This study presents self-consistent models of streamer growth using an equivalent
electrical network, the only input data being the electrode geometry and the applied voltage
waveform. The growth of filamentary and bushlike discharge structures are simulated. The
initiation and the development of streamers are taken into account using field criteria. The
streamer instantaneous propagation velocity is obtained using a model based on energetic
considerations. In the case of filamentary streamers, each branch is assumed to be a
cylindrical channel represented by an R
C cell (R and C are, respectively, the resistance and
the capacitance associated with each branch). The hazardous discharge propagation is also
taken into account. In the case of bush-like structures, the envelope of streamers is
assumed to be approximately spherical. For given experimental conditions (such as applied
voltage and electrode geometry), we determine the streamer characteristics such as the
shape and amplitude of the streamer current, the electrical charge, the velocity, power and
energy injected in the gap. The developed models also enable the simulation of an image
converter working in streak or frame mode and the streamer trajectory plotted in real time.
An estimate of the pressure within bushlike streamer envelope is given. A good agreement
between computed and experimental results has been obtained.