# The Simulation of Dielectric Barrier Discharge for Breakdown Voltage in Starch Modification
## 4 Conclusions  
In this study, COMSOL Multiphysics 3.5a, a software program based on the finite element method, was used to determine how different factors affected the distribution  
\begin{table} \begin{tabular}{c c c c c c c c} \hline \hline  & & \multicolumn{6}{c}{**Breakdown Voltage (V)**} \\ \cline{3-8}
**Gap Distance** & _pd_ & \multicolumn{2}{c}{**10 Micron**} & \multicolumn{2}{c}{**50 Micron**} & \multicolumn{2}{c}{**150 Micron**} \\ \cline{3-8}
**(cm)** & **(tor cm)** & \multicolumn{2}{c}{**Plate**} & **Mesh** & **Plate** & **Mesh** & **Plate** & **Mesh** \\ \hline
0.2 & 152 & 5999 & 5653 & 6000 & 5655 & 6006 & 5659 \\
0.3 & 228 & 7299 & 7178 & 7300 & 7181 & 7307 & 7185 \\
0.4 & 304 & 8855 & 8692 & 8857 & 8694 & 8865 & 8701 \\
0.5 & 380 & 10,558 & 10,358 & 10,560 & 10,361 & 10,570 & 10,369 \\
0.6 & 456 & 11,955 & 11,737 & 11,957 & 11,740 & 11,968 & 11,749 \\
0.7 & 532 & 13,449 & 13,207 & 13,451 & 13,210 & 13,464 & 13,221 \\
0.8 & 608 & 14,930 & 14,647 & 14,933 & 14,651 & 14,947 & 14,662 \\
0.9 & 684 & 16,381 & 16,069 & 16,383 & 16,073 & 16,399 & 16,086 \\
1.0 & 760.0 & 17,819 & 17,454 & 17,822 & 17,458 & 17,839 & 17,473 \\ \hline \hline \end{tabular}   
* Plate means the parallel plate electrode. Mesh means mesh electrodes with mesh sizes of 1.5 cm\({}^{2}\). * Plate electrode
* Mesh electrode  
of the electric field. Because of this electric field, the initial voltage for plasma formation can be determined. We studied the effects of starch's relative permittivity, granule shape, thickness layer, and granule diameter on the breakdown voltage. The conclusions obtained from this study can be summarized as follows:  
1. The simulation results of this model were independent of the mesh when using the finer, extra fine, and extremely fine types. 2. The top electrode of the plasma system can use a mesh electrode to replace the typical electrode. Based on the simulation results, this can lower the voltage required for initiating plasma production for similar conditions by approximately 2-6%. 3. A higher-intensity electric field can be generated via electrodes with a larger mesh size, resulting in a lower breakdown voltage than for electrodes with a small mesh size. 4. A comparison of the results for relative dielectric permittivity with different starch shows that the breakdown voltage decreases with increasing permittivity of the used starch. 5. Starch with a polyhedral granule shape uses a voltage for breakdown significantly lower than that used in sphere and ellipsoid shapes. 6. The thinner starch layer allows it to ionize at lower voltages while increasing the starch layer thickness requires an increase in the breakdown voltage. 7. When the thickness of the starch layer is fixed, the breakdown voltage is unaffected by the starch granule diameter. These results can be beneficial in determining the optimal breakdown voltage for each type of starch because each kind has unique properties. Furthermore, they can be constructive in determining the suitable plasma system design for starch modifications. Conceptualization, P.C. (Pitchasak Chankuson); methodology, P.C. (Pitchasak Chankuson) and A.P. ; software, P.C. (Pitchasak Chankuson) and A.P. ; validation, P.C. (Pitchasak Chankuson) and P.C. (Paramene Chumsnri); formal analysis, P.C. (Pitchasak Chankuson) and P.C. (Paramee Chumsnri); resources, P.C. ([PERSON]), A.P. and P.C. ([PERSON]); data curation, P.C. ([PERSON]), A.P. and P.C. ([PERSON]); writing--original draft preparation, P.C. ([PERSON]) and P.C. ([PERSON]); writing--review and editing, P.C. ([PERSON]); visualization, P.C. ([PERSON]). All authors have read and agreed to the published version of the manuscript. This research received no external funding. Not applicable. Data Availability Statement: Data are contained within the article.