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.