مقایسه کنترل پیش‌بین FCS-MPC و کنترل پیش‌بین مبتنی بر تئوری لیاپانوف در یکسوساز PUC هفت‌سطحی
محورهای موضوعی : مهندسی برق و کامپیوتر
علی محمد محمدپور بهبید
1
,
محمدرضا علیزاده پهلوانی
2
,
آرش دهستانی کلاگر
3
,
علیرضا داوری
4
1 - مجتمع دانشگاهی برق و کامپیوتر، دانشگاه صنعتی مالک اشتر
2 - مجتمع دانشگاهی برق و کامپیوتر، دانشگاه صنعتی مالک اشتر
3 - مجتمع دانشگاهی برق و کامپیوتر، دانشگاه صنعتی مالک اشتر
4 - دانشکده برق، دانشگاه تربیت دبیر شهید رجایی
کلید واژه: تابع لیاپانوف, کنترل پیش‌بین با ورودی محدود (FCS-MPC), مبدل چندسطحی, مبدل PUC هفت‌سطحی(PUC7),
چکیده مقاله :
در این مقاله، دو روش کنترل پیش‌بین برای یکسوساز چندسطحی با خروجی دوگانه مقایسه شده است. ساختار مورد بررسی، یکسوساز PUC هفت‌سطحی است که بر اساس قابلیت اطمینان بالا و هزینه کم انتخاب شده است. افزایش تعداد سطوح ولتاژ ورودی به کاهش دامنه هارمونیک‌ها و به تبع آن، کاهش حجم فیلترهای توان کمک می‌کند. از طرفی هدایت جریان در این مبدل به‌صورت پیوسته انجام می‌شود و مشکلات گسستگی جریان مانند پیچیدگی در تحلیل و اجبار به استفاده از فیلترهای القایی بزرگ در سمت DC برطرف می‌گردد. در مرحله اول، طراحی بر اساس روش FCS-MPC انجام شده و دو ولتاژ خروجی متفاوت با نسبت‌های 1 و 3 به‌دست آمده و کنترل مقادیر DC خروجی و رسیدن به ضریب توان واحد به‌خوبی تأمین گردیده است. سپس برای رسیدن به پایداری بهتر در سیستم از روش MPC مبتنی بر تئوری لیاپانوف استفاده شده است. در این روش، متغیرهای هدف در دل تابع لیاپانوف تعریف شده‌اند و تابع هزینه نیز برگرفته از همان تابع لیاپانوف می‌باشد. از مزایای این رهیافت نسبت به روش MPC معمولی، عدم نیاز به تنظیم بهره، پیاده‌سازی آسان‌تر و تعداد سنسورهای کمتر است (جریان بار با استفاده از مدل ریاضی یکسوساز 7PUC تخمین زده می‌شود). شبیه‌سازی هر دو روش FCS-MPC و MPC مبتنی بر روش لیاپانوف با استفاده از Matlab/Simulink انجام شده و نتایج هر دو روش در کنار هم، ارائه و با یکدیگر مقایسه گردیده‌اند. نهایتاً مشاهده می‌شود که در روش مبتنی بر لیاپانوف، رهگیری جریان به‌صورتی نرم‌تر و با نوسانات کمتری انجام شده و ولتاژ هفت‌سطحی یکسوساز نیز الگویی منظم‌تر و شکل سینوسی بهتری دارد.
In this paper, two predictive control methods for dual output multilevel rectifier are compared. The investigated structure is a seven-level PUC rectifier, which was selected based on high reliability and low cost. Increasing the number of input voltage levels helps to reduce the amount of harmonics and consequently reduce the size of power filters. On the other hand, current conduction in this converter is performed continuously and the problems of current discontinuity such as complexity in analysis and the requirement to use large induction filters on the DC side are solved. First, the design is accomplished based on the FCS-MPC method and two different output voltages with ratios of 1 and 3 are obtained. Also, the control of output DC voltages and unity input power factor is well provided. Then, to achieve better stability, the MPC method based on Lyapunov theory has been utilized. In this method, the target variables are defined in the Lyapunov function and the cost function is derived from the same Lyapunov function. The advantages of this approach compared to the conventional MPC method are no need for gain adjustment, easier implementation and fewer sensors (the load current is estimated using the PUC7 rectifier mathematical model). The simulation of both FCS-MPC and predictive control based on Lyapunov method is carried out using Matlab/Simulink and the results of both methods are presented and compared with each other. Finally, it can be seen that in the Lyapunov-based method, the tracking of the reference current is smoother and with less fluctuations, and the seven-level rectifier voltage also has a more regular and sinusoidal waveform.
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