Abstract: Restricted by test conditions， performing spacecraft anti-multi-source X-ray ground simulation test is generally difficult. A single source X-ray numerical simulation equivalent test method is proposed. To overcome the “excessive greedy” phenomenon of the expected improvement(EI)method in the equivalent test points searching， a hierarchical EI equivalent test model is established. On this basis， by introducing quadratic terms into the improvement function， the model’s global searching ability is further improved. The anti-X-ray radiation numerical simulation test of CFRP material is subject to the object， and the hierarchical EI equivalent test model is used for equivalent test input value search. The results indicate that the hierarchical EI equivalent test model has higher search accuracy.

Key words: hierarchical expected improvement; equivalent test; Gaussian process model; X-ray radiation; CFRP material