Shimin Yu’s research while affiliated with Wuhan University of Technology and other places

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Publications (16)


Numerical characteristics of DC breakdown and paschen curve of CF 3 I-N 2 mixtures at low pressure
  • Article

September 2024

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9 Reads

Journal of Physics Conference Series

Yifan Wu

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Hao Wu

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Jiamao Gao

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[...]

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Zhijiang Wang

In this study, the DC breakdown characteristics of CF 3 I-N 2 mixtures at low pressure are investigated and compared with those of pure CF 3 I to assess their insulating properties. Utilizing the particle-in-cell/Monte Carlo collisions (PIC/MC) model, we explore the breakdown process in detail, analyzing electron and ion kinetics across various phases. Our findings reveal that the CF 3 I-N 2 mixture exhibits a faster breakdown rate than pure CF 3 I but requires more time to achieve a steady state. Additionally, we examine the Paschen curve of CF 3 I-N 2 at varying pressures, discovering that the insulating performance improves with higher CF 3 I proportions at increased pressures. This study contributes to understanding the insulating behavior of CF 3 I-N 2 mixtures, offering insights for their application in environmentally friendly high-voltage insulation technologies.


Circuit diagram (containing the matching box and cables) used in this simulation. Vrf and Rrf represent the driving voltage provided by the rf power supply and its internal resistance, respectively. An L-type matching box is located between two cable sections. Cst, Lst and Rst are used to characterize the stray effects of the discharge chamber. The CCP itself is described by a PIC/MCC simulation and its impedance, ZCCP. P1-P5 represent five different positions in the circuit used for the analysis of the results.
Evolution of the electron density in the center of the plasma bulk (a), the effective/active power dissipated in the CCP (b) and the reflection coefficient at point P2 (c) as a function of time. Method (i) and Method (ii) refer to the two different methods of calculating the impedance at point P3 as pointed out in this section. The values of Cm1 and Cm2 are updated every 3000 RF cycles (about 221 µs). Conditions: 200 mTorr, two cables, cable I: 2 m, cable II: 1 m.
Temporal and spatial evolution of the electron density (a), average electron energy (b) and plasma potential (c). The values of Cm1 and Cm2 are updated every 3000 RF cycles (about 221 µs). Conditions: 200 mTorr, two cables, cable I: 2 m, cable II: 1 m.
Time evolution of the voltage (a) and current (b) amplitudes of the CCP and their corresponding Fourier spectrums (c) and (d) at 221 µs (solid black line) and 1326 µs (dashed red line). The values of Cm1 and Cm2 are updated every 3000 RF cycles (about 221 µs). Conditions: 200 mTorr, two cables, cable I: 2 m, cable II: 1 m.
Changes in Cm1 and Cm2 (a), ZP1 (b), ZP2 (c), ZP3 (d), ZP4 (e) and ZP5 (f) during the matching process. Conditions: 200 mTorr, two cables, cable I: 2 m, cable II: 1 m.

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Impedance matching design for capacitively coupled plasmas considering coaxial cables
  • Article
  • Publisher preview available

August 2024

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80 Reads

Capacitively coupled plasmas (CCPs) are widely used in plasma processing applications, where efficient power coupling between the radio frequency (RF) source and the plasma is crucial. In practical CCP systems, impedance matching networks (IMNs) are employed to minimize power reflection. However, the presence of coaxial cables can significantly impact plasma impedance and matching performance. We develop a comprehensive simulation framework for the IMN design of CCPs, fully considering the effects of RF coaxial cables. The model self-consistently couples a distributed transmission line (TL) model, a lumped-element circuit model, and an electrostatic particle-in-cell model. This coupled model is used to investigate the impact of coaxial cables on matching performance under various discharge conditions and cable configurations. The simulation results indicate that the optimal power transmission efficiency was achieved after 6 matching iterations. The power coupled to the CCP increased from 2.7 W before matching to 180.9 W, and the reflection coefficient ultimately decreased to 0.003. The results also reveal that neglecting the cables will lead to a decrease in the power dissipated in the CCP. The proposed method demonstrates effectiveness in achieving impedance matching for different gas pressures (75–300 mTorr) and cable lengths. It can be concluded that the matching speed is faster for an appropriate cable length. This work provides valuable insights into the role of TLs in CCP impedance matching and offers a practical tool for optimizing power delivery in realistic CCP systems with RF coaxial cables.

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Overview of the recent experimental research on the J-TEXT tokamak

August 2024

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165 Reads

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5 Citations

The J-TEXT capability is enhanced compared to two years ago with several upgrades of its diagnostics and the increase of electron cyclotron resonance heating (ECRH) power to 1 MW. With the application of electron cyclotron wave (ECW), the ECW assisted plasma startup is achieved; the tearing mode is suppressed; the toroidal injection of 300 kW ECW drives around 24 kA current; fast electrons are generated with toroidal injected ECW and the runaway current conversion efficiency increases with ECRH power. The mode coupling between 2/1 and 3/1 modes are extensively studied. The coupled 2/1 and 3/1 modes usually lead to major disruption. Their coupling can be either suppressed or avoided by external resonant magnetic perturbation fields and hence avoids the major disruption. It is also found that the 2/1 threshold of external field is significantly reduced by a pre-excited 3/1 mode, which can be either a locked island or an external kink mode. The disruption control is studied by developing prediction methods capable of cross tokamak application and by new mitigation methods, such as the biased electrode or electromagnetic pellet injector. The high-density operation and related disruptions are studied from various aspects. Approaching the density limit, the collapse of the edge shear layer is observed and such collapse can be prevented by applying edge biasing, leading to an increased density limit. The density limit is also observed to increase, if the plasma is operated in the poloidal divertor configuration or the plasma purity is increased by increasing the pre-filled gas pressure or ECRH power during the start-up phase.


Kinetic simulations of capacitively coupled plasmas driven by tailored voltage waveforms with multi-frequency matching

Impedance matching is crucial for optimizing plasma generation and reducing power reflection in capacitively coupled plasmas (CCP). Designing these matchings is challenging due to the varying and typically unknown impedance of the plasma, especially in the presence of multiple driving frequencies. Here, a computational design method for impedance matching networks (IMNs) for CCPs is proposed and applied to discharges driven by tailored voltage waveforms (TVW). This method is based on a self-consistent combination of particle in cell/Monte Carlo collision simulations of the plasma with Kirchhoff’s equations to describe the external electrical circuit. Two Foster second-form networks with the same structure are used to constitute an L-type matching network, and the matching capability is optimized by iteratively updating the values of variable capacitors inside the IMN. The results show that the plasma density and the power absorbed by the plasma continuously increase in the frame of this iterative process of adjusting the matching parameters until an excellent impedance matching capability is finally achieved. Impedance matching is found to affect the DC self-bias voltage, whose absolute value is maximized when the best matching is achieved. Additionally, a change in the quality of the impedance matching is found to cause an electron heating mode transition. Poor impedance matching results in a heating mode where electron power absorption in the plasma bulk by drift electric fields plays an important role, while good matching results in the classical α-mode operation, where electron power absorption by ambipolar electric fields at the sheath edges dominates. The method proposed in this work is expected to be of great significance in promoting TVW plasma sources from theory to industrial application, since it allows designing the required complex multi-frequency IMNs.


Impedance matching design of capacitively coupled plasma with fluid and external circuit coupled model

April 2024

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47 Reads

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2 Citations

Plasma Processes and Polymers

This paper establishes a fully self‐consistent coupled model of fluid and external circuits. The Kirchhoff equation, the charge conservation equation, and Poisson equation are coupled via boundary conditions and integrated into the fluid model for iterative parameter solution. On the basis of this model, we investigate the influence of impedance matching on single‐frequency capacitively coupled plasma characteristics under different parameters and topological structures. The findings suggest that after several iterations the matching parameters converge. Using different initial circuit parameters, the adjustable capacitance and inductance are eventually adjusted to approximately equal values, resulting in the same optimal matching state, whereas diverse discharge parameters led to different outcomes. Under fixed parameters for two topologies, the power absorption efficiency increases, and the reflection coefficient approaches zero, and the best matching is found. This model can be extended to different fluid programs to investigate the impact of complex external circuits with impedance matching network on plasma discharge while simultaneously seeking best impedance matching.


Electrical characteristics of the GEC reference cell at low pressure: A two-dimensional PIC/MCC modeling study

April 2024

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128 Reads

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3 Citations

The electrical characteristics of the Gaseous Electronics Conference (GEC) reference cell at low pressures are investigated using a two-dimensional electrostatic implicit particle-in-cell / Monte Carlo collision model (PIC / MCC) in cylindrical coordinates. The coupling between the complex reactor geometry and the external circuit is included via an equivalent capacitance calculated from the electric energy density and the charge conservation equation. The results of this model are compared with experimental measurements and other model calculations and show agreement. The plasma series resonance (PSR) effect, closely related to electron heating, is observed in this numerical simulation of a strongly asymmetric reactor at low pressures. The plasma kinetics of the capacitively coupled discharge and details of the external circuit response, including electrical waveforms and higher-order harmonics, are discussed at different pressures, which provides important insights for understanding the power coupling mechanisms in capacitively coupled discharges.



Numerical Impedance Matching via Extremum Seeking Control of Single-Frequency Capacitively Coupled Plasmas

January 2024

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158 Reads

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5 Citations

Impedance matching is a critical component of semiconductor plasma processing for minimizing the reflected power and maximizing the plasma absorption power. In this work, a more realistic plasma model is proposed that couples lumped element circuit, transmission line, and particle-in-cell (PIC) models, along with a modified gradient descent algorithm (GD), to study the impact of presets on the automatic matching process. The effectiveness of the proposed conceptual method is validated by using a single-frequency capacitively coupled plasma as an example. The optimization process with the electrode voltage and the reflection coefficient as the objective function and the optimized state, including plasma parameters, circuit waveforms, and voltage and current on transmission lines, is provided. These results show that the presets, such as initial conditions and objective functions, are closely related to the automatic matching process, resulting in different convergence speeds and optimization results, proving the existence of saddle points in the matching network parameter space. These findings provide valuable information for future experimental and numerical studies in this field.


Optimizing impedance matching parameters for single-frequency capacitively coupled plasma via machine learning

December 2023

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119 Reads

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3 Citations

Journal of Vacuum Science & Technology A Vacuum Surfaces and Films

Impedance matching plays a critical role in achieving stable and controllable plasma conditions in capacitive coupled plasma (CCP) systems. However, due to the complex circuit system, the nonlinear relationships between components, and the extensive parameter space of the matching network, finding optimal component values pose significant challenges. To address this, we employ an artificial neural network as a surrogate model for the matching system, leveraging its powerful pattern learning capability for a reliable and efficient search for matching parameters. In this paper, we designed four different parameters as optimization objectives and took the modulus of the reflection coefficient as an example to demonstrate the impedance matching optimization process of a CCP in detail using a particle-in-cell/Monte Carlo collision model. Our approach not only provides an effective optimization direction but also furnishes an entire parameter space that aligns with expectations, rather than just a single point. Moreover, the method presented in this paper is applicable to both numerical simulations and experimental matching parameter optimization.


Numerical simulations of the effects of radiofrequency cables on the single-frequency capacitively coupled plasma

November 2022

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29 Reads

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5 Citations

Radiofrequency (RF) coaxial cables are one of the vital components for the power sources of capacitively coupled plasmas (CCPs), by which the RF power is transferred to excite the plasma. Usually, the cables can be treated as transmission lines (TLs). However, few studies of TLs in CCP power sources were conducted due to the nonlinear coupling between TLs and the plasma. In this work, we developed a numerical scheme of TLs based on the Lax–Wendroff method and realized the nonlinear bidirectional coupling among the lumped-element model, transmission line model, and electrostatic particle-in-cell model. Based on the combined model, three discharge patterns were found, including weak matching state, normal state, and over matching state. The great differences among the three patterns indicated that the TLs could change the impedance matching of the device and significantly affect the plasma properties.


Citations (10)


... A distributed circuit model, also known as TLM, can be solved numerically using the Lax-Wendroff two-step Method (LWM) with second order accuracy [19,29]. This LWM has the advantages of high stability and low computational costs. ...

Reference:

Impedance matching design for capacitively coupled plasmas considering coaxial cables
A Numerical Approach for Nonlinear Transmission Line Analysis with Bidirectional Coupling to Lumped-element and Particle-In-Cell Models
  • Citing Article
  • April 2024

Journal of Computational Physics

... By continuously iterating this process, the simultaneous simulation of the circuit and plasma can be achieved. This method has been verified [38] and has been used in the impedance matching design of single-frequency CCPs [32,57]. ...

Impedance matching design of capacitively coupled plasma with fluid and external circuit coupled model
  • Citing Article
  • April 2024

Plasma Processes and Polymers

... For the future work related to the moderate wavelength, especially short wavelength micro-instabilities, the FLR effects may need to be considered as in [11]. In addition, [63][64][65][66][67][68] have studied the impact of magnetic island (MI) on the micro-instabilities, and paid more attention to the effects inside the MI. However, for the 3D deformation of the flux surface outside of MI region, the topological structure is similar to that induced by IKM in this work. ...

Overview of the recent experimental research on the J-TEXT tokamak

... The particle-in-cell/Monte Carlo collisions (PIC/MCC) method is an indispensable tool for investigating the physics in plasmas, especially in the conditions when kinetic effects prevail [1]. After 70 years of development, the PIC/MCC approach has been used in various discharge phenomena and plasma sources [2], e.g. the capacitively coupled plasma (CCP) sources [3][4][5][6][7], the inductively coupled plasma (ICP) sources [8][9][10], the magnetrons [11][12][13][14], the ion grid systems [15][16][17], plasma probes [18] and the electric thrusters [19][20][21][22][23][24]. Unlike the fluid approaches including nonlocal closure of the equations as an input, the PIC/MCC method is based on the first principle [25,26]. ...

Numerical Impedance Matching via Extremum Seeking Control of Single-Frequency Capacitively Coupled Plasmas

... In this case, the voltage and current on the cable will not only change with time, but also with the spatial position along the cable, so that the coaxial cables need to be considered as transmission lines (TLs). Both experiments [16,17] and simulations [18,19] show that the cable has a significant impact on the voltage and current in the reactor, which will directly affect the design of the impedance matching. In many practical CCP systems, the IMN and RF power source are connected to the plasma reactor via RF coaxial cables. ...

Numerical simulations of the effects of radiofrequency cables on the single-frequency capacitively coupled plasma
  • Citing Article
  • November 2022

... Schmidt et al computationally studied the impedance matching design of single-frequency CCP based on a plasma equivalent circuit model [9]. Yu et al used selfconsistent external circuit and particle-in-cell/Monte-Carlo collision (PIC/MCC) models to implement the impedance matching design of single-frequency CCPs in simulations [10]. In addition, impedance matching for dual-frequency [11,12] and multi-frequency [13][14][15] CCPs has been studied by many scholars. ...

Best impedance matching seeking of single-frequency capacitively coupled plasmas by numerical simulations
  • Citing Article
  • August 2022

... In this work, a self-consistent coupling of a 1D3v direct implicit PIC/MCC code with an external circuit is used, which has been used successfully in the study of rf breakdown [29]. The external circuit coupling method comes from [47], which has been tested and improved successfully by our code [48,49]. The implicit PIC code allows for a larger time and space scale than the explicit one [50][51][52], which can finish the simulation more quickly. ...

A Generalized External Circuit Model for Electrostatic Particle-In-Cell Simulations
  • Citing Article
  • August 2022

Computer Physics Communications

... In this work, a self-consistent coupling of a 1D3v direct implicit PIC/MCC code with an external circuit is used, which has been used successfully in the study of rf breakdown [29]. The external circuit coupling method comes from [47], which has been tested and improved successfully by our code [48,49]. The implicit PIC code allows for a larger time and space scale than the explicit one [50][51][52], which can finish the simulation more quickly. ...

The effects of match circuit on the breakdown process of capacitively coupled plasma driven by radio frequency
  • Citing Article
  • April 2022

... The external circuit has a significant impact on the breakdown process [29] and steady-state results [30] of CCP discharges, and is considered to be the main cause of voltage harmonics between the electrodes [31]. Impedance matching can optimize the transfer of power supplied by the generator to the plasma load and reduce the reflection of power. ...

Self-consistent simulation of the impedance matching network for single frequency capacitively coupled plasma

... In fact, the PIC algorithm based on first-principles physical processes is also effective and accurate in simulating non-equilibrium fast changing breakdown processes, such as rf breakdown [24,29,43], DC breakdown [44] window breakdown [32], micro-discharge [41,45] and even the startup of Tokamak [46]. In this work, a self-consistent coupling of a 1D3v direct implicit PIC/MCC code with an external circuit is used, which has been used successfully in the study of rf breakdown [29]. ...

Computational analysis of direct current breakdown process in SF 6 at low pressure