薛景缤,祁予扬,吕德超,徐王熠

• 1:杭州师范大学物理学院
• 2:杭州师范大学经亨颐教育学院

摘要(Abstract)：

针对高校教材对Boost电路趋稳过程探讨不足的问题，系统刻画Boost电路过渡态的过程特征及影响因素。分别对开关闭合、断开两个子过程依据基尔霍夫定律建立状态方程，并引入二极管钳制定向约束；据子过程二阶方程判别式开展欠阻尼、过阻尼（或临界阻尼）分类。在此基础上构建开关常闭、常断、周期性开闭三类情境，利用Matlab软件对其电流电压数值仿真，探究其内在联系并分析各子过程对整体演化的影响。结果表明，常闭情形下输出电压指数衰减，常断情形下电压上限等于输入电压，均无法实现升压；在周期性开闭条件下，宏观演化轨迹由断开子过程的阻尼类型主导，呈现欠阻尼（振荡—钳制—趋稳）或过阻尼（上升—趋稳）两类趋势，微观上则出现由开关调制引起的类锯齿纹波，而其升压机制与闭合子过程的储能有关；无论阻尼情形如何，电路都会自发趋稳，输出电压符合经典稳态框架下的理论预期。

关键词(KeyWords)： Boost电路;过渡态行为;状态方程建模;阻尼态;数值仿真;Matlab

Abstract:

Keywords:

基金项目(Foundation):

作者(Author): 薛景缤,祁予扬,吕德超,徐王熠

DOI: 10.27024/j.wlygc.2025.08.22.02

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