International Scientific Journal

Thermal Science - Online First

online first only

Determination of aerosol particle size distribution by a novel ABC-DE hybrid algorithm

The aerosol size distribution (ASD), a vitally important environmental quality evaluation criterion, has a significant influence on radiative transfer and meteorological phenomena. To measure the ASD effectively and accurately, the light scattering measurement method combined with a novel ABC-DE hybrid algorithm which was based on the Artificial Bee Colony (ABC) algorithm and Differential Evolution (DE) algorithm, was proposed. First, the retrieval accuracy and convergence properties of the ABC-DE algorithm were compared with those of the ABC algorithm. The results revealed that the ABC-DE algorithm could avoid the phenomenon of local optima and low convergence accuracy which exited in ABC algorithm. Then, the parametric estimation of two commonly used monomodal ASDs, i.e. the Gamma distribution and the logarithmic normal (L-N) distribution were studied under different random measurement errors. The investigation indicated that the retrieval results using the ABC-DE showed better accuracy and robustness than those using the ABC. Moreover, the retrieval parameters with better monodromy characteristic would have better inverse accuracy. Finally, the actual measured ASDs over Harbin China were also retrieved. All the results confirm that the ABC-DE algorithm was an effective and reliable technique for estimating the ASD.
PAPER REVISED: 2018-01-29
PAPER ACCEPTED: 2018-02-24
  1. Chen, Q.X., Yuan, Y., Shuai, Y., Tan, H.P., Graphical aerosol classification method using aerosol relative optical depth, Atmospheric Environment, 135(2016), pp. 84-91.
  2. He, Z.Z., Qi, H., Chen, Q., Ruan, L.M., Retrieval of aerosol size distribution using Improved Quantum-behaved Particle Swarm Optimization from spectral extinction measurement, Particuology, 133(2014), pp. 245-252
  3. Lenoble, J., Remer, L., Tanre, D., Aerosol Remote Sensing, Springer, Chichester, UK, 2013
  4. Wang-Li, L. J., Cao, Z. H., Buser, M., Whitelock, D., Parnell, C. B., Zhang, Y. H., Techniques for measuring particle size distribution of particulate matter emitted from animal feeding operations, Atmospheric Environment, 66(2013), pp. 25-32
  5. Esparza, A. E., Fitzgerald, R. M., Gill, T. E., Polanco, J., Use of light-extinction method and inverse modeling to study aerosols in the Paso del Norte Airshed, Atmospheric Environment, 45(2011), 39, pp. 7360-7369
  6. Chen, Q.X., Yuan, Y., Huang, X., Jiang, Y.Q., Tan, H.P., Estimation of surface-level PM 2.5 concentration using aerosol optical thickness through aerosol type analysis method, Atmospheric Environment, 159(2017), pp.26-33.
  7. Kocifaj, M., Gueymard, C. A., Aerosol size distribution retrievals from sunphotometer measurements: Theoretical evaluation of errors due to circumsolar and related effects, Atmospheric Environment, 51(2012), pp. 131-139
  8. Kokhanovsky, A. A., Leeuw, G. H., Satellite Aerosol Remote Sensing Over Land, Springer, Chichester, UK, 2009
  9. Sun, X. G., Tang, H., Yuan, G. B., Determination of the particle size range in the visible spectrum from spectral extinction measurements, Measurement Science and Technology, 18(2007), 11, pp. 3572-3582
  10. Zhang, B., Xu, C.L., Wang, S.M., An inverse method for flue gas shielded metal surface temperature measurement based on infrared radiation, Measurement Science & Technology, 27(7): 074002(1-11)
  11. Qi, H., Zhang, B., Ren, Y. R., Ruan, L. M., Tan, H. P., Retrieval of spherical particle size distribution using ant colony optimization algorithm, Chinese Optics Letters, 11(2013), 112901, pp. 1-5
  12. Hong, T., Retrieval of spherical particle size distribution with an improved tikhonov iteration method, Thermal Science, 16(2012), 5, pp. 1400-1404
  13. Yuan, Y., Yi, H.L., Shuai, Y., Liu, B., Tan, H.P., Inverse problem for aerosol particle size distribution using SPSO associated with multi-lognormal distribution model, Atmospheric Environment, 45(2011), 28, pp. 4892-4897
  14. Shen, J. Q., Cai, X. S., Optimized inversion procedure for retrieval of particle size distributions from dynamic light-scattering signals in current detection mode, Optics Letters, 35(2010), 12, pp. 2010-2012
  15. Qi, H., Ruan, L. M., Wang, S. G., Shi, M., Zhao, H., Application of multi-phase particle swarm optimization technique to retrieve the particle size distribution, Chinese Optics Letters, 6(2008), 5, pp. 346-349
  16. Ren, Y. T., Qi, H., Chen, Q., Ruan, L. M., Tan, H. P., Simultaneous retrieval of the complex refractive index and particle size distribution, Optics Express, 23(2015), 15, pp. 19328-19337.
  17. Karaboga, D., Akay, B., A comparative study of Artificial Bee Colony algorithm, Applied Mathematics & Computation, 214(2009), 1, pp. 108-132
  18. Mishchenko, M. I., Travis, L. D., Lacis, A. A., Scattering, absorption, and emission of light by small particles, Cambridge University Press, Cambridge, UK, 2002.
  19. Akay, B., Karaboga, D., A modified Artificial Bee Colony algorithm for real-parameter optimization, Information Sciences, 192(2012), 6, pp. 120-142
  20. He, Z.Z., Mao, J.K., Han, X.S., Application of an improved artificial bee colony algorithm to inverse problem of aerosol optical constants from spectral measurement data, Optik-International Journal for Light and Electron Optics, 145(2017), pp. 316-329
  21. Storn, R., Price, K., Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces, Journal of Global Optimization, 11(1997), 4, pp. 341-359
  22. Wu, Y. L., Lu, J. G., Sun, Y. X., An improved differential evolution for optimization of chemical process, Chinese Journal of Chemical Engineering, 16(2008), 2, pp. 228-234
  23. Lu, S. F., Sun, C. F., Lu, Z. D., An improved quantum-behaved particle swarm optimization method for short-term combined economic emission hydrothermal scheduling, Energy Conversion and Management, 51(2010), 3, pp. 561-571
  24. D'Almeida, G. A., Koepke, P., Shettle, E. P., Atmospheric Aerosols: Global Climatology and Radiative Characteristics, A. Deepak Publisher Hampton, Virginia, USA, 1991.
  25. Qi H., He Z. Z., Gong S., Ruan L. M., Inversion of particle size distribution by spectral extinction technique using the attractive and repulsive particle swarm optimization algorithm, Thermal Science, 19(2015), 6, pp. 2151-2160.