Skip to main content
Log in

Data-based thermodynamic model and feedforward-PI control method for laser soldering

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

High demands for precision laser soldering technologies arise as digital devices move towards volume downsizing. Laser soldering is a very complicated thermodynamic chemical process, and controlling the temperature also becomes challenging. Based on experimental data, a thermodynamic model for the soldering process is developed in this study, taking into account variables like laser power, spot size, and heating duration, among others. A novel feedforward-PI control algorithm is proposed using the model which includes a target temperature curve-based feedforward algorithm to help the PI feedback control to achieve precise temperature control during the laser soldering process. Experiments and comparisons are used to demonstrate the efficacy of the suggested model and control approach. The outcomes show that the suggested model is capable of effectively describing the dynamics of laser soldering. The temperature standard deviation of the proposed control technique is shown to be lower than 55%-60% of the classic PID control approach, while the former has higher precision.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

Data Availability

All data generated or analyzed during this study are included in the present article.

References

  1. Naveed SM, Woods RL, Zediker MS (2003) Diode laser soldering: a lumped parameter mathematical model and comparison of different optical soldering technologies. In high-power diode laser technology and applications, pp 142–157

  2. Perka AK, John MB, Kuruveri UB, Menezes PL (2022) Advanced high-strength steels for automotive applications: arc and laser welding process, properties, and challenges. Metals 12(6)

  3. Jiang N, Zhang L, Xiong M, Zhao M, Xu K (2019) Advances in lead-free soft brazing technology for electronic packaging (in Chinese). Materials Guide 33(23):3862–3875

    Google Scholar 

  4. Quazi MM, Ishak M, Fazal MA, Arslan A, Rubaiee S, Qaban A, Aiman MH, Sultan T, Ali MM, Manladan SM (2020) Current research and development status of dissimilar materials laser welding of titanium and its alloys. Opt Laser Technol 126:106090

    Article  Google Scholar 

  5. Shin JH, Noh HC, Park GD (2023) Effect of spiral welding path and laser power on weld in laser welding of aluminum tab for lithium-ion battery. The International Journal of Advanced Manufacturing Technology 126(3):1317–1327

    Article  Google Scholar 

  6. Tao XK, Yang HY, Ba XL, Liu LM (2023) Influence of heat source arrangement on coupling characteristics of low-power pulsed laser-MAG hybrid welding. The International Journal of Advanced Manufacturing Technology 126(9):4073–4086

    Article  Google Scholar 

  7. Han RH, Song G, Liu X, Zhang ZD, Liu LM (2023) The mathematical model for the prediction and optimization of weld bead geometry in all-position low-power pulsed laser-MAG hybrid welding. The International Journal of Advanced Manufacturing Technology 126(11):5245–5258

    Article  Google Scholar 

  8. Cheng YC, Yu R, Zhou Q, Chen HM, Yuan W, Zhang YM (2021) Real-time sensing of gas metal arc welding process - a literature review and analysis. J Manuf Process 70:452–469

    Article  Google Scholar 

  9. Cai W, Wang JZ, Jiang P, Cao LC, Mi GY, Zhou Q (2020) Application of sensing techniques and artificial intelligence-based methods to laser welding real-time monitoring: a critical review of recent literature. J Manuf Syst 57:1–18

    Article  Google Scholar 

  10. Heydari H, Akbari M (2020) Investigating the effect of process parameters on the temperature field and mechanical properties in pulsed laser welding of Ti6Al4V alloy sheet using response surface methodology. Infrared Physics & Technology 106

  11. Tian D, Wang C, Tian Y (2009) Modeling of micropitch shift of a magnetoelectrical sensor during laser solder ball bonding process. IEEE Trans Adv Packag 32(1):136–145

    Article  Google Scholar 

  12. Zhao DW, Wang YX, Liang DJ, Mikhail I (2020) Performances of regression model and artificial neural network in monitoring welding quality based on power signal. J Market Res 9(2):1231–1240

    Google Scholar 

  13. Yang YB, Bagherzadeh S, Azimy H, Akbari M, Karimipour A (2020) Comparison of the artificial neural network model prediction and the experimental results for cutting region temperature and surface roughness in laser cutting of Al6061T6 alloy. Infrared Physics & Technology 108

  14. Jiang DZ, Alsagri A, Akbari M, Afrand M, Alrobaian A (2019) Numerical and experimental studies on the effect of varied beam diameter, average power and pulse energy in ND: YAG laser welding of Ti6Al4V. Infrared Physics & Technology 101:180–188

    Article  Google Scholar 

  15. Li ZX, Rostam K, Panjehpour A, Akbari M, Karimipour A, Rostami S (2020) Experimental and numerical study of temperature field and molten pool dimensions in dissimilar thickness laser welding of Ti6Al4V alloy. J Manuf Process 49:438–446

    Article  Google Scholar 

  16. Abouelregal AE, Ahmad H (2021) Thermodynamic modeling of viscoelastic thin rotating microbeam based on non-Fourier heat conduction. Appl Math Model 91:973–988

    Article  MathSciNet  MATH  Google Scholar 

  17. Nicolics J, Musiejovsky L, Semerad E (1994) Optimization of process parameters for laser soldering of surface mounted devices. Micro-electronics Reliability 34(8):1430

    Article  Google Scholar 

  18. Nicolics J and Hobler G (1994) Numerical analysis of transient temperature distributions during laser soldering. COMPEL: the international journal for computation and mathematics in electrical and electronic engineering

  19. Tao W, editor (2019) Heat transfer. Higher Education Press

  20. Goladk J, Chakravariti A, Bibby M (1984) A new finite element model for welding heat sources. Metall Trans B 15:299–305

    Article  Google Scholar 

  21. Naeem M, Abuzer M, Sahi ST, Imran T (2023) Microcontroller-based thermoelectrically stabilized laser diode system. Archives of Advanced Engineering Science, pages 1–8

  22. Li B, Zheng CT, Liu HF, He QX, Ye WL, Zhang Y, Pan JQ, Wang YD (2016) Development and measurement of a near-infrared ch4detection system using 1.654 \(\mu \)m wavelength-modulated diode laser and open reflective gassensing probe. Sens Actuators, B Chem 225:188–198

  23. Oo HL, Anatolii S, Ye KZ (2019) Analysis and evaluation of the efficiency of laser temperature control system. In 2019 IEEE conference of Russian young researchers in electrical and electronic engineering (EIConRus), pp 2180–2182

  24. Gan ZT, Yu G, Li SX, He XL, Chen R, Zheng CY, Ning WJ (2016) A novel intelligent adaptive control of laser-based ground thermal test. Chin J Aeronaut 29(4):1018–1026

    Article  Google Scholar 

  25. Silvia M, Aitzol L, Eneko U, Ivan T, Inaki A (2016) Control loop tuning by thermal simulation applied to the laser transformation hardening with scanning optics process. Appl Therm Eng 98:49–60

    Article  Google Scholar 

  26. Chen ZH, Zheng Y, Zhou MJ, Wong D, Chen LJ, Deng ZH (2016) Model-based feedforward register control of roll-to-roll web printing systems. Control Eng Pract 51:58–68

    Article  Google Scholar 

  27. Chen ZH, Zheng Y, Zhang T, Wong D, Deng ZH (2019) Modeling and register control of the speed-up phase in roll-to-roll printing systems. IEEE Trans Autom Sci Eng 16(3):1438–1449

    Article  Google Scholar 

  28. Chen ZH, He C, Zheng Y, Shi XL, Song T (2015) A novel thermodynamic model and temperature control method of laser soldering systems. Math Probl Eng 2015:509031. https://doi.org/10.1155/2015/509031

Download references

Funding

This work was supported by the National Natural Science Foundation of China (62272112), Natural Science Foundation of Guangdong Province (2023A1515011998) Science and Technology Projects in Guangzhou (202201020120).

Author information

Authors and Affiliations

Authors

Contributions

Zhihua Chen performed the model derivation and designed control method. Jiasen Chen performed the experiments and the data analysis and wrote the original draft. Peiqing Hong assisted in the experiment. Tao Zhang contributed to the supervision, reviewing, and editing of this paper. Yunan Bao provided laser welding equipment and software.

Corresponding author

Correspondence to Tao Zhang.

Ethics declarations

Competing interests

The authors declare no competing interests.

Ethics approval

All authors complied with the requirements of publication’s ethical responsibility.

Consent to participate

All authors were informed and consented to the writing.

Consent for publication

All the authors were consented to the submission of this manuscript.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, Z., Chen, J., Hong, P. et al. Data-based thermodynamic model and feedforward-PI control method for laser soldering. Int J Adv Manuf Technol 129, 5249–5260 (2023). https://doi.org/10.1007/s00170-023-12553-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-023-12553-0

Keywords

Navigation