作者：周成虎¹, 高金峰², 黄明明¹, 黄全振¹, 皇普恩³, 郭军杰⁴

作者单位：1. 河南工程学院电气信息工程学院，河南 郑州 451191;
2. 郑州大学电气工程学院，河南 郑州 450001;
3. 河南师范大学软件学院，河南 新乡 453007;
4. 河南工程学院资源与安全工程学院，河南 郑州 451191

关键词：并联谐振;感应耦合电能传输电路;数学模型;预测

摘要：

并联谐振型感应耦合电能传输电路结构简单、开关损耗低、工作频率范围宽，然而该电路有时启动失败或出现频率分岔现象。当这些现象出现后，如果保护电路不能及时动作则导致开关管击穿。该文采用全系统非线性建模的方法，建立包含驱动电路、开关变换电路和负载的全系统数学模型。针对该模型采用分段线性化和摄动方法得到电路的解析解；根据解析解导出零电压开关频率计算式，并研究品质因数Q变化对零电压开关频率的影响，由此揭示超出范围的负载是启动失败或产生分岔现象的根本原因。针对该模型的理论分析方法得到电路参数平衡点附近的相图，针对该模型的仿真计算可在特定初始条件下准确计算电路参数的相图和波形。结果表明：当Q ≥$ \sqrt{{\varepsilon }_{0}} $，电路能够正常启动；当$ \sqrt{{\varepsilon }_{0}} $/2≤ Q <$ \sqrt{{\varepsilon }_{0}} $，电路可从零状态启动；当Q$ { < }\text{}\sqrt{{{ \varepsilon }}_{\text{0}}}\text{/2} $，根据初始条件使用该模型计算电路参数的波形和相图，可准确预测电路能否启动或正常运行；当电路已经稳定工作在极限环状态，如果负载增大到使品质因数Q$ \ll\sqrt{{\varepsilon }_{0}} $/2，使用上述方法可以计算出电路即将终止运行并走向其中一个非零平衡点，这种计算方法可为保护电路动作提供准确的预测依据。测试结果验证该模型准确。

Research on the whole system model and test verification of ICPT circuit
ZHOU Chenghu¹, GAO Jinfeng², HUANG Mingming¹, HUANG Quanzhen¹, HUANG Puen³, GUO Junjie⁴
1. School of Electrical Information Engineering, Henan University of Engineering, Zhengzhou 451191, China;
2. School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, China;
3. School of Software, Henan Normal University, Xinxiang 453007, China;
4. School of Resource and Safety Engineering, Henan University of Engineering, Zhengzhou 451191, China
Abstract: The parallel resonant inductively coupled power Transfer circuit has the advantages of simple structure, low switching loss and wide operating frequency range. However, sometimes the circuit fails to start or frequency bifurcation occurs. If the protection circuit does not operate in time, the switch will break down. This paper adopts the method of nonlinear modeling of the whole system, and establishes the mathematical model of the whole system including the driving circuit, the switching circuit and the load. The analytical solution of the circuit is obtained by piecewise linearization and perturbation method; Based on the analytical solution, the calculation formula of zero voltage switching frequency is derived, and the influence of quality factor Q on zero voltage switching frequency is studied. It is revealed that the out of range load is the root cause of startup failure or bifurcation phenomenon. According to the theoretical analysis method of the model, the phase diagram near the equilibrium point of circuit parameters is obtained. The simulation calculation of the model can accurately calculate the phase diagram and waveform of circuit parameters under specific initial conditions. The results show that when Q ≥$ \sqrt{{\varepsilon }_{0}} $, the circuit can start normally; When $ \sqrt{{\varepsilon }_{0}} $/2≤ Q <$ \sqrt{{\varepsilon }_{0}} $, the circuit can be started from the zero state; When Q$ \text{ < }\sqrt{{{ \varepsilon }}_{\text{0}}}\text{/2} $, using this model to calculate the waveform and phase diagram of circuit parameters according to the initial conditions can accurately predict whether the circuit can be started or run normally; when the circuit has been working stably in the limit cycle state, if the load increases to make the quality factor Q$  \ll \sqrt{{\varepsilon }_{0}} $/2, using the above method, it can be calculated that the circuit is about to terminate and move towards one of the non-zero equilibrium points. This calculation method can provide accurate prediction basis for the action of the protection circuit. The test results verify the accuracy of the model.
Keywords: parallel resonance;inductive coupling electric energy transmission circuit;mathematical model;forecast
2023, 49(3):25-34  收稿日期: 2022-08-15;收到修改稿日期: 2022-10-03
基金项目: 国家自然科学基金(62173126)；国家级大学生创新创业训练计划项目(202111517017)；河南省高校科技创新团队支持计划(21IRTSTHN017)；河南省科技厅科技攻关项目(222102240054，212102210014)
作者简介: 周成虎(1973-),男,河南息县人,副教授,硕士,研究方向为非接触供电技术
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