1. State Grid Shaanxi Marketing Service Center(Measurement Center),Xi’an,Shaanxi 710100,China
2. China Jiliang University,Hangzhou,Zhejiang 310018,China
3. National Institute of Metrology,Beijing 100029,China
4. Huazhong University of Science and Technology,Wuhan,Hubei 430074,China
Abstract：In the programmable Josephson quantum voltage standard system, fast and accurate calculation of the bias combinations of Josephson junction sub-arrays is the premise to achieve the accurate output of quantum voltage. The traditional enumeration-index algorithm searches for the optimal solution by traversing all possible bias combinations, resulting in low computational efficiency and difficulty in adapting to special application scenarios such as quantum voltage aperiodic continuous transformation outputs. Based on the above,a bias combination algorithm is proposed for the ternary programmable Josephson junction array. Firstly, the sub-arrays are grouped adaptively according to the number of Josephson junctions in each one,and then the preliminary bias combinations are quickly calculated. Furthermore, the approximate calculation method and quantization error compensation method are combined to overcome some specific problems in the preliminary bias combinations, such as sub-arrays failure, sub-resolution design, and so on. Experimental results show that the mentioned algorithm can find the optimal bias combination under various conditions, and the computational efficiency is much better than the traditional enumeration-index algorithm.
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2023, Vol. 44 
