Electrical Discharge Coating Variables Multi-Criteria Optimisation Utilising TOPSIS Method on the Wear Behaviour of WS2-Cu Coating on AA7075 Alloy †
Abstract
1. Introduction
2. Experimental Procedures
2.1. Materials
2.2. Fabrication of EDCs
2.3. Characterisation and Wear Testing
2.4. Multi-Objective Optimisation Using TOPSIS
3. Results and Discussion
3.1. Optimisation
3.2. Analysis of Variance
3.3. Confirmation Experiment
4. Conclusions
- The ideal parameters established by the main effect plots are 4A for Ip, 80 µs for Ton, and 5 µs for Toff.
- The interaction plot indicates that elevated-level interactions among the inputs, when coupled with supplementary inputs, significantly affect their RC. This suggests that all input variables are highly interdependent. Furthermore, a more significant interaction is evident among Ip and Ton, Ton and Toff, and between Ip and Toff.
- The ANOVA test indicates that Ip is more influential than the other two variables. The Ip is most influential, accounting for 44.09% of the total; Toff accounts for 28.01%; Ton accounts for 20.33%; and the minimal error accounts for 8.58%.
- The regression model was additionally developed for RC in ideal circumstances. The validation experiment for the perfect parameters indicates a WR of 0.000179 mm3/Nm, a CoF of 0.204, and an SR of 2.818 µm. These findings are significantly lower than the values obtained for the settings specified in the L9OA. The RC of the predicted and experimental values for ideal settings yields an error of 6.34%, demonstrating that the Taguchi–TOPSIS method is more effective for multi-objective optimisation.
- The microstructure of the coatings produced under optimal conditions demonstrates a homogeneous and smooth surface texture with reduced porosity compared to the coatings developed according to the OA conditions. This finding collaborates well with the output responses obtained for optimal conditions.
- The coating wear track fabricated under optimal circumstances displayed no adhesive pits, shards of metal, or shallow furrows owing to robust adhesion between the coating materials and the substrate, as well as strong cohesion within the coating materials themselves.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| EDC | Electrical Discharge Coating |
| EDM | Electrical Discharge Machining |
| WS2 | Tungsten Disulfide |
| Cu | Copper |
| AA7075 | Aluminium Alloy 7075 |
| TOPSIS | Technique for Order Preference by Similarity to Ideal Solution |
| WR | Wear Rate |
| SR | Surface Roughness |
| CoF | Coefficient of Friction |
| ANOVA | Analysis of Variance |
| OA | Orthogonal Array |
| SEM | Scanning Electron Microscope |
| µm | Micrometer |
| µs | Microsecond |
| A | Ampere |
| RC | Relative Closeness |
| MCDM | Multi-Criteria Decision-Making |
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| Elements | Zn | Mn | Mg | Si | Cr | Fe | Cu | Al |
|---|---|---|---|---|---|---|---|---|
| % | 5.8 | 0.06 | 2.4 | 0.08 | 0.2 | 0.24 | 1.5 | Bal |
| Input Parameters | Level 1 | Level 2 | Level 3 |
|---|---|---|---|
| Ip (A) | 2 | 4 | 6 |
| Ton (µs) | 60 | 80 | 100 |
| Toff (µs) | 5 | 7 | 9 |
| Trial No. | Inputs | Responses | ||||
|---|---|---|---|---|---|---|
| Ip (A) | Ton (µs) | Toff (µs) | SR (µm) | WR (mm3/Nm) | CoF | |
| 1 | 2.00 | 60 | 5 | 2.318 | 0.000182 | 0.342 |
| 2 | 2.00 | 80 | 7 | 3.469 | 0.000261 | 0.225 |
| 3 | 2.00 | 100 | 9 | 4.646 | 0.000345 | 0.234 |
| 4 | 4.00 | 60 | 7 | 2.041 | 0.000252 | 0.302 |
| 5 | 4.00 | 80 | 9 | 2.628 | 0.000178 | 0.280 |
| 6 | 4.00 | 100 | 5 | 3.151 | 0.000184 | 0.214 |
| 7 | 6.00 | 60 | 9 | 3.859 | 0.000319 | 0.318 |
| 8 | 6.00 | 80 | 5 | 3.227 | 0.000246 | 0.243 |
| 9 | 6.00 | 100 | 7 | 3.271 | 0.000438 | 0.253 |
| Trial No. | Xij2 | Normalisation | ||||
|---|---|---|---|---|---|---|
| SR | WR | CoF | SR | WR | CoF | |
| 1 | 5.37312400 | 0.00000003 | 0.116732 | 0.237 | 0.217 | 0.420 |
| 2 | 12.03396100 | 0.00000007 | 0.050559 | 0.354 | 0.311 | 0.276 |
| 3 | 21.58531600 | 0.00000012 | 0.054919 | 0.474 | 0.411 | 0.288 |
| 4 | 4.16568100 | 0.00000006 | 0.091172 | 0.208 | 0.300 | 0.371 |
| 5 | 6.90638400 | 0.00000003 | 0.078563 | 0.268 | 0.212 | 0.345 |
| 6 | 9.92880100 | 0.00000003 | 0.045876 | 0.322 | 0.219 | 0.263 |
| 7 | 14.89188100 | 0.00000010 | 0.101159 | 0.394 | 0.380 | 0.391 |
| 8 | 10.41352900 | 0.00000006 | 0.059140 | 0.329 | 0.293 | 0.299 |
| 9 | 10.69944100 | 0.00000019 | 0.063791 | 0.334 | 0.522 | 0.310 |
| Trial No. | Weighted Normalisation | Positive Ideal Solution | Negative Ideal Solution | RC | Ranking | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| SR | WR | CoF | SR | WR | CoF | A* | SR | WR | CoF | A− | |||
| 1 | 0.118 | 0.054 | 0.105 | 0.014 | 0.001 | 0.039 | 0.002 | −0.119 | −0.076 | 0.000 | 0.020 | 0.920 | 3 |
| 2 | 0.177 | 0.078 | 0.069 | 0.073 | 0.025 | 0.003 | 0.006 | −0.060 | −0.053 | −0.036 | 0.008 | 0.564 | 6 |
| 3 | 0.237 | 0.103 | 0.072 | 0.133 | 0.050 | 0.006 | 0.020 | 0.000 | −0.028 | −0.033 | 0.002 | 0.084 | 9 |
| 4 | 0.104 | 0.075 | 0.093 | 0.000 | 0.022 | 0.027 | 0.001 | −0.133 | −0.055 | −0.012 | 0.021 | 0.945 | 1 |
| 5 | 0.134 | 0.053 | 0.086 | 0.030 | 0.000 | 0.020 | 0.001 | −0.103 | −0.077 | −0.019 | 0.017 | 0.928 | 2 |
| 6 | 0.161 | 0.055 | 0.066 | 0.057 | 0.002 | 0.000 | 0.003 | −0.076 | −0.076 | −0.039 | 0.013 | 0.803 | 4 |
| 7 | 0.197 | 0.095 | 0.098 | 0.093 | 0.042 | 0.032 | 0.011 | −0.040 | −0.035 | −0.007 | 0.003 | 0.204 | 8 |
| 8 | 0.165 | 0.073 | 0.075 | 0.061 | 0.020 | 0.009 | 0.004 | −0.072 | −0.057 | −0.030 | 0.009 | 0.694 | 5 |
| 9 | 0.167 | 0.131 | 0.078 | 0.063 | 0.077 | 0.012 | 0.010 | −0.070 | 0.000 | −0.027 | 0.006 | 0.360 | 7 |
| Factors | Level 1 | Level 2 | Level 3 | Max–Min | Rank |
|---|---|---|---|---|---|
| Ip | 0.523 | 0.892 | 0.420 | 0.473 | 1 |
| Ton | 0.690 | 0.729 | 0.416 | 0.313 | 3 |
| Toff | 0.806 | 0.623 | 0.406 | 0.400 | 2 |
| Source | DF | Adj SS | Adj MS | F-Value | p-Value |
|---|---|---|---|---|---|
| Ip (A) | 2 | 0.37044 | 0.18522 | 5.02 | 0.166 |
| Ton (µs) | 2 | 0.17474 | 0.08737 | 2.37 | 0.297 |
| Toff (µs) | 2 | 0.24079 | 0.12039 | 3.26 | 0.234 |
| Error | 2 | 0.07375 | 0.03688 | ||
| Total | 8 | 0.85972 |
| Parameters | Optimum Value | SR (µm) | WR (mm3/Nm) | CoF | Relative Closeness | |
|---|---|---|---|---|---|---|
| Predicted | Experimental | |||||
| Ip (A) | 4 | 2.818 | 0.000179 | 0.204 | 0.812 | 0.867 |
| Ton (µs) | 80 | |||||
| Toff (µs) | 5 | |||||
| % error | 6.34% | |||||
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Senthilkumar, N.; Perumal, G.; Elango, K.S.; Thirumalvalavan, S.; Selvarasu, S. Electrical Discharge Coating Variables Multi-Criteria Optimisation Utilising TOPSIS Method on the Wear Behaviour of WS2-Cu Coating on AA7075 Alloy. Eng. Proc. 2026, 130, 5. https://doi.org/10.3390/engproc2026130005
Senthilkumar N, Perumal G, Elango KS, Thirumalvalavan S, Selvarasu S. Electrical Discharge Coating Variables Multi-Criteria Optimisation Utilising TOPSIS Method on the Wear Behaviour of WS2-Cu Coating on AA7075 Alloy. Engineering Proceedings. 2026; 130(1):5. https://doi.org/10.3390/engproc2026130005
Chicago/Turabian StyleSenthilkumar, Natarajan, Ganapathy Perumal, Kothandapani Shanmuga Elango, Subramanian Thirumalvalavan, and Saminathan Selvarasu. 2026. "Electrical Discharge Coating Variables Multi-Criteria Optimisation Utilising TOPSIS Method on the Wear Behaviour of WS2-Cu Coating on AA7075 Alloy" Engineering Proceedings 130, no. 1: 5. https://doi.org/10.3390/engproc2026130005
APA StyleSenthilkumar, N., Perumal, G., Elango, K. S., Thirumalvalavan, S., & Selvarasu, S. (2026). Electrical Discharge Coating Variables Multi-Criteria Optimisation Utilising TOPSIS Method on the Wear Behaviour of WS2-Cu Coating on AA7075 Alloy. Engineering Proceedings, 130(1), 5. https://doi.org/10.3390/engproc2026130005

