一. BOOST电路工作原理
1.T导通,D截止
当T导通时,电源Vs向电感L充电,电容C向负载R供电。
![ab5f2bfe0ffa47fdaa553902483fd802?from=pc.jpg ab5f2bfe0ffa47fdaa553902483fd802?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008e2xz55bq1xmutkk2.jpg)
2.T阻断,D导通
当T关断时,电源Vs和电感L同时向电容C充电,并向负载提供能量
![c48d358992c940289fe98ee66c87fbba?from=pc.jpg c48d358992c940289fe98ee66c87fbba?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008bct546z22foft4vh.jpg)
3.BOOST电路CCM模式工作波形
![5f95ffce8fbe4a759775a0a06326b999?from=pc.jpg 5f95ffce8fbe4a759775a0a06326b999?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008hvdydvi51tn8nilh.jpg)
二. BOOST 电路参数计算
1. 输出电压平均值VO
①设T开通的时间为Ton,此阶段电感L上积蓄的能量为:
![ed86ec9daac64b9682d0891a0a77c0ab?from=pc.jpg ed86ec9daac64b9682d0891a0a77c0ab?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008amiocowocw7mc3mm.jpg)
②设T关断的时间为Toff,此时期电感L释放的能量为:
![003815882ba343c8ab5d4564298204bd?from=pc.jpg 003815882ba343c8ab5d4564298204bd?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008jydgigc58m0gemy2.jpg)
③BOOST稳态时,一个周期内电感L上积蓄的能量与释放的能量相等则:
![49c01c34b26c43b9abc1cb74643a4961?from=pc.jpg 49c01c34b26c43b9abc1cb74643a4961?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008osfowsyw2sbx2dxx.jpg)
![08975c7a09494ad894d931dc4f059ee5?from=pc.jpg 08975c7a09494ad894d931dc4f059ee5?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008x2j2l9xwn9blwk52.jpg)
2.输出电流平均值Io
![72ddb563286740ecaab7432f41fa0419?from=pc.jpg 72ddb563286740ecaab7432f41fa0419?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008rnds0roocm6770e4.jpg)
3.电源电流平均值IL
①输入输出能量守恒
![99e76a48931f4b3490d6e1d277c1ad65?from=pc.jpg 99e76a48931f4b3490d6e1d277c1ad65?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008d9ukwxf2kxoxqibf.jpg)
②电源电流平均值IL
![865710ee5b9d4fd3a6a59439e61a6670?from=pc.jpg 865710ee5b9d4fd3a6a59439e61a6670?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008nq0q0cpl9zk9qyqc.jpg)
3.输出纹波
输出电压脉动等于开关管T导通时期,电容C的电压变化(电容C在开关T导通时电压下降;在开关T关断时电压上升,稳态时,电容C的电压上量升等于电压下降量。所以开关T导通时,电容C的电压变化可以看作是是输出纹波)
![808ce755692742dcaefd91628a042cf1?from=pc.jpg 808ce755692742dcaefd91628a042cf1?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008udw2kntekw781xds.jpg)
4.CCM工作模式,连续电流
![5d66aeff583543e09d4b617823d0a936?from=pc.jpg 5d66aeff583543e09d4b617823d0a936?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008a068z8ophoafjh6j.jpg)
![69b0f3c704e745b3a206704ccde48e67?from=pc.jpg 69b0f3c704e745b3a206704ccde48e67?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008mupaiapqawkwvgvk.jpg)
![38c17d79a3a243d4b55806b255b1decb?from=pc.jpg 38c17d79a3a243d4b55806b255b1decb?from=pc.jpg](https://static.assets-stash.eet-china.com/forum/202203/14/122008kzonnbnns7n71oos.jpg)
(M为升压比)
*要满足CCM工作模式,需要电感电流最小值大于电感临界连续电流。
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