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AVR/PSS Structure by Terminal Voltage Phasor

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Page 1: AVR/PSS Structure by Terminal Voltage Phasor

AASRI Procedia 2 ( 2012 ) 2 – 7

2212-6716 © 2012 Published by Elsevier B.V. Selection and/or peer review under responsibility of American Applied Science Research Institute doi: 10.1016/j.aasri.2012.09.002

© 2012 Published by Elsevier B.V. Selection and/or peer review under responsibility of American Applied Science Research Institute

−=Δ

AASRIProcedia

www.elsevier.com/locate/procedia

Available online at www.sciencedirect.com

© 2012 Published by Elsevier B.V. Selection and/or peer review under responsibility of American Applied Science Research Institute

Page 2: AVR/PSS Structure by Terminal Voltage Phasor

3 Oleg N. Agamalov / AASRI Procedia 2 ( 2012 ) 2 – 7

ωΔ

+=−=

−=

ϕ

( ) ( ) ( )ϕϕϕϕ ⋅−=−=+=+−=−=

= ϕ

Page 3: AVR/PSS Structure by Terminal Voltage Phasor

4 Oleg N. Agamalov / AASRI Procedia 2 ( 2012 ) 2 – 7

ϕΔ

π

( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( ) ( )⋅+⋅

⋅−⋅=−=Δ ϕϕϕ

δ

ϕ

ω δ

Δ

Δ

δΔ

Δ δΔ

+−+=−=−=Δ

−+−=Δ−+=−=Δ δ

Page 4: AVR/PSS Structure by Terminal Voltage Phasor

5 Oleg N. Agamalov / AASRI Procedia 2 ( 2012 ) 2 – 7

( )+= ( )−=

( ) ( )( ) ( ) ( )( )−+Δ+−+Δ===Δ

δδ Δ+Δ=+= δδ Δ−Δ=−=

( ) ( ) ( ) ( ) ( ) ( )∂Δ∂

+∂Δ∂

∂Δ∂

−∂Δ∂

( )( ) =Δ ( )( ) =Δ

{ }δ

δδδδδΔ+

Δ−=Δ+−Δ⋅Δ+Δ=

=Δ∂Δ∂

+∂Δ∂

=Δ∂Δ∂

( )( )δδ

δΔ−=

Δ+Δ

−=

Δ

Σ +ωωΔ

ΣΣδΔ

Δ δΔψΔ

Δ Δ+

ψΔ

δΔ

Σ+

δΔ

×

δΔ

δΔ

δδΔ+

Δ

Page 5: AVR/PSS Structure by Terminal Voltage Phasor

6 Oleg N. Agamalov / AASRI Procedia 2 ( 2012 ) 2 – 7

δΔ =

ψΔ

[ ] δδδ

δδδ

δψδδψ

ΔΔ+Δ+++

Δ+Δ++−=

=Δ+

ΔΔ+Δ+

−Δ−⋅+

Δ

[ ] =ΔΔ+Δ+++

Δ+Δ++−==Δ+Δ=Δ=Δ δδδωω

δδωψ

[ ]+Δ⋅

Δ+−Δ+⋅

⋅Δ+Δ++−= δ

δωδ

δδω

[ ]δω

δωδ

δδωΔ−⋅

Δ−Δ++⋅

⋅Δ+Δ++−+

δωδωδ Δ+++Δ+−Δ+=>

Δ+Δ−=

Δ+Δ−=

=====−=====

δδ

δδ

=Δδ =

→>Δ [ ] [ ] >Δ+Δ+⋅Δ+Δ+− δδδδ

→>Δ [ ] [ ]<Δ+⋅Δ+Δ+− δδδ

Page 6: AVR/PSS Structure by Terminal Voltage Phasor

7 Oleg N. Agamalov / AASRI Procedia 2 ( 2012 ) 2 – 7

=

°=Δ= δ °=Δ= δ

( )( ) ( )δδδ Δ=Δ+Δ

= ( )δδ

δ Δ=Δ+

Δ

δΔ

∈+<<+