. 270 (Sep): 110735. https://doi.org/10.1016/j.jenvman.2020.110735.
Rausand, M., and A. Høyland. 2004. System reliability theory: Models, statistical methods, and applications. Hoboken, NJ: Wiley.
Reckhow, K. H. 1999. “Water quality prediction and probability network models.” Can. J. Fish. Aquat. Sci. 56 (7): 1150–1158. https://doi.org/10.1139/f99-040.
Sadoddin, A., R. A. Letcher, A. J. Jakeman, and L. T. H. Newham. 2005. “A Bayesian decision network approach for assessing the ecological impacts of salinity management.” Math. Comput. Simul. 69 (1–2): 162–176. https://doi.org/10.1016/j.matcom.2005.02.020.
Salman, A. M., and Y. Li. 2016. “Age-dependent fragility and life-cycle cost analysis of wood and steel power distribution poles subjected to hurricanes.” Struct. Infrastruct. Eng. 12 (8): 890–903. https://doi.org/10.1080/15732479.2015.1053949.
Salman, A. M., and Y. Li. 2018. “A probabilistic framework for multi-hazard risk mitigation for electric power transmission systems subjected to seismic and hurricane hazards.” Struct. Infrastruct. Eng. 14 (11): 1499–1519. https://doi.org/10.1080/15732479.2018.1459741.
Salman, A. M., Y. Li, and M. G. Stewart. 2015. “Evaluating system reliability and targeted hardening strategies of power distribution systems subjected to hurricanes.” Reliab. Eng. Syst. Saf. 144 (Dec): 319–333. https://doi.org/10.1016/j.ress.2015.07.028.
Shachter, R. D. 1986. “Evaluating influence diagrams.” Oper. Res. 34 (6): 871–882. https://doi.org/10.1287/opre.34.6.871.
Shachter, R. D. 1988. “Probabilistic inference and influence diagrams.” Oper. Res. 36 (4): 589–604. https://doi.org/10.1287/opre.36.4.589.
Shafieezadeh, A., U. P. Onyewuchi, M. M. Begovic, and R. Desroches. 2014. “Age-dependent fragility models of utility wood poles in power distribution networks against extreme wind hazards.” IEEE Trans. Power Delivery 29 (1): 131–139. https://doi.org/10.1109/TPWRD.2013.2281265.
Shaoyun, G., L. Jifeng, L. Hong, C. Yuchen, Y. Zan, and Y. Jun. 2019. “Assessing and boosting the resilience of a distribution system under extreme weather.” In Proc., IEEE Power and Energy Society General Meeting. New York: IEEE.
Sobol, I. M. 2001. “Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates.” Math. Comput. Simul. 55 (1): 271–280. https://doi.org/10.1016/S0378-4754(00)00270-6.
Stewart, A. H., and J. R. Goodman. 1990. “Life cycle economics of wood pole utility structures.” IEEE Trans. Power Delivery 5 (2): 1040–1046. https://doi.org/10.1109/61.53119.
Taras, A., G. Ratel, and L. Chouinard. 2004. “A life-cycle cost approach to the maintenance of overhead line supports.” In Reliability and optimization of structural systems, 241–249. Boca Raton, FL: CRC Press.
Tchaban, T., M. J. Taylor, and J. P. Griffin. 1998. “Establishing impacts of the inputs in a feedforward neural network.” Neural Comput. Appl. 7 (4): 309–317. https://doi.org/10.1007/BF01428122.
Tian, J., and Y. Li. 2014. “System dynamics assessment of mitigation strategies for power distribution poles subjected to hurricanes.” Nat. Hazard. 70 (2): 1263–1285. https://doi.org/10.1007/s11069-013-0879-4.
Varis, O., J. Kettunen, and H. Sirviö. 1990. “Bayesian influence diagram approach to complex environmental management including observational design.” Comput. Stat. Data Anal. 9 (1): 77–91. https://doi.org/10.1016/0167-9473(90)90072-P.
Virtanen, K., T. Raivio, and R. P. Hämäläinen. 2001. “Modeling pilot’s sequential maneuvering decisions by a multistage influence diagram.” In Proc., AIAA Guidance, Navigation, and Control Conference and Exhibit. Reston, VA: American Institute of Aeronautics and Astronautics.
Volkanovski, A., M. Čepin, and B. Mavko. 2009. “Application of the fault tree analysis for assessment of power system reliability.” Reliab. Eng. Syst. Saf. 94 (6): 1116–1127. https://doi.org/10.1016/j.ress.2009.01.004.
Wang, C., R. H. Leicester, and M. Nguyen. 2008. “Probabilistic procedure for design of untreated timber poles in-ground under attack of decay fungi.” Reliab. Eng. Syst. Saf. 93 (3): 476–481. https://doi.org/10.1016/j.ress.2006.12.007.
Wanik, D. W., E. N. Anagnostou, M. Astitha, B. M. Hartman, G. M. Lackmann, J. Yang, D. Cerrai, J. He, and M. E. B. Frediani. 2018. “A case study on power outage impacts from future Hurricane Sandy scenarios.” J. Appl. Meteorol. Climatol. 57 (1): 51–79. https://doi.org/10.1175/JAMC-D-16-0408.1.
Weflen, E., C. A. MacKenzie, and I. V. Rivero. 2022. “An influence diagram approach to automating lead time estimation in Agile Kanban project management.” Expert Syst. Appl. 187 (Jan): 115866. https://doi.org/10.1016/j.eswa.2021.115866.
Xu, L., and R. E. Brown. 2008. Undergrounding assessment phase 3 report: Ex ante cost and benefit modeling. Raleigh, NC: Quanta Technology.
Yuan, H., W. Zhang, J. Zhu, and A. C. Bagtzoglou. 2018. “Resilience assessment of overhead power distribution systems under strong winds for hardening prioritization.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 4 (4): 04018037. https://doi.org/10.1061/AJRUA6.0000988.
Zhu, Z. J. Y., and E. A. McBean. 2007. “Selection of water treatment processes using Bayesian decision network analyses.” J. Environ. Eng. Sci. 6 (1): 95–102. https://doi.org/10.1139/s06-030.
Zimmerman, R., Q. Zhu, F. de Leon, and Z. Guo. 2017. “Conceptual modeling framework to integrate resilient and interdependent infrastructure in extreme weather.” J. Infrastruct. Syst. 23 (4): 04017034. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000394.

Information & Authors

Information

Published In

Go to ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8Issue 3September 2022

History

Received: Jun 22, 2021
Accepted: Mar 25, 2022
Published online: Jul 8, 2022
Published in print: Sep 1, 2022
Discussion open until: Dec 8, 2022

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Connecticut, Storrs, CT 06269. Email: [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Connecticut, Storrs, CT 06269 (corresponding author). ORCID: https://orcid.org/0000-0001-8364-9953. Email: [email protected]
Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Connecticut, Storrs, CT 06269. ORCID: https://orcid.org/0000-0001-9957-137X. Email: [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of Connecticut, Storrs, CT 06269. ORCID: https://orcid.org/0000-0002-4707-4336. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Machine Learning-Based Restoration Forecast with Predictive Power Outage for Diverse Power Outage Scenarios, 2023 IEEE International Conference on Energy Technologies for Future Grids (ETFG), 10.1109/ETFG55873.2023.10407711, (1-6), (2023).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share