7/21/2019 Chapter 23 (Cross Curves of Stability)

1/9

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C[DSS C_[POS D@ S^MKHBH^X

Ymfo =d` 8

Cemptor;3

Crdss curvos d` stmkhbhty

Oxorchso -;9

Maswor =

Fhvoa Mssughaf JF 7 =9 g

@SC 7 @SGV

@SC 7 8999

39999

@SC 7 9.3 g

JF(`) 7 JF(s) + @SC

JF(`) 7 =9.853 + 9.3

JF(`) 7 ==.;53 g

JG 7 JF(`) + FG

=3.530 7 ==.;53 + FG

;.??3 7 FG

Eoob fz - fF * Sha 7 F\(g)

9 9 - 9 7 9.999

=9 =.5 - 9.;;;5 7 =.?66

;9 3.= - 9.>355 7 ;.00=

39 3.8? - 9.0>=? 7 3.398

>? >.=? - 9.896; 7 3.;>3

09 3.0 - =.==== 7 ;.>58

6? ;.;? - =.;383 7 =.9==

7/21/2019 Chapter 23 (Cross Curves of Stability)

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CEMY^O[;3

C[DSS C_[POS D@ S^MKHBH^X

Ymfo ;d` 8

Hahthmb FG 7 8g

Maswor ;

Fhvoa9?99 t

; JF 7 5.8;? g

3 @SG 7 >635 tg

> Mssughaf JF 7 =9 g

@SC 7 @SG

V

@SC 7 >635

>9?99

@SC 7 9.==6 g

JF(`) 7 JF(s) + @SC

JF(`) 7 5.8;? + 9.==6

7/21/2019 Chapter 23 (Cross Curves of Stability)

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CEMY^O[;3

C[DSS C_[POS D@ S^MKHBH^X

Ymfo 3d` 8

JF(`) 7 8.9>; g

JG 7 JF(`) + FG

=0.=;> 7 8.9>; + FG

6.95; 7 FG

Eoob fz + fF * Sha 7 F\(g)

9 9.999 + 9 7 9.999

=9 =.;99 + 9.=00> 7 =.300

;9 ;.3?9 + 9.3;66 7 ;.065

39 3.3?9 + 9.>689 7 3.5;8

>? >.999 + 9.066> 7 >.066

09 3.099 + 9.5;86 7 >.>39

6? ;.=?9 + 9.8;?> 7 3.96?

Nocj onfo hggorshda tmjos pbmco mt ;9

7/21/2019 Chapter 23 (Cross Curves of Stability)

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CEMY^O[;3

C[DSS C_[POS D@ S^MKHBH^X

Ymfo >d` 8

Maswor 3

Fhvoa>>> tg

> Mssughaf JF 7 =9 g

@SC 7 @SG

V

@SC 7 >>>>

;9;99

@SC 7 9.;; g

JF(`) 7 JF(s) + @SC

JF(`) 7 8.65 + 9.;;

JF(`) 7 =9 g

JG 7 JF(`) + FG

;0.>0> 7 =9 + FG

=0.>0> 7 FG

Eoob fz - fF * Sha 7 F\(g)

9 9.999 - 9 7 9.999

=9 ;.899 - 9.9999 7 ;.899

;9 >.;99 - 9.9999 7 >.;99

39 >.0?9 - 9.9999 7 >.0?9

>? >.;99 - 9.9999 7 >.;99

09 3.3?9 - 9.9999 7 3.3?9

6? ;.=?9 - 9.9999 7 ;.=?9

7/21/2019 Chapter 23 (Cross Curves of Stability)

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CEMY^O[;3

C[DSS C_[POS D@ S^MKHBH^X

Ymfo ?d` 8

Gmxhgug F\ d` >.06g tmjos pbmco mt 39

Maswor >

Fhvoa Mssughaf JF 7 =9 g

@SC 7 @SG

V

@SC 7 ?=;8

??999

@SC 7 9.9833 g

JF(`) 7 JF(s) + @SC

7/21/2019 Chapter 23 (Cross Curves of Stability)

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CEMY^O[;3

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Ymfo 0d` 8

JF(`) 7 =9.08= + 9.9833

JF(`) 7 =9.65> g

JG 7 JF(`) + FG

=>.939 7 =9.65> + FG

3.;>0 7 FG

Eoob fz - fF * Sha 7 F\(g)

9 9.99 - 9 7 9.999

=9 9.69 - 9.=30; 7 9.?0>

;9 =.0? - 9.;05; 7 =.35;

39 ;.59 - 9.38;= 7 ;.>95

>? 3.5? - 9.??>0 7 3.;8?

09 3.;9 - 9.068; 7 ;.?;=

6? ;.99 - 9.6?6? 7 =.;>;

7/21/2019 Chapter 23 (Cross Curves of Stability)

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CEMY^O[;3

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Ymfo 6d` 8

[mafo d` stmkhbhty hs 9 td 55

Maswor ?

Fhvoa3 g

3 @SG 7 >;99 tg

> Mssughaf JF 7 =9 g

@SC 7 @SG

V

@SC 7 >;99

09999

@SC 7 9.96 g

JF(`) 7 JF(s) + @SC

7/21/2019 Chapter 23 (Cross Curves of Stability)

8/9

CEMY^O[;3

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Ymfo 5d` 8

JF(`) 7 8.;>3 + 9.96

JF(`) 7 8.3=3 g

JG 7 JF(`) + FG

=3.003 7 8.3=3 + FG

>.3?9 7 FG

Eoob fz + fF * Sha 7 F\(g)

9 9.99 + 9 7 9.999

=9 9.0? + 9.==83 7 9.608

;9 =.09 + 9.;3?9 7 =.53?

39 ;.09 + 9.3>3? 7 ;.8>>

>? 3.0? + 9.>5?5 7 >.=30

09 3.=9 + 9.?8?9 7 3.08?

6? =.89 + 9.0030 7 ;.?0>

F\ mt 3? eoob 7 3.>g

7/21/2019 Chapter 23 (Cross Curves of Stability)

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CEMY^O[;3

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Ymfo 8d` 8

Gdgoat d` stmthcmb stmkhbhty 7 F\ * nhspbmcogoat

Gdgoat d` stmthcmb stmkhbhty 7 3.> * 09999

Gdgoat d` stmthcmb stmkhbhty 7 ;9>999tg

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