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comanda vectoriala a masinilor de curent alternativ
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comanda vectoriala a masinilor de curent alternativ
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REGLA RE GLARE REA A VE VE CTORIAL CTORIALA A MASINILOR INILOR DE DE CURE URE NT ALTERNATIV
EDITURA ICPE ISBN 973-97863-6-7
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S9 E2:2 =956>F9<45 6B?@C9 @>@6 C6C39B 9<9=354B9=2>6= C9 ?43 89G6>6 6>86=6 89 ?95G45B2>F7 86>2B6=6 [10]J !6C39B9<9 89 2=F64>756 9<9=356=9 ;9=34562<9 C@>3 G4<4C639 ?9>35@ =4>354<@< B6A=7566 =259 9C39 89395B6>237 89 =@?<@< 9<9=354B2P>936=D G<@LD 3@52F69 A6 / C2@ ?4:6F69D 34239 2=9C392 6>3548@C9 R>35W@> C6C39B 89 59P<259 R> E@=<7 R>=H6C7J / B7C@57 2 ?95G45B2>F96 C6C39B@<@6D R> 395B9>6 89 52?6863239 2 57C?@>C@<@6D 9C39 36B?@< 89 2==9<95259 89 <2 ?45>659 <2 ;639:2 >4B6>2<7 6B?@C7D =I3 A6 36B?@< 89 2==9<95259 89 <2 ?45>659 <2 ;639:2 B2L6B7J #=9A36 36B?6 C9 B6>6B6:92:7 ?56> @36<6:2592 =2?2=637F66 B2L6B9 89 C@?52a>=75=259 2 2=F64>7566 A6 89?6>8 89 =@?<@< B2L6B 352>:63456@D 89 B4B9>3@< 89 6>95F69 A6 89 52?453@< R>359 ;639:2 B2L6B7 A6 ;639:2 >4B6>2<7J 12?68632392 57C?@>C@<@6 89 ;639:7 89?6>89 89 52?453@< 86>359 ;2<42592 B2L6B7 2 =@?<@<@6 9<9=354B2P>936= 352>:63456@ A6 B4B9>3@< 89 6>95F69 N E *= / F OD =259 59?59:6>37 2==9<952F62 B2L6B7 6892<7 2 B4345@<@6 2=F64>23 =@ G<@L@< C32E6<63 <2 ;2<42592 C2 >4B6>2<7J #3I3 2==9<952F62 B2L6B7 =\3 A6 36B?@< 89 2==9<95259 C@>3 B756B6 =259 =252=3956:92:7 R>359P@< C6C39B NB4345D =4>;9536:45D 59P@<2345OJ #=9C392 C9 ?43 =4>C363@6 R> 8239 89 =232<4P 59?59:9>3236;9 ?9>35@ @> C6C39B 89 2=F64>259 9<9=356=7J S59=6:62 57C?@>C@<@6 C9 9L?56B7 R> 395B9>6 89 ?59=6:69 2 =4>354<@<@6 =@?<@<@6 9<9=354B2P>936=D 2 ;639:96 A6 / C2@ ?4:6F696J S9>35@ =2:@< =\>8 C9 =4>C68957 >@B26 =4>354<@< 89 =@?<@D ?@
C@< =\3 B26 2?542?9 89 ;2<42592 6B?@C7 89 =@?<@ N4G95E **OJ S59=6:62 =4>354<@<@6 ;639:96 9C39 8237 89 9542592 R>359 ;2<42592 6B?@C7 A6 =92 592<6:237 ?9>35@ 343 84B9>6@< 89 59P<259D =259 59?59:6>37 52?453@< R>359 ;639:2 B2L6B7 A6 =92 B6>6B7J S9>35@ 2=9C39 36?@56 89 C6C39B9 89 59P<259 C9 ?43 4EF6>9 ?59=6:66 89 59P<259 C@E 4G;5 ?9>35@ ;639:2 6 B2L6B7 A6 84B9>66 89 59P<259 ;H;4 J U> 2C3G9< 89 =2:@56 C9 ?4239 59>@>F2 <2 3528@=345@< =4>;9>F64>2< 8
%+"1/$&-*1* 89 ;639:7 A6 C9 ?43 2?<6=2 9C36B234259 89 ;639:7 =259 2@ =2 6>35756 39>C6@>6<9 A6 =@59>F66 B7C@52F6 A6 89 2C9B9>92 >9=9C637 A6 2>@B6F6 ?252B9356 26 B2A6>66J S9>35@ C6C39B9<9 89 ?4:6F64>259 9C39 >9=9C25 @> 3528@=345 89 ?4:6F69 89 ?59=6:69 5686=237 N9>=48959 4?36=9D 59:4<;959OJ 19:4<;959<9 C@>3 B26 89C @36<6:239D 894259=9 C9 ?43 R>=45?452 R> B4345@< 89 =J2JD R> 36B? =9 9>=48959<9 4?36=9 359E@69 C7 G69 =@?<239 R> 9L395645@< <@6J &> 2<3 6>86=9 89 ?95G45B2>F7 R< =4>C363@69 54E@C39F92 57C?@>C@<@6D =259 59?59:6>37 C9>C6E6<632392 C6C39B@<@6 <2 ;2562F62 ?252B9356<45 B4345@<@6 A6 <2 ;2562F66<9 =@?<@<@6 <2 25E459J S9>35@ B756592 54E@C39F96 @>@6 C6C39B 89 59P<259 ;9=34562< C9 ?43 @36<6:2 59P@<234259 =@ C35@=3@57 ;2562E6<7 [15], [93]D 59P@<234259 =@ B489< 89 59G956>F7 282?36; [41] C2@ 59P@<234259 2@34W282?36;9 [91], [96]J #;I>8 R> ;98959 2=9A36 6>86=6 89 ?95G45B2>F7D C3239P62 284?3237 ?9>35@ =4>354<@< B2A6>66 89 =J2J 9C39 9<9B9>3@< 89G6>63456@ ?9>35@ ?95G45B2>F9<9 86>2B6=9 2<9 C6C39B@<@6 A6 ?9>35@ @36<6:2592 <2 =2?2=632392 B2L6B7 2 2=9C3@62 [9]J 19P@<234259<9 =@ C35@=3@57 ;2562E6<7 2@ G4C3 59=9>3 6>3548@C9 R> 84B9>6@< 2=F64>756<45 9<9=356=9Q C6B?<632392 =459<237 =@ ?95G45B2>F9<9 894C9E639 ?9 =259 <9 6B?@> C6C39B@<@6 ?56> ?59=6:69 A6 6B@>63239 <2 ;2562F62 ?252B9356<45 A6 <2 ?953@5E2F66D =4>C363@69 2;2>32M9 =259 89C=H68 2=9C396 =<2C9 89 59P@<234259 @> =7B? ;2C3 89 2?<6=259 [25], [54], [68]J *+:+ %+$%-% $* -/+g*1!%* #
*+*1f%*%
&> 6>86=9 289=;23 ?9>35@ 9L?56B2592 9G6=69>F96 =4>;95C696 9>95P696 R> 59P6B C32E6<6:23 9C39 52>82B9>3@< P<4E2< η Y` Pm η = NYJcJYO P m + Σ P mot + Σ Pconv
@>89` I ! 9C39 ?@39592 <2 25E459<9 B4345@<@6D Σ I !(+ 9C39 C@B2 ?6958956<45 86> B4345 A6 Σ I /(%@ C@>3 ?6958956<9 R> =4>;95345J U> 36B?@< ?54=9C9<45 352>:634566 N2==9<952F66D 89=9<952F66O C9 89G6>9A39 52>82B9>3@< 9>95P936=J #=9C3 6>86=9 C9 @36<6:92:7 R> =2:@< C6C39B9<45 =@ G59=;9>39 ?54=9C9 352>:634566 89 2B?<63@86>9 B259J ηw =
W m W m + Σ W mot + Σ W conv
NYJcJbO
&> 2<3 6>86=9 89 ?95G45B2>F7 9C39 52?453@< 86>359 ?@39592 <2 25E459 A6 ?@39592 2?259>37 N=> / =JKOJ ( kW / kVA) =
Pm 3U 1 I 1
NYJcJcO
&> 52?453 B259 => / =JK A6 @> 52>82B9>3@< P<4E2< E@> 6>?<6=7 4 C=78959 2 ?@39566 2?259>39 A6 89=6 2 =4C3@<@6 =4>;9536:45@<@6 89 G59=;9>F7J 12?453@< ?6958956 / =@?<@ N> / L!O 9C39 @> 2<3 6>86=9 89 ?95G45B2>F7 C9B>6G6=236; ?9>35@ G@>=F64>2592 <2 ;639:9 C=7:@39D 59P6B R> =259 2=92C37 B756B9 89;6>9 <6B63236;7 A6 892C9B9>92 4 B7C@57 2 R>=7<:6566 B4345@<@6J *+;+ -/!"&' !%!"*K*'/1 $* #-,%/+#1* *'*-"1%-0
-4C3@< 3432< M +(+ 2< @>@6 C6C39B 89 2=F64>259 59?59:6>37 C@B2` C tot = C echip + C inst + C intr + C pierd
9
NYJdJYO
%+"1/$&-*1* @>89` M */N$. 59?59:6>37 =4C3@< C6C39B@<@6 89 2=F64>259 NB4345D =4>;9536:45D C6C39B 89 =4B2>87 A6 59P<259OD M $%1+ C@>3 =H9<3@69<6<9 89 6>C32<259D M $%+) C@>3 =H9<3@69<6<9 89 R>359F6>959D A6 M .$*), 59?59:6>37 =H9<3@69<6<9 ?6958956<45 9>95P936=9 6>3548@C9 89 C6C39B ?9 34237 ?9564282 89 G@>=F64>259J $94259=9 @> C6C39B 89 2=F64>259 259 4 ;62F7 89 G@>=F64>259 <@>P7 N ~ 74G444 ()* OD =H9<3@69<6<9 ?6958956<45 9>95P936=9 359E@69 <@239 C9564C R> =4>C68952F69J K2C2 C?9=6G6=7 C9 89G6>9A39 C9?2523 ?9>35@ B4345 A6 =4>;9536:45` mmot =
mconv =
M ek [ Nm / kg ] Masa motor putere aparenta convertizor masa convertizor
NYJdJbO [ kVA / kg ]
NYJdJcO
%>86=66 89 ?95G45B2>F7 86>2B6=6D 6>86=66 89 =4>;95C69 2 9>95P696D =4C3@< A6 B2C2 C?9=6G6=7 ?43 =4>C363@6 =5639566 89 =4B?25259 2 C6C39B9<45 89 2=F64>756 9<9=356=9J *+<+ -/+"1/'&' g*-"/1%#' #' K#)%+%'/1 $* -J#J
!W2@ ?59:9>323 ?9 C=@53 =\39;2 36?@56 89 =4>;9534259 @36<6:239 ?9>35@ 2<6B9>32592 B2A6>6<45 89 =J2J A6 CW2 89G6>63 /(!"%," @*/+()$"?& =2 G66>8 =4>354<@< C9?2523 2< =@?<@<@6 A6 G<@L@<@6J -4>354<@< ;9=34562< 2< C6C39B9<45 89 =J2J C9 59G957 <2 G2:4566 C?2F62<6 26 G<@L@56<45D =@59>F6<45 A6 39>C6@>6<45 B2A6>66 89 =J2J .> ?56>=6?6@D =@59>3@< C323456= 2< B2A6>66 89 =J2J ?4239 G6 89C=4B?@C a> =4B?4>9>32 89 B2P>936:259 N89 ?548@=959 2 G<@L@<@6O $ E A6 =4B?4>9>32 89 =@?<@ $A J #=9C39 84@7 =4B?4>9>39 C@>3 2?46 89=@?<239 A6 =4>354<239 C9?2523J .> P9>952
9>32 89 B2P>936:259D $ E D ;2562:7 <9>3 A6 9C39 B9>F6>@37 =4>C32>37 ?9>35@ @> 57C?@>C 52?68D a> 36B? =9 =4B?4>9>32 89 =@?<@D $A D ;2562:7 52?68J !9 ?4239 C?@>9 =7 ;2562F62 <@6 $ E 9C39 6B?@C7 89 6>8@=36;632392 89 B2P>936:259 A6 ;2562F62 <@6 $A D 89 6>8@=36;632392 352>:634569 2 B2A6>66J S56>=6?66<9 =4>354<@<@6 ;9=34562< C@>3 8239 a> =2?634<9<9 @5B734259D =@ ?2536=@<25637F6 C?9=6G6=9 G69=75@6 36? 89 C6C39B A6 B2A6>7 89 =J2J !9 ?4239 =4>=<@:64>2 =7 C6C39B9<9 89 2=F64>259 =@ B2A6>6 89 =J2J C@>3 ?59G95239 =9<45 89 =J=J ?9>35@ =9<9 B26 B@<39 86>359 2?<6=2F66<9 89 ?235@ =2852>9J '2 ;639:9 B256 N?9C39 ;4444 ).!O A6 ?@3956 B4895239 C2@ <2 ;639:9 B4895239 N ~ ;444 ).!O A6 ?@3956 B256 N E> OD =4B@32345@< B9=2>6= <6B6392:7 2?<6=2F66<9 B2A6>6<45 89 =J=J "9>86>F2 2=3@2<7 a> C6C39B9<9 89 2=F64>259 =@ ;639:7 ;2562E6<7 9C39 2=992 89 2 @36<6:2 B2A6>6<9 89 =J2J 456@>89 9C39 ?4C6E6
86>F7 9C39 89 2A39?323 C7 =4>36>@9J
10
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