Research on the Theoretical Steady-State Error of Direct Current Comparator

Liren Zhou, L. Zhu, Ji Geng, Qin Yi, Pan Yang
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引用次数: 1

Abstract

In virtue of modern control theory, combining with the analysis of structure and principle of direct current comparator (DCC), relative error formula of direct current ratio was derived to theoretically analyze the steady state value. Resolve each part of transfer function and then compound the closed-loop transfer function. Employ Nyquist stability criterion to judge the system stability; establish the closed-loop transfer characteristic simulation model; take unit ampere turn value as example and the simulation result was analyzed. The results showed that the secondary side fast tracked the primary side signal and output signal smoothly, without obvious transition appearance such as overshoot and oscillation, according with the principle of DCC. The steady-state error of direct current ratio is 2.5×10−8, consisting with the derived theoretical value, meeting the expected design requirements.
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直流比较器理论稳态误差的研究
利用现代控制理论,结合对直流比较器(DCC)结构和原理的分析,推导出直流比的相对误差公式,从理论上分析其稳态值。求解传递函数的每个部分,然后复合闭环传递函数。采用Nyquist稳定性判据判断系统的稳定性;建立闭环传递特性仿真模型;以单位安培匝数为例,对仿真结果进行了分析。结果表明,二次侧对一次侧信号和输出信号进行了平滑快速跟踪,无过冲、振荡等明显过渡现象,符合DCC原理。直流比稳态误差为2.5×10−8,与推导的理论值一致,满足预期设计要求。
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