A fault propagation path identification method for A320 air conditioning system based on improved Bayesian network
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摘要:
飞机空调系统是控制飞机内部环境的关键机载系统之一,其内部结构呈现多闭环和多冗余等复杂特征,导致故障在各组件之间传播。贝叶斯网络可以有效推理开环系统的故障传播路径,但无法适应闭环结构。为解决这一适应性问题,提出一种基于贝叶斯网络的改进模型,用于识别A320空调系统特定结构下的故障传播路径。分析空调系统的功能行为和物理结构,综合复杂网络理论,构建系统拓扑有向图;结合网络结构和信息传递定义边影响强度,对边重要性进行度量,提高边重要性度量的准确性;通过基于边影响强度的解环策略,将闭环结构转换为开环结构,以获得最佳的贝叶斯故障传播网络结构,从而精确识别多闭环结构下的故障传播路径。通过A320空调系统案例研究验证了所提方法的有效性。
Abstract:The air conditioning system of airplanes is one of the critical airplane-mounted systems used to control the internal environments. It is highly complex in structure, having multiple closed loops and much redundancy, which causes the faults to spread among its components. The Bayesian network can be used to deduce the fault transmission path of open-looped systems, but it is unfit for close-looped structures. In order to address this issue, an enhanced model based on the Bayesian network for determining the fault transmission path of the air conditioning system in A320 aircraft in a particular structure is presented in this research. Firstly, the functional behavior and physical structure of this air conditioning system are analyzed. By using the complex network theory, a topologically directed graph of this system is constructed. Additionally, in order to quantify the relevance of sides, the intensity of side influence is established based on the network structure and message transit, which increases the measurement’s accuracy.Then, through the loop-opening strategy based on the intensity of side influence, a close-looped structure is changed into an open-looped structure. In this way, the optimal Bayesian fault transmission network structure is obtained to precisely identify the path of fault transmission in a close-looped structure. Finally, a case study is conducted on the A320 air conditioning system to validate the proposed model.
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图 1 A320飞机空调系统拓扑有向图
v1:流量控制活门1;v2:次热交换器1;v3:压气机1;v4:主热交换器1;v5:再加热器1;v6:冷凝器1;v7:水分离器1;v8:涡轮1;v9:流量控制活门2;v10:次热交换器2;v11:压气机2;v12:主热交换器2;v13:再加热器2;v14:冷凝器2;v15:水分离器2;v16:涡轮2;v17:混合组件;v18:再循环风扇1;v19:再循环风扇2;v20:配平空气活门1;v21:配平空气活门2;v22:配平空气活门3;v23:驾驶舱压力传感器;v24:前客舱压力传感器;v25:后客舱压力传感器;v26:鼓风机;v27:电子电气设备;v28:排气扇;v29:蒙皮热交换器;v30:热空气压力调节活门;v31:驾驶舱风管;v32:前客舱风管;v33:后客舱风管;v34:Pack控制器1;v35:Pack控制器2;v36:旁通活门1;v37:旁通活门2;v38:前货舱温度传感器;v39:后货舱温度传感器;v40:货舱通风控制器;v41:ACS控制器1;v42:ACS控制器2;v43:冲压空气进口活门1;v44:冲压空气进口活门2。
Figure 1. A320 air conditioning system topology directed graph
表 1 边连通关键度值
Table 1. Value of edge connectivity key
$ {e}_{ij} $ $ {Z}_{ij} $ $ {e}_{ij} $ $ {Z}_{ij} $ $ {e}_{ij} $ $ {Z}_{ij} $ $ {e}_{ij} $ $ {Z}_{ij} $ $ {e}_{ij} $ $ {Z}_{ij} $ $ {e}_{ij} $ $ {Z}_{ij} $ (1,2) 0.0115 (8,6) 0.0348 (15,13) 0.0011 (21,32) 0.0015 (30,20) 0.1157 (35,44) 0.0000 (1,30) 0.0866 (8,34) 0.0212 (15,17) 0.1152 (21,42) 0.1219 (30,21) 0.0544 (36,8) 0.0111 (2,3) 0.0039 (9,10) 0.0132 (16,14) 0.0447 (22,33) 0.0015 (30,22) 0.0147 (37,16) 0.0137 (3,4) 0.0003 (9,30) 0.1402 (16,35) 0.0248 (22,42) 0.0156 (31,23) 0.0118 (40,38) 0.0000 (3,8) 0.0067 (10,11) 0.0039 (17,18) 0.0000 (23,26) 0.0064 (31,41) 0.0073 (40,39) 0.0000 (3,36) 0.0001 (11,12) 0.0003 (17,19) 0.0000 (23,41) 0.0062 (32,24) 0.0004 (41,34) 0.2038 (4,5) 0.0002 (11,37) 0.0001 (17,41) 0.0657 (24,42) 0.0067 (33,25) 0.0004 (42,35) 0.3191 (5,6) 0.0027 (11,16) 0.0072 (17,20) 0.0604 (25,42) 0.0067 (34,1) 0.1403 (42,40) 0.0122 (5,8) 0.0015 (12,13) 0.0002 (17,21) 0.0735 (26,27) 0.0027 (34,36) 0.0198 (6,7) 0.0454 (13,14) 0.0036 (17,22) 0.0172 (27,28) 0.0007 (34,43) 0.0000 (7,5) 0.0010 (13,16) 0.0018 (20,31) 0.0329 (28,29) 0.0000 (35,9) 0.2264 (7,17) 0.0972 (14,15) 0.0619 (20,41) 0.0610 (29,26) 0.0000 (35,37) 0.0258 表 2 边信息熵值
Table 2. Value of edge information entropy
eij Hij eij Hij eij Hij eij Hij eij Hij eij Hij (1,2) 0.0316 (8,6) 0.2144 (15,13) 0.1852 (21,32) 0.0593 (30,20) 0.3076 (35,44) 0.0058 (1,30) 0.0275 (8,34) 0.0174 (15,17) 0.0122 (21,42) 0.0427 (30,21) 0.3921 (36,8) 0.2824 (2,3) 0.0380 (9,10) 0.0348 (16,14) 0.2167 (22,33) 0.0634 (30,22) 0.4183 (37,16) 0.2915 (3,4) 0.0810 (9,30) 0.0286 (16,35) 0.0179 (22,42) 0.0453 (31,23) 0.0962 (40,38) 0.0234 (3,8) 0.0567 (10,11) 0.0435 (17,18) 0.0102 (23,26) 0.0121 (31,41) 0.0283 (40,39) 0.0234 (3,36) 0.1098 (11,12) 0.0967 (17,19) 0.0108 (23,41) 0.0208 (32,24) 0.1162 (41,34) 0.1745 (4,5) 0.0431 (11,37) 0.1271 (17,41) 0.0289 (24,42) 0.0147 (33,25) 0.1211 (42,35) 0.1986 (5,6) 0.0163 (11,16) 0.0650 (17,20) 0.0904 (25,42) 0.0152 (34,1) 0.1024 (42,40) 0.1525 (5,8) 0.0434 (12,13) 0.0459 (17,21) 0.0423 (26,27) 0.0065 (34,36) 0.0174 (6,7) 0.0079 (13,14) 0.0164 (17,22) 0.0447 (27,28) 0.0051 (34,43) 0.0058 (7,5) 0.1610 (13,16) 0.0446 (20,31) 0.0641 (28,29) 0.0113 (35,9) 0.1067 (7,17) 0.0103 (14,15) 0.0079 (20,41) 0.0259 (29,26) 0.1060 (35,37) 0.0186 表 3 蚁群算法参数
Table 3. Ant colony algorithm parameters
$ m $ $ {\theta }_{1} $ $ {\theta }_{2} $ $ \rho $ $ Q $ 44 1 2 0.7 50 表 4 A320飞机空调系统故障传播路径及发生概率(部分)
Table 4. Fault propagation paths and occurrence probability in A320 air conditioning system (extracted)
序号 路径 $ {P}_{{\mathrm{op}}} $ 序号 路径 $ {P}_{{\mathrm{op}}} $ 1 3→4→5→8 0.3861 12 30→20→31 0.1923 2 9→10→11 0.3847 13 17→22→33 0.1675 3 11→12→13 0.3145 14 22→33→25 0.1491 4 17→21→32 0.2943 15 20→31→23 0.1452 5 26→28→29 0.2772 16 11→12→13→16 0.1217 6 9→30→20 0.2511 17 21→32→24→42 0.1064 7 8→34→43 0.2467 18 17→21→32→24 0.0913 8 21→32→24 0.2452 19 26→27→28→29 0.0887 9 7→5→8 0.2388 20 10→11→16→14 0.0742 10 15→13→16 0.2219 21 2→3→8→6 0.0701 11 11→37→16 0.2084 22 10→11→16→14 0.0494 表 5 空调系统故障传播路径识别对比实验结果
Table 5. Comparative experimental results of identifying fault propagation paths in air conditioning system
模型 路径识别准确率/% 路径数量/条 运行时长/s 小世界网络 92.55 1496 214 SDG 91.74 1536 287 Petri网 93.28 1432 266 MWST+BN 94.13 1371 208 改进贝叶斯网络 94.67 1248 195 -
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