E. Dold and Sohne BH5928.92-61 這種設(shè)計(jì)的計(jì)劃是，獲得1.0kHz 開(kāi)環(huán)傳輸函數(shù)的整體增益。1.0kHz 下，“車(chē)間”具有約+9 dB的增益。利用積分電路后面緊跟GPS（s）極點(diǎn)頻率零點(diǎn)，并且使用一個(gè)可產(chǎn)生1.0kHz 預(yù)期交叉-9 dB的整體增益（+9 dB + –9 dB = 0 dB），可以輕松地對(duì)這種正向傳輸函數(shù)進(jìn)行補(bǔ)償。這種補(bǔ)償接近于通過(guò)交叉的單極轉(zhuǎn)降特性，并帶來(lái)足夠的相位余量。

波特穩(wěn)定性標(biāo)準(zhǔn)

負(fù)反饋閉環(huán)系統(tǒng)具有一個(gè)如方程式7所示傳輸函數(shù)：

其中，G（s）為正向（“車(chē)間”）傳輸函數(shù)，H（s）為負(fù)反饋控制，而G（s）H（s）為開(kāi)環(huán)傳輸函數(shù)。波特穩(wěn)定性標(biāo)準(zhǔn)規(guī)定，除非G（s） H（s）=-1，否則Y（s）有理。在后一種情況下，Y（s）為無(wú)限且不穩(wěn)定。如果出現(xiàn)不穩(wěn)定，還必須具備兩個(gè)條件。首先，|G（s）H（s）|必須等于1（增益=0dB ）；其次，G（s）H（s） 相位必須等于–180 °，相當(dāng)于-1。包括相位余量和增益余量在內(nèi)的波特圖，用于評(píng)估控制設(shè)計(jì)接近這種條件的程度。當(dāng)增益等于0 dB時(shí)，相位余量被定義為G（s）H（s）和–180 °之間的相位差，同時(shí)當(dāng)相位等于–180 °時(shí)增益余量是指負(fù)增益。在電源設(shè)計(jì)過(guò)程中，通?？紤]45°以上的相位余量。

表1 負(fù)升壓穩(wěn)壓器的設(shè)計(jì)值和TPS54020產(chǎn)品說(shuō)明書(shū)參數(shù)

誤差放大器補(bǔ)償

圖6顯示了誤差放大器（EA），該電路的傳輸函數(shù)描述如下：

注意，跨導(dǎo)誤差放大器的傳輸函數(shù)包括反饋分頻器增益。如果它是一個(gè)電壓反饋誤差放大器，則分頻器不會(huì)為一個(gè)增益項(xiàng)。查看方程式8我們發(fā)現(xiàn)，GEA（S）在0Hz處有一個(gè)極點(diǎn)，即下面頻率下的一個(gè)補(bǔ)償零點(diǎn)：

高頻極點(diǎn)頻率為：

注意，如果零點(diǎn)和極點(diǎn)以10或者以上作為間隔，則C15》》C1。我們的計(jì)劃是，讓增益等于1.0kHz時(shí)的-9dB。把零點(diǎn)放置于GPS（S）極點(diǎn)（4.4kHz），以補(bǔ)償“車(chē)間”極點(diǎn)，然后再更高頻率下放置其他極點(diǎn)。

評(píng)估f=1.0kHz的|GEA（s）|，并設(shè)置其等于-9dB，得到C1+C15≈0.117uF。我們選擇最接近標(biāo)準(zhǔn)值0.10uF。給定C15和4.4kHz預(yù)期零點(diǎn)位置時(shí)，R1可計(jì)算為360Ω。我們選擇最接近標(biāo)準(zhǔn)值的357Ω。高頻極點(diǎn)放置在50kHz處。這種做法有些隨意，但是該極點(diǎn)需大于10倍交叉頻率。以確保它不會(huì)降低環(huán)路相位余量。需要添加該高頻極點(diǎn)是因?yàn)椋尛h(huán)路增益在高頻下不斷下降。經(jīng)計(jì)算，C1為0.01uF。圖7顯示了轉(zhuǎn)換器最終補(bǔ)償環(huán)路的波特圖。預(yù)計(jì)開(kāi)環(huán)增益和相位，與測(cè)量的開(kāi)環(huán)增益和相位緊密匹配，接近1.0kHz整體增益交叉。

E. Dold and Sohne BH5928.92-61 
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Siemens Servo Mtr 1FT55104-0AF01-2-Z #E C182 7548 03002

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E. Dold and Sohne BH5928.92-61