ELECTRÓNICA DE POTENCIA CARMELO LOBO DE LA SERNA CURSO 2013-2014 ! ! "# $" " % ! & % ! (! * $" & # ' "# $" "+ # " #! ! # ' - ! " .& ' - ! % /0 & '* - ! +& ) " "# ! ! # 2 0 & ! 3 "& ! # & "! ! ) % 0 " ! & " & "# " ) % $5 & 3 )* % )' % )) % , & ! 3 "& ! 3 ! "#0 ! , " 7 , " 7 *88 ,* " 7 ,88 ,' " 7 *98 ,) " 7 ,98 1 "& ! ! "# " " ! "#0 ! 4 . ! #! "# $" " " # ! & 0& ! 4 3 & ; " ! 0 # # <9 = 4 3 0 & > <9 = 4* " # ! ! # <9* = 6 "& " " "& & & : & $" ! & & & <? = & ! ! "# $" " % ! & % ! (! $" & # "# $" "+ # " #! ! # " "# ! ! # 2 0 & ! 3 "& ! # & "! ! ) % 0 " ! & " & "# " ) % $5 & 3 )* % )' % )) % & ! 3 "& ! 3 ! "#0 ! , " 7 , " 7 *88 ,* " 7 *98 . ! #! "# $" " " # ! & 0& ! 1 3 & ; " ! 0 # # <9 = 1 3 0 & > <9 = 1* " # ! ! # <9* = "& " " "& & & & $" ! & & & <? = "#0 ! * , 6 ' ' , 4 *: * *' *' *) ': ': ' ' & * ' ) , 1 4 6 ' ) ) , , 1 1 4 4 "#0 ! ', ', '1 '4 '6 '6 ) )* )1 ,: ,1 ,1 ,6 1 1) 1) 14 14 16 4: * * * * * * * * * * ' ) , * * * * * * * * * 1 4 * ' ** ** ' ' ' # ! ! "# $" " % ! & % 0 " ! & " & "# " % $5 & 3 * % & ! (! $" & # "# $" "+ # " # @# " "# ! ! #A 0 # & 2 0 3 . ! #! "# $" " " # ! & 0& ! , 3 & ; " ! 0 # # <9 , 3 0 & > <9 = ,* " # B# <9* = "& " " "& & & "! ! " $" ! ! "# $" "# $" "+ # " # " "# ! ! #A 0 # & 2 0 . ! #! "# $" " " # ! ! " "# ! ! # * "& "& "& % = " %! & @# 3 ! & 0& ! "# $" " %! & + ! "! <C "! = & + ! ! # D ; <C! & + ! & " & $" <C& % " & % 46 46 6 6' 61 61 64 : :' :) :4 :4 :4 :4 : ' & # D " "# ! ! 3 % = & $"= ; ! ) , 4 6 6 %E" & # & " & #0 # #! # & "! # 0 & & $" ! "#0 & 0& ! ! # 3 " F $" ! # & "! ! "#0 ! 3# "& " < " < " < & $" 3 " F $" " 8= ! "! "! & 3 & $" # " F $" " I= %E" "E " 0/# & 0/# & ! 0 # #! # & "! " & $" ! ; ! #= " & 0& ! ! < @#= & " < ! #G H H H H H H H H ! @#= 1 2 1 2 D1 2 1 1 2 1 2 D2 2 1 1 2 1 2 D3 2 1 * * Z #0 # #! # & "! # & " & " " # ! "# "#$%&'(")'$*+ ,"+&." # &/ ! # ! # ! ! # # /" " ! # # D 3 D1 2 1 D2 2 1 Dq 2 1 "& D "& ! "# " "# " & "! & / " # # % "# $" ! ! ! A D & 2 /" ! # " ! /# 3 # + /# 3 # + " A "& ! 300V * 0V * -300V 0s 25ms V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) Time V(I1:+,I1:-) -% " ! & "! && $" & " " "! & "! & ; D ! #2 D A < # = 2 ! ! ! & "! & ! D = − <: 3 # > = − <: 3 # > # ! # " " /"% "# " #A # JKD ! # ! ! # # /" " 3 ! & "! & L " & % iL = ! ! ! & -% JKD & "! & "! & " 3 ! & "! & "! ! A & " + <3 7 3 " #$ 3 ! & & & "! & /& "! A = V1 − E V0 • senwt − E = R R # # " ! # D " " " ! && " A % & /# 3 # + ! # "# " # " #3 & "! && $" ! #& " " < = ! ! ! & "! & ! " " > " # " ! A " /"% # "0 300V * 0V * -300V 0s 25ms V(U1:P11,U1:P12) V(U1:P21,U1:P22) V(U1:P31,U1:P32) Time V(E:+,R:1) V(E:+,E:-) "#$%&'(")'$*+ #/0'&." # /" ! # ! # ! ! # # /" " ! # # 3 "& D1 1 2 D2 1 2 Dq D 1 2 D " & ! "# " & ! "# " & "! & / " # ! ! A # % "# $" ! " D ! & 2 &/ ! # /# " % + * /# " % + " A " 300V * 0V * -300V 0s 25ms V(U1:S12,U1:S11) -% V(U1:S22,U1:S21) " ! & "! && $" & " " V(U1:S32,U1:S31) Time < = V(I1:-,I1:+) ! ! ! & "! & ! " " /"% JKD '1 ")$/("(/ 1 '&/#+2# /#&)/0'(''1 '3')0' 300V * /F . " 0V * -300V 0s 25ms V(U1:S11,U1:S12) # # " ## JK* 0 "# $" + V(U1:S31,U1:S32) Time V(I1:+,I1:-) "# " # ! " ! # /" ! #0 # ! # " # ! * 0 # # # "# " # # /" ! #0 # ! # %" π V(U1:S21,U1:S22) − 3 & 0& ! π ! < < ! π JKDA & ! ! ! & "! & ! " " # JK*A & ! ! ! & "! & D0 # # # /& "# + π & "! & ! 3 D0 % 2# # " & "# $" # ' #! # " ! 3 %" π 3 ! V L = V0 ⋅ cos wt JKD " ! " = π ⋅ π : −π = ⋅& # π ⋅ : π ⋅ & & $" + ! #$ 3 + ! '3&")(/ )4'(" & ! ! ! ! 0" & "# $" − = D " %! : = ⋅ ⋅ − π & ⋅& # : ⋅ : % # ! 3 ! 0 & (! 2 # 3 ! π π ⋅ " 0 & 3# + ? !# " 2 & 0& ! # 0/# & #A 3 ! "! # 0 & " % + "#0 ! 0 & " " " 0 & ! (! ; 7 5 F 0/# & #A ! ! & 0/# & # ! ( & $" ! # & "! 2 "& & "# & $" !# # # " 2 3 /" & "& . " 3 " ! )$2#3"+ & "# ! 3 # " # # # - %" " " # "& # "# " D # M # + /F A 0 "& $" # 3 2 "! 3 == < + =∞ ⋅& #< ⋅ ⋅ = = ≡ 3 !! $" & ! "! $" & ⋅ ≡ "N ! D ≡ "N ! 0 # # ? ≡ "E " < A A *A LA O= ?D " " && ! 3 "# $" ! $" & D 0/# & # ?P A = " # !! D : : + = ;# π 3 π ⋅ /F ⋅ ⋅ !A 3 − = " "! & 0& ! & " & % $" & ⋅& # # ⋅& #< ⋅ ! & ! & ⋅ $" & 3 # " D && # "! / " 0 & "& A = = ! # % "! ⋅ π ⋅< /#A ⋅ = $" & : ⋅ − = π ⋅ # " ! # D +& # ! : # π A# # ⋅ <− = ⋅ ⋅ − 0 & "& ! $" & A ) 3 ! ! -# !# AL π ⋅ <− = ⋅ ⋅ # F ! ! " 2 2 "! " ?D 3 3 $" & # /# 3 $F !2 /# 3 ; / & 3 # & 3" " ! # ! " & $" 3 # $" & ! 2 /#+2# #./)+'/# 1 "+ ("("+ "# $" "+ # D ! ;" # 3 # ! ! # & "! " & "! & " # " 3 / 3 ! "# " # # & "! & # ! D & "! 2 /F # ! ! # ! ; /& " & + # "# "! &/& /F " ! ≈ A) " ! ! & "! & ! 3 D # 3 ! 5& 3 # - ! # " .& A % /0 & 2 + & 5&"("'#'1 6 &3" 1 2 1 2 D1 2 1 1 2 1 2 D2 2 1 1 2 1 2 D3 2 1 * * Z /F "# $" "+ # D A& #3 "! = D #3 A D # /# 0 # D #3 D # 7 ! /# 7 ! *ALA DA /F − ⋅ + = +* $ A F# "! # /F = : ⋅ − : ⋅ < − π= = ⋅ : ⋅ : − ⋅ + # 5 F 0/# & = 3 < 7 = A + # < 7 ## = = # # & #+ " ! # #!0 "& # /F − 0 # 3 A # 3 + : + ⋅& # # = 0/# & = : ⋅ − : −π + ⋅ π , π = ⋅ : ⋅& # π ⋅ + π 2 # + " & # D # π ≡0 & 3 A ! & "# #! ! ## 3 + & $"A 3 # " " /F ! & /F "0 D # 3 "& /F # " "! D # 3 5&"("0)*7 3" = − 3 ! ;# + & " " & $" D # D # 3 52 ! # 400V 0V * * -400V V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(I1:+,I1:-) 200V 0V = ⋅ : ⋅& # π SEL>> -400V 0s 25ms V(D1:A,D1:K) Time 5&"("./3&")'1 = D # − 3 α ≡3 # Q ! /"% α =π /F * β =π 1 /"% & " "#& β D = : = ⋅ ⋅& # : " " ; & π ⋅& # π & & "0 # "& & # ! #&/#+('(/+ 87 '3&")(/ ,"&/#3'(/1+/3%#(')"(/1&)'#+7 ")$'(") ! ') 0'7 %/#&/ (/ 3"))/#&/ 3"#+&'#&/ 1 2 1 2 D1 2 1 1 2 1 2 D2 2 1 1 2 1 2 D3 2 1 * * I0 -% " ! & "! && $" # 3 #& " " < = 300V * 0V * -300V 0s 25ms V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) Time V(I1:+,I1:-) 60A 0A I(I1) 60A P SEL>> 0A 0s 25ms I(D1) 4 Time & D + " & "! & "! & V1 D1 2 1 I0 " = ! " & % : ! 2 " 7 # /F = = = 0 "#0 "# " ! & 3 3# ! ! " JKD : "#0 ! & & " 2 # & 2 # & "! ! ( & $" ! ! & $"A 5 & D ( & $" ! # & "! ! #3 "% ! D 0 # # # & "! # &= "& = 3 ⋅ = ⋅ 300V ! ⋅ = ⋅ ! π # & "! θ ⋅ θ ! & 2 # & "! "#0 ! ⋅ & + ! & # & "& 1 " = "& " + : " # " ! ! ! # ;7 " & "# " A & ! ! ! 3 ! ! # " " < ! =⋅ "#0 < ! = & "# " 140A P 0V 0A R >> -300V R -140A 0s 1 20ms V(U1:S11,U1:S12) 2 I(D1) Time 6 ! "& 3 = " ! # & "! ! "#0 ! : = = π "& = ⋅ ⋅ : = ⋅ : ⋅ : π ⋅ ! : ⋅ : π ⋅ # & "! π < # & "! ! "#0 = π /F ! ⋅ : ⋅ = # &S A + ⋅ ( & $" ! # &= 0 : π −π : : # & "! π +π ! = : : & + ! π & ⋅ π ⋅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s 25ms V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) Time V(I1:+,I1:-) 50A 0A -I(R) 50A P SEL>> 0A 0s 25ms I(D1) Time & D + " & "! & "! & V1 D1 2 1 R & " = " = π = " ! & " #20 # & & % ⋅& # : −π ! π " π ⋅ 2 /F π ⋅ &/& % ! + = & 3 ⋅& # : " = π %" : −π ! & ⋅& # " 3 ! ! ! "#0 # = : # & "! ! "& "#0 3 = " ! ! # & "! ! : = = π "& = & ⋅ π : −π & + ! π ⋅ ! # &= π −π : ⋅& # # & "! ⋅& # ( & $" ! ⋅ ! : ⋅& # # & "! "#0 ! ⋅ ⋅ ! ') 0' 1 2 1 2 D1 2 1 1 2 1 2 D2 2 1 1 2 1 2 D3 2 1 * E R & D + " & "! & "! & V1 D1 2 − = = : " = ⋅ ! 5; & : 1 E R " * % ⋅ − − >: ! ## "! & $" 3 D & "! (& & " # < : ⋅& # > : ⋅& # π π < -% " ! & "! && $" & " " < -% " ! & "! && $" ! #& " " * = = & $" < -% " ! & "! && $" & " " = 300V * 0V V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(E:+,R:1) V(E:+,E:-) 40A * 0A I(E) 40A P SEL>> 0A 0s 25ms I(D1) : Time : ! # . & $" # θ = < -% π , T θ = )π , & # ! DP* " ! & "! && $" ! #& " " = 300V * 0V V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(E:+,R:1) V(E:+,E:-) 15A * 0A I(E) 15A P SEL>> 0A 0s 25ms : I(D1) ! : # . # θ = Time T ! θ = π −θ : ' " = ! π " θ ⋅ : & % ⋅ − θ * + = ! π = " θ ⋅ : 2 /F ! ⋅ : & " − = θ 3 ! ! ! "#0 # * − # & "! ! "& "#0 3 = " ! ! # & "! ! : = = π "& = & ⋅ θ : & + ! π ⋅ ! θ ⋅ − θ : # & "! ⋅ θ ( & $" ! − ! ⋅ : "#0 ! ⋅ # & "! # &= ) ⋅ ⋅ ! ') 0' 1 2 1 2 D1 2 1 1 2 1 2 D2 2 1 2 D3 2 1 * 1 2 1 R -% " ! & "! && $" # 3 #& " " < 1 L * 2 = 300V * 0V * -300V 20ms V(U1:S11,U1:S12) 25ms V(U1:S21,U1:S22) 45ms V(U1:S31,U1:S32) Time V(L:2,R:1) 40A SEL>> 0A -I(L) 40A P 0A 20ms I(D1) 25ms : 45ms : Time , & D + " & "! & "! & V1 D1 2 R " : " ⋅ & = ⋅ ! + <# 0 L 1 2 % & $" & ! 0 /& 1 ⋅ < & "& = & $" ! 0 − ⋅ & $" " -% "& −θ = < "3 " ! 3 <θ = + π , % ! = = " " = V1 V 0 R = = " " = = + : /& : = < −θ = ! " − & + : " " : " ⋅ − ϕ) = − ϕ) = : − : : " ⋅ (θ ⋅ ( − ϕ) % − ϕ) ⋅ − < −θ = =θ 3 : ( ⋅ =θ (θ ⋅ : ! : % (θ ⋅ : − − ϕ) 3 " " = & − ⋅ /& : " (θ ⋅π ⋅ ⋅ " = +# ϕ = # 2 ( ⋅ : " X L 1 7W # = − ϕ) ⋅ + = − <θ −θ = + : " <θ = : : " − ϕ) ⋅ (θ )π = , − ϕ) 1 !& < = ): $% ≡ 0 " =" ϕ != " = ! π " θ ⋅ < θ & % = * + = ! π /F < = θ ⋅ θ =: " 2 ! & = = ! "& "#0 3 = " 3 ! ! ! "#0 # * R* # & "! " <θ* = ! ! # & "! ! : = = π "& = & ⋅ θ < θ & + ! π ⋅ ! θ θ < = # & "! =⋅ : ( & $" ! ! "#0 ! ⋅ # & "! # &= 4 ⋅ ⋅ !! ') 0' 1 2 1 2 D1 2 1 1 2 1 2 D2 2 1 2 D3 2 1 * 1 2 1 R & D + " & R : " ⋅ & = ⋅ & $" & ! 0 /& ! 0 <# E 2 "! & "! & V1 " L 1 * D1 2 E L 1 1 2 % + ⋅ + < & = "& & $" " -% & $" ! 0 − ⋅ < −θ = "3 "& " ! 3 % ! = + " " = V1 V1 0 ≡ R 1 G E L R 2 1 L R 2 & # + "! 3 = # 3 3 # & $" E L 1 2 & + & V 7W # = ⋅π ⋅ ⋅ " = +# < = ): $% = = X " =" ϕ = !& # 6 ϕ " = : " ⋅ ( − ϕ) & ⋅π ⋅ ⋅ # = =: = : $% 3 D =− = : " " = ⋅ /& ( ⋅ − − ϕ) − " & < −θ = ! % + : " : ⋅& # − ϕ) − =θ 3 < ( ⋅ ! π & =θ = : 300V * 0V V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(E:+,R:1) V(E:+,E:-) 30A * 0A I(E) 30A P SEL>> 0A 20ms I(D1) 25ms 45ms Time : > : : ⋅& # π # 3 # & $" ! 3 "! ! = 3 # & $" =: : < = =θ $ 3 $F 3 # & $" D # + : ! : ⋅& # π 2! & #X! < = & % = 3 # & $" < : = 300V * SEL>> 0V V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(E:+,R:1) V(E:+,E:-) 10A * 0A I(E) 10A P 0A 20ms I(D1) /& : = + : /& : = " − & " : " 3 ; & $" ! < > − ϕ) + : : ⋅ − < : −θ = =θ (θ ⋅ = − π <θ = : : " , ⋅ (θ ⋅ ( = − ϕ) + % 3 : Time = − ϕ) − (θ ⋅ : ! : (θ ⋅ : − =θ 3 " 45ms : ! " = 25ms : ⋅& # ⋅& # − ϕ) + = ⋅ <θ −θ = − + : " <θ = : + : " − ϕ) − )π = , (θ ⋅ − ϕ) − # 3 # & $" π : >: < = : >: 3 # & $" & : <: 3 # & $" "& & < = π 5& 3 ; & < # A #" = 5& 3 ; 300V * 0V V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(E:+,R:1) V(E:+,E:-) 10A * SEL>> 0A I(E) 10A P 0A 20ms I(D1) : ; : ; 25ms 45ms Time " : " ⋅ = & ⋅ % + & $" & ! 0 ⋅ + < & = "& ⋅ & $" ! 0 − −θ Y= < "& " θ Y= + ! 3 % ! = ! : /& ! 0 " = ⋅ /& := " − < ! + : " & : " " -% 3 & −θ Y= ⋅ " " = % D " & # " % + : " ( ⋅ − ϕ) − =θ Y 3 " = − <# ⋅ (θ Y−ϕ ) − " & θ1´= arcsen = : A # "! =− (θ Y−ϕ ) + ⋅ : " E V0 % (θ Y−ϕ ) + ! R @ </"% ⋅ − ! "! # < −θ Y= " + : " = ⋅ ( − ϕ) − =θ Y =: A3 # # # & & := − : " (θ Y−ϕ ) + ⋅ " ! " & <θ Y −θ Y= − ⋅ + : " (θ ⋅ Y−ϕ ) − R @ % = θ ⋅ π θ < = < = * = θ Y ⋅ π θ Y * + ! 2 /F ! = π = π & " θ ⋅ θ = = < = = θ Y =: " # & "! ! "& = "#0 3 " ! ! < θ Y ⋅ 3 # * * R* = ! ! # & "! ! "#0 ! : = ⋅ π θ θ < = < = = 0 = "& & + ! = = & <θ* = ! π π π ⋅ # & "! ⋅ ⋅ θ θ θ Y θ Y ( & $" ! θ Y θ Y ! < =⋅ : ⋅ < =⋅ : ⋅ "#0 ! # & "! # &= * ⋅ ⋅ < " '3&")(/ ,"&/#3'(/1,)$')"(/1&)'#+7 ")$'(") 3 ! " ;7 & # #D ! & < "#0 " % ! #& ( ! 0 #0 " ! & " # # " ;! # & # & " & "# " && " #A 3 " # 3 " # " ! #A # & "# ! # / " ! # # "#&'= / D1 2 P 1 P2 I0 Ls 1 Lp Ls 2 @ D2 2 1 @P 0 # & 3 " " # 3 D & "& "+ " " " "#0 ! ⋅ = @ ⋅ − 3 # ⋅ ⋅ 3 = " = ! ⋅ 3 D & 1 π ⋅ π 0 ! "#0 ' ! ⋅ = : ! "#0 ! N2 ⋅ i S ⋅ V P 0 ⋅ senwt dwt N1 ( & $" ! " ## " ! ! 0 : 3 3 & ! "! " "! 0 ⋅ & + ! ! # : = P1 = 3 ! " #2" & & = "& & & 0 # % Y " "# " ! #!0 = "& # & " # ! D 3 = ' ⋅ ⋅ # /" # & "! & ! " K 0 3 ! " # ! 7 3 D 0 # & 3 D " & ! ; ;" ! # & "! # & & & " ! 400V 0V -400V V(TX1:1,TX1:3) 400V @ 0V -400V V(TX1:4,TX1:5) V(TX1:6,TX1:5) 40A 0A SEL>> -40A 0s 20ms I(I1) Time 40A P 0A -40A I(D1) 40A @P 0A -40A I(D2) 40A 0A SEL>> -40A 0s 20ms 0.5*(I(D1)-I(D2)) Time ) < "#&'= / >> & 0& ! ! & " & " & ! " # & # A " # 7 3 & $" 3 3 ! # & " & ! #" & " "#0 ! " # 0/# & " 3 ! " W W 1 8 1 2 1 2 D1 2 1 2 1 2 D2 2 1 2 D3 2 1 D1 2 1 8 V V * 1 # & "! & " F $" D 2 1 ! "#0 ! & "+ "% " & ! * I0 3 "% #D & "! & W 1 2 1 2 8 1 2 1 2 V 1 2 1 2 : I0 Z 2 ! [ &5 00 & & & " "+ " " #! # & # + "! ## = ( = ( + =: " ⋅ < & & " # * " ⋅ ( "! ! # =− − ⋅ # + ⋅ ( =: < & ⋅ : − ⋅ # + ⋅ " =: < & *= # & & " # A : : * ! # " ! 07 ! 2 # "& 0 " % + : ! 3 "#0 & "& \ := # ⋅ 3 " ⋅ = ⋅φ ≈ : < " " = "! # & " 3# +T " & # & " 0 # + ) = %"- & 3 " & # ⋅ , " = 2*# ; " 3" ! 0 &5 ! 300V W 8 V 0V -300V V(U1:P11,U1:P12) V(U1:P21,U1:P22) V(U1:P31,U1:P32) V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) Time 300V * 0V SEL>> -300V 0s 25ms V(I1:+,I1:-) * 60A 0A -60A I(I1) 60A P0A SEL>> -60A 0s 60A W 25ms I(D1) Time 0A -60A -I(Vx) " 3 ! "#0 "& 3 = # " ! ! 3 ! "#0 ! #: = *⋅ = # π "& ⋅ π #< : & + ! = ⋅ & ! # = * π ⋅ = 3 π : ( & $" ! # ! #< =⋅ "#0 #: ! ⋅ 3 ' 1 = ⋅ # < "#&'= / & 0& ! "#0 ! <>> ! & " & $" 3 & " & ! # " # #" & " D4 W W 1 8 1 V 1 5 F 0/# & 2 1 2 1 2 1 1 2 1 2 2 1 # & "! 2 1 2 D1 2 1 2 1 2 D2 2 1 2 1 2 D3 2 1 D1 2 1 ) D6 V 3 ' 2 D5 8 & " , * I0 & "! & W 1 2 1 2 1 2 8 1 2 1 2 1 2 1 2 1 2 1 2 V : I0 Z 2 ! [ &5 00 & & & " "+ " " #! # & # + "! ## = ( = ( + =: " ⋅ < & & " # * " ⋅ ( "! ! # =− − ⋅ # + ⋅ ( =: < & ⋅ : − ⋅ # + ⋅ " =: < & *= # & & " # A : : * ! # " ! 07 ! 2 # "& 0 " % + : ! 3 "#0 & "& \ := # ⋅ 3 " ⋅ = ⋅φ ≈ : < " " = "! # & " 3# +T " & # & " 0 # + ) = %"- & 3 " & # ⋅ 4 " = 2*# ; " 3" ! 0 &5 ! ! 400V W 8 V 0V -400V V(TX1:1,TX1:3) V(TX2:1,TX2:3) V(TX3:1,TX3:3) 300V * ' 0V ) , SEL>> -300V 0s V(TX1:4,TX1:5) , V(TX2:4,TX2:5) ' V(TX3:4,TX3:5) V(TX1:6,TX1:5) Time 60A V(TX2:6,TX2:5) * ) 25ms V(I0:+,I0:-) V(TX3:6,TX3:5) 0A -60A I(I0) 60A 0A -60A I(D1) 60A ' 0A SEL>> -60A 0s 20A 25ms I(D4) Time W 0A -20A (I(D1)+0.5*I(D6)-0.5*I(D2)-I(D4)-0.5*I(D3)+0.5*I(D5))/3 20A 0 #& # & " " #3 # 2 3 ! "& = # 3 3 D # 0 3 # "& # # " ! # & ! ! ! # & "! & JK, "#0 ! 3 " ! 3 ! "#0 ! #: = *⋅ = # "& π ⋅ π : = & + ! * ⋅ # = ⋅ & ! π #< = 3 π : ( & $" ! # ! #< =⋅ "#0 #: ! ⋅ 3 ' 6 = ⋅ # #3 " 7 "& ; A < "#&'= / ?> & 0& ! ! & " & " & ! " /"% 2 & $" 3 # & "! W W 8 8 V V @ @ @ ! #" & " "#0 0/# & & " 3 & " & ! " # ! W 1 2 1 2 D1 2 1 2 1 2 D2 2 1 2 D3 2 1 * 1 : 8 1 * V 1 ! * 2 1 "#0 ! * I0 W@A WA 8@ ≡ V@ 8 V " # " ≡ # ; ;" ! # 3 " # "2 & ! # " #! "#0 ! ! & "! & W W 8 8 V V @ @ @ 1 2 1 2 1 2 1 2 1 2 1 2 D1 2 I0 " & "#0 ! " #! 3 " & 3 "# & $" ! 2 # & "! " " 3 = " 3 #Y= " # & "! = = "#0 # + 0 ! A& # 3 ! "#0 ! ⋅ " ! # Y− ( Y *: A& ( "! & "! & : "2 & ! # ! 3 # "! & "! & "+ ! & " 2 # 300V W 8 V 0V -300V V(U1:P11,U1:P12) V(U1:P21,U1:P22) V(U1:P31,U1:P32) 300V * 0V * SEL>> -300V 0s 25ms V(U1:S11,U1:S12) V(U1:S21,U1:S22) 50A V(U1:S31,U1:S32) Time V(I1:+,I1:-) 0A -50A I(I0) 50A P 0A -50A I(D1) 50A P 0A -50A I(D2) 50A W@ 0A -50A 0.5*I(D1) 50A 8@ 0A -50A 0.5*I(D2) 50A W SEL>> -50A 18.33ms 0.5*I(D1)-0.5*I(D2) #& " #3 3 "& 3 = # 43.33ms 2 " ! # & "! 3 " " ! "#0 # ! #: = *⋅ #Y 0 = π "& ⋅ π # Y< : & + ! = ⋅ & ! # = * π ⋅ = 3 π : ( & $" ! # ! # Y< =⋅ "#0 #: ! ⋅ 3 ' * = ⋅ #Y 0 3 P0 # & <! "#&'= / <?> & 0& ! ! & " & " & ! " /"% 2 W W 8 8 V V @ @ @ & $" 3 # & "! ! #" & " "#0 5 F 0/# & & " 3 ! & " & ! " # D4 W 1 2 1 2 1 2 1 ' 2 1 2 1 2 1 D5 8 1 "#0 2 1 2 D1 2 1 2 1 2 D2 2 1 2 1 2 D3 2 1 D1 2 1 ) D6 V 1 ! , * ! I0 W@A WA 8@ ≡ V@ 8 V " # " ≡ # ; ;" ! # 3 " # "2 & ! # " #! "#0 ! ! & "! & W W 8 8 V V @ @ @ 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 : I0 " & "#0 ! " #! 3 " & 3 "# & $" ! 2 # & "! " " 3 = " 3 #Y= " # & "! = = "#0 # + 0 ! A& # 3 ! "#0 ! ⋅ " ! # Y− ( Y * A& ( "! & "! & : "2 & ! # ! 3 # "! & "! & "+ ! & " 2 # 400V W 8 V 0V -400V V(TX1:1,TX1:3) V(TX2:1,TX2:3) V(TX3:1,TX3:3) 300V * ' ) 0V , SEL>> -300V 0s V(TX1:4,TX1:5) , V(TX2:4,TX2:5) V(TX3:4,TX3:5) ' V(TX1:6,TX1:5) Time V(TX2:6,TX2:5) * V(TX3:6,TX3:5) ) 25ms V(I0:+,I0:-) 50A 0A -50A I(I0) 50A 0A -50A I(D1) ' 50A 0A -50A I(D4) 50A 0A -50A I(D2) 50A ) 0A SEL>> -50A 0s W@ 40A 25ms I(D5) Time 0A -40A 0.5*I(D1)-0.5*I(D4) 40A 8@ 0A -40A 0.5*I(D2)-0.5*I(D5) 40A W 0A -40A 0.5*I(D1)-0.5*I(D4)-(0.5*I(D2)-0.5*I(D5)) " 3 ! "#0 ! ** "& 3 = # " ! 3 ! "#0 ! #: = *⋅ = #Y π "& = ⋅ & ! # = * π ⋅ 3 π : ⋅ # #Y = ! =⋅ # Y< ( & $" ! "#0 #: ! ⋅ 3 = "&/#3'(/ ($/#+"#'$/#&"(/1&)'#+7 ")$'(") "#0 ! ; ;" ! # 3 ! /# # # & "& # Y< : & + ! ' @ ⋅ π D ! ! " # 2 # & "! " # " "0 "# " " " & 0& ! !0 ! D " " # # " & ! # 3 & " # " # " ! #!# " # " ; # ; ;" ! # ! "#0 !! # 2 " 2 D # % " # & # #A ! + = A ⋅ "& "& 3 3 " " ! ! 3 # & "! ! ! "#0 "#0 "#0 ! ! " & 0& ! # # ; ! 3 # " & " D 3 - & & 2 # & & " & $" < 3 & # ! & " & $" ! ## ! ! "# " " " & & # D # & "! & #" :]A 3 # $" & # D 3 ! & " " # 3 & # # ! # "# " /" = '6 ('+ (/ &/#+2# #&/)#'+ (/1)/3&7 3'(") D + ( # ! ! & 0& ! ;! " & $" 2 # "# ! 3 ! "& ! # ; ;" ! # ! & . ! ! "# $" " ! ! #A # & % < @= ! # " 2 " 3 " "! " +# ! ! ! & 0& ! 0/# & ! & " & %A # ! 0% & $" 3 *' "#0 ! A 3 ! & " &! ! ! D 3 ! "& ! 5& " D "! A # & & ! ! "# $" D + " ; = " = ⋅ π : π ⋅ 9 Z @ ∆ " & 0& ! & ! "# $" " ! & 0& ! %! & Y= −" ⋅ ≡ "# $" ! ∆V L # # #& . ! #! − " " ∆ ! ! & 0& ! ⋅ %! & & 0& ! A # "! % <# " & "# ! ∆ =∆ &! +∆ = + ∆* "# $" # " ? ≡ &! 3 & ; " ; ;" ! # ! "#0 ! ? ≡ &! 3 0 & > 2 " & $" 2 # ; ;" ! # 3 ? ≡&! ! &! # & & & ! A #! & A#" " " ! 0 # # 2 & ; "#0 # ! ;! # ! ;! # # "& # 2 # & "! #! "! && $" D $5 & "#0 D ! 3 # " " 3 # " " # ! ! #! ! # / "! 3 "! " " "& " # 0 "$ & "# ! "! " & ! & # D # " # %" ! # 3 # #&! ,"))/3%A)$/#&"(/ 7 '+/+ B? &! 3 ; ;" ! # ! . # & ! # % = &! & " ! ! 0 # # <9 = 3 ! & # C # ! ;! *) # "! && $" D 3 # " " # V1 V2 2 2 L1 L2 Z 2 1 2 1 1 D2 1 D1 : 300V ? 0V V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(I1:+,I1:-) 100A JK JKD JKD SEL>> 0A 0s 16.7ms I(D1) I(D2) Time δ δ ≡ ^"% ! & ; "! " ! ! 3 "! " & "! & "! 3 # " & & " ! 0 # # " & # & "! && $" & " 3 δ " 3# ! " # ! ; D A 3# ! " # ! A " 3 ! 5; + & " & $"A 3 # ! & "! & & "! & " 2 # /" "# $" " % ! & % # & & & " " & $" # & % 0 " " ! & " = # ! # ; ;" ! # !-" & # ≡ " "! && $" ! "#0 ! & " & $" <# & "# ! - 3# ! + # & & #% " F% " & " # ; #& # ! & & & "# ! 3 < ! D " 3 # : "! 3 & & " # "# " /" < # /" " & & & " #! & " A# " & # 0 # #= & $" " & & A! # 0 " D " + A : ! ! D # ; # "! & + " %" "+ & & 3 δ! " " &! 9 !# " D 3 #& = # & "! /# ! 3 #$ # 3 ! & 9 = *, ! &! # & "! = + 3 & "! # #! # + & # 3 "! " # ! "! & : < & = = 2 # ! [ &5 00 # + "! = =: # " % ⋅ G &* = − ⋅ < & = − ⋅ < & *= =− # 2 ! # %" # 3 # = + − ⋅ # + = + : "# $" " %! & ! % " & " & $" # = + D#0%1 "(/ )/3%A)$/#&"(/ 7 '+/+ BδC # "! − _ &* = ⋅ − ⋅ − =− ⋅ ⋅ = − ⋅ − ⋅ = = & : = ⋅ ⋅ : ⋅ − π − ` = : ⋅ − π −π * = = − =− ⋅ : : & & ⋅ π π ⋅& # ⋅ <& "# " − − π π ! : ⋅ − π ⋅& # − π ⋅ + " % & $"= = 3 *1 π + π =: :=− : ! " π ⋅ & " "! 0 " = : π + π − π + = & $" # ( ⋅ : π ⋅ & " ⋅ π π + +δ − π ⋅ : π = & $" − = + π ⋅ : ⋅ π − − +δ = π # 3 " # # " ! : π & #δ ⋅ −& #δ = : " : ⋅ ! ! & π & " " /"% %! & <δ= ! & ; % < := " '1 ")$/("(/ 1 '3( & ,"))/3%A)$/#&"(/ 7 '+/+ B? "# " /" ! = π = : ⋅ = : ⋅ # ⋅ + +δ + − π π + − 3 ! 0$ /" " <δ= − ! & ; " ! 0 # # C + ⋅ ∆ &! "#0 # = /"% ! 9 π π ∆ ∆ ! 9 ! 0 # # <δ= " π ⋅ ⋅ ⋅ : π & ; <D= 2 " = " ! 0 # # <9 "! & "& ! # +/ ! 3 #$ ! # # & " " ! " & "! & ! 0 = # 3 3 & " "#0 ! < = & 0& ! & "! & # %! # # #" & " & % < := " /" /# ! ! # ! ! # -3"#(%3/# +$%1 &*#/'$/#&/ E("("+ *4 :A "N ! 2 & " /"% ! 0 # # ! # & "! ! #A & "! & ; ! & "! & " " ! 0 # # + + + = : < & = = = − ⋅ < & = − ⋅ < & *= = − ⋅ < & ?= L + "! + & "! & + + =: ⋅ G & * GL G & ? = + + + − ⋅ + + + : "# $" " %! + = # " & 0& ! #$ # & + + " & " % & &! $ ; "! & "! & " ? ! ! # # 3 & ; " ! ! # & "! & " # ! 0 # # <9 /" = & & . # & ! # Y= −∆ ! ! " $* * *$' ? L " " " %! " "! # %! V " ! ! ! ! # & "! & "! = & % " "! #$ " & = < : = # /0 !# & & ( & $" & 0& ! ? <"N ! & % < % & & & & & "! & " # /" ! # " = # ! ! # # !# " 2 /" " 2 "# $" ! "# $" ! #& " ! 3 D 0 & 0 ! % # & "& #A " # !! D " +# 0 # # :A " " 2 3 "! " ! ## % " # " " *6 & & . # & " & "! && $" 2 & ! # 3 ! ! & 0& ! " "# $" 3 # + A C ,")/7 /3&" "%1 / B? &! 3 0 & > <9 " & $" 2 # ; ;" ! # 3 9 # ! ! & ! = ⋅ + D 2 D ≡ "E A ≡ 2 W@ "# ! "! #&! # ! ;! # 2 # & "! F3 # $" ! ⋅ A = ⋅ D # 3-! ! # 3 + #Y ! 0 # #! # # "& ≡+ W ⋅ # ⋅ ⋅ # & "! = = ! " 9 ⋅ D # 3 ! & " " : "#0 # & "! 2 #" π > 3 # " " ! ! & & 23 A3 & 3 ! & 0 & D # # & "! 0 & (! #$ # # "& $5 & #! "#0 ! " ! A3 " & 2 ! " ! ! 0 2 ! # 0 "$ " # ! %" ! # 3 # π ⋅ Z @ ∆ & 0& ! < = # " & " ! 3 ! & " " ∆ #+ "#0 # # "& D + " & % < =A 3 ! & & & & 0& ! = ⋅ # A ! W@ = = W ⋅ [ ! ! # # F# " # " " # 3-! ! # 3 0 & > ⋅ ⋅ ! 3 "! " ! /# 1 "+ ("("+ B? 9* & % " & ! "! & &! "# " D + " & ⋅ ⋅ #Y + ⋅ 3 ! & " F $" ! ⋅ # A D # & ! ! 3 #D # ] # ; ;" ! # 3 # 2 # & "! #! C #! ! # & "! & / " # " + & 0& ! < 7= % ! ! # " & 0& ! "! & "! & V1 D1 2 1 ∆* Z ': = ! & " & $" 3 ! ! F %#3"#'$/#&"/# 3")&"3)3%&" # & " & $" ! & & & # 3 ! & & "! ! # # ! ! # & "! & " ! 0 # ! #$ 3 # & "& # ! & ! 0 # & D + " ! # & "! 0/# & ! ! "! ! D 0 # # ! "#0 ! ! " & 0& ! ! # & " /" & $" 3 3 " "! D 0 # # V1 V2 V3 + * 2 2 L1 L3 2 1 2 2 1 D3 + & & + + "# $" " ⋅ < & = − ⋅ < & *= = − ⋅ < & D= = + + + − ⋅ + + ! # %! & ! & " D % & & #&! "& ! "## & & : D ; ! A3 =: " =: # 3 + " # & $" ! & & & < = V1 = ⋅ = : ⋅ 2 L1 i1 = 0 V0 V ⋅ senwt ⋅ dwt = 0 ⋅ (1 − cos wt ) Lw L⋅w 2 1 wt D1 1 /& = − =: ⋅ G & * GL G & D 3 # " = = a <a= < & L * "! = 1 1 D2 1 D1 + "! + 2 L2 1 + % D *A & & ! # #0 # #& & " 3 # " & " " ! && " A 3 " ! # ! ;" # 3# +# " A# 3 3 # + 2 ! #0 # ! # " #. JKD ' /& ! = + = + " ! & ⋅ −& # + : ⋅ −& # −& # ⋅ & & + : ⋅ = <a= & 3 # " # " & & ! & −& # π − π − + − + −& # −& # ! +& ⋅ ⋅ = π − a # " π − #! ⋅( − ⋅( − ) ) "## D ; ! A3 =: " : /1 '32# (/ 3")&"3)3%&"BE C #&! & & $" ! & & & <? = 3 D " -# 3 ! & " . # & ! # ! ! " ( & ! ! ! & 0& ! ! & " " & 0& ! ≡ " A& " & $" ! & D & " 3 & & # && $" ! 7 ! #F & & D # 0 & $" 3 & 0& ! ≡ " & 0& ! ; & & 0& ! & & & "! # 3 ! & "% " (! & " = A# ! 0" & * + ? S & 0& ! ! & " & $" # ? b & 0& ! ! & " & $" 3 ' ! & " & " # & $" # & & & %" & & . # & ! # ! ! " # # ! ! " & $" ! & 0& ! ! & $" ! & & & & & & A #! & 3 " <? = 3 D " #&! & 0& ! M 3 & & " & 0& ! ! & " & $" 3 " & # ! & 0& ! # ! & " & $" 3 & ; " ! 0 # # <I = 3 # ! 2 + > <I = 2 &! " # ! ! # <I* = ! 0" D + & "! & " $ "# $" " Y= := %! = π ⋅ : π ⋅ − ⋅ : π & & $" ! & " & & ∆ " = ! A #$ # + & "# ! A 2 # + " ! #3 & %" . # & ! ⋅ ⋅ π ! & & ⋅ & # & &! . # & ! # ! ! ! & 0& ! D ! : % π ⋅ − π ⋅ ⋅ ⋅ ⋅ ⋅ " ⋅ * + & 0& ! * + ! & ⋅ ⋅ = " ⋅ : & & = * + ⋅ ⋅ = ⋅ π ⋅ & " "E #! & " π : ⋅ : : = ⋅ ⋅ : ⋅ π > ! 0 # # & $" # " " " & '* & . # & D # 3 F . # & ! "! & & = # /" & π "% " ! /# & & ! ? " ! ! ## −∆ "& ( "! 3 & "# ! # ! &! 3 3 0 & & 0& ! A # & "! # / & "# ! 3 ! # & 0& ! # ! & " & $" 3 ! & " ! /# 3 # + 2 " & " ! /# " % + # & "! ! & ! & 0& ! # /" & " & ! # " # " %! & = # !0 "& " # "# " # # "# ! # 3 " ! 3# + /# " ! " % + /# & ! ,')'G ,') 1 /3&7 3'(") % < "! A " # " " A # 0 # # ! 1 "# $" & 0& ! ! D2 2 2 D1 PD2 Ls 1 Z Lp 1 1 Ls 2 D4 2 2 D3 " & ! "# " & "! & " ! # ! ! #A " ! ! ! # /# 3 # + = 2 ! ! ! & " ! " % += # & 3 # & $" ! # "# " # # "# & " ! /# 3 # + < D & 2 /" ! /# " % + < D & 2 &/ ! # /# ! #3 & ! = & 0& ! − 400V 0V ' * -400V 0s 20ms V(TX1:4,TX1:5) " "! D %! V(TX1:6,TX1:5) # 3 A " " 3 & % < = ! V(D2:K,TX1:5) ! V(I0:-,TX1:5) Time "# $" ! '' ! < J= V(I0:+,I0:-) 3 & " D 0 % " # ! "# $" 1 2 1 2 1 2 1 2 1 2 1 D3 2 D2 2 2 D1 1 1 ,')'G $,') 1 /3&7 3'(") Z * " & ! "# " & "! & " ! # ! ! #A " ! ! ! # /# 3 # + = 2 ! ! ! & " ! " % += D6 2 D5 2 2 D4 1 1 1 2 & " ! /# 3 # + < D & 2 /" ! /# " % + < D & 2 &/ ! # /# 400V * 0V * ) , ' ) -400V 0s 25ms V(U1:S11,U1:S12) # & 3 # & $" ! = 7 V(U1:S21,U1:S22) & "! & " # V(U1:S31,U1:S32) Time "# " # # "# ! #3 V(R:2,U1:S12) & ! V(R:1,U1:S12) V(R:2,R:1) & 0& ! − : : 2 , = − = − * * ') ⋅ * "! D # 3 A " " 3 ! ! "# $" ! ! < J= 3 & " " %! & % < = " # " & 0& ! & " D 3 3 D /# 7 ! ! 0 & "& ! !D " " & 0& ! & "D3 D 0 % 3 " # ! $" & "# $" # / '1 ")$/("(/ 1 '&/#+2# /#&)/0'(''1 '3')0' ` 400V * /F . " 0V * ) , ' ) -400V 0s 25ms V(U1:S11,U1:S12) + & "# ! 2 " ! # ! # ! & 0& ! ! & " " ! /# 3 # + " ! /# " % + ! = V(U1:S21,U1:S22) ! "# $" " − = V(U1:S31,U1:S32) Time & 0& ! & $" 3 # ! & " ! ; # = π =− %! & ⋅ π % ! = − V(R:2,U1:S12) : & $" 3 : ⋅ : ! ! "! D π ⋅ & 0& ! π V(R:2,R:1) π ⋅ ⋅ V(R:1,U1:S12) ⋅ ! & " π & & $" 3 & $" + ! #$ ! ; 3 '3&")(/ )4'(" & ! !! = "# $" " − ⋅ DP*A # # & "# ! %! " & # %" " % # & " & 3 "+ + ;7 ! 0 & 3 # & $" ', & ! ! " ! 0 & ! (! 2 # ! 0 " (! % /0 & # 3 2 & "! & 2 , :Y = ⋅ * = ⋅ * ⋅& # = : :Y = : ⋅ * : = : = : ⋅ π π ⋅ * ⋅& # : , π ⋅ * )$2#3"+ 0 "& $" # 3 # # 52 - " # "& # ⋅& #< ⋅ ⋅ "! 3 == < + =∞ = = ?F ≡ ⋅ 3 !! ≡ "N ! $" & ! "! F ≡ "N ! 0 % " " ! " 0 # D3 D 3 ? ≡ "E " # ! " # π π ⋅ + /F D3 < = " %! & 3 # & $" % " ! & ! % < = " " 3 ! ! "# $" = ⋅ < A A *A LA O= %" " # " ! 0 : Y⋅ & : "# $" = DP*A # # & "# ! 2 ,A " % & "! & = $" & ⋅& # < ⋅ # ! & ! :Y = T ⋅ ⋅ $" & : = = = ! ⋅ = ⋅ − % /0 & :Y ⋅ /#A ⋅ = ⋅ π ⋅< " ⋅ : ⋅ π ⋅ <− = 3/%" " A# # = 2 "! " ?D ⋅ ⋅ − π D < 3 3 !2 = ⋅ *⋅ = '⋅ ⋅ − 3 ⋅ T :Y = $" & # /# 3 $F : ⋅ <− = ⋅ A π ⋅ <− = ⋅ − = π ! π ⋅ *⋅ = '⋅ ⋅ − π ⋅ π ⋅ *= /# 3 ; / & 3 # & 3" " ! # ! '1 " & $" 3 # $" & ! 2 /#+2# #./)+'/# 1 "+ ("("+ "# $" "+ # D ! ;" # 3 ! "# " ## & "! & #! ! #& "! " & "! & " # "3 / 3 " 1 1 # 1 3 1 2 1 2 1 2 1 2 1 2 1 D3 2 D2 2 2 D1 Z * 1 1 1 2 "# $" "+ # D # 3 # & & # + "! D6 2 D5 2 2 D4 " & = ! − 400V * 0V -400V V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(D2:K,U1:S12) V(I0:-,U1:S12) V(I0:+,I0:-) 400V * ) , ' ) 0V = ⋅ : ⋅& # π SEL>> -400V 0s 25ms V(D1:A,D1:K) Time D "# $" D # 3 " & # ! " & ! ! ! " " & 0& ! ! & " & 0& ! & $" 3 ! & " ! = D #3 & $" 3 "! ! ⋅ : = ⋅ ! ; = D # '4 3 : ⋅& # π # # ! #&/#+('(/+ 87 '3&")(/ ,"&/#3'(/1+/3%#(')"(/1&)'#+7 ")$'(") 1 2 1 2 1 2 1 2 D3 2 D2 2 2 D1 1 1 ') 0'7 %/#&/ (/ 3"))/#&/ 3"#+&'#&/ 1 ! I0 * D5 2 2 D4 1 2 D6 2 1 1 2 1 1 ' 400V * 0V * ) , ' ) -400V 50A 0s 25ms V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(U1:S31,U1:S32) Time V(R:2,U1:S12) V(R:1,U1:S12) V(R:2,R:1) 0A -50A I(I0) 50A 0A -50A I(D1) 50A ' 0A -50A I(D4) 50A 0A SEL>> -50A 0s 25ms I(U1:S12) '6 Time -% " ! & "! && $" # " & 3 # & "! D + " 3 #& " " ! " "#0 = = ! = "# " < & "! & V1 D1 2 − ' 2 , 1 I0 V3 " ! = " 2 ! " " 7 # /F = & "# " ! & = # & "! ! 300V 2 "#0 2 : & "# " A & ! ! ! 3 ! ! # " : 1 = % D6 1 3 ! 0A >> -300V R -140A 0s 1 20ms V(U1:S11,U1:S12) 2 I(U1:S12) Time "& 3 = " ! # & "! ! "#0 ! : = = π ⋅ "& & ! : R π ! 140A 0V = 3# ! θ θ ⋅ : θ & + ! ⋅ ⋅ θ : ⋅ : # & "! ! "#0 ⋅ ( & $" ! # & "! # &= ): ! " JKD + 1 2 1 2 1 2 1 2 1 2 1 D3 2 D2 2 2 D1 1 1 ') 0'29$3',%)' 1 ! R * D6 2 D5 2 2 D4 1 1 1 2 ' 400V * 0V * ) , ' ) -400V 0s 25ms V(U1:S11,U1:S12) V(U1:S21,U1:S22) 50A V(U1:S31,U1:S32) Time V(R:2,U1:S12) V(R:1,U1:S12) V(R:2,R:1) 0A -50A -I(R) 50A 0A -50A I(D1) 50A ' 0A -50A I(D4) 50A 0A SEL>> -50A 0s : I(U1:S12) :H : 25ms Time ) -% " ! & "! && $" # " & 3 # & "! D + " 3 ! " #& " " "#0 = = ! = "# " < & "! & V1 D1 2 − ' 2 , 1 R V3 " " − = * 2 % ⋅ *⋅ : − = & D6 1 :Y = π , : : − * π " = π ! θ ⋅ ! π = " < θ + = " < θ : % * = 2 θ ⋅ & /F ! = = ! "#0 & " 3 ! ! ! "#0 # ⋅ * # & "! "& = = 3 & π ! ! # & "! ! : π ⋅ "& = " = θ < θ & + ! ⋅ ! θ θ < =⋅ ⋅ ⋅ = # & "! : ! "#0 ⋅ ( & $" ! ⋅ * # & "! # &= ) ! = π , 1 1 ') 0' 1 ! 1 2 1 D3 2 D2 2 2 D1 2 R 1 2 1 2 E * 2 1 1 1 2 1 1 D6 2 D5 2 2 D4 ' & D + " " = "# " & "! & V1 2 D1 2 , 1 R E V3 D6 1 2 :Y = " " − = : * & % : − = . " ! − , = ! ## π , − − − >: : "! & $" 3 %! ⋅ *⋅ * π * π "# $" " %" " : ! 5; ⋅ *⋅ − ⋅ * : = ⋅ *⋅ : & + % < π D 2 , & "! (& " . "= = : π ⋅ *⋅ & " # > < -% " ! & "! && $" & " " < < -% " ! & "! && $" ! #& " " )* = = = π , & $" < -% " ! & "! && $" & " " = 400V * 0V * ) , ' ) -400V 0s 12A V(U1:S11,U1:S12) 25ms V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(D1:K,R1:2) Time V(D4:A,R1:2) V(R:2,E:-) V(E:+,E:-) 0A -12A -I(R) 12A 0A -12A I(D1) 12A ' 0A -12A I(D4) 12A 0A SEL>> -12A 0s 25ms I(U1:S12) : ! " :H # . 3 # : θ = # & "! π , T ! Time θ = π T "#0 θ = ! )' )π , = − ' & $" < -% " ! & "! && $" ! #& " " = 400V * 0V ) , , ' * * ' ) -400V 0s V(U1:S11,U1:S12) 25ms V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(D1:K,R1:2) Time 3.0A V(D4:A,R1:2) V(R:2,E:-) V(E:+,E:-) 0A -3.0A -I(R) 3.0A 0A -3.0A I(D1) 3.0A ' 0A -3.0A I(D4) 3.0A 0A SEL>> -3.0A 0s 25ms I(U1:S12) ! :H # . # : : ⋅ *⋅ θ = " 3 # & "! Time θ − π θ = = , ! : )π π − θ − , ! "#0 ! )) = − ' ⋅ * + π , " = π ! θ ⋅ ! π = " < θ + = " < θ : % = 2 θ ⋅ & /F ! = = ! "#0 & " 3 ! ! ! "#0 # ⋅ *− # & "! "& = = 3 & π ! # & "! ! : π ⋅ "& = " ! = θ < θ & + ! ⋅ ! θ θ < # & "! =⋅ ⋅ ⋅ = : ! "#0 ⋅ ( & $" ! # & "! # &= ), ! 1 2 1 D3 2 D2 2 2 D1 1 1 ') 0' 1 ! 2 R 1 2 1 2 2 L * 1 2 1 2 D6 2 D5 2 2 D4 1 1 1 1 ' 400V * 0V * ) , ' ) -400V 20ms 45ms V(U1:S11,U1:S12) V(U1:S21,U1:S22) 20A V(U1:S31,U1:S32) Time V(D3:K,U1:S32) V(L:1,U1:S32) V(R:2,L:1) 0A -20A -I(R) 20A 0A -20A I(D1) 20A ' 0A -20A I(D4) 20A 0A SEL>> -20A 20ms : I(U1:S12) :H : 45ms Time )1 -% " ! & "! && $" # " & 3 # & "! D + " 3 #& " " ! " "#0 V1 D1 2 = = ! = "# " < & "! & − ' 2 , 1 :Y = R − * π L " − : * " = ⋅ & + ⋅ *⋅ 0 π , * ⋅ − ! 1 2 = % π = , & $" & ! 0 /& D6 1 ⋅ * : 2 V3 : ⋅ + = "& <# ⋅ < & − ⋅ & $" " -% < "3 & $" ! 0 −θ = "& < θ# = + " π ! 3 % ! = = " " = V13 V 0 R = * " = " = /& : = − ⋅ : " & < −θ = − π , ⋅ * ⋅ " " = +# ϕ = # !& −ϕ % + : ⋅ * ⋅ " − = θ# : ⋅π ⋅ ⋅ 2 ⋅ * ⋅ " ! + X L 1 7W # = θ# − = π , −ϕ π , −ϕ : = : − : ⋅ * ⋅ " )4 θ# − π , −ϕ < = ): $% ≡ 0 " =" ϕ != " = : /& : = " − − : π = < θ ⋅ θ < =: " & , /F ! ! & "#0 3 <θ −θ = − + : ⋅ * ⋅ " − ⋅ * ⋅ " θ − " " + : 3 ! ! ! "#0 # <θ* = ! ! # & "! π ⋅ = θ < θ & + ! ! ⋅ ! θ θ < =⋅ ⋅ ⋅ = # & "! : ! "#0 ⋅ ( & $" ! π , −ϕ )π = , : "& π ⋅ −θ = <θ = : & = "& = < = = # & "! = −ϕ − % R* = ⋅ = 2 θ π θ# − " ! π −ϕ = ⋅ * ⋅ " θ + , =θ ! ⋅ π θ# − : " = % ⋅ * ⋅ " : ! : & # & "! # &= )6 ! π , −ϕ 1 2 1 D3 2 D2 2 2 D1 1 1 ') 0' 1 !! 2 R 2 1 2 1 1 2 1 L 2 * 1E D6 2 D5 2 2 D4 1 1 1 2 ' & D + " " = "# " V1 D1 2 & "! & 2 , 1 :Y = R 2 : ⋅ * : L − * π = π , 1E V3 " − : * " = & ⋅ + ⋅ *⋅ /& ! 0 <# * 2 % ⋅ − & $" & ! 0 D6 1 + π = , ⋅ + = "& & $" " -% ⋅ + − ⋅ < & < −θ = "3 & $" ! 0 "& " ! 3 % ! = + " " = V13 V13 0 ≡ R 1 L E 2 G R 1 L 2 & ,: R 1 E L 2 & # + "! 3 = # 3 3 # & $" + & V 7W # = ⋅π ⋅ ⋅ " = +# = ): $% = < X " =" ϕ = !& # = ϕ * " = : & ⋅π ⋅ ⋅ # = =: = : $% 3 D =− = : ⋅ * ⋅ " " = ⋅ /& − − " & < −θ = π , −ϕ − % + : ⋅ * ⋅ " − = θ# ! π , ! > −ϕ − & < -% " ! & "! && $" & " " = < -% " ! & "! && $" & " " = < -% " ! & "! && $" ! #& " " < . " ! %" " : " 3 "# $" " = # & "! : %! ⋅ *⋅ ! & + "#0 % < . "= π = = ! , = − : ' ⋅ *⋅ π ⋅ * ⋅ " − π , −ϕ = θ# > = : 400V * 0V * ) -400V 20ms V(U1:S11,U1:S12) , ' ) 45ms V(U1:S21,U1:S22) V(U1:S31,U1:S32) 5.0A V(R:2,U1:S32) Time V(E:-,U1:S32) V(R:2,E:-) V(E:+,E:-) 0A -5.0A -I(R) 5.0A 0A -5.0A I(D1) 5.0A ' 0A -5.0A I(D4) 5.0A 0A SEL>> -5.0A 20ms 45ms I(U1:S12) : :H < # 3 # & $" ! 3 "! ! : Time 3 # & $" = 3 # & $" =: : < = = θ# $ & $" K . " 2! , & #X! & % < = = 3 # & $" < : = 400V * 0V * ) -400V 20ms V(U1:S11,U1:S12) , ' ) 45ms V(U1:S21,U1:S22) V(U1:S31,U1:S32) V(R:2,U1:S32) Time V(E:-,U1:S32) V(R:2,E:-) V(E:+,E:-) 3.0A 0A -3.0A -I(R) 3.0A 0A -3.0A I(D1) 3.0A ' 0A -3.0A I(D4) 3.0A 0A SEL>> -3.0A 20ms : I(U1:S12) /& ! = + : " = : /& : = ! : ⋅ * : " − θ# − ⋅ & Time : : ⋅ * ⋅ " = π , < θ# = : −ϕ − π = = : − : ⋅ * ⋅ " θ# − π , −ϕ + % ⋅ * ⋅ " : 45ms : = θ# " − :H θ# − π , =θ −ϕ + = θ# − π , ⋅ < <θ = : −ϕ + − ⋅ − −θ = + : + : ⋅ * ⋅ " − ⋅ * ⋅ " θ − π , −ϕ − )π = , <θ −θ = ,* π , −ϕ − 3 ; & $" ! # 3 # & $" > : >: < = : >: 3 # & $" & : <: 3 "& & < = < 5& & < # A #" = 5& 3 ; 3 ; 400V * 0V ) -400V 20ms V(U1:S11,U1:S12) , , ' * * ' ) 45ms V(U1:S21,U1:S22) V(U1:S31,U1:S32) 1.0A V(R:2,U1:S32) Time V(E:-,U1:S32) V(R:2,E:-) V(E:+,E:-) 0A -1.0A -I(R) 1.0A 0A -1.0A I(D1) 1.0A ' 0A -1.0A I(D4) 1.0A 0A SEL>> -1.0A 20ms 45ms I(U1:S12) :H; : ; Time ,' " − : " = * ⋅ & + ⋅ *⋅ % ⋅ − & $" & ! 0 + π = , ⋅ + ⋅ = "& + ⋅ − < & −θ Y= < & $" ! 0 θ Y= + "& " ! 3 ! ⋅ * : /& ! 0 " = ⋅ /& := <# " − < " -% 3 & −θ Y= + : " = − & := − : + : ⋅ * ⋅ " " ⋅ * ⋅ " ⋅ * ⋅ " D " & # " π , A3 # # # − π , −ϕ − =: π , −ϕ − =− : ⋅ * ⋅ " θ # Y− π −ϕ + , % θ # Y− ! R @ </"% : ⋅ * ⋅ " θ # Y− & % + % = θ# Y ! " " = % ! = π , −ϕ + ! "! # θ # Y− π , −ϕ + ⋅ − " < −θ Y= = ⋅ − <θ Y−θ Y= + : ⋅ * ⋅ " =θ Y + ,) : ⋅ * ⋅ " − π , −ϕ − =: θ Y− π , −ϕ − R @ & & " ! " & = ! 2 θ ⋅ π = + % = ⋅ π ⋅ π = < = θ# Y ! = < θ Y ⋅ π /F θ# & θ θ# " 3 < = = < = = θ Y θ# Y =: " # & "! ! "& = "#0 3 " ! ! # R* = ! ! # & "! ! "#0 ! : = ⋅ π θ θ# < = < = = 0 = "& & + ! = = & <θ* = ! π π ⋅ ⋅ ⋅ π θ Y θ# Y # & "! θ θ# θ Y θ# Y ( & $" ! ! < =⋅ : ⋅ < =⋅ : ⋅ "#0 # & "! # &= ,, ! ⋅ ⋅ '3&")(/ ,"&/#3'(/1,)$')"(/1&)'#+7 ")$'(") ( "/ # # # & "# ! / & % & 0 " ! & " & "# " "#&'= / 1 < # 1 < D2 2 2 D1 PD2 Ls 1 Z Lp 1 1 Ls 2 D4 2 2 D3 400V 0V -400V V(TX1:1,TX1:3) 400V 0V ' SEL>> -400V 0s * 20ms V(TX1:4,TX1:6)*0.5 Time 40A 0A -40A I(I0) 40A 0A -40A -I(TX1:4) 40A 0A SEL>> -40A 0s 20ms -I(TX1:4)*0.5 Time ,1 " " "#0 ! ⋅ " = 3 # & = ⋅ ! "#0 "& 3 = 3 # 3 D ⋅ " ! & + ! ⋅ π : ! ' : 3 ! "#0 ! ⋅ = : ⋅ ⋅ ⋅ "& & ⋅ : = π = ! 0 ! = = # ⋅ 3 ⋅ : ( & $" ! ! "#0 ! ⋅ 3 = ,4 # % & & 0& ! "#0 ! 0/# & ! & " & $" 3 & " & ! # " # ! ; #" & " A& " 1 ! >> W 1 8 1 1 2 2 1 2 2 D3 8 I0 * V 1 2 1 2 1 1 1 V # & "! 2 2 2 D2 2 D1 W 3 1 "#&'= / 1 < D6 2 D5 2 2 D4 ' " = "# " & "! & 2 ) 1 : 2 D1 1 2 1 2 8 1 2 1 2 V 1 2 1 2 I0 1 W 2 D5 Z 2 ! [ &5 00 & & & 3 " & # "+ " " # + "! #! # & 0 ( + =: " ) = %"- & " + ⋅ < & ⋅φ ≈ : < " " = & " # ( "! ! # "! # & " 3# +T " & # & " ## ⋅ : − ⋅ # + ⋅ : − ⋅ # + 3 " = ! 3 "#0 ! ( ⋅ " # & + ⋅ : =: =: & " # A ,6 \ := # # " ! 07 ! 2 # "& 0 " % + ⋅ & "& < & " = < & *= 2*# ; " 3" ! 0 &5 ! # = ⋅ : ( =− ⋅ : " =: 400V W 8 V 0V -400V V(U1:P11,U1:P12) V(U1:P21,U1:P22) V(U1:P31,U1:P32) 400V * 0V * SEL>> -400V 0s V(U1:S11,U1:S12)*0.5 V(R:2,R:1)*0.5 ) , ' ) 25ms V(U1:S21,U1:S22)*0.5 V(U1:S31,U1:S32)*0.5 V(D1:K,U1:S32)*0.5 V(D4:A,U1:S32)*0.5 Time 50A 0A -50A I(I0) 50A 0A -50A I(D1) 50A ' 0A -50A I(D4) 50A 0A -50A I(U1:S12) 50A W 0A SEL>> -50A 0s : I(U1:S12)*0.5 25ms : Time 1: " "#0 #& " ! & " #3 3 3 ! 3 = 2 "#0 "& # 3 "# & $" ! 3 # & "! #+ ! # "#0 " ! 3 ! "#0 ! #: = θ ⋅ π "& #< θ & + ! = ⋅ & ! ' ! ! = *⋅ # ( # = * π ⋅ = 3 θ θ #< ( & $" ! ! =⋅ #: "#0 ! ⋅ 3 = 1 # ⋅ # "+ ! & " " # " 0 % #0 " & $" 3 2 # & "! ! & " ! ; #" & " ! "#0 ! & "# " 3 # & " & " & ! W 8 8 V V @ 1 @ 1 2 2 1 2 2 1 D3 2 2 2 8 1 I0 * V 1 2 1 @ D2 1 W ! 30 & D1 W 3 " # D6 2 D5 2 D4 1 & & " /"% 1 # 3" D ! " 1 0/# & & " & ! 2 & 0& ! "#0 ! ?> 2 "#&'= / 1 < ' W@A WA " 8@ V@ 8 V ≡ " # " ≡ " # "2 & ! # " = "# " # ; ;" ! # 3 & "! & 2 #! "#0 ! ! ) 1 : 2 D1 W W 8 8 V V @ @ 2 1 2 1 2 1 2 1 2 1 2 I0 1 @ 1 2 D5 " & "#0 ! " #! 3 & 3 "# & $" ! 2 # & "! " " " 3 # & "! " 3 3 " "2 & ! ! ! " 3 # "#0 "#0 # + 0 # ( = ! ! ! #Y= # 1 = − "+ ' ⋅ # Y− ( Y = : ! & " 2 # 400V W 8 V 0V -400V V(U1:P11,U1:P12) V(U1:P21,U1:P22) V(U1:P31,U1:P32) 400V * 0V * SEL>> -400V 0s V(U1:S11,U1:S12)*0.5 V(R:2,R:1)*0.5 ) , ' ) 25ms V(U1:S21,U1:S22)*0.5 V(U1:S31,U1:S32)*0.5 V(D1:K,U1:S32)*0.5 V(D4:A,U1:S32)*0.5 Time 50A 0A -50A I(I0) 50A 0A -50A I(D1) 50A ' 0A -50A I(D4) 50A 0A -50A I(U1:S12) 50A W@ 0A -50A I(U1:S12)*0.5 8@ 50A 0A -50A I(U1:S22)*0.5 50A W SEL>> -50A 0s 25ms I(U1:S12)*0.5- I(U1:S22)*0.5 Time 1* #& " " #3 3 3 ! "#0 "& 3 = # 2 # & "! ! "#0 ! " ! 3 ! "#0 ! #: = *⋅ = #Y π "& θ ⋅ # Y< θ & + ! = ⋅ & ! ' ! # = * π ⋅ = 3 θ θ # Y< ( & $" ! ! =⋅ #: "#0 ! ⋅ 3 = 1' # ⋅ #Y " " # 0 '6 ('+ (/ &/#+2# #&/)#'+ (/1)/3&7 3'(") D + ( # ! ! & & /& ! & . ! ! %" ! # 3 # #&! @ "# $" ! & 0& ! 0 "! 3 "! " A # " ,"))/3%A)$/#&"(/ 7 '+/+ B? &! 3 ; ;" ! # ! & ; "#0 " ! ! 0 # # <9 = " " & " # ! ;! "! && $" D 3 # " " 1 2 1 2 1 2 1 2 2 D2 D3 2 1 2 D1 1 8*#0%1 "(/ )/3%A) $/#&"(/ 7 '+/+ BδC +-GI ? Z * B3( & /# D5 2 2 D4 1 2 D6 2 1 1 2 1 1 ? # 0 "$ C ? B3( & /# C 400V * 0V * J G * δ , ) ) ' 1) " # C 1 @ # & 0& ! ! & " & $" 3 ! ; &! 3 & ; " ! 0 # # <9 = # ∆ = ⋅∆ ! ! "! " JKD # 3 ! & & ! " ! ; D " " & 0& ! ! '1 ")$/("(/ 1 '3( & ,"))/3%A)$/#&"(/ 7 '+/+ B? ∆ = π ⋅ ⋅ ⋅ 2 & " A3 " & $" 3 C : D#0%1 "(/ )/3%A)$/#&"(/ 7 '+/+ BδC ⋅ −& #δ = : ! & ; " "! δ =δ # ! # & & " # " 5 2 /# ! ! # ! ! # ! # D ! & ; " " # # " 3& ; # 3 & D + # & " ! " & "! && $" # ! 0 # # <δ= " & 0& ! ! DA /" ! & " F& 3 & $" 3 ≠ 3 2 # " 8*#0%1 "(/ )/3%A) $/#&"(/ 7 '+/+ BδC +-GI 1 ? ! 0 # # <δ = # /"% 1 /"% ! ! ! & π D2 2 2 D1 PD2 Ls 1 @ Z Lp 2 @ Y 1 D3 ? ⋅ @@ 1 Ls 2 = D4 2 ! ⋅ : 400V @@ :@ 0V -400V V(TX1:4,TX1:5) V(TX1:6,TX1:5) V(I0:+,I0:-) 60A * ' * δ SEL>> 0A 18ms 40ms I(D1) I(D2) 1, D#0%1 "(/ )/3%A)$/#&"(/ 7 '+/+ BδC "& & " & $" " ( & " & $" =: =: # ! & A # & "! " = : =− : = =δ & " "#0 & $"A ! 3# ! #/ "& " & " & $" & & _ :A : 2 & D + " ! V2'' wt 0 ! & ; = π ⋅ + (A ! "#0 ! # 2 2 : ! 0 # # <δ = # 5 " =− : + :Y & " ⋅( − & # δ) & "! & $" ! D −& #δ = '1 ")$/("(/ 1 '3( & ,"))/3%A)$/#&"(/ 7 '+/+ B? = ! ! # V0 ' V ' ⋅ sen wt dwt = − I 0 + 0 ⋅ (1 − cos wt ) Lw Lw =δ ∆ # & ⋅ i2 = − I 0 + /"% # & "! L 1 ⋅ & "! & " L 1 Y= : & & V2' ⋅ =: =+ " ! : δ : ⋅ : Y⋅ ∆ = ' π ⋅ ⋅ 11 ⋅ : ⋅ ⋅ :Y C : =+ : A3 ! ! & δ =δ @ ,")/7 /3&" "%1 / B? &! 3 0 & > <9 " & $" 2 # ; ;" ! # 3 9 # ! ! & ! = ⋅ + D 2 D ≡ "E W@ D ⋅ # # "& ≡+ W "# ! "! #&! ⋅ + #Y ⋅ # ⋅ # & "! 3 ! & ⋅ : "#0 ! " #T # & "! 2 #" π ! ! > ! #& = 3 # " " 23 A3 9 = 0 & D # # & "! # 0& & #! #$ # # "& $5 & #! "#0 ! # 3-! ! # 3 ! 0 # #! ≡ 2 A # ! ;! # 2 # & "! F3 # $" ! ⋅ A = C " " & 2 ! A3 " ! 2 # 0 "$ ! " # %" ! # 3 # π ⋅ Z @ ∆ & 0& ! # # "& D + " < = 3 ! & " 3-! ! ! 3 "& & & ! & 0& ! ∆ # + "#0 = # ! ⋅ A @ 9* & W@ = W ⋅ [ ⋅ ⋅ "# " D + &! " + ! 3 "! " ! /# 1 "+ ("("+ B? & % "& ! = # " # # "& D & 3 0 & > < 7= % & V1 ⋅ #Y & " F " ! + ⋅ ! ⋅ # & ! " # D ! # & % < =A 3 ! & " " ] # ; ;" ! # 3 # 2 # & "! # ! #! ! # "! & "! & D1 2 # 2 " & 0& ! 1 ∆* D6 1 ! & " , Z V3 3 # C & "! & " ! # ! ! # " ⋅ ! 2 14 = ⋅ & $" 3 ! ! ; "! %#3"#'$/#&"/# 3")&"3)3%&" # ! ! #A 5 & D # ; " # # & "! 1 2 1 2 1 2 1 2 "## D " 3 ! "& ; ! " # D D ; ! " # V1 2 2 " 0 # # " 2 V1 V2 L 1 V3 & " = : D & & ⋅ = ! 3 ! =− & " 1 2 & ! ; ;" ! # & "! ⋅ 1 2 D1 2 1 2 L 1 & & D4 L 1 D6 2 D5 2 D4 " " " 1 2 1 1 1 2 # /" D3 2 D2 2 D1 1 # 1 A & "! && $" ! "! & " 0% 1 ;! & & & & & & # 1 & A " # & $" ! & L 2 & & < = ⋅& # : ⋅ 3 *π = ⋅ π + & " 3# + = 0 & − π ! : ⋅ ⋅& # = ! & " # ! ! # ! ! + + "& ! * D " = π π & & ! ⋅ ⋅ : ⋅ 3 # & " & ! & & # # # 7 ! 3 ! #+ # & " : ⋅ # D $ D +& # "! 0 "! 16 " A # %E" # D3 3 ! #! ! # F #&! /1 '32# (/ 3")&"3)3%&"BE C & $" ! & & & <? = 3 D " -# 3 ! & " & . # & ! # ! ! " ( & ! ! ! & 0& ! ! & " # " D & " 3 & & & & ≡ " # && $" & " & 0& ! ! ! & $" ! & D # 0 %" & & . # & ! /# & & . # & & $" 3 & 0& ! ≡ " & 0& ! ; & & 0& ! ! & " & "! # 3 ! & 7 ! & #F! & " # & $" # & & & "% " (! " = & & * + ? S & 0& ! ! & " & $" # ? b & 0& ! ! & " & $" 3 " # # ! ! " & $" ! & 0& ! ! & & & A #! & <? = 3 D " #&! M 3 & & " & 0& ! # ! /1 '32# (/ 3")&"3)3%&" BE C ,') ' %# )/3&7 3'(")(/ 3"#$%&'32# ,')'1 /1 ' ("A1 / 3"# ≠ " & # ! & 0& ! # ! & " & $" 3 & ; " ! 0 # # <I = # ! 2 + > <I = 2 &! " # ! ! # <I* = ! 0" D + & "! & " $ "# $" " Y= −∆ "& := ( "! 3 & "# ! ! ! ## %! = π : "% " ! /" & ⋅ " " & ∆ " & = A #$ # A 2 # +" %" . # & π ⋅ & ! ⋅ ⋅ = ⋅ + & "# ! ! #3 & & # . # & ! # ! ! ! & 0& ! D ! : % π ⋅ − π ⋅ ⋅ ⋅ : & & π ⋅ : ⋅ π − π ⋅ ⋅ ⋅ * + * + 4: π ⋅ &! : ⋅ &! 3 3 0 & & 0& ! A # & "! " ! & & $" ! & π ⋅ : ⋅ & & = ⋅ π = & 0& ! & 0& ! : ⋅ π ⋅ * + " = & & ! & " ! & " ⋅ = : ⋅ & $" 3 & $" 3 π⋅ π ! ; 3 # " " ! ! "! A 2 D & $" ! & & & # J +& # " <? = 7 D < /1 '32# (/ 3")&"3)3%&" BE C ,') ' %# )/3&7 3'(")(/ 3"#$%&'32# ,')'1 /1 ' ("A1 / 3"# = "# $" " Y= −∆ "& := %! ' π ⋅ : − % ' π ⋅ ⋅ ⋅ : & & ' π ⋅ " : − ' π ⋅ ! & ⋅ ⋅ & & = = π " 7 * + ⋅ = * + = & & & $" ! & * + " = & π ⋅ : ⋅ : ⋅ : = π ⋅ ≈ 4 : ⋅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s , ' ) 25ms V(U1:S11,U1:S12)*0.5 50A V(U1:S21,U1:S22)*0.5 V(U1:S31,U1:S32)*0.5 Time V(R:2,R:1)*0.5 0A -50A -I(R) 50A 0A -50A I(D1) 50A ' 0A -50A I(D4) 50A 0A -50A I(U1:S12)-I(U1:S22) @ 50A 0A -50A I(U1:S12) @ 50A 0A -50A I(U1:S22) 50A W SEL>> -50A 0s 25ms I(U1:S12)*0.5 4* Time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≠, !0 "& " 2 # ;# ;! 3 ; ;" ! ;# & $" <; ;" ! ! & " ! & & & $"= # 3" # 2 " " !# " 3 "& " ! # ## # 0/# & # "! 3 "! " # " + (! "## 5 F 0/# & ! ! ! & "! & ! " " /"% JK* - = − < "# $" " ; ;" 4' # 3 F ! " "% = & & " % " & " :A & ! & 0& ! ! " & " :K 200V * ' ) , 0V * ) -300V 20ms V(V1:+,V1:-) V(D5:K,V5:+) , ' ) 45ms V(V2:+,V2:-) V(D5:K,0) V(V3:+,V3:-) V(V4:-,V4:+) V(V5:-,V5:+) V(V6:-,V6:+) V(D5:K,V3:-) Time 50A : 0A -50A I(I0) 50A 0A :K -50A I(I0)/2 50A 0A :K -50A I(D1)/2 50A ' 0A :K -50A I(D4)/2 50A W 0A SEL>> -50A 20ms 45ms 0.25*I(D1)-0.25*I(D4) Time 100V 0V -100V V(V3:-,V5:+) 4) "! & $" ! & " # # ! 3 ! "& # ! "0 "# $" " = + #! # %! & = - ! ! & = = & "! & 2 1 2 1 2 1 2 ⋅ π !A " !# ; & $" # D "# $" " ; ;" , L 1 2 2 1 2 1 W 2 1 2 1 8 2 1 2 1 V D6 1 I0 K : 2 ! [ &5 00 & & & # " "+ " " #! # & 0 # + "! # ( + " =: ⋅ < & & " # ⋅ " #3 ( "! ! # ⋅ # + ⋅ ( =: ⋅ : − ⋅ # + ⋅ " + ( 2 # & < & ⋅ : =: & " # A =: # & "! ! # " ! 07 ! 2 # "& 0 " % + − : "#0 & "& \ := # : ! 3 K = ⋅ 3 " 3 : ⋅φ ≈ : < " " = "! # & " 3# +T " & # & " ## = + ) = %"- & 3 " #& D π ⋅ : 1 : & #3 % D1 Z % 2 "# " %! ! 2 " # + = + = " "D % # # # +& # ! "# $" " # − + 0 & "& ! # "# $" ;# & $" # # +& # ! & 0& ! " ! =− "#0 4, 3" ! = < & *= 2*# ⋅ " ; " : ! " " # 0 0 &5 ! ! # & . ! # ! "! A & "# ! "# $" # " # "! # &! ∆ " JKD 9 @ &! = 3 # 3 # D & ; Y ∆ " ! 0 # #! ⋅∆ & ; %" ( " < := # " & 0& ! 2# & " 3 ! &! 3 " " " = ⋅ & 0& ! ! & " ! 0 # # <9 = ⋅ π ⋅ ⋅ "# & $" 3 ∆ : = π ⋅ ⋅ ! ⋅ ! : & 0& ! 3 ! &! 3 "# $" # 3 ! &! 3 # & & 0& ! " # # V(V3:-,V5:+) 50A : 0A -50A -I(L1) - I(L2) 50A 0A -50A -I(L1) 50A 0A SEL>> -50A 20ms 45ms I(L2) Time & " " # %" (" # " + # + # 2 3D MA 3 # " # "# 3 3 # + #A " "% " ! "# " ! & " #& " # " 3 ! " & "! & " # " D 0 " & A # " & #3 ! # = :A - " # & " " # &/& " % +A 2 D # ; ;" ! #! ! # ;# & $" " F# c : ≥ . " ! : " + &. & ! ! ! 5 F 0/# & ! & " : .* & "! & & $" 3 ; D 3 = ⋅ ! & "! & " /"% JK* & ! ! ! : " JK,A & 3 d F 0/# & 0/# & c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αA ! " & $" " " ! /"% 44 < = # /# 3 # + D " "# " D 3 ! < "# " "& "! ! D &/ ! <[= <`= & ; " # "& . '1 ")$/("(/ 1 '&/#+2# /#&)/0'(''1 '3')0'/ #&/#+('( ,")1 '3')0' ') 0'7 %/#&/ (/ 3"))/#&/ 3"#+&'#&/ 1 2 1 2 T1 1 2 1 2 T2 * 1 2 * 1 2 T3 I0 -% " ! & "! && $" # 3 #& " " < = 250V * 0V W -250V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(I0:+,I0:-) 300mA αPJK ` α α ` ` * * JKD SEL>> 0A 20ms 45ms I(RL1) I(RL2) I(RL3) Time " "# " # /& "! & "! # ; D ! 3 "! "! ! " ( ! & WA # # & # A # & % 0 " ! & " & "# " A # % . & "! & "! 2 # ; D & ; 2# > 3 D * ! = − > & "! & ! /"% ! 3# +# 2 + " * " /"% "& "! ! <α= # " % +# # <: # 3 JKDA 3 2 # JK,A 46 -% ( " "+ # % " . # ; D " ! & "! && $" # & " " "# $" " %! & % + # ! ! "# $" " %! & % 300V ` * 0V π α π α π −α +α π -600V 20ms 35ms # & "# ! %" " π α = α = π ⋅ π +α ⋅& # : −α 3 # & $" = & ! α < : π ⋅ % /0 & # 3 ⋅ & #α ⋅ & #α F3 # $" ; " ! # ;# + D : 2 JA + . "# $" ! " " ⋅ π " π α >: "& "! ! <α=A D # + . /"% ! %! & % < α= = α ⋅ 3 ! + # >: 250V 200V 0V -200V 0s 20ms V(Vred:+,Vred:-) Time * 0V α -250V 20ms 45ms V(V1:+,V1:-) / " & & % 3# + ! # & " & # 3 % ! 2 & D / " % + V(V2:+,V2:-) 6: V(I0:+,I0:-) Time >: α A " V(V3:+,V3:-) " %. ! " ! ! 2 α= " # π α 2 & # A# #/ ⋅ & #α = : = # " & = ; 3 # 3# + 2 " % + ! "& α ⋅ =: & + <C= # " % # α =: 250V * 0V -250V 20ms 45ms V(V1:+,V1:-) α > π α V(V2:+,V2:-) <: = V(V3:+,V3:-) α ⋅ V(I0:+,I0:-) Time <: 250V 200V 0V -200V 0s 20ms V(Vred:+,Vred:-) Time * 0V α -250V 20ms 45ms V(V1:+,V1:-) / 3# + ! # " " % +A & " #% & & & % # "# " %. & & # & 3 & 3 ! & " #$ A # " D & " "& "! ! ! # % " ` /0 & α = <α = 3 & α D D "! ! V(V2:+,V2:-) V(V3:+,V3:-) / " " " & # " % + # # " ! " ! #& " & 3 ! V(I0:+,I0:-) Time + ! ! "# $" # 3 "& # " % +A # ! & A & $" ! " %. A D # ; D ! 3 D "& $" & # " ! α = π π 6 α & ! & " ( 3 D " # 3 ! & ') 0'29$3',%)' 1 2 1 2 T1 1 2 1 2 T2 * 1 2 * 1 2 T3 R & D + " & "! & "! & V1 T1 " = " = : & % ⋅ R α < π , 250V * 0V -250V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(R:2,R:1) 60A αPJK α α * SEL>> 0A 20ms 45ms -I(R) Time ! >: & "! & -% 5# D # & ; #% " ! & "! && $" & " " 6 < " < 7 =A # & "! & α< π 6 5# D # & ; = π , ! ! <α < )π , "# $" " %! & % α = π ⋅ π ⋅ : ⋅ & #α < = 250V * 0V W -250V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(R:2,R:1) 60A JK, JK* αPJK' α α * SEL>> 0A 20ms 45ms -I(R) Time ! & "! & 5 # # 5& " % + ! α = π ⋅ ` /0 & α "# $" " π π , * α > ! +α D # # ; D : "# $" /" ! = -% %! & ⋅ = α &/ ! # 5 & " % + < 7 3 " ! & "! && $" ! #& " " < ! W = % *⋅ π : ⋅ +& # π , +α < = )π , # " < := # ! ! & ;" 3 D "# $" " # "# $" /" ! %! & % &/ ! α # " % + < 7 =: " <*= = <α = # DP* α < = α "& $" & # " ! ## 3 e: < = <*= π π )π , , 6* π α # & ; 3 D ') 0' 1 2 1 2 T1 1 2 1 2 T2 * 1 2 * 1 2 T3 R & D + " & T1 R : " ⋅ & = ⋅ ! + <# 0 1 L 2 % & $" & ! 0 /& 2 "! & "! & V1 " L 1 ⋅ < & "& = & $" ! 0 − ⋅ & $" " -% "3 < "& −θ = " ! 3 <θ = + π , % ! = +α = " " = V1 0 R = " = " = ⋅ : " " − < ( ⋅ & −θ = 7W X L 1 V − ϕ) : " ⋅ ⋅π ⋅ ⋅ " = +# ϕ = # ( − ϕ) 6' < = ): $% ≡ 0 " = "<ϕ = 2 % + # = !& != /& =θ ! ! & < -% " ! & "! && $" & " " < -% " ! & "! && $" ! #& " " = 3 # & $" < : = = 3 # & $" = 3 # & $" : =: = 250V * 0V -250V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(L:2,R:1) 80A αPJK* JK, α α * SEL>> 0A 20ms : -I(L) : 45ms Time /& : = =θ ! + " = : /& : = " − & ⋅ : " ! : (θ ⋅ : " : " ⋅ 3 ; & $" ! : : − = <θ = : " π +α = , ⋅ (θ ⋅ ( − ϕ) % (θ − ϕ) ⋅ − < =θ : − − ϕ) = (θ −θ = = − ϕ) ⋅ − + <θ = : <θ −θ = : " + : " π − ϕ) + (θ ⋅ π +α = − ϕ) # 3 # & $" : >: 3 # & $" & : <: 3 # & $" "& & < & = < # 6) A #" = d& # 3 # & $" =: 3 # & $" < = 250V * 0V -250V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(L:2,R:1) 60A JK, αPJK* α α * SEL>> 0A 20ms 45ms -I(L) /& := : ! + : " " = − & := − : " ⋅ =θ =: =− ⋅ (θ − ϕ) " & % (θ − ϕ) ⋅ ! R @ </"% : " ⋅ (θ : ; − < −θ = ! "! # − ϕ) ⋅ − <θ Y−θ = + : " , (θ ⋅ : " ⋅ " + π <θ = Time +α = − ϕ) ( − ϕ) # ; D : " ⋅ (θ Y−ϕ ) 6, = R @ =θ Y =: '3&")(/ )4'(" & ! !! "# $" " & % # ! " 3 # 0 & ! (! 2 # ! 0 " − ⋅ α = " 0 & %! ! = : = : ⋅& # α − = : ⋅& # α + :<α < 3 (! #3 π π 3 π D " <α < 3 :<α < & # ! & 0& ! π π ! 3 π ##"& " )$2#3"+ 0 "& $" # 3 # # 52 - " # "& # ⋅& #< ⋅ ⋅ "! 3 == < α =∞ + # = = W?D ≡ 3 !! $" & ⋅ ≡ "N ! ! "! $" & D ≡ "N ! 0 # # " < A A *A LA O= ? ≡ "E " " && ! "# $" ! $" & D 3 0/# & # ?P A = # " 3 !! # + # !! D 3 3 !2 ( ⋅ ⋅ ) 3 +( ⋅ ⋅ ⋅ " $" & # /# 3 $F & 0& ! 3 # " D && # # & % "! / " 0 & "& D + & # # & A & " αA # "! " ! & ! ⋅ "! " # % "! $" & # 3 α = " ! # F ! # ! ! AL ⋅ &α ) ⋅ & # α $" & # /F & $" & ⋅ − # = !A 3 $" & 2 # ! + /F " 3 & "! @d 3 3 ! ! -# !# " & $" 3 # π F3 # $" " ⋅ − 0 & "& ! $" & A /# 3 ; / & 3 # & 3" " ! # ! 61 " 2 $" & ! 2 /#+2# #./)+'/# 1 "+ ;+ 1 2 1 2 T1 1 2 1 2 T2 * 1 2 * 1 2 T3 Z # "0 @# ! ; " # 3 # # /F #D "# " # ! ; D 3 ! & ≈ A) 3 2 " "# " # ! ; D "& " 3 "+ # A # "! & & ;# 3-! ! # " 3 • >: D & < *- • <: :< D < = D #3 D # 3 ! " % /0 & 2 + & /F # 3 D " # & ; /F= ⋅ : = ⋅ < : 3 = D 3 ! " 3 ⋅& # D " # ! # & " # @# # # # # - ! # D # D "# $" ! # * T1 & 3 ! 3 # " 7 π " = − Z # 3 ! # 2 *1 3%1 "(/ 1 '&/#+2# (/ A1 "G%/"()/3&" V1 " "# " # "! # "+ # > "# $" "+ # /F #"& " A& "! ! # = "# " 64 "D # 3#; & ; & # ! ! ! # " .& A ! " & $" ! α = # "# " # "+ # # # % " #A # 3" < = π , 400V * 0V α α α -400V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(I0:+,I0:-) 400V * 0V SEL>> -400V 20ms 45ms V(T1:A,T1:K) Time & & α = # & 3 & " & 0& ! & " ! α >: π * 400V * 0V α α α -400V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(I0:+,I0:-) 400V * 0V SEL>> -400V 20ms 45ms V(T1:A,T1:K) Time & & # & 3 & " & 0& ! 66 & " ! α >: α = π 400V * 0V α α α -400V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(I0:+,I0:-) 400V * * 0V SEL>> -400V 20ms 45ms V(T1:A,T1:K) Time & & α = # & 3 & & "& A #$ " & ; 3 "& & + α =: )π , 400V * 0V α α α -400V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(I0:+,I0:-) 400V ?& 0V * * SEL>> -400V 20ms 45ms V(T1:A,T1:K) Time & & # & 3 & " "! ! :: " $" α <: "& # " # α ! !! D "# " " + " A3 ! #3 < α >π # ! "# $" "+ # < + # 3 $F = # " " # 3 ! <:= - πA # & ; $ & "# $" ! 3 # ! "! " # ; D 3 D # 5 & & "! & < = # " % + 2 # ! ; " " " % + ! " 3 D ! &5 # & 3 A 3 # 52 D F "# $" "+ # α 3& ! < D 3& ! /"% =!# " ! #% " A " 3 # & %# & # 3 " /" ! "& "! ! # @# 2 &/ ! α =π "# $" " # # ; " # # 0& " " % "! ! # "- " 2 " 3 D *1 3%1 "(/ = − = " # & "! & = : ⋅ π + π ! ; # 3 3 3 ! # & 3&! ! ! ; D ∆ > A − # & "# ! = * 5& − & & = # < : <I = ! # " " 2 ',1 3'('/# /1#+&'#&/ (/ A1 "G%/"(/ %# & "! & A * " /F & D +α = # "! D − "& ⋅ : ≡ π * = π < 3 ! α ⋅ ⋅ = # & "! && $" " ⋅ "# $" "+ # # ! & A # 3 ! & A # ; D ⋅ : C <+ % /0 & αP)JK,= B π : + π ⋅ π " " 3 " & # & 3 & $" 3 # 3 3 D ! ; D ω π+ ⋅ & " α π + π − & $" =π − π + π +α 3& ⋅ω −δ ∆ = π −α ω α ! =π − # "# " /" # "! δ≡ 3 ! & " : & $" π ; D 3 ! ; D & 3 # *1 3%1 "(/1.'1 ")$*K$"G%/ ,%/(/ &"$')/1*#0%1 "(/ 3/A'(" α máx ∆ = + +α "# $" " % + D = ! ⋅ ⋅ω ! #&/#+('(/+L7% +/3 87% ,)$ "# ! # % D /"% α # 3 " "/ # # & & #3 "! " # # & 1 %A 0 " ! & " & "# " A " 7 # & " ! ! # & " # & 2 1 & " %A 3 3 # ! #0 # ! 2 T1 1 2 1 2 T2 * 1 2 1 * 2 T3 I0 230V * 0V -230V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(I0:+,I0:-) 80A αPJK' JK, α α 0A I(I0) 80A * SEL>> 0A 20ms : I(T1:A) 45ms : Time ! " # . ! # θ = " & π , % +α T θ = = )π +α , : : @# " ! 3 3# ! = = ! " JKD + ! A 0 & (2 /F ! & " 3 # 3 ! #0 # ! # α D # = * * / = * = π θ ⋅ : θ θ ⋅ π = : θ : = : : # & " # 3 # & "! & 0& ! ##"& " "# ! "! ! Y = " ! θ ⋅ π 3 : θ # ! " ≈ & = "#0 3 %! ⋅ : ! #A # & "& ⋅ 2 3 π ⋅ # 3 & " ! ! 3 ##"& " "& # 3 D Y #0 & 3 "& " " # 3 #+ #! = ⋅ #! ⋅ = : ⋅ # & = : π ⋅ ⋅ & #α & % & " @# " = # & = ' # # # " Y ⋅ & #α = Y 0 0 ⋅ & #α 0 0 0 0 0 0 = %! #D " ≈ # 2 # & "! # " " "# $" 2 & " # " % ( & $" # " 3 # " % % ' + & 0& ! ! = " D 3 + D ;# & # # "& " " & # & 0& ! ! # #" 0 0 " 7 & " ! ! # 2A ! /# ! 3 "! " ! α ⋅ & #α 0 0 0 0 = ' 0 0 = ⋅ & #α 0 0 ⋅ & #α 0 0 # 0 & # ! 3 " "# " # 2 & α = π "& !# " # =: 0 " 2 " $ !! # " D & α # & ; 3 "& & JK ! ;! 0 = + ) + :* " ! &! & + "! " ! "#0 ! # " D " & 0& ! # #" & " & ; 2 " 5 # 3 ! " & "# ! # # # 3 D # + # ! % # " ; # & # #A 3 3 "& # "# ! < =!# " 2 & "α η ! #0 # 3 # # 3-! ! # " "# $" 2 & " # " < '6 ('+ (/ &/#+2# #&/)#'+ (/1)/3&7 3'(") ;! 3 ! "& ! # ; ;" ! # ! " & $"A 2 F # "& ! " ! # "# ! & % < α@= ! # " 2 "# $" " %! αY= α α ≡ & −∆ ! A # # "& " " ! 3 ! & " &! D 5& " D ! ! "# $" " % −∆ − ∆* "# $" ! " %! ⋅ & #α − ∆ αY= "#0 #A # & −∆ % <# " & "# ! &! = − ∆* 0 0 # #& . ! #! "# $" # " ? ≡ &! 3 & ; " ! 0 # # 2 # ! ;! ; ;" ! # ! "#0 ! # &! /# 3 " ? & " ≡&! ! ! "! && $" D 3 # " " ! " ! 1 :] ! ≡ &! 3 0 & > 2 # ! ;! # # "& $5 & D " & $" 2 # ; ;" ! # 3 # 2 # & "! # ! "#0 ! " ! * )] ! ? + 2 #! " # @# <! # ! ! ! # = "# $"A ∆ # & . ! # ! 3 # " " ! # <D # "! 3 "! " α=A ! # ! % " " -# 3 #! α; ∆ =∆ +∆ + ∆* α =: α = π α + ! ! "# $" " α <π " & α =π " α >π & & >: α =: & & 0& ! % 3 ! # & " 3# + ! A " ⋅ω " % + %. ! " ! 2 " % % ! "2 & ! <0 α %! = π −δ − " ! #& " "& ! &! " # & # A# " & ; 3 "& A & & + <C= ; ! C %. ! ! α <: & 3 ! 0 "! & $" ! ! " " $" %.= "! 3 "! " :' % # "# " < ,"))/3%A)$/#&"(/ 7 '+/+ B? &! 3 ; ;" ! # ! & ; "#0 " ! ! 0 # # <9 = C # ! ;! V1 "! && $" D 3 # " " # V2 2 2 L1 L2 Z 1 1 T1 T2 : 300V ? 0V V(U1:S11,U1:S12) V(U1:S21,U1:S22) V(I1:+,I1:-) 100A JK G JKD G α JKD SEL>> 0A 0s 16.7ms I(D1) I(D2) Time δ ≡ ^"% ! & ; " ! 0 # # "! " " & # & "! && $" 3 δ " 3# ! " # ! 3# ; D A 3# ! " # ! # ! & A " 3 ! 5; + δ & #% " # " 3 - 3# ! + & & "! F% " 3 & " # ; #& # ! & " 3 # & & : + D 3 "! " : # ; & "! & "! # "! & + & " & $"A 3 # ! & "! & " # "# " /" A # " & # " 3 δ! & "! & " 2 # /" " < # /" " & & & 0 # #= %" " &! "# $" " % ! & % " #! & " & $" " "+ !# " & & & " " & $" & :) " 9 D # & "# ! # & % 0 " ! & " & = # ! # ; ;" ! # !-" & # ≡ "! && $" ! "#0 ! & " & $" <# & "# ! " A! < # 2 # # 2 # ! [ &5 00 #! # + "! ! "! & =: # " % ⋅ G &* D & & 3 #& = : ! &! < & = = # & "! = " ! + # 3 "! " # ! " # & "! /# ! 3 #$ # 3 ! & 9 = D # & & = + 3 & "! 0 = − ⋅ < & = − ⋅ < & *= =− # 2 ! # %" # 3 # = + − ⋅ # + = + : "# $" " %! & % ! " & " & $" # = + D#0%1 "(/ )/3%A)$/#&"(/ 7 '+/+ BδC # "! & = ⋅ − ⋅ − =− ⋅ ⋅ = − ⋅ − ⋅ = = − _ &* : = ⋅ ⋅ : ⋅ − π − ` = : ⋅ − π −π * = i2 = − =− : ⋅ − π ⋅& # V0 π π ⋅ sen ⋅ cos wt − ⋅ dt + C L q q : ⋅ π ⋅ − π + :, − π & & :=− <& "# " π ⋅ : π ⋅ ! + π = " % & $"= +α − π + π + = : π +α =: π ⋅ ⋅ & #α & #α & " ! "! : = " " & " π ⋅ : & " = & $" # = & $" π ⋅ & #α − + π π + +α +δ − π : π ⋅ ⋅ & #α − +α +δ = − π : π & #α +δ ⋅ & # α − & #<α + δ = = : " & # # "! : ⋅ " " # # + @# # " # ! D ! ! & π %! & :A :A ; "! /"% ! % < := + # "! ! " /"% & 0& ! ! = π = : ⋅ = : ⋅ &! "#0 9 # # ⋅ − δ " ! 0 # # <δ= ; "! C + + π π + +α + δ − +α + ⋅ ∆ − 3 ! & ; <D= 2 " = π ⋅ ⋅ ⋅ : π # "! 3 "! " 0$ /" = ! 0 # # <δ= ! 9 π π ∆ ∆ ! 9 " ! & ; ##"& " '1 ")$/("(/ 1 '3( & ,"))/3%A)$/#&"(/ 7 '+/+ B? "# " /" & ; " ! ! 0 # # <9 "! & "& ! /"% # +/ ! 3 #$ ! # # ! = # 3 3 & " "#0 ! < = :A "N ! 0 # # ! # & "! ! #A & "! ! "& "! ! <α= & 0& ! & "! & # # #" & " :1 2 & " & "! & " < ,")/7 /3&" "%1 / B? &! 3 0 & > <9 " & $" 2 # ; ;" ! # 3 9 # ! "! 3 "! " ∆ " ! = ! /"% ⋅ = D 2 D ≡ "E A A # + "#0 ≡ 2 W@ # ! A < 9* & # # "& W@ D + ⋅ ⋅ & # & ⋅ ⋅ & # + #Y ! ⋅ ⋅ # D 3 # " " & 0& ! # #" & " ! ! 2 A3 ! ] "#0 " # # & "! ! @# 2 # "! 3 "! " ! ! A3 2 2 # ; ;" ! # 3 ! ! ! # 2 # & "! # ! C 3 # " /"% ! & 0& ! ! "& "! ! <α= & " & $" 3 ! "! & "! & V1 T1 ∆* = * Z @ " " 3& %#3"#'$/#&"/# 3")&"3)3%&" & 0& ! & " " 3 # ! 3 ! # 3 # 23 & " F " ! M+ B? " # # "& $5 & #! "#0 ! " # & "! # & "! & "! & / " # " + ! 3 "! " ! W &! "# " [ 0 & (! /# 1 "+ & % " & ! "! ⋅ ! 0 # #! ≡+ W # ! ;! # 2 # & "! # 0 D "& "! ! <α= ! = = C 3 ! + D " # " #(%1 '(")#"'%&2#"$" :4 & $" ! & " & "! && $" & & 3 D # " & # ! α > π α <: = ⋅ α <: & & # & 3 & " "! " ≡ " "! & & 0 "& " & # ; D " "# " D "# $" # "+ >: 2 +! α > = + α "! & " $" ≡ % = ! − " & & α # # "& " & & ! 2 /"% ! "& "! ! <α= # 2 % "! A # " #3 "! ! ;! D & " & $" " # "# " /" A # 0 2 "# $" α " # A ! " % " & " 3 ! ! # & 0& ! 2 )π , 300V * 0V W α αP)JK, α * * -500V 20ms 45ms V(V1:+,V1:-) " " % /0 & # 3 # "# " /" V(V2:+,V2:-) A# V(V3:+,V3:-) V(I0:+,I0:-) Time " # 5; # ; D ! " #! "# " # % . & "! & "! 2 " # & ; .3 D * * :6 W ! ;! * b D 3 & " ! & $" W '1 ")$/("(/ 1 '&/#+2# /#&)/0'(''1 '3')0' T1 1 2 1 2 1 2 1 2 T2 T3 Z * 1 2 1 2 T4 α > T5 T6 π * 400V * 0V -400V V(V1:+,V1:-) V(V2:+,V2:-) α 400V * V(V3:+,V3:-) V(VGT2:-,0) α α V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(VGT2:-,0) V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(X6:A,0) ' V(V1:+,V1:-) ) V(V2:+,V2:-) V(V3:+,V3:-) , V(X6:A,0) * 400V * 0V -400V 400V α α α ' ) 400V 0V SEL>> -400V 20ms 45ms V(R:2,R:1) : # & 3 # & $" ! = + & "# ! ! ! # ! # & 0& ! ! & " " ! /# 3 # + " ! /# " % + ! "# $" " − α & 0& ! "# ! #3 & ! & 0& ! " π "# " & = " π π ⋅ : ⋅ : & $" 3 π ⋅ π ⋅ ! "! ! & " ⋅ & #α & & $" 3 ! ; & $" + ! #$ ! ; " ! #& 3 3 " 3 & /3&7 3'(")3"#&)"1 '(" " & % < 7 3 " ! ! & % + &! !! " ! & " & 3 = & & $" ! ;+ T1 2 1 2 1 2 1 2 1 2 1 T2 T3 Z * 2 T4 T5 T6 # " #(%1 '(")#" '%&2#"$" 1 D ⋅ & #α & 0& ! : ! ⋅ & #α & $" 3 % & !< 7 0 /#+2# #./)+'/# 1 "+ π ⋅ & <: %. =− ! ! & " 2 ⋅ π % ! >: ! α α α # ! & " ! ; # = α α & " α & 0& ! & $" 3 %! − α π %. ! α > # = " α < " "# " # # − 2 " ! = # " % %.= "# $" "+ # D α = *π ' # 3 < # & & # 3" # + "! " & ! * = − = 400V * 0V α α α -400V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(T1:K,0) 400V 0V * * SEL>> -400V 20ms 45ms V(T1:A,T1:K) Time D "# $" D # 3 " & # ! " & ! & 0& ! " " & 0& ! ! & " ! & " & $" 3 ! & $" 3 ! "! ! ; # # #&/#+('(/+L7% +/3 87% ,)$ # & " # 3 # @# 2 ! ! #3 ! #0 # ! # " /"% 3 " "! D & % #0 " "#0 Aα ! ! & # " % " # D " # & #3 "! " # & "# " T1 1 2 1 2 1 2 1 2 1 2 1 T2 T3 I0 * 2 T4 ' T5 T6 " 7 # & " α > π * 400V * 0V -400V V(V1:+,V1:-) V(V2:+,V2:-) α 400V * V(V3:+,V3:-) V(VGT2:-,0) α α V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(VGT2:-,0) V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(X6:A,0) ' V(V1:+,V1:-) ) V(V2:+,V2:-) V(V3:+,V3:-) , V(X6:A,0) * 400V * 0V -400V 400V α α α ' ) 400V 0V SEL>> -400V 20ms 45ms V(R:2,R:1) 50A 0A -50A I(I0) 50A 0A -50A I(T1) 50A ' 0A -50A I(T4) 50A 0A SEL>> -50A 16.67ms -I(V1) 41.67ms Time * #0 & #! ( & $" # " 3 # & = 0 0 = #D ⋅ & #α " = # & = ' /# ! 3 "! " ! α " 7 & " ! ! # 2A ! 0 0 ⋅ & #α 0 0 ' = 0 0 = ⋅ & #α 0 0 ⋅ & #α 0 0 '6 ('+ (/ &/#+2# #&/)#'+ (/1)/3&7 3'(") # &! 9 & "! ! #< A 9 2 9* # " & 0& ! #" & " # # # 2 # & & " % D " ! & " & $" 3 ! ; = & #3 "! " " 7 D#0%1 "(/ )/3%A)$/#&"(/ 7 '+/+ BδC ⋅ & # α − & #<α + δ = = : /"% 3 ! ! & ; ! "! : ⋅ " δ π ! ! & ! 0 # # <δ= =δ # /"% # ' ! D & ; " " " ! 0 # # <δ= & 0& ! ! & " & $" # /& "# "& " ! 3 ! # & 0& ! #! #" % + #"& " ! & 0& ! & " ! ! & " 3 # 30 & & & ! & " # /" " ! # # 3 "& "# $" & 0& ! " %! & % < ! & $" 3 <` " = # "! "& " ! ! ! !0 ! # 3# + & " ! 2 ! "! # & " ! /# 3 # + 3 # #=A 2 D # &/ ! # ! # @# "& " # T1 1 2 1 2 1 2 1 2 "# " # # T2 "# ! # 3 & ! T3 Z * D2 2 2 D1 1 2 D3 2 1 1 2 1 1 '1 ")$/("(/ 1 '&/#+2# /#&)/0'(''1 '3')0' # + & "# & ! 2 " ! = 3 # & $" ! − # "# " # # ! ! # ! # & 0& ! ! & " " ! /# 3 # + " ! /# " % + ! "# $" " = α # 3 # 3# + 3 " " ! #$ & 3 & $" ! " %.= − ! #3 & 0& ! & $" 3 α = %! & = π ⋅ % ! π ⋅ & ! # ! & " ! ; # =− α & # "# : : π π ⋅ ⋅ : π & $" 3 ! ! & " + & #α D + ! αA # & & #$ 3! . % + &! ! 2 " ) − ! "! D π ⋅ ⋅ = ⋅ & #α & 0& ! ⋅ & 0& ! >: & $" 3 ! ; & +/ ! #$ 0 "& " & # 3! . 3 /3&7 3'(")< 7 ( 0 " ! # & " #&/#+('(/+ 3 " "! !# " # D & & "! & α = 7 # 0 π α <π − # % " " #! ! & " & "# " # # & "! & " # " # ! < =A # & "! & " ! 0 # ! " ! # # # /" & " # # ! # & 0& ! π ' 400V * 0V -400V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(VGT3:-,0) V(I0:-,0) 400V α 0V α α * * * SEL>> -400V 20ms 45ms V(I0:+,I0:-) Time 1.0A 0A -1.0A I(I0) 1.0A 0A -1.0A I(T1:A) 1.0A 0A -1.0A I(D1) 1.0A 0A SEL>> -1.0A 20ms 45ms -I(V1) Time = * − , π α >π − 2 D d2 " " α = 7 + # " # D 2 "! ! & " & ! # "# $" # " %! & 0 # & "! & " ! 0 % < # = # & A /" *π ' 400V * 0V -400V V(V1:+,V1:-) V(V2:+,V2:-) V(V3:+,V3:-) V(I0:-,0) V(VGT3:-,0) 400V α 0V α α * * * SEL>> -400V 20ms 45ms V(I0:+,I0:-) Time 1.0A 0A -1.0A I(I0) 1.0A 0A -1.0A I(T1:A) 1.0A 0A -1.0A I(D1) 1.0A 0A SEL>> -1.0A 20ms 45ms π −α -I(V1) Time = & * − 3 "& 3 + " 7 ! # & 0& ! " # 3 # 2 # & "! # ! ;-" # # "#0 & " ! 1 ! # # # 0 # " ;7 # 2 # &A D 5& # 3-! ! # " D # & ; # 0 & # " % +# D #3 3 #! " & % " • • • U" " " & 0& ! A # "! 3 ! & # # "2 && $" ! 3 "& & + "2 && $" ! $" & # ! & # D ; #! ! & 0& ! & " # ; " " # ; ! ! !! %" " 3 "& & + D 3 "&/#3' )/'3&.' (/ (/+/G%1 A)" BN(/+/G%-1-A)-"C %" ! " < & " "2 & ! " !" ## " ! = "& & + ! "! /# ! # " 3 " " # # ! #& 3" " ! #0 # " "# $" ! ! !A ! ;! /"% ! "& "! ! 3 %" ! "&/#3' )/'3&.' (/ 3"#$%&'32# BN3"#$%&'3-2#C "# " /" ! # ! #3 # + # # & "! & # # # /& " & ! "&/#3')/'3&.'(/ $'#(" BN$'#("C %" ! 3 2 "! 0 "! " ! & " "2 & ! " <α= & D & 0& ! # 3 $" & # ! & " #& " & $" " ! # "&/#3')/'3&.'(/ $'#("BN$'#("C " " # & 0& ! # & " ! # ! ;! "# $" ! ! 2 & " ! /"% 3 ! "& "! ! $" & <α= %" 3 ! & 3 "& " ! #0 # & + ! "! " ; %A " # 3 "& & + ! & 0& ! # & & 0& ! "! 3 # #" & " & " # 3 ! & " ; ;" 3 D # ! #0 # 2A 3 " "# ! ! #3 & A" # "# $" N = N = 1= ⋅ ⋅ ⋅ & #α ⋅ ⋅ α α "! & ! & 0& ! . # & # α = α < α > π π π =: 1 & 0& ! "! ! = ⋅ >: < <: < # ;# #! + 4 ;! = = 1 > : <C # "! & + = 1 > : <C # "! & + = %" "D # 3 # ! # 3 ! ;# ! "# $" ! 3 & "& " 3 F & + ! "2 & ! " ! " 5; % "! # & %# ! "! ! 3 "! ! 3 ! ! " " & 0& ! # !D " & 0& ! 3 "& & 0& ! & ! " & " A ! 3 ! & + " ! 2 % "! # /"% "& ! & ;! 2 ! & + /F # "&/#3')/'3&.'(/ (/+/G%1 A)"BN(/+/G%-1-A)-"C & " " " "! ! 3 "! " ! 3 ! ! 0 "! " & 0& ! "& & + % # $" & # 0 " "! 3 "! " ! /"% A ! # 3 F /# " & (! ! & 0& ! +-# ! 3 "& ! ! #3 " & "% & " ! ! ! & + ! <α = A # 3 ! ! #& 3" 3 $" & # & 2 3 ! 2 0 & & 3" " ! # D ; 0 "! " #3 & ! & ! "& " # $" & # # "# " /" ! # "&/#3')/'3&.'(/ 3"#$%&'32# BN3"#$%&'3-2#C 3 "& & "! & # & + ! & " & $" # ! ;! & " & $" " # > # $" & # 3 + & " " ! # 0 & ##% " ## ; "& & + ! ! # D ; ! & " 3-! ! # # 3 " # ! # # " " "! ! "# $" ! & & ! & 0& ! A 0% 3 # " ;-" # 5 "& ! 1 XL " ! D " " & " 2 # 3 "& ! & 3 " " # $" & # ! " & "! "# ! ! & 3 "# & $" ! 3 2 C ! in 6 %" "& ! A & + ! 2 0 " # 3 # "#0 ! $" & # # & 0& ! $" & # 2 D -%" %" "! 0 "! ! ! ! # "& & & 3 F ! " " $" & # 3 ! & ! # ! 3 "! " ! A & " F $" ! ! ! & 0& ! A! 3 ! & 0& ! 2! " # ; ;" ! # ! ( ! & % 3 ! 0 & ! # # $" & # # % + # F # " " ! & "! "# ! # & # # " 0% ! & & D + " A 2 D 0 " & & # " " " 3 2 # 3 ! "& # / +! 3 0 & "& ! # " "& A < 3 ! "! & "& ! # & " ! %" ! # $" & # ! & " = # "! ! 0 & $" ! "! ! "# $" +! 3 # # " 3 ! "& " ! 3 " 0 " ! & " & "# " F3 # $" ! # 3-! ! # D 3 +& " # #% " 2 = ⋅ N T1 V1 1 V2 1 V3 1 XL XL XL 2 1 2 1 2 1 XT T2 2 XT 2 XT Z 2 T4 `" ! ! W ≡ 3 ! "& ! W ≡ 3 ! "& ! . " < & 3 # != G % " ! 0 7 ! ! #3 # $" ! T3 T5 T6 0 "#0 ! # ! # D ; # ! "# $" ! ! & "! 5 2 & 0 & ! # " # +& A # "0 # " 0 ! ! ;# ! "# $" 3 $! & #A %" ! # 3 # & & & # " 0 # # D # 3 ! & " " # 3 & # # ! & " & $" D " # " "# " /" # # & $" ! # # ! ;# 0 ! # "# $" ! ! ! 3 "! ! /"% ! "& "! ! ! & & $" ! #! ! # 0 # # # & "! ;# # & #3 "! & " # # /" " & & & : /"% ! & ; " ! 0 # # <δ= ! " # # & & & #% " # %" " ! ' 3 /"% ! & 3 "# " & # ! & " & ! # ;# ! 3 = " ! 3 C #& "! 3 "& & + + . " ! " #& " # 7 # ; # ! " 3 ! " " # & " & "! 0 "! " D 3 # " & + A 3 1 & "+ ! "& & + XL D + " %! " & # # # 3 "& & + " + & " # ! "/ & # 0 # # # #A # # "; .# ! & "! "# ! #D # & " & " # # "& 3 "& " & # ! ; ;" %A 2 C ;/# & " 1 G ! ! ! &5 # ! ;# # #* ] # + #* "& "! ! <α= # 0 7 3 "& & + ! D "# $" R L 2 ; " & "! "# ! # . ! & "! "# ! # " 7 # ! " D " 3 & "! "# ! & " " & 2 #" & " " 3 "# " & ! $" & ! ! ""# " XL 1 2 C & "+ ! %" # " %" ! ! 0 & U" & # " "& ! "& ! $" & # #0% 1 3 ! & # "3 & & " 3 A 3 ! "& ! " ## 2 " & /# 3 ; & "! & & "& ! # " "& "# $" ! /& D 3 " & D + " 1 R ! & & ! /# ! "! 0 "! XL L " 2 2 # $" & # 1 L G 2 C in 2 C 2 D "! 0 "! " # / ! 3 ;" 0 & # 1 L & " "0 1 G " ! & & 0: 3 ! # + " # ⋅# # −# ! " # "! 0 "! " & & # " " &! #3 3 & " " $" & # /3 $F 0 & 3 ! "! 0 + ! # < V: = ∞ =A D ##% XL 3 # #$ " = # " "& 3 "# & $" ! # " "& " & & ! $" & # & & ! 0 ! D 3 ! "& &! ! ! # "& & "! "# ! 2 & # & "# " A ! & ! in & D $" & ! ! "" 0 # !# M 3 0 "! 0 "! ( N) " W # ! "! & + $" & # < "# " ( ) # & D 0 ( ) $" & # ! ! D 3 < # # $" & # 3 ! "& "! & + (# $" & #A W # = ⋅π ⋅ ⋅ ) 2 " " # W # ! 0 & = ! # & & 3 /& & ⋅π ⋅ ⋅ & & ! & & "! 0 "! ! 0 # " & 3 "! 0 "! ( N) 3 "# # " " > # # & 3 3& + $" & * & 3& + " # # " " " "