EPS 2020 03 solution

Pagina 1

Exercise 1 0N Demand data N20000300000PD 0.97cosphiD - leading N505100Vsupply Electric line data 3Rl 10Xl Namenplate data of SM 5400Vn Triangle 600000AnG 5900E0M 550000PmaxT 21Xs 5Rs Solution Load 75187.09tan acos cosphiDPDQD 35.01Vsupply3 2QD2PDI Solution of the grid part 11032.652IRl3Ploss W 36775.512IXl3Qloss var 5103.11PlossPDPG W 38411.58QlossQDQG var 5103.132QG2PGAG VA 5167.89I3 AGVG V 3 Feb 2021 18:07:54 - solution_1.sm 1 / 2 Solution of the SM part 20.06VG3 PGIreG 2.48VG3 QGIimGA A i433.695216.17IimGiIreGXsiRsVGE0 V 0.975400 1E05234.17E0 V 0.08arg E0δ rad Check Cap curve 64.15Vn3 AnGIn 35.012IimG2IreG3IG 317161.9041 2 3 IGRs3PGPm stator limit 1InIG rotor limit 1E0ME0 Turbine limit 1PmaxTPm 12 πδStability limit Qmax Stator limit 513087.40872PG2AnGQmax_st Rotor limit - approximation 0.9914asin E0MXs3 PGδmax 2266791.536cos δmaxVGE0MXs VG3Qmax_rot 513087.4087min Qmax_rotQmax_stQmax 3 Feb 2021 18:07:54 - solution_1.sm 2 / 2 Im xiRe xconj x Exercise 2 0N Network data N0.001 0.025 xL1 0.05 xL2 4PG 1.02 VGref N0.1 6PD1 0.94 cosfiD1 - lagging 0.5 PD2 0.94 cosfiD2 - leading N0.01 1.0 VEGref Y matrix ixL2 10ixL2 1 0ixL1 1 ixL1 1 ixL2 1 ixL1 1 ixL2 1 ixL1 1 Y i20 0i20 0i40 i40 i20 i40 i60 Y 60 11 YY11 40 12 YY21 20 13 YY31 40 21 YY12 40 22 YY22 023 YY32 20 31 YY13 032 YY23 20 33 YY33 1.57 arg 11 Yθ11 1.57 arg 12 Yθ21 1.57 arg 13 Yθ31 1.57 arg 21 Yθ12 1.57 arg 22 Yθ22 00θ32 1.57 arg 31 Yθ13 1.57 arg 33 Yθ33 00θ23 3 Feb 2021 18:08:35 - solution_2.sm 1 / 4 Bus types 1 - SLACK 1VEGref v1 0δ1 2 - PQ 6PD1 p2 2.1777 tan acos cosfiD1 PD1 q2 3 - PV 3.5 PD2 PG p3 1.02 VGref v3 Starting profile 1v2_0 0δ2_0 0δ3_0 DC PF 20 0 040 Im 33 Y 23 Y 32 Y 22 Y B 0.175 0.15 p3 p2 1BδPF Update phases 0.15 1 δPF δ2_0 0.175 2 δPF δ3_0 Newton-Rhapshon Residues 5.9775 cos θ21 δ1 δ2_0 Y21 v1 p2_calc1…