Abstract
We present a model for streamer coronas emerging from a spherical electrode at high electrostatic potential. By means of a macroscopic streamer model and approximating the corona as a set of identical streamers with a prescribed spatial distribution around the electrode, we establish that coronas more densely packed with streamers are slower and more efficient at screening the electric field inside the streamers. We also apply our model to investigate the electrostatic potential at the boundary of the corona sheath that surrounds a leader and we underline the relevance of the rise-time of the leader potential during a leader step.
Highlights
When a sharp electrode such as a needle or a wire is subjected to a high electric potential it ignites a type of electrical discharge called corona
We present a model for streamer coronas emerging from a spherical electrode at high electrostatic potential
All the initial conditions and simulation parameters are shown in table 1: we consider a positive streamer corona emerging from a spherical electrode that is live with a potential of 50 kV
Summary
When a sharp electrode such as a needle or a wire is subjected to a high electric potential it ignites a type of electrical discharge called corona Depending on conditions such as electrode geometry and rise time of the potential, the discharge may exhibit a variety of forms [1, 2]. As our purpose is only to obtain a qualitative understanding of the corona dynamics around the leader, we mimicked the leader tip as a spherical electrode with radius 2 cm on which we apply a potential V (t) = V0 (1 - exp(-t trise)) with V0 = 1 MV and trise = 100 ns This dependence is an approximation to the rise of the potential at the leader tip after a leader step. These parameters approximate the characteristics of a streamer burst around a laboratory leader (see e.g. [56])
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