Abstract
This paper proposes a fuzzy spiking neural P system with self-synapse (in short, FSNPSS) which is applied to the reliability assessment of distribution networks. The method maps the operation or fault states of the distribution network component and the load to the excited or resting states of neurons, and converts electrical relationships among components, loads and targeted systems into a synaptic connection relationship. Then, the occurrence probabilities of the states are transmitted by spikes, and reliability indices are computed by accumulating pulse values of the spikes. Finally, the feasibility and effectiveness of solving reliability assessment of distribution networks by membrane systems are verified in case studies.
Similar content being viewed by others
References
Heydt, G. T., & Graf, T. J. (2010). Distribution system reliability evaluation using enhanced samples in a monte carlo approach. IEEE Transactions on Power Systems, 25(4), 2006–2008.
Hou, K., Jia, H., Xu, X., Liu, Z., & Jiang, Y. (2015). A continuous time markov chain based sequential analytical approach for composite power system reliability assessment. IEEE Transactions on Power Systems, 31(1), 738–748.
Yu, D. C., Nguyen, T. C., & Haddawy, P. (1999). Bayesian network model for reliability assessment of power systems. IEEE Transactions on Power Systems, 14(2), 426–432.
Zhu, Y., Huo, L., Zhang, L., & Yan, W. (2008). Bayesian network based time-sequence simulation for power system reliability assessment. In: Mexican International Conference on Artificial Intelligence.
Liai, G., Yongjie, Z., Kun, S., Chenwei, H., & Limin, H. (2016). Bayesian networks application to reliability evaluation of distribution systems containing micro-grids or looped network. International Journal of Grid and Distributed Computing, 1(1), 8.
Păun, G. (2000). Computing with membranes. Journal of Computer and System Sciences, 61(1), 108–143.
Ionescu, M., Păun, G., & Yokomori, T. (2006). Spiking neural p systems. Fundamenta informaticae, 71(2, 3), 279–308.
Rozenberg, G., & Salomaa, A. (2010). The oxford handbook of membrane computing. Oxford: Oxford University Press.
Song, T., Pan, L., Wu, T., Zheng, P., Wong, M. D., & Rodríguez-Patón, A. (2019). Spiking neural p systems with learning functions. IEEE transactions on nanobioscience, 18(2), 176–190.
Gutiérrez-Naranjo, M. A., & Pérez-Jiménez, M. J. (2008). Hebbian learning from spiking neural p systems view. International workshop on membrane computing (pp. 217–230). Berlin: Springer.
Cabarle, F. G. C., Adorna, H. N., Pérez-Jiménez, M. J., & Song, T. (2015). Spiking neural p systems with structural plasticity. Neural Computing and Applications, 26(8), 1905–1917.
Cabarle, F. G. C., Adorna, H. N., Jiang, M., & Zeng, X. (2017). Spiking neural p systems with scheduled synapses. IEEE Transactions on Nanobioscience, 16(8), 792–801.
Jimenez, Z. B., Cabarle, F. G. C., de la Cruz, R. T. A., Buño, K. C., Adorna, H. N., Hernandez, N. H. S., et al. (2019). Matrix representation and simulation algorithm of spiking neural p systems with structural plasticity. Journal of Membrane Computing, 1(3), 145–160.
de la Cruz, R. T. A., Cabarle, F. G., & Adorna, H. N. (2019). Generating context-free languages using spiking neural p systems with structural plasticity. Journal of Membrane Computing, 1(3), 161–177.
Cabarle, F. G. C., de la Cruz, R. T. A., Zhang, X., Jiang, M., Liu, X., & Zeng, X. (2018). On string languages generated by spiking neural p systems with structural plasticity. IEEE Transactions on Nanobioscience, 17(4), 560–566.
Cabarle, F. G. C., Adorna, H. N., & Pérez-Jiménez, M. J. (2016). Sequential spiking neural p systems with structural plasticity based on max/min spike number. Neural Computing and Applications, 27(5), 1337–1347.
Pan, L., Păun, G., & Pérez-Jiménez, M. J. (2011). Spiking neural p systems with neuron division and budding. Science China Information Sciences, 54(8), 1596.
Pan, L., & Păun, G. (2009). Spiking neural p systems with anti-spikes. International Journal of Computers Communications and Control, 4(3), 273–282.
Pan, L., Wang, J., & Hoogeboom, H. J. (2012). Spiking neural p systems with astrocytes. Neural Computation, 24(3), 805–825.
Liu, W., Wang, T., Zang, T., Huang, Z., Wang, J., Huang, T., et al. (2020). A fault diagnosis method for power transmission networks based on spiking neural p systems with self-updating rules considering biological apoptosis mechanism. Complexity,. https://doi.org/10.1155/2020/2462647.
Wang, T., Wei, X., Huang, T., Wang, J., Peng, H., Pérez-Jiménez, M. J., et al. (2019). Modeling fault propagation paths in power systems: A new framework based on event snp systems with neurotransmitter concentration. IEEE Access, 7, 12798–12808.
Zhang, G., Pérez-Jiménez, M. J., & Gheorghe, M. (2017). Real-life applications with membrane computing (Vol. 25). Berlin: Springer.
Rong, H., Wu, T., Pan, L., & Zhang, G. (2018). Enjoying natural computing. Spiking neural p systems: theoretical results and applications (pp. 256–268). Berlin: Springer.
Hong, P., Wang, J., Pérez-Jiménez, M. J., Hao, W., Jie, S., & Tao, W. (2013). Fuzzy reasoning spiking neural p system for fault diagnosis. Information Sciences, 235(6), 106–116.
Wang, J., Shi, P., Peng, H., Pérez-Jiménez, M. J., & Wang, T. (2013). Weighted fuzzy spiking neural p systems. IEEE Transactions on Fuzzy Systems, 21(2), 209–220.
Min, T. U., Wang, J., Hong, P., & Peng, S. (2014). Application of adaptive fuzzy spiking neural p systems in fault diagnosis of power systems. Chinese Journal of Electronics, 23(1), 87–92.
Wang, T., Zhang, G., Zhao, J., He, Z., Wang, J., & Pérez-Jiménez, M. J. (2014). Fault diagnosis of electric power systems based on fuzzy reasoning spiking neural p systems. IEEE Transactions on Power Systems, 30(3), 1182–1194.
Wang, J., Peng, H., Tu, M., Shi, P., et al. (2016). A fault diagnosis method of power systems based on an improved adaptive fuzzy spiking neural p systems and pso algorithms. Chinese Journal of Electronics, 25(2), 320–327.
Xiong, G., Shi, D., & Lin, Z. (2013). Duan X (2013) A new approach to fault diagnosis of power systems using fuzzy reasoning spiking neural p systems. Mathematical Problems in Engineering, 1, 211–244.
Yin, L., Zheng, R., Ke, W., He, Q., Zhang, Y., Li, J., et al. (2018). Autapses enhance bursting and coincidence detection in neocortical pyramidal cells. Nature communications, 9(1), 4890.
Bekkers, J. M. (2009). Synaptic transmission: excitatory autapses find a function? Current Biology, 19(7), R296–R298.
Wang, T., Zhang, G., & Pérez-Jiménez, M. J. (2015a). Fuzzy membrane computing: theory and applications. International Journal of Computers Communications & Control, 10(6), 144–175.
Allan, R. N., Billinton, R., Sjarief, I., Goel, L., & So, K. S. (1991). A reliability test system for educational purposes-basic distribution system data and results. IEEE Transactions on Power Systems, 6(2), 813–820.
Pan, L., Zeng, X., Zhang, X., & Jiang, Y. (2012). Spiking neural p systems with weighted synapses. Neural Processing Letters, 35(1), 13–27.
Wang, T., Zhang, G., Pérez-Jiménez, M. J., & Cheng, J. (2015b). Weighted fuzzy reasoning spiking neural p systems: application to fault diagnosis in traction power supply systems of high-speed railways. Journal of Computational and Theoretical Nanoscience, 12(7), 1103–1114.
Li, W. (2014). Risk assessment of power systems: models, methods, and applications. Hoboken: John Wiley and Sons.
Acknowledgements
This work was supported by a grant from Sichuan Provincial Department of Science and Technology (No. 2019122).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Huang, Y., Wang, T., Wang, J. et al. Reliability evaluation of distribution network based on fuzzy spiking neural P system with self-synapse. J Membr Comput 3, 51–62 (2021). https://doi.org/10.1007/s41965-020-00035-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s41965-020-00035-1