penPowerNet The Power Supply and Engine Simulation Program Calculation of Magnetic Flux Density Beijing Starbamboo Tech. penPowerNet Calculation of magnetic flux density 1. Simulation with OpenTrack and OpenPowerNet. 2. Determination of maximum sum catenary current at given position. 3. Calculation of magnetic flux density at the time of maximum sum catenary current. 4. Additional analysis of maximum magnetic flux density at specified point. penPowerNet km 3.600 A B C given position for magnetic flux density calculation Substation D E F OpenTrack infrastructure 1. Simulation with OpenTrack and OpenPowerNet penPowerNet s u m c a te n a ry c u rre n ts a t k m 3 .6 700 maximum sum catenary current at 10:37:28 600 500 400 I in A 300 a b s (I) in A 200 100 0 -1 0 0 2. Determination of maximum sum catenary current at given position (km 3.600) 11:30:00 11:15:00 11:00:00 10:45:00 10:30:00 -2 0 0 penPowerNet Magnetic Flux Density Currents high in m in µT sum catenary currents = 574,45 A distance in m 3. Calculation of magnetic flux density at time of maximum sum catenary current at km 3.600 penPowerNet Additional analysis of maximum magnetic flux density at specified point Check of magnetic flux density at each time of current peaks. penPowerNet s u m c a te n a ry c u rre n ts a t k m 3 .6 700 maximum magnetic flux density at specified point 11:26:34 600 500 400 I in A 300 a b s (I) in A 200 100 0 -1 0 0 4. Determine time of peak sum catenary current at given position (km 3.600) 11:30:00 11:15:00 11:00:00 10:45:00 10:30:00 -2 0 0 penPowerNet Magnetic Flux Density Currents high in m in µT specified point sum catenary currents = 548,68 A distance in m 4. Calculation of magnetic flux density at time of peak sum catenary current at km 3.600 penPowerNet Simulated magnetic flux density at specified point Simulated magnetic flux density in µT maximum sum current 0.46 maximum value 0.73 • Maximum sum catenary current does not correspond with maximum value of magnetic flux density, caused by complex combinations. • It is possible to determine the maximum magnetic flux density because of the calculated data by OpenPowerNet. penPowerNet Verification of calculation results by measurement by use of scheduled timetable and estimated train characteristics penPowerNet C o m p a re M e a s u re d a n d S im u la te d C u rre n ts a t S u b s ta io n two scheduled trains accelerate at same time current peak caused by the two trains 14 12 600 10 400 8 200 6 0 4 -2 0 0 2 I in A 800 -4 0 0 1 0 :3 0 1 0 :4 5 1 1 :0 0 Isim u la te d in A Im e a su re in A Compare measured and simulated currents at substation 1 1 :1 5 T ra in s T ra in s 0 1 1 :3 0 Position in km 1000 penPowerNet Compare Measured and Simulated Currents at Substation • Different time characteristic because of slightly delayed trains compared with scheduled timetable • Similarly values of current peaks • About same base load current • Same characteristic of measured and simulated currents penPowerNet Compare maximum measured and simulated magnetic flux density at measuring point maximum magnetic flux density in µT Measurement Simulation 0.67 0.73 • Good correspondence of measured and simulated maximum values nevertheless the unknown real train dynamics.