集装箱式边缘数据中心震后功能概率评价方法

左浩朋; 尚庆学; 毛晨曦; 张学斌; 李震; 孙国良; 王涛

doi:10.6052/j.issn.1000-4750.2022.04.0327

集装箱式边缘数据中心震后功能概率评价方法

左浩朋^{1, 2,},
尚庆学^3,,
毛晨曦^{1, 2, ,},
张学斌^4,,
李震^4,,
孙国良^5,,
王涛^{1, 2,}

1.
中国地震局工程力学研究所，中国地震局地震工程与工程振动部门重点实验室，黑龙江，哈尔滨 150080
2.
地震灾害防治应急管理部重点实验室，黑龙江，哈尔滨 150080
3.
清华大学土木工程系，北京 100084
4.
中国移动通信集团设计院有限公司，北京 100080
5.
信通院(保定)科技创新研究院有限公司，河北，保定 071051

基金项目: 中国地震局工程力学研究所基本科研业务费专项资助项目(2020EEEVL0501，2021EEEVL0316，2021EEEVL0212)；国家杰出青年科学基金项目(52125806)；中国博士后科学基金项目(2021M701937)；黑龙江省头雁行动计划项目(3016)

详细信息

作者简介:
左浩朋(1996−)，男，河北人，博士生，主要从事工程结构抗震、通信系统韧性研究(E-mail: zuohaopeng@126.com)

尚庆学(1993−)，男，江苏人，助理研究员，博士，主要从事工程结构抗震、建筑系统韧性研究(E-mail: shangqingxue@outlook.com)

张学斌(1980−)，男，山西人，高工，硕士，主要从事通信建筑结构抗震、通信设备抗震研究(E-mail: 13910920120@139.com)

李　震(1982−)，男，山东人，高工，硕士，主要从事通信建筑结构抗震、通信设备抗震研究(E-mail: 15810732753@139.com)

孙国良(1983−)，男(蒙古)，河北人，高工，硕士，主要从事通信设备抗震、可靠性等方面研究(E-mail: sunguoliang@caict.ac.cn)

王　涛(1977−)，男，山东人，研究员，博士，主要从事结构抗震试验方法、地震易损性等方面研究 (E-mail: wangtao@iem.ac.cn)

通讯作者:
毛晨曦(1974−)，女，辽宁人，研究员，博士，主要从事结构工程抗震、通信系统地震灾害评价研究(E-mail: maochenxi@iem.ac.cn)

中图分类号: TU312
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出版历程
- 收稿日期: 2022-04-14
- 修回日期: 2022-08-18
- 录用日期: 2022-09-01
- 网络出版日期: 2022-09-01
- 刊出日期: 2024-04-24

A PROBABILISTIC ASSESSMENT METHOD FOR POST-EARTHQUAKE FUNCTIONALITY OF CONTAINERIZED EDGE DATA CENTER

ZUO Hao-peng^{1, 2,},
SHANG Qing-xue^3,,
MAO Chen-xi^{1, 2, ,},
ZHANG Xue-bin^4,,
LI Zhen^4,,
SUN Guo-liang^5,,
WANG Tao^{1, 2,}

1.
Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin, Heilongjiang 150080, China
2.
Key Laboratory of Earthquake Disaster Mitigation, Ministry of Emergency Management, Harbin, Heilongjiang 150080, China
3.
Department of Civil Engineering, Tsinghua University, Beijing 100084, China
4.
China Mobile Group Design Institute Co., Ltd., Beijing 100080, China
5.
Baoding Science and Technology Innovation Research Academy of CAICT, Baoding, Hebei 071051, China

摘要

摘要:
集装箱式边缘数据中心是5G通信网络中的一类重要节点，准确评价其在不同强度地震作用下的功能水平是5G通信网络震后功能评价的基础。该文以一个典型集装箱式边缘数据中心为研究对象，提出了该类数据中心震后功能的概率评价方法。详细分析了典型数据中心5个子系统的基本部件构成和各基本部件间的功能逻辑关系，建立了子系统的故障树模型和数据中心的状态树模型；通过数值模拟和文献调研，给出了数据中心各基本部件的地震易损性参数；将状态树和蒙特卡洛模拟相结合，计算出了典型数据中心的地震功能易损性曲线和参数。研究表明：空调内机、蓄电池柜和空调外机是集装箱式边缘数据中心的薄弱环节，改善这些薄弱环节可显著提升集装箱式边缘数据中心震后功能水平。
- 集装箱式边缘数据中心 /
- 震后功能概率评价 /
- 地震易损性 /
- 故障树 /
- 状态树
Abstract:
The containerized edge data center (CEDC) is one of the critical components of the 5G communication network. Accurate assessment of its functionality level under earthquakes with various intensities is the foundation of post-earthquake functionality assessment of the communication network. Taking a typical CEDC as the research object, a probabilistic-based method is developed to evaluate its post-earthquake functionality. The critical components of five subsystems of the CEDC were recognized and the functional logic relationship between these components were analyzed. Then the fault tree model of each subsystem and the state tree model of CEDC were established. The seismic fragility parameters of each critical component were given based on previous literature or supplemental analyses. Seismic functional fragility curves and parameters of CEDC were calculated by combining the state trees with Monte Carlo simulation. The results indicate that the indoor and outdoor units of air conditioning, and battery cabinet are the most vulnerable parts of CEDC. Enhancement of these parts can significantly improve the post-earthquake functionality level of CEDC.
- containerized edge data center /
- probabilistic assessment of post-earthquake functionality /
- seismic fragility /
- fault tree /
- state tree

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图 1 典型CEDC

Figure 1. Typical CEDC

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图 2 建筑结构子系统及其故障树模型

Figure 2. Structure subsystem and its fault tree

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图 3 供配电子系统及其故障树模型

Figure 3. Power supply subsystem and its fault tree

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图 4 空调子系统及其故障树模型

Figure 4. Air conditioning subsystem and its fault tree

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图 5 计算子系统的故障树模型

Figure 5. Fault tree of the computing subsystem

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图 6 数据中心成功路径

Figure 6. Success path of the data center

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图 7 CEDC的状态树模型

Figure 7. State tree of the CEDC

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图 8 集装箱和密闭冷通道框架结构有限元模型

Figure 8. Finite element models of the frame structures of the container and closed cold aisle

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图 9 加速度反应谱

Figure 9. Acceleration response spectra

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图 10 概率地震需求分析

Figure 10. Probabilistic seismic demand analysis

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图 11 地震功能易损性评价流程

Figure 11. Flow chart of getting seismic fragility

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图 12 地震功能易损性曲线

Figure 12. Seismic functional fragility curves

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图 13 不同功能损失水平的发生概率

Figure 13. Probability of different functional loss levels

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地震功能易损性水平 ${F}_{3}$ 中位值的变化率

Change rate of the median of the seismic fragility of level ${F}_{3}$

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表 1 基本部件的易损性参数

Table 1 Fragility parameters of basic components

编号	名称	需求参数	损伤水平	概率抗震能力模型		概率地震需求模型			地震易损性模型
编号	名称	需求参数	损伤水平	${m}_{C}$	${\beta }_{C}$	$\mathrm{ln}\ a$	$b$	${\beta }_{D\|\mathrm{IM}}$	${m}_{S}/\textit{g}$	${\beta }_{S}$
1	ATS^[28]	$\mathrm{PGA}/\textit{g}$	毁坏	2.4000	0.4000	−	−	−	2.4000	0.4000
2	UPS^[28]	$\mathrm{PGA}/\textit{g}$	毁坏	2.7000	0.6000	−	−	−	2.7000	0.6000
3	配电柜^[28]	$\mathrm{PGA}/\textit{g}$	毁坏	3.0500	0.4000	−	−	−	3.0500	0.4000
4	柴油发电机^[28]	$\mathrm{PGA}/\textit{g}$	毁坏	2.0000	0.2000	−	−	−	2.0000	0.2000
5	蓄电池柜^[29]	$\mathrm{PGA}/\textit{g}$	毁坏	0.8430	0.9590	−	−	−	0.8430	0.9590
6	管控柜^[30]	$\mathrm{PGA}/\textit{g}$	严重破坏	1.4380	0.5010	−	−	−	1.4380	0.5010
7	交换机机柜^[14]	$\mathrm{PGA}/\textit{g}$	严重破坏	1.2583	0.3072	−	−	−	1.2583	0.3072
8	读写服务器机柜^[14]	$\mathrm{PGA}/\textit{g}$	严重破坏	1.2583	0.3072	−	−	−	1.2583	0.3072
9	计算服务器机柜^[14]	$\mathrm{PGA}/\textit{g}$	严重破坏	1.2583	0.3072	−	−	−	1.2583	0.3072
10	空调外机^[28]	${\mathrm{PFA}}_{\mathrm{J} }/\textit{g}$	损毁	1.8400	0.6000	0.7791	0.9316	0.9491	0.8338	0.7067
11	空调内机^[28]	${\mathrm{PFA}}_{\mathrm{T} }/\textit{g}$	损毁	1.5400	0.6000	1.5921	0.9820	0.3622	0.3079	0.7115
12	集装箱框架^[32]	${\theta }_{\mathrm{J}}$	严重破坏	0.0250	0.0000	6.2769	1.0178	0.2921	12.7139	0.2870
13	密闭冷通框架^[32]	${\theta }_{\mathrm{T}}$	严重破坏	0.0250	0.0000	3.6860	0.7636	0.2317	0.9963	0.3034
注： ${\mathrm{PFA}}_{\mathrm{J} }$ 和 ${\mathrm{PFA}}_{\mathrm{T} }$ 分别为空调外机和空调内机安装位置的峰值楼面加速度； ${\theta }_{\mathrm{J}}$ 和 ${\theta }_{\mathrm{T}}$ 分别为集装箱框架和密闭冷通道框架顶部相对基底的位移角。

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表 2 12条地震动记录

Table 2 12 ground motion records

编号	地震名称	年代	震级	记录台站	PGA/g
1	Northridge	1994	6.7	Beverly Hills - Mulhol	0.43
2	Northridge	1994	6.7	Canyon Country-WLC	0.40
3	Duzce, Turkey	1999	7.1	Bolu	0.72
4	Hector Mine	1999	7.1	Hector	0.26
5	Imperial Valley	1979	6.5	Delta	0.23
6	Imperial Valley	1979	6.5	El Centro Array #11	0.36
7	Kobe, Japan	1995	6.9	Nishi-Akashi	0.47
8	Kobe, Japan	1995	6.9	Shin-Osaka	0.22
9	Kocaeli, Turkey	1999	7.5	Duzce	0.31
10	Kocaeli, Turkey	1999	7.5	Arcelik	0.22
11	Landers	1992	7.3	Yermo Fire Station	0.24
12	Landers	1992	7.3	Coolwater	0.28

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表 3 典型CEDC的地震功能易损性参数

Table 3 Parameters of the seismic functional fragility of the typical CEDC

易损性水平	市电完好		市电故障
易损性水平	中位值/g	对数标准差	中位值/g	对数标准差
F₁	0.4657	0.3722	0.3966	0.4308
F₂	0.4691	0.3885	0.3979	0.4416
F₃	0.4694	0.3912	0.3979	0.4430
F₄	0.4694	0.3916	0.3979	0.4431
F₅	0.4694	0.3917	0.3979	0.4431
F₆	0.4694	0.3917	0.3979	0.4431

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集装箱式边缘数据中心震后功能概率评价方法

通讯作者: 毛晨曦(1974−)，女，辽宁人，研究员，博士，主要从事结构工程抗震、通信系统地震灾害评价研究(E-mail: maochenxi@iem.ac.cn)

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A PROBABILISTIC ASSESSMENT METHOD FOR POST-EARTHQUAKE FUNCTIONALITY OF CONTAINERIZED EDGE DATA CENTER

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通讯作者:
毛晨曦(1974−)，女，辽宁人，研究员，博士，主要从事结构工程抗震、通信系统地震灾害评价研究(E-mail: maochenxi@iem.ac.cn)