Comparism of Response Surface Methodology (RSM) and Adaptive Neuro-Fuzzy Inference Systems (ANFIS) in Optimisation of Soybean Soapstock Biodiesel Production

Chinedu Mbah, Francisca Nwafulugo, N. Ezetoha
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Abstract

Soybean soapstock (SS), a lipid rich by-product of soybean oil production is a promising feedstock for the production ofbiodiesel due to its availability and affordability. In the esterification and transesterification reactions involving soyabeansoapstock, sodium hydroxide, methanol and n-hexane were used as catalyst, solvent and co-solvent respectively. The physico-chemical properties of the biodiesel obtained were determinedusing the Association of Analytical Chemist (AOAC) and American Society of Testing Materials (ASTM) methods. The esterification and transesterification reactions were optimised using both response surface methodology (RSM) under design expert 7.0 platform and Particle swarm technique in ANFIS (ANFIS-PSO) using the MATLAB software. The optimized acid value from the esterification reaction using RSM and ANFIS-PSO were 4.956 and 1.488 while the yield obtained were 97.29% and 99.91%respectively with ANFIS-PSO proving to be the better optimization technique in both cases. Comparison plots made for both reactions shows the ANFIS-PSO curve mirroring the experimental and thus signifying a closer trend when compared to the RSM curve. The suitability of the ANFIS-PSO prediction was further highlighted by the error analysis carried out on both techniques. The Residual sum of squares (RSS), Mean absolute error (MAE), Root mean square error (RMSE), Correlation coefficient (R), Coefficient of determination (R2), Adjusted R2, Absolute average deviation (AAD) and Mean absolute percent error (MAPE) values for the ANFIS-PSO predictions in both reactions were better than the RSM predictions. It can thus be concluded that soybean soapstock is a viable feedstock for biodiesel production and ANFIS-PSO is a more efficient optimization technique when compared with RSM in esterification and transesterification of soybean soapstock.
响应面法(RSM)与自适应神经模糊推理系统(ANFIS)在优化大豆皂素生物柴油生产中的比较
大豆皂素(SS)是大豆油生产过程中产生的一种富含脂质的副产品,由于其可获得性和经济性,是一种很有前景的生物柴油生产原料。在涉及大豆皂基的酯化和酯交换反应中,氢氧化钠、甲醇和正己烷分别用作催化剂、溶剂和助溶剂。采用分析化学家协会 (AOAC) 和美国试验材料协会 (ASTM) 的方法测定了生物柴油的物理化学性质。在 design expert 7.0 平台下使用响应面方法 (RSM),在 MATLAB 软件中使用 ANFIS 粒子群技术 (ANFIS-PSO),对酯化和酯交换反应进行了优化。使用 RSM 和 ANFIS-PSO 进行酯化反应的优化酸值分别为 4.956 和 1.488,而 ANFIS-PSO 的产率分别为 97.29% 和 99.91%,证明 ANFIS-PSO 在两种情况下都是更好的优化技术。对两种反应绘制的对比图显示,ANFIS-PSO 曲线反映了实验结果,因此与 RSM 曲线相比,趋势更为接近。对这两种技术进行的误差分析进一步凸显了 ANFIS-PSO 预测的适用性。在两种反应中,ANFIS-PSO 预测的残差平方和 (RSS)、平均绝对误差 (MAE)、均方根误差 (RMSE)、相关系数 (R)、判定系数 (R2)、调整后 R2、绝对平均偏差 (AAD) 和平均绝对百分比误差 (MAPE) 值均优于 RSM 预测。因此可以得出结论,大豆皂素是生产生物柴油的可行原料,在大豆皂素的酯化和酯交换反应中,与 RSM 相比,ANFIS-PSO 是一种更有效的优化技术。
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