Zm. Alhamouz, ADAPTIVE FINITE-ELEMENT BALLOONING ANALYSIS OF BIPOLAR IONIZED FIELDS, IEEE transactions on industry applications, 32(6), 1996, pp. 1266-1277
This paper presents an adaptive finite-element iterative method for th
e analysis of the ionized field around bipolar high-voltage direct-cur
rent (HVDC) transmission line conductors without resort to Deutsch's a
ssumption. A new iterative finite-element ballooning technique is used
to solve Poisson's equation wherein the commonly used artificial boun
dary around the transmission line conductors is simulated at infinity.
Unlike all attempts reported in the literature for the solution of io
nized field, the constancy of the conductors' surface field at the cor
ona onset value is directly implemented in the finite-element formulat
ion. In order to investigate the effectiveness of the proposed method,
a laboratory model was built. It has been found that the calculated V
-I characteristics and the ground-plane current density agreed well wi
th those measured experimentally, The simplicity in computer programmi
ng in addition to the low number of iterations required to achieve con
vergence characterize this method of analysis.