Approximate Crank–Nicolson Schemes for the 2-D Finite-Difference Time-Domain Method for<tex>$rm TE_z$</tex>Waves

2004 ◽  
Vol 52 (11) ◽  
pp. 2963-2972 ◽  
Author(s):  
G. Sun ◽  
C.W. Trueman
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Time Domain Method ◽  
Domain Method ◽  
Difference Time ◽  
Crank Nicolson

scholarly journals Analysis of Metal Oxide Varistor Arresters for Protection of Multiconductor Transmission Lines Using Unconditionally-Stable Crank–Nicolson FDTD

Energies ◽  
2020 ◽  
Vol 13 (8) ◽  
pp. 2112 ◽  
Author(s):  
Erika Stracqualursi ◽  
Rodolfo Araneo ◽  
Giampiero Lovat ◽  
Amedeo Andreotti ◽  
Paolo Burghignoli ◽  
...  
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Computation Time ◽  
Numerical Approach ◽  
Time Domain Method ◽  
Added Value ◽  
Domain Method ◽  
Difference Time ◽  
Crank Nicolson

Surge arresters may represent an efficient choice for limiting lightning surge effects, significantly reducing the outage rate of power lines. The present work firstly presents an efficient numerical approach suitable for insulation coordination studies based on an implicit Crank–Nicolson finite difference time domain method; then, the IEEE recommended surge arrester model is reviewed and implemented by means of a local implicit scheme, based on a set of non-linear equations, that are recast in a suitable form for efficient solution. The model is proven to ensure robustness and second-order accuracy. The implementation of the arrester model in the implicit Crank–Nicolson scheme represents the added value brought by the present study. Indeed, its preserved stability for larger time steps allows reducing running time by more than 60 % compared to the well-known finite difference time domain method based on the explicit leap-frog scheme. The reduced computation time allows faster repeated solutions, which need to be looked for on assessing the lightning performance (randomly changing, parameters such as peak current, rise time, tail time, location of the vertical leader channel, phase conductor voltages, footing resistance, insulator strength, etc. would need to be changed thousands of times).

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