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An Analysis of a Stationary Copper Cathode Spot using Power Input to the Cathode

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... Integrating the energy conservation equation for plasma gives this expression. Solving the equation of motion will be as follows [3,4]. ...
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In vacuum breakers, the instability phenomenon occurs in the arc current at a current value before current cutting is generated. This arc phenomenon sometimes causes a current cutting due to this arc phenomenon. Therefore, it is the purpose of this report to capture the instability phenomenon due to vacuum arc discharge in the small-current arc region when cupper electrodes are used. A cathode spot model where a collision less sheath and collision plasma was connected to each other was constructed. A unique solution to the arc current (independent variable of discharge phenomenon) was obtained by simulation of dichotomy. As a result, it was supposed that the current that gives a real solution has a lower limit, the electrons that back-diffused from the collision plasma in cathode ion sheath exceed the ion under 19 A and the cathode spot that requires the existence of the ion sheath as a necessary antecedent or precondition does not exist anymore. It was concluded the non-existence of the cathode spot is connected the current instability phenomenon.
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