[marco.pau, paolo.pegoraro, sara.sulis]@diee.unica.it

ENERGYCON 2014 • May 13-16, 2014 • Dubrovnik, Croatia

978-1-4799-2449-3/14/$31.00 ©2014 IEEE 420

= ( ) +

T Σz

J( ) = ‖ − ( )‖ 1

2

= [ − ( )]T [ − ( )]

Σz

T Δ = T [ − ( n−1)]

ΔεA = εTA

+ εSA+ εtb

εB = εTB+ εSB

+ εtb

εA εBεTi

i = A,B

εSii = A,B

εtb

εA εB

E[εAεB] = E[(εTA+ εSA

+ εtb)(εTB+ εSB

+ εtb)]

= E[ε2tb] = σ2tb

εTAεTB

εSAεSB

εtb

σ2i � E[ε2i ] = σ2

Ti+ σ2

Si+ σ2

tb

i = A,B

σTA= σTB

σSA= σSB

ENERGYCON 2014 • May 13-16, 2014 • Dubrovnik, Croatia

978-1-4799-2449-3/14/$31.00 ©2014 IEEE 421

ρA,B =E[εAεB]

σAσB

=σ2tb

σ2T + σ2

S + σ2tb

=1

1 + (σ2T + σ2

S) /σ2tb

Vd =1

3(V1 + V2e

j 2π

3 + V3e−j 2π

3 )

Vi i = 1, 2, 3

εtb εTiεSi

i

εTiεSi

i

ρ+A,B =1

1 + (σ2T + σ2

S) /3σ2tb

σV σI σθ σα

ρ

ΣzPMU=

[δδ

]×

⎡⎢⎢⎣

σ2V 0 0 00 σ2

θ 0 ρσθσα

0 0 σ2I 0

0 ρσθσα 0 σ2α

⎤⎥⎥⎦×

[δδ

]T

δδ

θ Ir IxIr Ix

θ α

[δδ

]=

⎡⎢⎢⎢⎢⎣

δVδV

δVδθ

δVδI

δVδα

δθδV

δθδθ

δθδI

δθδα

δIrδV

δIrδθ

δIrδI

δIrδα

δIxδV

δIxδθ

δIxδI

δIxδα

⎤⎥⎥⎥⎥⎦=

⎡⎢⎢⎣

1 0 0 0

0 1 0 0

0 0 cosα −I sinα

0 0 sinα I cosα

⎤⎥⎥⎦

σ2V = σ2

V

σ2θ = σ2

θ

σ2Ir

= σ2I cos

2 α+ σ2αI

2x

σ2Ix

= σ2I sin

2 α+ σ2αI

2r

σIrIx = σ2I sinα cosα− σ2

αIrIx

σθIr = −ρ σθσαIx

σθIx = ρ σθσαIr

σIr1Ir2 = ρ σα1σα2Ix1Ix2

σIr1Ix2= −ρ σα1σα2Ix1Ir2

σIx1Ix2= ρ σα1σα2Ir1Ir2

ENERGYCON 2014 • May 13-16, 2014 • Dubrovnik, Croatia

978-1-4799-2449-3/14/$31.00 ©2014 IEEE 422

• 0.1 %• 0.1 0.1·10−2

NMC = 50000 6 %

ENERGYCON 2014 • May 13-16, 2014 • Dubrovnik, Croatia

978-1-4799-2449-3/14/$31.00 ©2014 IEEE 423

10−5 10−5 10−5 10−4

5.1% 0.7% 9.7% 57.2%

50 %

ENERGYCON 2014 • May 13-16, 2014 • Dubrovnik, Croatia

978-1-4799-2449-3/14/$31.00 ©2014 IEEE 424

10−4

10−4

10−4

10−4

1.7% 0.5% 25.4% 39.2%

ENERGYCON 2014 • May 13-16, 2014 • Dubrovnik, Croatia

978-1-4799-2449-3/14/$31.00 ©2014 IEEE 425