Question

T т, D >LOAD

In the class E chopper ( Prof ) the equation of current I minimum and I maximium using any mathematical (Laplace, integration and defferential)

Answer 1

LOAD D2 Ty T2 Calculation Iminimum and I maximum 8- Fos the Load , nohich mna be DC Tnotor e= Ri+ L di +E O St tON them nehan the CH 1 Ri Ldi E O = ToN tT Tranform Laplacs the RILS) L 1 RTS)LSIS) -I

Fron Etion = Vo-E L- In 73+)S R+S.L Vs- E S R S L Laplace nverse dor aluove Vc-E 1- e O tTon the dime doman Exeb reeiion fo similonty Current orquaiabre 8augton + Ima 1-e -- TON t<T t-ToN whure t = Toff t aTt T-ToN he variation t cuvunt iut) from {t)=Im Im to I (V ot t =ToN -Taw Ie E1- Vs-€ e

at t To T- TON t'=Imm - --TON)/Ta Imn- -(T-ToN)/Ta ) hchere Equation cam be salved lor Ime amd and vi ToN/TO 3-3 TON/TO Imx = Vs1-e ToN/T) Subs tultóm atnon /Ta -TON E E e R R FmxVs-NTa- Ta -T-ToN) E e /Tor TON -LT- TON/T ToN/Ta Ime ToN TO lON Ta 4-e Imx TO 1-e 11

Subslilutong Imex rem qnaton -(T-Ton) To Vs R - (T-)E TON/To -E 1- e 1-eTO/To ToN Ta ToN ta 4 R To