Table 1 Parameter descriptions and values

S_n1/S_n3

The nominal power of Generator 1 and 3

2000

MVA

S_n2/ S_n4

The nominal power of Generator 2 and 4

1400

MVA

V_n1~ V_n4

The nominal voltage of Generator 1 ~ 4

13.8

kV

\( {x}_{d1}^{\prime}\sim {x}_{d4}^{\prime } \)

The transient reactance of Generator 1 ~ 4

0.296

x _d3

The reactance of the infinite system

1.5E-4

H

f _n

The nominal frequency of the system

60

Hz

S_T1/S_T3

The nominal power of Transformer 1 and 3

2100

MVA

S_T2/S_T4

The nominal power of Transformer 2 and 4

1400

MVA

k_T1~k_T4

The transformer ratio of Transformer 1 ~ 4

13.8/500

S_m/S_a

The nominal power of the main and auxiliary converter

100

MVA

x_se1/x_se2

The reactance of the main and auxiliary converter

0.26

H

k_ϕp1/ k_χp1

The proportional gain of main controller

3.75E-3

k_ϕi1/ k_χi1

The integral gain of main controller

0.1875

k _ϕp2

The proportional gain of DC voltage controller of the auxiliary converter

3.75E-3

k _ϕi2

The integral gain of DC voltage controller of the auxiliary converter

0.1875

k _χp2

The proportional gain of injected voltage controller of the auxiliary converter

1E-4

k _ϕi2

The integral gain of injected voltage controller of the auxiliary converter

2E-2

U _dcref

The nominal voltage of DC

40,000

V

C _dc

The total equivalent capacitance of DC link

3.75E-4

F

x_ik1/ x_ik2

The reactance of the line between bus i and k

0.14

H

x_jl1/ x_jl2

The reactance of the line between bus j and l

0.14

H

x _km

The reactance of the line between bus k and m

0.047

H

x _ln

The reactance of the line between bus l and n

0.047

H

S_load1/ S_load5

The active power of load 1 and 5

250

MW

S_load2/ S_load6

The active power of load 2 and 6

100

MW

S_load3/ S_load7

The active power of load 3 and 7

2200

MW

S_load4/ S_load8

The active power of load 4 and 8

50

MW

T ₁

parameters of SDC

0.021

T ₂

parameters of SDC

0.665