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# chap14 - 14 Inductor Design This chapter treats the design...

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14 Inductor Des i gn Th i s chapter treats the des i gn of magnet i c elements such as f i lter i nductors, us i ng the method . W i th th i s method, the max i mum flux dens i ty i s spec i f i ed i n advance, and the element i s des i gned to atta i n a g i ven copper loss . The des i gn of a bas i c f i lter i nductor i s d i scussed i n Sect i ons 14 . 1 and 14 . 1 . 5 . In the f i lter i nduc- tor appl i cat i on, i t i s necessary to obta i n the requ i red i nductance, avo i d saturat i on, and obta i n an accept- able low dc w i nd i ng res i stance and copper loss . The geometr i cal constant i s a measure of the effect i ve magnet i c s i ze of a core, when dc copper loss and w i nd i ng res i stance are the dom i nant constra i nts [1,2] . Des i gn of a f i lter i nductor i nvolves select i on of a core hav i ng a suff i c i ently large for the appl i cat i on, then comput i ng the requ i red a i r gap, turns, and w i re s i ze . A s i mple step-by-step f i lter i nductor des i gn procedure i s g i ven . Values of for common ferr i te core shapes are tabulated i n Append i x D . Extens i on of the method to mult i ple-w i nd i ng elements i s covered i n Sect i on 14 . 3 . In appl i ca- t i ons requ i r i ng mult i ple w i nd i ngs, i t i s necessary to opt i m i ze the w i re s i zes of the w i nd i ngs so that the overall copper loss i s m i n i m i zed . It i s also necessary to wr i te an equat i on that relates the peak flux den- s i ty to the appl i ed waveforms or to the des i red w i nd i ng i nductance . Aga i n, a s i mple step-by-step trans- former des i gn approach i s g i ven . The goal of the approach of th i s chapter i s the des i gn of a magnet i c dev i ce hav i ng a g i ven copper loss . Core loss i s not spec i f i cally addressed i n the approach, and i s a g i ven f i xed value . In the next chapter, the flux dens i ty i s treated as a des i gn var i able to be opt i m i zed . Th i s allows the overall loss ( i. e . , core loss plus copper loss) to be m i n i m i zed . 14.1 A f i lter i nductor employed i n a CCM buck converter i s i llustrated i n F i g . 14 . 1(a) . In th i s appl i cat i on, the value of i nductance L i s usually chosen such that the i nductor current r i pple peakmagn i tude i s a small fract i on of the full-load i nductor current dc component I , as i llustrated i n F i g . 14 . 1(b) . As i llustrated i n F i g . 14 . 2, an a i r gap i s employed that i s suff i c i ently large to prevent saturat i on of the core by the peak FILTER INDUCTOR DESIGN CONSTRAINTS

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540 Inductor Design current Let us cons i der the des i gn of the f i lter i nductor i llustrated i n F i gs . 14 . 1 and 14 . 2 . It i s assumed that the core and prox i m i ty losses are negl i g i ble, so that the i nductor losses are dom i nated by the low-frequency copper losses . The i nductor can therefore be modeled by the equ i valent c i rcu i t of F i g . 14 . 3, i n wh i ch R represents the dc res i stance of the w i nd- i ng . It i s des i red to obta i n a g i ven i nductance L and g i ven w i nd i ng res i s- tance R. The i
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chap14 - 14 Inductor Design This chapter treats the design...

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