طراحی کنترل‌کننده و تحلیل پایداری مجانبی مبدل باک با ساختار کنترلی آبشاری و استفاده از نظریه آشفتگی منفرد
محورهای موضوعی : مهندسی برق و کامپیوتر
سجاد آذراستمال
1
(دانشگاه صنعتی سهند تبریز)
محمد هجری
2
(دانشگاه صنعتی سهند)
کلید واژه: پایداری مجانبی کنترل آبشاریکنترل مد لغزشیمبدل باک DC-DCنظریه آشفتگی منفرد,
چکیده مقاله :
این مقاله، اثبات نظری پایداری مجانبی حلقه بسته مبدل باک DC-DC را بر مبنای نظریه آشفتگی منفرد ارائه می‌دهد. به دلیل ماهیت ساختار دو مقیاس زمانی با دینامیک‌های تند و کند در این مبدل، برای کنترل آن از ساختار کنترلی آبشاری استفاده شده است. این کنترل‌کننده دارای دو حلقه کنترلی می‌باشد: یک حلقه بیرونی برای کنترل ولتاژ خروجی بر مبنای کنترل تناسبی- انتگرالی و یک حلقه درونی برای کنترل جریان سلف بر مبنای کنترل مد لغزشی. کنترل‌کننده‌های مربوط به هر کدام از حلقه‌ها بر مبنای نظریه آشفتگی طوری طراحی می‌شوند که محدودیت‌های در نظر گرفته شده برای مبدل را برآورده کرده و پایداری مجانبی حلقه بسته را در گستره وسیعی از شرایط اولیه مبدل، تضمین کنند. جهت اعتبارسنجی، روش پیشنهادی برای یک مبدل باک نوعی در محیط Matlab-Simulink شبیه‌سازی شده است. نتایج شبیه‌سازی نشان می‌دهد که با انتخاب مناسب ضرایب کنترل‌کننده PI حلقه بیرونی، مطلوبات مسئله برآورده شده و سیستم پایدار مجانبی می‌شود. همچنین مقاومت سیستم در برابر نامعینی بار و اغتشاشات ورودی و نیز نحوه ردیابی مرجع ولتاژ مورد ارزیابی قرار گرفته و ساختار پیشنهادی با ساختار PI-PI مقایسه شده است.
This paper presents the theoretical proof for the closed-loop asymptotic stability of a DC-DC buck converter based on singular perturbation theory. Due to the two-time scales structure of this converter with fast and slow dynamics, a cascade control structure is used to control it. This controller has two control loops: an outer loop to control the output voltage based on the proportional-integral control and an inner loop to control the inductor current based on the sliding mode control. The controllers in the loops are designed based on perturbation theory to meet the constraints of the converter and ensure the asymptotic stability of the closed-loop system over a wide range of initial conditions. For validation, the proposed control design method is simulated for a typical buck converter in the MATLAB-SIMULINK environment. The simulation results show that by properly selecting the PI controller coefficients in the outer loop, the problem requirements are met, and the asymptotic stability of the closed-loop system is guaranteed in a wide range of the converter initial conditions. Furthermore, the system robustness against load uncertainty and input disturbances as well as the voltage reference tracking are evaluated, and the proposed structure is compared with a PI-PI structure.
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