flexible ac transmission systems ( (11)

flexible ac transmission systems ( (11)

flexible ac transmission systems ( (11)

... filter known t o be ( 11.17), see e.g. [7]. p T T m T QkKkukgkKkK kgkkpkp kykpkuk QkukKku kukK kg +−−−= +−= −−= +− − = ) 1() ( )() 1() ( )() () 1() ( )() 1() ( )( )() 1() ( )() 1( )( ε ε (1 1.17) To ensure good ... tracking, a regularized constant trace algorithm is used with 4 21 10/ ≅cc . 300 11 Wide Area Control of FACTS p T Qc kKtr kKc kK kKk...

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flexible ac transmission systems ( (2)

flexible ac transmission systems ( (2)

... are: )sincos( 2 ijijijijjiiiiij bgVVgVP θθ +−= ))sin()cos (( seiijseiijsei bgVV θ θ θ θ −+−− (2 .36) )cossin( 2 ijijijijjiiiiij bgVVbVQ θθ −−−= ))cos()sin (( seiijseiijsei bgVV θ θ θ θ −−−− (2 .37) )sincos( 2 jiijjiijjijjjji bgVVgVP θθ +−= ))sin()cos (( sejijsejijsej bgVV θ θ θ θ −+−+ (2 .38) Fig. ... , ijjj bb = . The operating constraint of the SSSC (active power exchange via...

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flexible ac transmission systems ( (3)

flexible ac transmission systems ( (3)

... Analysis ))sin()cos (( ))sin()cos (( 2 innininnininn ininininniinnni sebsegVseV bgVVgVP θθθθ θθθθ −+−+ −+−−= (3 .45) innininnininn ininininninnnni sebsegVseV bgVVbVQ θθθθ θθθθ −−−+ −−−−−= cos()sin (( ))cos()sin (( 2 (3 .46) where )/1Re( in Zse= in g , )/1Im( in Zse= in b . in P , in Q (n=j, k) are the active and reactive power flows of two IPFC branches ... equations (3 .50)...

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flexible ac transmission systems ( (4)

flexible ac transmission systems ( (4)

... FACTS in O PF Analysis 115 ))sin()cos (( 2 ininininniinnni bgVVgVP θθθθ −+−−= ))sin()cos (( innininnininn sebsegVseV θ θ θ θ −+−+ (4 .61) ))cos()sin (( 2 ininininninnnni bgVVbVQ θθθθ −−−−−= ))cos()sin (( innininnininn sebsegVseV θ θ θ θ −−−+ (4 .62) where )/1Re( inin g ... OPF ))cos()sin (( ijiijijiijiji ij i sebsegVseV se P θθθθ θ −−−= ∂ ∂ (4 .123) ))sin()cos (( ijiijiji...

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flexible ac transmission systems ( (5)

flexible ac transmission systems ( (5)

... as: ° ° ¯ ° ° ®  ==+ ≠≠−− = ∂ ∆∂ ) ,() ( ) ,() cossin( 2 pmijBVQ pmijBGVV P pp ii p i p i pm ij pm ij pm ij pm ij m j p i m j p i θθ θ (5 .59) ° ° ¯ ° ° ®  ==− ≠≠+− = ∂ ∆∂ ) ,(/ ) ,() sincos( pmijVPBV pmijBGV V P p i p i pp ii p i pm ij pm ij pm ij pm ij p i m j p i θθ (5 .60) 152 ... parts: 0 2 3 2 1 )Re( 1201 =++=−=∆ b se b se a se jb se a seRe FEEeV $ VV (5 .79) 0 2 1...

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flexible ac transmission systems ( (6)

flexible ac transmission systems ( (6)

... =−− min 0000 )( (6 .42) 0hsuyh =−+ max 0000 )( (6 .43) 0yg = )( ii (i =1,2,…,Nc) (6 .44) 0hslyh =−− min )( iiii (i =1,2,…,Nc) (6 .45) 0hsuyh =−+ max )( iiii (i =1,2,…,Nc) (6 .46) 0uu =− i0 (i =1,2,…,Nc) (6 .47) where µ >0, 0sl ... )( 00 µ L (6 .50) ) )(( min 0000 0 hslyh ʌl −−−=∇ µ L (6 .51) ) )(( max 0000 0 hsuyh ʌu −+−=∇ µ L (6 .52) 00 0...

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flexible ac transmission systems ( (7)

flexible ac transmission systems ( (7)

... Systems ¦¦ −+−+ ¦¦ +− −=∆ == == cbapcbam m i p i pm i m i p i pm i p i p i cbapcbam pm i pm i pm i pm i m i p i ii BgGgEV BgGgVV PgPg ,,,, ,,,, ))sin()cos (( [ )sincos([ δθδθ θθ (7 .6) ¦¦ −−−+ ¦¦ −− −=∆ == == cbapcbam m i p i pm i m i p i pm i p i p i cbapcbam pm i pm i pm i pm i m i p i ii BgGgEV BgGgVV QgQg ,,,, ,,,, ))cos()sin (( [ )cossin([ δθδθ θθ (7 .7) where ... given by t ],...

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flexible ac transmission systems ( (8)

flexible ac transmission systems ( (8)

... circuit LFC high capacity line low capacity line transmission direction LFC placed crossways to critical lines LFC placed in critical line with high capacity LFC placed in critical line with low capacity Fig. ... 53 Conneforde Maasbracht Siersdorf Rommerskirchen Vigy Uchtelfangen Meeden Diele Hengelo Gronau Achene Lonny Aubange Moulaine Avelin Avelgem Germany (D) Netherlands (NL) Belgium (B...

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flexible ac transmission systems ( (9)

flexible ac transmission systems ( (9)

... function V(T) exists for time points T≥0 [9]. ³ ≥∀+≤ T TudttutyVTV 0 00 (. ), )() ( )() ( (9 .3) New System with NISC (stable) Stable equilibrumStable equilibrum Original System (stable) x 1 (t) x 2 (t) „New“ ... sub- SCADA Coordination y Analysis » ¼ º « ¬ ª ℑ →ℑ 222 2211 ') ,( ': )( uux uuGu Analysis » ¼ º « ¬ ª ℑ →ℑ 222 2211 ') ,( ': )( uux uuG...

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flexible ac transmission systems ( (10)

flexible ac transmission systems ( (10)

... to compute the impact of the FACTS-devices on lines on parallel paths. It computes the GSDF (generation shift distribution factors, [5]) in order to quantify the impacts of FACTS-devices on all ... atic analysis of network t opology with backtracking algorithm z control path z all parallel paths for every FACTS-device computing t he impact of the FACTS- device on parallel paths w ith GSDF det...

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