Analytical simulation of current effect on radiation energy emitted from high current wall-stabilized arcs

In order to know the effect of the arc current on the radiation power, an analytical simulation of the radiation or the lighting energy emitted from stabilized arcs has been made using an analytical relation between voltage gradient E and arc current I. Under the condition that the continuous spectrums are stronger than line ones, the radiation power is proportional to the square of electron density. When E-I curves are denoted as E=f(I)∝I^m, the radiation power Φ can be expressed as Φ∝I^2(1-m), where 2(1-m) is 2.7 for I<10 A, 2 for I=10~100 A and 1.2 for I>1000 A. These simulated exponents fairly agreed with the experimental ones in Ar and SF₆ high current stabilized arcs at 1 atm