Memristive fingerprints of electric arcs

Abstract

We discuss the memristive fingerprints of the hybrid Cassie-Mayr model of electric arcs. In particular, it is shown that (i) the voltage-current characteristic of the model has the pinched hysteresis nature, (ii) the voltage and current zero crossings occur at the same instants, and (iii) when the frequency f of the power supply increases, the voltage-current pinched hysteresis characteristic tends closer to a single-valued one, meaning that the voltage-current graph becomes that of a resistor (with an increased linearity for f → ∞). The conductance g of the Cassie-Mayr model decreases when the frequency increases. The hybrid Cassie-Mayr model describes therefore an interesting case of a memristive phenomenon.

Memristive circuits and their Newtonian models $ϕ''=F(t,ϕ,ϕ')/m$ with memory

“…For that reason mem-elements attract interests of dynamical systems analysts, mathematicians (including numerical researchers) and computer engineers. Last, but not least, mechanical memristors are becoming important elements in mechanical and electro-mechanical devices [12,13] and memristive fingerprints occur in electro-mechanical Cassie-Mayr welding arcs models [14,15]. This paper further expands the notion of equivalence between electrical and mechanical elements and devices, as it provides explicit formulae for the force quantity F in φ ′′ (t) = F (t, φ, φ ′ )/m, the second Newton's law, for memristive Chua's circuits and other similar circuits with mixed-mode oscillations.…”