各元件参数:Xol1=j0.369
Ω/km
L1=5.8km
T1:
SNT1=20000kvA
Xol2=j0.077
Ω/km
L2=3.68kmUd1%=8.7
Xol3=j0.1070
Ω/km
L2=4.195kmT2:
SNT2=500kvA
Xol4=j0.078
Ω/km
L3=1.0kmUd2%=4
Xol5=j0.078
Ω/km
L4=0.96km
Xol6=j0.078
Ω/km
L5=0.008km
Xol7=j0.095
Ω/km
L6=0.009km
Xol8=j0.078
Ω/km
L7=0.015km
Xol9=j0.078
Ω/km
L8=0.055km
Xol10=j0.078
Ω/km
L9=0.015km
Xo11=j0.095
Ω/km
L10=0.017km
Xo12=j0.1010
Ω/km
L11=0.007km
取基准容量Sj=100MVA,基准电压Uj1=37kV,Uj2=10.5kV,Uj3=0.69kV
故基准电流
Ij1=Sj3Uj1=100MvA3×37kv=1.5604
kA
Ij2=Sj3Uj2=100MvA3×10.5kv=5.4986
kA
Ij3=Sj3Uj3=100MvA3×0.69kv=83.6740
kA
短路电路中各元件的电抗标幺值:
XL1*=Xol1∙L1∙SjUj12=0.369×5.8×100372=0.1563
XL2*=Xol2∙L2∙SjUj22=0.077×3.68×10010.52=0.257
XL3*=Xol3∙L3∙SjUj22=0.1070×4.195×10010.52=0.4071
XT1*=Ud1%100∙SjSNT1=8.7100×10020000×10-3=0.4350
XT2*=Ud2%100∙SjSNT2=4100×100500×10-3=8.0000
XL4*=Xol4∙L4∙SjUj32=0.078×1.0×1000.692=16.3831
XL5*=Xol5∙L5∙SjUj32=0.078×0.96×1000.692=15.7278
XL6*=Xol6∙L6∙SjUj32=0.078×0.008×1000.692=0.1311
XL7*=Xol7∙L7∙SjUj32=0.078×0.009×1000.692=0.1796
XL8*=Xol8∙L8∙SjUj32=0.078×0.015×1000.692=0.2457
XL9*=Xol9∙L9∙SjUj32=0.078×0.055×1000.692=0.9011
XL10*=Xol10∙L10∙SjUj32=0.078×0.015×1000.692=0.2457
XL11*=Xo11∙L11∙SjUj32=0.095×0.017×1000.692=0.3392
XL12*=Xol12∙L12∙SjUj32=0.1010×0.007×1000.692=0.1458
(1)“d1”点发生三相接地短路时:
XΣ1*=XL1*+XT1*
=0.1563+0.4350=0.5913
三相短路电流周期分量有效值:
Id1(3)=Ij2XΣ1*=5.4986kA0.5913=9.299kA=9299A
三相短路冲击电流:Ish1(3)=1.84×9299A=17110.47
A
两相短路电流周期分量有效值:
Id1(2)=32Id1(3)=32×9299A=8053.17
A
(2)”d2”点发生三相接地短路时:
XΣ2*=XL1*+XT1*+XL2*
=0.1563+0.4350+0.257
=0.8483
三相短路电流周期分量有效值:
Id2(3)=Ij2XΣ2*=5.4986kA0.8483=6.4819kA=6481.9A
三相短路冲击电流:Ish2(3)=1.84×6481.9A=11926.71
A
两相短路电流周期分量有效值:
Id2(2)=32Id2(3)=32×6481.9A=5613.5
A
(3)当”d3”点发生三相接地短路时:
XΣ3*=XL1*+XT1*+XL2*+XL3*+XT2*+XL5*=0.1563+0.4350+0.4071+0.257+8.0000+15.7278
=24.9832
三相短路电流周期分量有效值:
Id3(3)=Ij3XΣ3*=83.6740kA24.9832=3.3492kA=3349A
三相短路冲击电流:Ish3(3)=1.84×3349=6162.16
A
两相短路电流周期分量有效值:
Id3(2)=32Id3(3)=32×3349=2900.3
A
(4)当”d4”点发生三相接地短路时:
XΣ4*=XL1*+XT1*+XL2*+XL3*+XT2*+XL5*+XL6*+XL8*
=0.1563+0.4350+0.4071+0.257+8.0000+15.7278+0.1311+0.2457
=25.36
三相短路电流周期分量有效值:
Id4(3)=Ij3XΣ2*=83.6740kA25.36≈3299A
三相短路冲击电流:Ish4(3)=1.84×3299=6070.16
A
两相短路电流周期分量有效值:
Id4(2)=32Id4(3)=32×3299=2857.02
A
(5)当”d5”点发生三相接地短路时:
XΣ5*=XL1*+XT1*+XL2*+XL3*+XT2*+XL5*+XL6*+XL10*
=25.36
三相短路电流周期分量有效值:
Id5(3)=Ij3XΣ2*=83.6740kA25.36≈3299A
三相短路冲击电流:Ish3(3)=1.84×3299A=6070.16
A
两相短路电流周期分量有效值:
Id3(2)=32Id5(3)=32×3299=2857.02
A
(6)当”d6”点发生三相接地短路时:
XΣ6*=XL1*+XT1*+XL2*+XL3*+XT2*+XL5*+XL7*+XL11*
=0.1563+0.4350+0.4071+0.257+8.0000+16.3831+0.1796+0.3392
=25.502
三相短路电流周期分量有效值:
Id6(3)=Ij3XΣ6*=83.6740kA25.502≈3.281
kA=3281
A
三相短路冲击电流:Ish6(3)=1.84×3281=6037.04
A
两相短路电流周期分量有效值:
Id6(2)=32Id6(3)=32×3281=2841.43
A