SPECTRAL CALCULATION OF THE OUTPUT VOLTAGE OF AN INVERTER WITH BIPOLAR PULSE WIDTH MODULATION

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1 PECRAL CALCULAION OF HE OUPU VOLAGE OF AN INVERER WIH BIPOLAR PULE WIDH MODULAION Iv Mč, Vo Šu, Zvoo Bčć 3 Uvy o Zgb, Fuy o E Egg Compug Zgb, Co v.m@.h, vo.u@.h, zvoo.b@.h 3 Ab. Cov wh pu wh mouo u o o bw h DC AC wo,.g. uup pow uppy ym, AC omoo v, o powg uo u, uo hqu. pum o g mp by pu mpu mouo oupu vog pum o h ov wh pu wh mouo hv m pop. pum o g mp by pu mpu mouo o hmo o quy qu o h quy o h moug g h hmo o qu qu o h um o quy o h moug g mup o h mpg quy. h oupu vog pum o h ov wh bpo pu wh mouo o hmo o quy qu o h quy o h moug g hmo o qu qu o um o h quy o h moug g mup o h quy o h g. I o o hmo o qu qu o h um o h mup o h quy o h moug g h mup o h g. h ompo y w ou o h hmo o h oupu vog o h ov wh bpo pu wh mouo m om. h py o h mpu quy p o h wv om o h g moug g w how. my o h oupu vog pum o h ov g pum mp by h pu wh mouo w o how. Kywo. oupu vog ov wh bpo pu wh mouo, p y, Fou, g, g. INRODUCION I [] vog pum uo w ou o h pu wh mouo ov PWM- -ov ug h Fou omo o wo vb uo oub vb oo wvom Fou. h uo w pom by pg o h vog wvom o Fou by ug h o, umg po vog. h po vog o h ogog ppo. A po g wh po b p by Fou goom o ompx om. goom om o Fou : g b EDPE 9, Oob -, 9, Dubov, Co

2 Compx om o Fou : m m g I b um h h uo g qu gb ov h v,, o,, b : g 3 g g b 5 g b 6 A xmp p uo w ou o h g o h uo wvom mp by pu mpu mouo. mpg o g by o h D -u gv h g vu mpu o h mom o mpg. mpg o g wh pu mpu mouo b mhmy mo pou o h moug g g. mpg o g wh pu wh mouo gv h m vu g o h mpg po by h o o uo o vu pov gv pu. mpg o g wh pu wh mouo b mhmy mo g uo o h bw h moug g h g. Fg.. how bo gm o h mpg mo o h uo g by pu mpu mouo, Fg.. b how bo gm o h mpg mo o h uo g by pu wh mouo. Mouo o h g, og o [], ou bu h om o h mou g ub o mo hough h vu mum. EDPE 9, Oob -, 9, Dubov, Co

3 Fg.. R g moug, g mg g mou g mp h Fou o h g mou by pu mpu mouo u pou o h moug g Fou h g Fou. h p h mou g pum uo uo o h o po o h g o Fou. h Fou h ompx om o D -uo δ : δ 7 Fou ompx om o h g : 8 h o o h ompx om Fou 8. h ompx om Fou o h uo wvom g mp by pu mpu mouo : M δ 9 EDPE 9, Oob -, 9, Dubov, Co

4 Fo h pupo o h xpo 9 goom om, h mgy p o h o 9 mu b p. R p boh um zo, h mgy p. Aog o 6 oow h b og o, 9 h goom om: M h pum o h pu mpu mouo mp g p po pum o h mp g, wh h po qu o h mpg po.. BIPOLAR PULE WIDH MODULAION FOR HE RIANGULAR CARRIER IGNAL p uo w ou o h hmo o h mou g o h g o wvom o h bpo mho o pu wh mouo. h uo w ou o h wvom o h g, h om h mo o u o h ppo h ummy. h u o h p uo o h mou g PWM-v w v g h u o h uo []. h bpo pu wh mouo wo-v pu wh mouo, h oupu vog o h ov pov gv vu o h pu vog. Fo h v wh h g hgh h h g h ov oupu vog pov, h v wh h g ow h h g h ov oupu vog gv. Fg.. how h ompo o h g h g N, Fg.. b how h mou g m. Fg.. Compo o h g h g h mou g m EDPE 9, Oob -, 9, Dubov, Co

5 h vog wvom o h ov qu o h wvom o h mou g. m h m h o h g, m h m h o h g. h po o h g, h po o h g. I um h h ph h o h g h g qu h h o o g umb. I h o o o g umb, h mou g o po h Fou omo mu b u o h Fou. h mpu o h g h g o hv vu o, o h o mp uo o h Fou o. h g mpu y vu h v o [, A N], wh A N h mpu o h g. Wvom o h mou g, how Fg. 3. b, po wh h po o h g. g m Fg. 3. b p h um o g m,..., m, how Fg. 3. b 3., wh. Fou o h g Fg. 3. b p h um o Fou o h g m,..., m Fg. 3. b 3.. m m m b m m Fg. 3. P o mou g EDPE 9, Oob -, 9, Dubov, Co

6 h o o h g m o h ompx om Fou u og o 6. h go bou h g po o h g h g,.. ouo o h ym o wo quo: quo o h g h g. Po om 6 o o hv o b qu, h wvom g Fg. 3. o wo po:. I h go m h ouo o h g quo, h xpo po om 6. I h go m h ouo o h g quo, h xpo po om 6. Po om 6 h po o h g h Fg. 3. b o y om o ouo o h quo ym. h g m h m m. h o o h g m : u pg o h wvom o h g. h o o h mou g h um o o : 3 I um h h g, o ompo o h u wh h u u [], h o : EDPE 9, Oob -, 9, Dubov, Co

7 Wh, pou o, h ph h o h g,, pou o, h ph h o h g. B u o h o h -h o, h quy o h g. u by ppyg h L'Hop u, u o zo h umo omo o h o o o o g. I o ug o o h g, b u og o 3, pg h Fou goom om. By g o h mou g b p h Fou ompx om: m 5 5 b w : [ ] [ ]} m 6 h o h v uo. h oowg pp: 7 8 EDPE 9, Oob -, 9, Dubov, Co

8 9 I b w: m Rouo o mgy p o h o u o h xpo h goom om ou ogouy o ho h o Iouo. h xpo h goom om : m h o u og o 3, ogouy o uo o h o : 3 By o o o h mou g b p : 5 EDPE 9, Oob -, 9, Dubov, Co

9 m [ ] h B uo o h o o h gum h om:! Γ 6 By gowh o o o h B uo, vu xpoy. h B uo o h h o by v o o mgu m ompo o h B uo o h h o o, o h m gum. I [] h mou o h B uo o > 9 g. h hmo o h mou g how h Fg.., o h quy o h g Hz h quy o h g o 5 Hz. h quy o h g om ompo o h quy o h g h hmo om 3 p vy, h Fg.. Hmo o b hmo []. C b hmo qu o wo qu o h wvom o h vog o h PWMov quy o h moug g g. Fg.. Ampu - quy pop o h PWM-ov oupu vog h o h gu g EDPE 9, Oob -, 9, Dubov, Co

10 . BIPOLAR PULE WIDH MODULAION IN HE CAE OF AWOOH CARRIER IGNAL h uo o h Fou o mou g by bpo pu wh mouo h o wooh g wvom w ou h m m h o o h bpo mouo o h pu wh h o gu g wvom. Co o h mou g Fou m : 7 Co : 8 h o h zo h umo omo u by ppyg h L'Hop u. I o ug h o, h o b u og o 3, h Fou p goom om.by g 8 o h mou g b p Fou ompx om: m 9 Rpo o h Fou goom om o ogouy o h o h gu g. Co : 3 EDPE 9, Oob -, 9, Dubov, Co

11 Co : 3 h mou g p Fou goom om : m [ ] [ ] m [ ] [ ] [ m ] 3 pum o h mou g mp by pu wh mouo o wooh g om h pum o h mou g mp by gu g h o h ompyg hmo. h qu o hg go bou wh ug Fou o. A w h o pu wh mou wh gu g, hmo o h mou g hv quy qu o h um o h mup o h quy o h g h mup o h g. CONCLUION h y o h quy hmo o h ov oupu vog wh h bpo pu wh mouo w ou m om. h pp uo mho o h pum pom whou o ow h oub vb oo wvom Fou. Chgg h bou o go wh ug h mmb o h Fou pp o h pou o uo o h quy pum o y om o h g h g. I w mo h h g pum mp by vou om o h g h o h b hmo. App o h b hmo h oupu vog pum o h ov h u o wo qu o h wvom o h ov vog. LIERAURE [] Hom, D. G.; Lpo,.A.: Pu wh mouo o pow ov pp p, IEEE P, Wy, 3 [] h xo Co, Log zvo Mov Kž, 7 [3] K,.G.: Pp o pow o Co, Gph, Zgb, EDPE 9, Oob -, 9, Dubov, Co

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