Instrumentation & Measurement Magazine 24-4 - 99

Fig. 4. The diagram of the composite model of the high-speed train.
Table 1 - Relevant parameters of the train model
Name
Parameter Name
Resistance
Inductance
TB
Capacitance
Resistance
Between TBs
Length
Resistance
Inductance
Steel Rail
Capacitance
Leakage
conductance
Transformer
Protective
Earthing
Working
Earthing
Equivalent
Resistance
Resistance
Resistance
Parameter Value
0.225 mΩ
1103.375×10−6
mH/m
1007011.316×10−11
6.400 mΩ
25 m/TB
1.367×10−1
mΩ/m
429.718×10−6
603.384×10−7
mH/m
μF/m
0.010 mS/m
2.941 Ω
0.050 Ω
 

0.050 Ω
 
 dt 
dgC

 
 
 1.5
g
dgM
dt







1
M
CC
150g
i
101.25
11 1
gg g
 
CM
Simulation Results of the High-speed Train
Model
Fig. 5. Model of the PCA generation.
where gC
, θC, gM, and θM
stants of Mayr and Cassie Model, respectively [20]. uC
are the voltage, current, and dissipative power of arc. P0
sumed to be constants in (3). By modifying the P0
more realistic PCA model can be obtained:
June 2021
are the conductance and the time con,
i, and P0
is as[21]-[23],
a
The simulation results show that the distribution of TB voltage
is uniform when the high-speed train is running (the switch
is closed). The maximum difference of TB voltage (from the
head to the tail of the train, total length is 400 m) is only 0.0036
V, which can be neglected. However, the pantograph will be
separated from the power supply line after the train stops
(the switch is opened). At this moment, the overvoltage from
the PCA is transmitted from the pantograph to the TBs. Then,
it propagates along both sides of those TBs and gradually
IEEE Instrumentation & Measurement Magazine
99
M .
(4)
1
i
 gC
2
④ PCA Model
②
μF/m
①
Railway
Traction
Substations
High Voltage
Cable
③ Pantograph
No.
Table 2 - Relevant parameters of the
model of the PCA generation
Name
Parameter
Name
Voltage
Resistance
Inductance
Resistance
Inductance
Capacitance
Parameter Value
25 KV/50 Hz
0.165 Ω
10.800 mH
0.014 mΩ/m
131.093×10−6
41.162×10−5
mH/m
μF/m
The opened switch means that the
pantograph is separated from the
power supply line.
There is a mathematical model of
PCA inside.

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