Study on paralleled dc-dc converters with self-organizing function

并联dc-dc变换器不仅是下一代微处理器的低压大电流系统，而且是具有丰富有趣现象的非线性动力系统。我们研究了基于赢者通吃原则的具有原始交换规则的系统。主要结果如下：1)为了分析系统动力学，将输出负载替换为恒压源，并引入一个简单的模型。该模型适用于系统时间常数比时钟周期大得多的情况。该模型具有分段常数（PWC）向量场和分段线性轨迹。普华永道的模型非常适合进行精确的分析。2)在单dc-dc变换器PWC模型中，明确了周期稳定运行的参数条件、混沌产生的参数条件和分岔现象的结构。在并联dc-dc变换器的PWC模型中，我们明确了实现低纹波电流共享所需的稳定多相运行的参数条件。分析了从同步现象到超混沌的分岔。3)为了系统的灵活运行，我们引入了基于时间和状态变量的多重切换策略。适当地应用开关规则，可以在几乎所有参数范围内实现稳定的多相同步。我们设计了模数混合电路来实现开关规则。制作了简单的测试电路，实验验证了典型的系统运行。

Paralleled dc-dc converters are important systems not only for lower-voltage higher-current capability in next generation micro-processors but also as nonlinear dynamical systems having rich interesting phenomena.We have studied such systems with original switching rules based on Winner-Take-All principle.The major results are as the following.1) In order to analyze the system dynamics, the output load is replaced with a constant voltage source and a simple model is introduced. The model is available in the case where the system time constant is sufficiently larger than the clock period. The model has piecewise constant(PWC) vector field and piecewise linear trajectory. The PWC model is well suited for precise analysis.2) In the PWC model of single dc-dc converter, we have clarified parameters condition for stable periodic operation, parameters condition for chaos generation and structure of bifurcation phenomena. In the PWC model of paralleled dc-dc converters, we have clarified parameters condition for stable multiphase operation that is desired for current sharing with low ripple. Bifurcation from the synchronous phenomena to hyperchaos is also analyzed.3) For flexible system operation, we have introduced plural switching strategies depending on both time and state variable. Applying the switching rules appropriately, stable multi-phase synchronization is possible for almost all parameter range. We have designed analog-digital-hybrid circuit to realize the switching rules. Fabricating simple test circuits, typical system operation is confirmed experimentally.