串联谐振高频链逆变电源数学模型分析

首先从串联谐振高频链逆变电源的工作原理及相应的控制策略出发，得到各谐振模式下的状态方程；通过整合谐振模式控制信号、象限判断信号及谐振电流极性判别信号，得到所有谐振模式统一的状态方程；利用谐振槽等效的方法，进一步简化系统的数学模型，得到逆变器的降阶状态方程；在此基础上，文章利用Matlab软件分析和比较了原逆变电源和降阶等效系统的在随机控制信号及阶跃信号下的响应，验证了等效模型的正确性；同时还将基于降阶系统构建的控制器应用于实验样机，其优良的负载突变响应也验证了等效模型的正确性。

Mathematical Analysis on the Series Resonant High Frequency Link Inverter

Beginning with the operational principle and control strategy of series resonant high frequency link inverter, then the state equation under various resonant modes is got. Via unitary management of resonant mode control signal, quadrant and resonant current polarity judgement signal, and obtains the uniform state equation for all resonant modes. Furthermore, utilizing the way of resonant tank equivalent, predigests the third order system mathematical model. Having the results, the paper validates the equivalent model through two ways: using Matlab, the response of random control signal and step signal; utilizing the constructed controller which is applied to prototype based on the model, the excellent response of load abrupt change.