Open AccessAccelerating the charge inversion algorithm with hierarchical matrices for gas insulated systems
Author(s) -
Francesco Lucchini,
N. Marconato
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012136
Subject(s) - inversion (geology) , charge density , algorithm , voltage , electrostatics , surface charge , computer science , representation (politics) , dielectric , materials science , electrical engineering , engineering , chemistry , physics , optoelectronics , geology , paleontology , quantum mechanics , structural basin , politics , law , political science
Surface charges accumulating on dielectrics during long-time operation of Gas Insulated High Voltage Direct Current (HVDC-GIS) equipments may affect the stable operation and could possibly trigger surface flashovers. In industrial applications, to quantify and identify the location of the surface charge accumulation from experimental measurements, the surface potential distribution is evaluated using, e.g., electrostatic probes, then the charge density is determined by solving an electrostatic problem based on an inversion procedure known as Charge Inversion Algorithm. The major practical limitation of such procedure is the inversion and the storage of the fully dense matrix arising from the representation via Integral Equations of the electrostatic phenomenon, resulting in O ( N 3 ) computational complexity and O ( N 2 ) memory requirement. In this paper it is shown how hierarchical matrices can be efficiently used to accelerate the charge inversion algorithm and, more importantly, reduce the overall memory requirement.