## 1 Introduction  
Repetitive gas-discharge plasma has great potential, and the increasing scope of its applications highlights the growing importance of pulsed-power supplies. The performance of these supplies relies on their switching devices, which serve as crucial components while also acting as bottlenecks that prevent the system's ability to operate repetitively. Gas-discharge closing switches have exceptional voltage and power handling capabilities, a high switching rate, and simple structures, making them the primary option for high-voltage pulsed-power systems [1; 2; 3; 4; 5]. The corona stabilization effect accelerates the insulation recovery rate of gas gaps during repetitive breakdowns by suppressing premature breakdown when its insulation strength has not fully recovered. This technique has great potential to improve the upper limit of the PRFs (pulse repetitive frequencies) of the pulsed-power switches [6; 7; 5]. [PERSON] et al. were the first to introduce the corona stabilization effect into pulsed-power switches for repetitive applications and suggested the concept of a corona-stabilized switch [8]. They designed a double-cone [9] and a rod-plane [10] corona-stabilized switch, and validated its excellent repetitive performance through experimental research. [PERSON] al. designed a electromagnetic pulse generator that utilized a self-triggering corona-stabilized switch with a pins-plate electrode, operating in an atmospheric SF\({}_{6}\) environment. The generator could reach an operating voltage of 18 kV and had a repetition frequency of 2 kHz [11]. [PERSON] et al. [12] proposed a corona-stabilized switch with a multistage structure that could operate at voltages as high as 40-100 kV (adjustable by changing the switch series) and had very low discharge time jitter (\(\sim\)2 ns) at working pressures of 0-0.1 MPa. [PERSON] et al. systematically investigated the factors and mechanisms that affect the insulation recovery performance of the corona-stabilized switch, identified the factors causing the repetitive breakdown memory effect and their working principles, and proposed that insulation recovery was subject to a synergistic effect of hydrodynamic processes and memory effects [7; 13; 14; 15]. Consistency and stability of the output repetitive pulsed voltages are important performance parameters for pulsed-power switches operating in high PRF applications, which represent a technical bottleneck to improving the working efficiency and reliability of pulse-power systems. Considering the factors that affect the stability of PRFs of corona-stabilized switches and their mechanisms, [PERSON] et al. analyzed how corona discharge influences the breakdown stability of a typical rod-plane switch under DC charging conditions from the perspective of discharge delay. It was found that in the absence of corona activity, the distribution of discharge formation delay is highly dispersed (ranging from 10 to 2000 \(\upmu\)s), whereas in the presence of corona, the distribution of the discharge formation time is concentrated (around 1000 \(\upmu\)s). Therefore, corona discharge activity can significantly enhance the repetitive breakdown stability of gas switches [8]. [PERSON] et al. investigated the time jitter of a commercially available corona-stabilized switch and found that the operating pressure greatly influenced the time jitter of breakdown. By adjusting the pressure, the time jitter could be reduced to less than 5 ns [16]. [PERSON] et al. proposed a cascade corona-stabilized switch that integrated the ground electrode of the former switch with the high voltage electrode of the latter. The gap voltage distribution in the switch based on corona stabilization was studied, and it was found that changing the electrode spacing and corona emission area could alter the corona characteristics in the gap, thus improving its stabilization effect [17]. [PERSON] et al.