基于單輸入模糊PID控制算法的Buck型DC-DC變換器設(shè)計(jì)
發(fā)布時(shí)間:2018-07-24 19:09
【摘要】:DC-DC變換器的動(dòng)態(tài)性能對(duì)于電子設(shè)備的安全可靠運(yùn)行至關(guān)重要,在大多數(shù)功率變換器應(yīng)用中,通常在其額定工作點(diǎn)附近采用局部線性化方法建立小信號(hào)數(shù)學(xué)模型,并基于此模型設(shè)計(jì)線性控制器。但是Buck型DC-DC變換器具有強(qiáng)非線性,并且其傳遞函數(shù)含有與負(fù)載相關(guān)的極點(diǎn),這給傳統(tǒng)線性控制策略在變換器中的應(yīng)用帶來(lái)了挑戰(zhàn)。本文設(shè)計(jì)一種基于單輸入模糊PID (single-input fuzzy PID, SIF-PID)控制算法的快速響應(yīng)低超調(diào)Buck型DC-DC變換器,控制算法以較小的硬件資源占有率使變換器獲得優(yōu)良的動(dòng)態(tài)性能。首先,研究變換器系統(tǒng)主拓?fù)浜涂刂苹芈犯鞴δ苣K的工作原理,建立補(bǔ)償前系統(tǒng)的傳遞函數(shù);然后采用頻域法對(duì)PID控制器進(jìn)行參數(shù)整定,并設(shè)計(jì)模糊邏輯輸入輸出變量的隸屬函數(shù);其次,通過(guò)分析變換器系統(tǒng)響應(yīng)曲線及其在模糊規(guī)則表中的映射,建立具有快速響應(yīng)和低超調(diào)特性的二維Toeplitz型模糊規(guī)則表,得到雙輸入模糊PID控制器;最后,采用符號(hào)距離法對(duì)雙輸入模糊PID控制器進(jìn)行降維,得到單輸入模糊PID控制器以降低算法的硬件資源占有率,同時(shí)運(yùn)用遺傳算法進(jìn)行參數(shù)尋優(yōu),保證降維得到的單輸入模糊PID控制器具有和雙輸入模糊PID控制器等價(jià)的控制性能。本文基于FPGA搭建數(shù)字控制Buck型DC-DC變換器驗(yàn)證平臺(tái),對(duì)系統(tǒng)在不同條件下進(jìn)行測(cè)試。在啟動(dòng)過(guò)程中,基于單輸入和雙輸入模糊PID算法的變換器建立時(shí)間分別為1821μs和178μs,二者近似相等,而基于常規(guī)PID算法的變換器建立時(shí)間為252μs;當(dāng)負(fù)載電流在0.8A和1.0A之間跳變時(shí),基于單輸入和雙輸入模糊PID算法的變換器同樣具有近似相等的恢復(fù)時(shí)間與過(guò)沖,且小于采用PID算法的變換器恢復(fù)時(shí)間與過(guò)沖:當(dāng)輸入電壓從2.0V到5.0V變化以及負(fù)載電流從0A到1.2A變化時(shí),基于單輸入模糊PID算法的變換器輸出電壓能夠以小于1%的偏差穩(wěn)定在1.8V,其電壓紋波為26mV,滿(mǎn)足變換器的設(shè)計(jì)規(guī)格和穩(wěn)態(tài)性能要求。
[Abstract]:The dynamic performance of DC-DC converter is very important for the safe and reliable operation of electronic equipment. In most power converter applications, the local linearization method is usually used to establish a small signal mathematical model near the rated operating point. The linear controller is designed based on this model. However, Buck type DC-DC converter has strong nonlinearity and its transfer function contains load related poles, which brings challenges to the application of traditional linear control strategy in converters. In this paper, a fast response low overshoot Buck DC-DC converter based on single input fuzzy PID (SIF-PID) control algorithm is designed. First of all, the principle of the main topology and the function modules of the control loop of the converter system is studied, and the transfer function of the system before compensation is established, and then the parameters of the PID controller are adjusted by the frequency-domain method. The membership function of fuzzy logic input and output variables is designed. Secondly, by analyzing the response curve of converter system and its mapping in fuzzy rule table, a two-dimensional Toeplitz fuzzy rule table with fast response and low overshoot is established. The double input fuzzy PID controller is obtained. Finally, the dimension of the dual input fuzzy PID controller is reduced by the symbolic distance method, and the single input fuzzy PID controller is obtained to reduce the hardware resource share of the algorithm. At the same time, the genetic algorithm is used to optimize the parameters. It is guaranteed that the single input fuzzy PID controller obtained by reducing the dimension has the same control performance as the dual input fuzzy PID controller. In this paper, the verification platform of digitally controlled Buck type DC-DC converter is built based on FPGA, and the system is tested under different conditions. In the start-up process, the establishment time of the converter based on single input fuzzy PID algorithm and double input fuzzy PID algorithm is 1821 渭 s and 178 渭 s, respectively, which are approximately the same, while those based on conventional PID algorithm are 252 渭 s, and when the load current is between 0.8 A and 1.0 A, the time of setting up the converter is 1821 渭 s. The converter based on single input fuzzy PID algorithm and double input fuzzy PID algorithm also has approximately equal recovery time and overshoot. And the recovery time and overshoot of the converter using PID algorithm are smaller: when the input voltage changes from 2.0V to 5.0V and the load current changes from 0A to 1.2A, The output voltage of the converter based on single input fuzzy PID algorithm can be stabilized at 1.8 V with a deviation of less than 1%, and its voltage ripple is 26 MV, which meets the design specifications and steady state performance requirements of the converter.
【學(xué)位授予單位】:東南大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2016
【分類(lèi)號(hào)】:TM46
本文編號(hào):2142354
[Abstract]:The dynamic performance of DC-DC converter is very important for the safe and reliable operation of electronic equipment. In most power converter applications, the local linearization method is usually used to establish a small signal mathematical model near the rated operating point. The linear controller is designed based on this model. However, Buck type DC-DC converter has strong nonlinearity and its transfer function contains load related poles, which brings challenges to the application of traditional linear control strategy in converters. In this paper, a fast response low overshoot Buck DC-DC converter based on single input fuzzy PID (SIF-PID) control algorithm is designed. First of all, the principle of the main topology and the function modules of the control loop of the converter system is studied, and the transfer function of the system before compensation is established, and then the parameters of the PID controller are adjusted by the frequency-domain method. The membership function of fuzzy logic input and output variables is designed. Secondly, by analyzing the response curve of converter system and its mapping in fuzzy rule table, a two-dimensional Toeplitz fuzzy rule table with fast response and low overshoot is established. The double input fuzzy PID controller is obtained. Finally, the dimension of the dual input fuzzy PID controller is reduced by the symbolic distance method, and the single input fuzzy PID controller is obtained to reduce the hardware resource share of the algorithm. At the same time, the genetic algorithm is used to optimize the parameters. It is guaranteed that the single input fuzzy PID controller obtained by reducing the dimension has the same control performance as the dual input fuzzy PID controller. In this paper, the verification platform of digitally controlled Buck type DC-DC converter is built based on FPGA, and the system is tested under different conditions. In the start-up process, the establishment time of the converter based on single input fuzzy PID algorithm and double input fuzzy PID algorithm is 1821 渭 s and 178 渭 s, respectively, which are approximately the same, while those based on conventional PID algorithm are 252 渭 s, and when the load current is between 0.8 A and 1.0 A, the time of setting up the converter is 1821 渭 s. The converter based on single input fuzzy PID algorithm and double input fuzzy PID algorithm also has approximately equal recovery time and overshoot. And the recovery time and overshoot of the converter using PID algorithm are smaller: when the input voltage changes from 2.0V to 5.0V and the load current changes from 0A to 1.2A, The output voltage of the converter based on single input fuzzy PID algorithm can be stabilized at 1.8 V with a deviation of less than 1%, and its voltage ripple is 26 MV, which meets the design specifications and steady state performance requirements of the converter.
【學(xué)位授予單位】:東南大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2016
【分類(lèi)號(hào)】:TM46
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