标题： 基于状态空间平均和经典反馈技术的降压变换器建模与控制 显示英文标题

标题： Modelling and Control of a Buck Converter Using State-Space Averaging and Classical Feedback Techniques

摘要： 本研究介绍了使用状态空间平均技术的DC-DC降压转换器的建模、控制设计和性能分析。 降压转换器在现代电力电子领域中至关重要，用于可再生能源和电动汽车系统的直流电压调节。 本文首先介绍了降压转换器的基本工作原理，并强调了通过闭环控制系统进行电压调节的必要性。 推导出一个状态空间平均模型，以简化非线性开关动态，从而实现更有效的分析和控制器设计。 获得了从占空比到输出电压的小信号传递函数，以支持控制开发。 此外，还探讨了基于频域方法的比例积分（PI）控制。 PI控制器被调整以实现不同的相位裕度，并通过伯德图、阶跃响应和性能指标进行评估，揭示了超调、 settling time 和稳态误差之间的权衡。 对受控降压转换器进行了完整的仿真，验证了其在宽输入电压变化下保持稳定输出电压的能力。 结果验证了状态空间平均在控制设计中的有效性，并突显了反馈系统在电力电子转换器中的鲁棒性。 显示英文摘要

摘要： This study presents the modeling, control design, and performance analysis of a DC-DC buck converter using state-space averaging techniques. Buck converters are essential in modern power electronics for regulating DC voltages in renewable energy and electric vehicle systems. The paper first introduces the basic operation of buck converters and emphasizes the need for voltage regulation through closed-loop control systems. A state-space averaged model is derived to simplify the nonlinear switched dynamics, enabling a more effective analysis and controller design. The small-signal transfer function from the duty cycle to the output voltage is obtained to support control development. In addition, the Proportional-Integral (PI) control based on the frequency-domain method was explored. The PI controller was tuned to achieve various phase margins and is evaluated through Bode plots, step responses, and performance metrics, revealing trade-offs between overshoot, settling time, and steady-state error. A complete simulation of the controlled buck converter verifies its ability to maintain a stable output voltage across wide input voltage variations. The results validate the effectiveness of state-space averaging in control design and highlight the robustness of feedback systems in power electronic converters.