Research Initiation: Analytical Methods for Switching PowerConverters

拟议项目的目标是研究和改善 目前用于设计和建模的分析方法 开关电源转换器 特别是， 简单转换器的性能将与近似转换器的性能进行比较。 用广泛使用的“状态空间平均法”得到的解 ！以及通过离散方法的扩展获得的解。 一些定理适用于某些近似解 非线性系统<$3，4！ 这些将用于确定 状态空间平均方法是预测性的条件。 目前，状态空间平均解的性质， 相对于稳定性和瞬态响应的实际 转换器并不容易理解。 转换器与 工作频率和系统响应时间也不理想 明白了！ 预计现有的近似知识 求解方法将为扩展状态空间提供基础 求平均值，使其可以应用于大信号行为。 分析 结果将通过简单DC-DC电源的实验得到验证 转换器。

The objectives of the proposed project are to study and improve analytical methods currently used in the design and modelling of switching power converters. In particular, exact solutions for the behavior of simple converters will be compared with approximate solutions obtained with the widely used "state space average" method ı1!, and to solutions obtained by extension of discrete methods ı2!. A number of theorems apply to certain approximate solutions of nonlinear systems ı3,4!. These will be used to determine the conditions under which the state-space average methods are predictive. At present, the properties of state-space average solutions with respect to the stability and the transient response of the actual converter are not well understood. The relationship between converter operating frequency and system response time is also not well understood ı5!. It is expected that existing knowledge of approximate solution methods will provide a basis for expanding state-space averaging so that it can apply to large-signal behavior. Analytical results will be verified experimentally for simple dc-dc power converters.