CSA-NSGAII algorithm for magnetically shielded room shield lamination optimization

算法	GD			IGD
算法	ZDT1	ZDT2	ZDT3	ZDT1	ZDT2	ZDT3
NSGAII	1.51E-03	9.36E-04	8.03E-04	1.75E-02	7.32E-02	1.31E-02
NSGAII-SDR	3.37E-03	5.76E-03	5.67E-04	5.59E-02	4.19E-02	2.98E-02
g-NSGAII	1.23E-03	2.26E-03	7.54E-04	1.26E-02	4.39E-02	1.16E-02
MOEA/D	8.83E-03	3.35E-03	1.17E-02	1.52E-01	5.12E-01	1.58E-01
CSA-NSGAII	1.02E-03	1.37E-03	3.95E-04	1.32E-02	2.40E-02	7.33E-03
算法	Spacing			Runtime
算法	ZDT1	ZDT2	ZDT3	ZDT1	ZDT2	ZDT3
NSGAII	6.43E-03	1.65E-02	1.78E-02	2.99E-01	2.61E-01	2.60E-01
NSGAII-SDR	1.50E-03	1.40E-02	1.78E-02	5.37E-01	3.47E-01	3.24E-01
g-NSGAII	6.96E-03	1.78E-02	7.50E-03	2.92E-01	2.95E-01	2.63E-01
MOEA/D	1.36E-02	5.65E-03	3.36E-02	2.05E+00	2.20E-01	1.78E-00
CSA-NSGAII	1.07E-03	1.19E-02	7.10E-03	3.44E-01	2.32E-01	3.86E-01

Table 2. Relevant parameters of shielding materials
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Table 2. Relevant parameters of shielding materials
材质相对磁导率（ $μ_{r}$ ）相对电阻率（ $σ_{r}$ ）密度/（kg·m^-3）价格/（CNY·kg^-1）
硅钢 1 000 0.17 7.55×10³ 12.6
铝 1 0.61 2.70×10³ 22.8
坡莫合金 80 000 0.03 8.75×10³ 140
空气 1 - 1.29

Table 3. Optimal laminated structure and the lowest cost obtained by the original NSGAII and the CSA-NSGAII

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Table 3. Optimal laminated structure and the lowest cost obtained by the original NSGAII and the CSA-NSGAII

算法	频率/Hz	硅钢厚度/mm	铝厚度/ mm	坡莫合金厚度/mm	硅钢-铝空气层厚度/mm	硅钢-坡莫合金空气层厚度/mm	造价/ CNY
NSGAII	1	0.141	7.442	2.458	4.638	3.753	2 598 150
	10	5.296	3.356	0.175	7.793	3.202	1 435 750
	20	0.618	2.827	1.055	5.037	4.543	1 408 320
	30	3.093	2.669	0.139	3.765	5.545	1 148 870
	40	2.722	1.784	0.189	5.460	5.492	1 101 150
	50	1.421	1.745	0.452	7.717	5.476	992 232
CSA-NSGAII	1	7.949	9.384	0.592	2.830	2.538	2 472 390
	10	1.447	3.205	1.208	7.694	2.477	1 379 590
	20	0.695	1.712	1.179	6.534	3.366	1 082 140
	30	1.924	2.676	0.457	4.872	3.064	933 880
	40	3.314	1.885	0.051	5.668	3.709	870 269
	50	0.449	1.301	0.793	4.400	6.038	771 813

Table 4. Specimen parameters and experimental data

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Table 4. Specimen parameters and experimental data

线圈电流频率/Hz	材质	理论厚度 /mm	实际厚度 /mm	测量次数	外部磁场强度 /nT	内部剩余磁场/nT
1	坡莫合金	0.592	0.600	1	3.25×10⁴	10.3
	空气层1	3.753	3.800	2	3.22×10⁴	10.1
	硅钢	7.949	8.000	3	3.23×10⁴	10.1
	空气层2	4.638	4.600	4	3.20×10⁴	10.0
	铝	9.384	9.500	5	3.24×10⁴	10.2
50	坡莫合金	0.793	0.800	1	3.25×10⁴	10.2
	空气层1	6.038	6.000	2	3.23×10⁴	10.1
	硅钢	0.449	0.500	3	3.24×10⁴	10.1
	空气层2	4.400	4.400	4	3.22×10⁴	10.2
	铝	1.301	1.500	5	3.19×10⁴	10.0

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Songnan YANG, Xiaohui ZHANG, Yuanyuan LIU, Jinsheng ZHANG, Xiaoli XI. CSA-NSGAII algorithm for magnetically shielded room shield lamination optimization[J]. Optics and Precision Engineering, 2022, 30(14): 1749

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