考虑节点过载的碳排放空间关联系统级联失效模型
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摘要
为提高突发事件级联失效对现实碳排放关联系统破坏程度的评估可信性,在传统复杂网络的"负载-容量"级联失效模型基础上,考虑个体成员对负载的冗余能力,提出一种过载失效概率,构建了考虑节点过载状态的级联失效模型,并基于节点特性提出了6种过载节点负载分配策略。仿真结果表明:在过载节点负载分配策略中,综合分配策略整体上较优,能够有效控制级联失效的规模,增加网络鲁棒性;在一定范围内提升过载参数有助于降低级联失效的影响,但提升到一定程度时改善效果不明显;在不同负载分配策略下,剩余系数存在一个最优值,容量可调参数存在最优区间,可以使碳排放关联网络保持较好鲁棒性的同时,花费较小的构建成本,其中紧密度分配策略对应的网络构建成本较高。
In order to increase the creability of the damage degree evaluation of cascading failure caused by emergency to carbon emission correlation system, considering the redundancy ability of individual members to load, an overload failure probability was proposed based on "load-capacity" cascade failure model of traditional complex network, and a cascading failure model was constructed considering load overload. Then, based on the characteristics of nodes, six load allocation strategies for overloaded nodes were raised. The simulation results show that, in the load allocation strategies of the overloaded nodes, the integrated allocation strategy is superior in general, which can effectively control the scale of cascading failure and increase the robustness of network; increasing the overloaded parameters in a certain range can help to reduce the impact of cascading failure, while the improvement effect is not significant when the parameters are too large; under different load allocation strategies, the residual coefficient has an optimal value and capacity adjustable parameters have optimal ranges which can keep the carbon emission correlation network in good robustness with low construction cost while the tight allocation strategy means high costruction cost.
In order to increase the creability of the damage degree evaluation of cascading failure caused by emergency to carbon emission correlation system, considering the redundancy ability of individual members to load, an overload failure probability was proposed based on "load-capacity" cascade failure model of traditional complex network, and a cascading failure model was constructed considering load overload. Then, based on the characteristics of nodes, six load allocation strategies for overloaded nodes were raised. The simulation results show that, in the load allocation strategies of the overloaded nodes, the integrated allocation strategy is superior in general, which can effectively control the scale of cascading failure and increase the robustness of network; increasing the overloaded parameters in a certain range can help to reduce the impact of cascading failure, while the improvement effect is not significant when the parameters are too large; under different load allocation strategies, the residual coefficient has an optimal value and capacity adjustable parameters have optimal ranges which can keep the carbon emission correlation network in good robustness with low construction cost while the tight allocation strategy means high costruction cost.
引文
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[2]WEI D Q,LUO X S,ZHANG B.Analysis of cascading failure in complex power networks under the load local preferential redistribution rule[J].Physica A:Statistical Mechanics and its Applications,2012,391(8):2771-2777.
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[10]丁琳,张嗣瀛.面向级联失效的复杂网络加权策略[J].控制与决策,2013,28(9):1399-1402.(DING L,ZHANG S Y.Cascading failures-oriented weighting strategies on complex network[J].Control and Decision,2013,28(9):1399-1402.)
[11]WANG J W,RONG L L,ZHANG L,et al.Attack vulnerability of scale-free networks due to cascading failures[J].Physica A:Statistical Mechanics and its Applications,2008,387(26):6671-6678.
[12]段东立,吴俊,邓宏钟,等.基于可调负载重分配的复杂网络级联失效模型[J].系统工程理论与实践,2013,33(1):203-208.(DUAN DL,WU J,DENG H Z,et al.Cascading failure model of complex networks based on tunable load redistribution[J].System EngineeringTheory and Practice,2013,33(1):203-208.)
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[14]袁铭.带有层级结构的复杂网络级联失效模型[J].物理学报,2014,63(22):220501-1-220501-8.(YUAN M.A cascading failure model of complex network with hierarchy structure[J].Acta Physica Sinica,2014,63(22):220501-1-220501-8.)
[15]曾宇.基于级联失效的社会经济系统脆弱性研究及其弹性优化[D].武汉:华中科技大学,2015:82-88.(ZENG Y.Vulnerability research of socio-economic system with cascading failures and its resilient optimization[D].Wuhan:Huazhong University of Science and Technology,2015:82-88.)
[16]KIM D H,MOTTER A E.Resource allocation pattern in infrastructure networks[J].Journal of Physics A:Mathematical and Theoretical,2008,41(22):224019-1-224019-8.
[17]郝羽成,李成兵,魏磊.考虑节点过载的复杂网络级联失效模型[J].系统工程与电子技术,2018,40(10):2282-2287.(HAO Y C,LI C B,WEI L.Cascading failure model of complex networks considering overloaded nodes[J].Systems Engineering and Electronics,2018,40(10):2282-2287.)
[18]李勇,吴俊,谭跃进.容量均匀分布的物流保障网络级联失效抗毁性[J].系统工程学报,2010,25(6):853-860.(LI Y,WU J,TAN Y J.Invulnerability study for cascading failure of the logistics support networks of capacity evenly distributed[J].Journal of Systems Engineering,2010,25(6):853-860.)
[19]朱林,方胜良,王劲松,等.面向体系作战的空间通信网络级联失效模型[J].系统仿真学报,2018,30(6):2144-2152.(ZHUL,FANG S L,WANG J S,et al.Space Communication network cascading failure model oriented system combat[J].Journal of System Simulation,2018,30(6):2144-2152.)
[2]WEI D Q,LUO X S,ZHANG B.Analysis of cascading failure in complex power networks under the load local preferential redistribution rule[J].Physica A:Statistical Mechanics and its Applications,2012,391(8):2771-2777.
[3]ROHDEN M,JUNG D,TAMRAKAR S,et al.Cascading failures in AC electricity grids[J].Physical Review E,2016,94(3):032209.
[4]张超,张凤鸣,王瑛,等.基于复杂网络视角的航空通信网络鲁棒性分析[J].系统工程与电子技术,2015,37(1):180-184.(ZHANG C,ZHANG F M,WANG Y,et al.Method to analyse the robustness of aviation communication network based on complex networks[J].Systems Engineering and Electronics,2015,37(1):180-184.)
[5]刘华军,刘传明,陈明华.中国工业CO2排放的行业间传导网络及协同减排[J].中国人口·资源与环境,2016,26(4):90-99.(LIU H J,LIU C M,CHEN M H.The conduction network and collaborative reduction among different industries of carbon dioxide emission in China's industries[J].China Population,Resources and Environment,2016,26(4):90-99.)
[6]孙亚男,刘华军,刘传明,等.中国省际碳排放的空间关联性及其效应研究---基于SNA的经验考察[J].上海经济研究,2016(2):82-92.(SUN Y N,LIU H J,LIU C M,et al.Research on spatial association of provinces carbon emissions and its effects in China[J].Shanghai Journal of Economics,2016(2):82-92.)
[7]MOTTER A E,LAI Y C.Cascade-based attacks on complex networks[J].Physical Review E:Statistical,Nonlinear,&Soft Matter Physic,2002,66(6 Pt 2):065102.
[8]DOU B L,WANG X G,ZHANG S Y.Robustness of networks against cascading failures[J].Physica A:Statistical Mechanics and its Applications,2010,389(11):2310-2317.
[9]BAO Z J,CAO Y J,DING L J,et al.Comparison of cascading failures in small-world and scale-free networks subject to vertex and edge attacks[J].Physica A:Statistical Mechanics and its Applications,2009,388(20):4491-4498.
[10]丁琳,张嗣瀛.面向级联失效的复杂网络加权策略[J].控制与决策,2013,28(9):1399-1402.(DING L,ZHANG S Y.Cascading failures-oriented weighting strategies on complex network[J].Control and Decision,2013,28(9):1399-1402.)
[11]WANG J W,RONG L L,ZHANG L,et al.Attack vulnerability of scale-free networks due to cascading failures[J].Physica A:Statistical Mechanics and its Applications,2008,387(26):6671-6678.
[12]段东立,吴俊,邓宏钟,等.基于可调负载重分配的复杂网络级联失效模型[J].系统工程理论与实践,2013,33(1):203-208.(DUAN DL,WU J,DENG H Z,et al.Cascading failure model of complex networks based on tunable load redistribution[J].System EngineeringTheory and Practice,2013,33(1):203-208.)
[13]窦炳林,张世永.复杂网络上级联失效的负载容量模型[J].系统仿真学报,2011,23(7):1459-1463,1468.(DOU B L,ZHANG S Y.Load-capacity model for cascading failures of complex networks[J].Journal of System Simulation,2011,23(7):1459-1463,1468.)
[14]袁铭.带有层级结构的复杂网络级联失效模型[J].物理学报,2014,63(22):220501-1-220501-8.(YUAN M.A cascading failure model of complex network with hierarchy structure[J].Acta Physica Sinica,2014,63(22):220501-1-220501-8.)
[15]曾宇.基于级联失效的社会经济系统脆弱性研究及其弹性优化[D].武汉:华中科技大学,2015:82-88.(ZENG Y.Vulnerability research of socio-economic system with cascading failures and its resilient optimization[D].Wuhan:Huazhong University of Science and Technology,2015:82-88.)
[16]KIM D H,MOTTER A E.Resource allocation pattern in infrastructure networks[J].Journal of Physics A:Mathematical and Theoretical,2008,41(22):224019-1-224019-8.
[17]郝羽成,李成兵,魏磊.考虑节点过载的复杂网络级联失效模型[J].系统工程与电子技术,2018,40(10):2282-2287.(HAO Y C,LI C B,WEI L.Cascading failure model of complex networks considering overloaded nodes[J].Systems Engineering and Electronics,2018,40(10):2282-2287.)
[18]李勇,吴俊,谭跃进.容量均匀分布的物流保障网络级联失效抗毁性[J].系统工程学报,2010,25(6):853-860.(LI Y,WU J,TAN Y J.Invulnerability study for cascading failure of the logistics support networks of capacity evenly distributed[J].Journal of Systems Engineering,2010,25(6):853-860.)
[19]朱林,方胜良,王劲松,等.面向体系作战的空间通信网络级联失效模型[J].系统仿真学报,2018,30(6):2144-2152.(ZHUL,FANG S L,WANG J S,et al.Space Communication network cascading failure model oriented system combat[J].Journal of System Simulation,2018,30(6):2144-2152.)
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