In this paper, we present a contribution to the electrical modeling of positive dc point-to-plane corona discharges in dry air (20%O 2 and 80%N 2 ) at atmospheric pressure. The electrical equivalent circuit of the proposed model is regarded as a variable resistor in series with a variable capacitor. The evolutions of the electrical parameters are obtained using a mathematical method of identification based on the recursive least squares algorithm. For the same experimental conditions, the comparison between the measured discharge current and the calculated currents obtained using the identified electrical parameters of the proposed equivalent model shows good agreement, which validates the model as well as the method of identification. To validate this work, results and discussions are given in two different operating points.Index Terms-Corona discharges, dry air, electrical modeling, point-to-plane plasma reactor, recursive least squares algorithm (RLSA).

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Key words Positive point to plane corona discharges, electrical modelling, recursive least square (RLS) algorithm.In this paper, we present a contribution to the electrical modelling of corona discharges in point to plane positive dry air at atmospheric pressure. An equivalent circuit model of the discharge is proposed and the evolution of equivalent electrical parameters is obtained using a mathematical method of identification based on the Recursive Least Square (RLS) algorithm. A comparison between the forms of measured discharge current and calculated model currents shows a good agreement and validates the model as well as the method.

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Electricity consumption is increasing gradually and this trend will continue in the future. In addition, rapid network control systems using the resources offered by power electronics and control microelectronics have been recently studied and developed, and are currently in normal application for some, for others, in pilot applications or as prototypes. This paper attempts to show that these systems are referred to by the general acronym flexible alternative current transmission systems (FACTS) similarly dethroned the traditional systems while offering better solutions and solving the energy quality problem such as the hybrid system (unified power flow controller (UPFC), or universal phase shifter regulator (UPSR)) which opens up new perspectives for more efficient operation of networks by continuous and rapid action on the various parameters of the network (voltage, phase shift, and impedance); thus, the power transits will be better controlled and the voltages better held, which will make it possible to increase the stability margins or tend towards the thermal limits of the lines. In this work, we used a classic control (PI-decoupled) and others while offering more flexibility of control thanks to the development of strategies identification/control based on generalized predictive control (GPC) with neural network to ensure robust control with advanced algorithms.