中国农业科技导报 ›› 2023, Vol. 25 ›› Issue (6): 154-164.DOI: 10.13304/j.nykjdb.2021.1035
• 食品质量 加工储运 • 上一篇
杨伊琳1(), 丁俊雄1, 吴小华1(
), 王鹏1, 孙东亮1, 于馨尧1, 张振涛2, 李栋3
收稿日期:
2021-12-03
接受日期:
2022-05-05
出版日期:
2023-06-01
发布日期:
2023-07-28
通讯作者:
吴小华
作者简介:
杨伊琳E-mail:yangyilin210@163.com;
基金资助:
Yilin YANG1(), Junxiong DING1, Xiaohua WU1(
), Peng WANG1, Dongliang SUN1, Xinyao YU1, Zhentao ZHANG2, Dong LI3
Received:
2021-12-03
Accepted:
2022-05-05
Online:
2023-06-01
Published:
2023-07-28
Contact:
Xiaohua WU
摘要:
为确定香菇热风干燥的最佳工艺参数,以新鲜香菇为试验对象,开展多目标优化研究。以相对湿度、风速和单位载荷量为自变量,以干香菇的色差、水溶性蛋白含量和干燥时间为响应值,建立香菇热风干燥多目标综合评分模型,通过响应曲面法优化得到香菇热风干燥的最佳工艺参数。结果表明,色差为3.58、水溶性蛋白含量为46.39 mg·g-1、干燥时间为12.5 h,干燥条件50 ℃时,最佳干燥工艺参数为相对湿度27.1%、风速5 m·s-1、单位载荷量4 kg·m-2;将优化目标的模型预测值与试验值相比较,平均相对误差仅为6.6%,最大相对误差为7.4%。研究结果表明,基于响应曲面法建立的综合评分预测模型不仅可用于香菇热风干燥过程,还为提高干香菇的营养和感官品质提供理论指导。
中图分类号:
杨伊琳, 丁俊雄, 吴小华, 王鹏, 孙东亮, 于馨尧, 张振涛, 李栋. 基于响应曲面法优化香菇热风干燥工艺参数[J]. 中国农业科技导报, 2023, 25(6): 154-164.
Yilin YANG, Junxiong DING, Xiaohua WU, Peng WANG, Dongliang SUN, Xinyao YU, Zhentao ZHANG, Dong LI. Optimization of Hot-air Drying Process Parameters of Lentinus edodes Based on Response Surface[J]. Journal of Agricultural Science and Technology, 2023, 25(6): 154-164.
参数 Parameter | 水平 Level | |||
---|---|---|---|---|
1 | 2 | 3 | 4 | |
干燥温度 Drying temperature/℃ | 45 | 50 | 55 | 60 |
相对湿度 Relative humidity/% | 25 | 30 | 35 | 40 |
风速 Wind speed/(m·s-1) | 2 | 3 | 4 | 5 |
单位载荷量 Unit load/(kg·m-2) | 2 | 4 | 6 | 8 |
表1 香菇水分比热风干燥试验方案
Table 1 Test plan for the moisture ratio of lentinus edodes to hot air drying
参数 Parameter | 水平 Level | |||
---|---|---|---|---|
1 | 2 | 3 | 4 | |
干燥温度 Drying temperature/℃ | 45 | 50 | 55 | 60 |
相对湿度 Relative humidity/% | 25 | 30 | 35 | 40 |
风速 Wind speed/(m·s-1) | 2 | 3 | 4 | 5 |
单位载荷量 Unit load/(kg·m-2) | 2 | 4 | 6 | 8 |
水平 Level | 因素 Factor | ||
---|---|---|---|
X1:相对湿度 Relative humidity/% | X2:风速 Wind speed/(m·s-1) | X3:单位载荷量 Unit load/ (kg·m-2) | |
-1 | 25 | 3 | 4 |
0 | 30 | 4 | 6 |
1 | 35 | 5 | 8 |
表2 响应曲面工艺参数与水平
Table 2 Response surface technology parameter and level
水平 Level | 因素 Factor | ||
---|---|---|---|
X1:相对湿度 Relative humidity/% | X2:风速 Wind speed/(m·s-1) | X3:单位载荷量 Unit load/ (kg·m-2) | |
-1 | 25 | 3 | 4 |
0 | 30 | 4 | 6 |
1 | 35 | 5 | 8 |
图1 不同干燥参数下干香菇的色差注:图中不同小写字母表示P<0.05水平差异显著。
Fig. 1 Color difference of dry Lentinus edodes under drying parametersNote:Different small letters in the figure indicate significant differences at P<0.05 level.
图2 不同干燥参数下香菇的水溶性蛋白含量注:图中不同小写字母表示P<0.05水平差异显著。
Fig. 2 Water-soluble protein content of Lentinus edodes under different drying parametersNote:Different small letters in the figure indicate significant differences at P<0.05 level.
序号 Number | X1 | X2 | X3 | Y1 | Y2/(mg·g-1) | Y3/h |
---|---|---|---|---|---|---|
1 | 0 | -1 | -1 | 3.56 | 45.15 | 15.00 |
2 | -1 | 1 | 0 | 4.40 | 40.32 | 13.50 |
3 | 0 | 0 | 0 | 4.22 | 35.24 | 14.50 |
4 | -1 | -1 | 0 | 5.48 | 40.66 | 14.50 |
5 | 1 | 0 | -1 | 3.87 | 42.40 | 13.50 |
6 | 0 | 0 | 0 | 3.92 | 38.72 | 13.50 |
7 | 1 | 1 | 0 | 3.38 | 37.85 | 15.00 |
8 | 0 | 1 | -1 | 3.17 | 44.82 | 13.00 |
9 | 1 | -1 | 0 | 3.95 | 51.05 | 16.50 |
10 | -1 | 0 | 1 | 4.84 | 40.74 | 15.00 |
11 | 0 | 0 | 0 | 4.52 | 37.49 | 14.00 |
12 | 0 | 0 | 0 | 4.26 | 36.24 | 14.00 |
13 | 0 | -1 | 1 | 5.02 | 51.77 | 16.00 |
14 | 1 | 0 | 1 | 3.67 | 42.34 | 17.00 |
15 | 0 | 1 | 1 | 4.04 | 47.68 | 14.00 |
16 | -1 | 0 | -1 | 4.36 | 42.14 | 12.50 |
17 | 0 | 0 | 0 | 4.17 | 38.11 | 14.00 |
表3 响应曲面试验条件及结果
Table 3 Response surface experimental conditions and results
序号 Number | X1 | X2 | X3 | Y1 | Y2/(mg·g-1) | Y3/h |
---|---|---|---|---|---|---|
1 | 0 | -1 | -1 | 3.56 | 45.15 | 15.00 |
2 | -1 | 1 | 0 | 4.40 | 40.32 | 13.50 |
3 | 0 | 0 | 0 | 4.22 | 35.24 | 14.50 |
4 | -1 | -1 | 0 | 5.48 | 40.66 | 14.50 |
5 | 1 | 0 | -1 | 3.87 | 42.40 | 13.50 |
6 | 0 | 0 | 0 | 3.92 | 38.72 | 13.50 |
7 | 1 | 1 | 0 | 3.38 | 37.85 | 15.00 |
8 | 0 | 1 | -1 | 3.17 | 44.82 | 13.00 |
9 | 1 | -1 | 0 | 3.95 | 51.05 | 16.50 |
10 | -1 | 0 | 1 | 4.84 | 40.74 | 15.00 |
11 | 0 | 0 | 0 | 4.52 | 37.49 | 14.00 |
12 | 0 | 0 | 0 | 4.26 | 36.24 | 14.00 |
13 | 0 | -1 | 1 | 5.02 | 51.77 | 16.00 |
14 | 1 | 0 | 1 | 3.67 | 42.34 | 17.00 |
15 | 0 | 1 | 1 | 4.04 | 47.68 | 14.00 |
16 | -1 | 0 | -1 | 4.36 | 42.14 | 12.50 |
17 | 0 | 0 | 0 | 4.17 | 38.11 | 14.00 |
方差来源 Source of variance | Y1 | Y2 | Y3 | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
总和 Sum | 自由度 Degree of freedom | 平均值 Average value | F值 F value | P值 P value | 总和 Sum | 自由度 Degree of freedom | 平均值 Average value/(mg·g-1) | F值 F value | P值 P value | 总和 Sum | 自由度 Degree of freedom | 平均值 Average value/h | F值 F value | P值 P value | |
模型 Model | 4.76 | 9 | 0.53 | 4.52 | 0.029 7 | 338.30 | 9 | 37.59 | 6.94 | 0.009 1 | 20.63 | 9 | 2.29 | 5.70 | 0.015 9 |
X1 | 2.22 | 1 | 2.22 | 18.95 | 0.003 3 | 11.96 | 1 | 11.96 | 2.21 | 0.181 0 | 5.28 | 1 | 5.28 | 13.14 | 0.008 4 |
X2 | 1.14 | 1 | 1.14 | 9.75 | 0.016 8 | 40.32 | 1 | 40.32 | 7.44 | 0.029 4 | 5.28 | 1 | 5.28 | 13.14 | 0.008 4 |
X3 | 0.85 | 1 | 0.85 | 7.28 | 0.030 7 | 8.04 | 1 | 8.04 | 1.48 | 0.262 6 | 8.00 | 1 | 8.00 | 19.91 | 0.002 9 |
X1X2 | 0.07 | 1 | 0.07 | 0.56 | 0.480 0 | 41.34 | 1 | 41.34 | 7.63 | 0.028 0 | 0.06 | 1 | 0.06 | 0.16 | 0.705 0 |
X1X3 | 0.12 | 1 | 0.12 | 0.99 | 0.353 1 | 0.45 | 1 | 0.45 | 0.08 | 0.781 8 | 0.25 | 1 | 0.25 | 0.62 | 0.456 1 |
X2X3 | 0.09 | 1 | 0.09 | 0.74 | 0.416 8 | 3.53 | 1 | 3.53 | 0.65 | 0.445 8 | 0.00 | 1 | 0.00 | 0.00 | 1.000 0 |
X12 | 0.11 | 1 | 0.11 | 0.93 | 0.366 1 | 0.02 | 1 | 0.02 | 0.38×10-2 | 0.952 5 | 0.81 | 1 | 0.81 | 2.01 | 0.199 6 |
X22 | 0.02 | 1 | 0.02 | 0.21 | 0.660 0 | 121.87 | 1 | 121.87 | 22.49 | 0.002 1 | 0.81 | 1 | 0.81 | 2.01 | 0.199 6 |
X32 | 0.16 | 1 | 0.16 | 1.36 | 0.282 4 | 97.62 | 1 | 97.62 | 18.02 | 0.003 8 | 0.02 | 1 | 0.02 | 0.04 | 0.845 4 |
残差 Residual | 0.82 | 7 | 0.17 | — | — | 37.93 | 7 | 5.42 | — | — | 2.81 | 7 | 0.40 | — | — |
失拟性 Lack of fit | 0.63 | 3 | 0.21 | 4.59 | 0.087 5 | 29.95 | 3 | 9.98 | 5.01 | 0.076 9 | 2.31 | 3 | 0.77 | 6.17 | 0.055 6 |
纯误差 Pure error | 0.18 | 4 | 0.05 | — | — | 7.98 | 4 | 1.99 | — | — | 0.50 | 4 | 0.13 | — | — |
总离差 Total deviation | 5.57 | 16 | — | — | — | 376.23 | 16 | — | — | — | 23.44 | 16 | — | — | — |
表4 香菇色差回归方程系数及方差分析
Table 4 Mushroom color difference regression equation coefficient and variance analysis table
方差来源 Source of variance | Y1 | Y2 | Y3 | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
总和 Sum | 自由度 Degree of freedom | 平均值 Average value | F值 F value | P值 P value | 总和 Sum | 自由度 Degree of freedom | 平均值 Average value/(mg·g-1) | F值 F value | P值 P value | 总和 Sum | 自由度 Degree of freedom | 平均值 Average value/h | F值 F value | P值 P value | |
模型 Model | 4.76 | 9 | 0.53 | 4.52 | 0.029 7 | 338.30 | 9 | 37.59 | 6.94 | 0.009 1 | 20.63 | 9 | 2.29 | 5.70 | 0.015 9 |
X1 | 2.22 | 1 | 2.22 | 18.95 | 0.003 3 | 11.96 | 1 | 11.96 | 2.21 | 0.181 0 | 5.28 | 1 | 5.28 | 13.14 | 0.008 4 |
X2 | 1.14 | 1 | 1.14 | 9.75 | 0.016 8 | 40.32 | 1 | 40.32 | 7.44 | 0.029 4 | 5.28 | 1 | 5.28 | 13.14 | 0.008 4 |
X3 | 0.85 | 1 | 0.85 | 7.28 | 0.030 7 | 8.04 | 1 | 8.04 | 1.48 | 0.262 6 | 8.00 | 1 | 8.00 | 19.91 | 0.002 9 |
X1X2 | 0.07 | 1 | 0.07 | 0.56 | 0.480 0 | 41.34 | 1 | 41.34 | 7.63 | 0.028 0 | 0.06 | 1 | 0.06 | 0.16 | 0.705 0 |
X1X3 | 0.12 | 1 | 0.12 | 0.99 | 0.353 1 | 0.45 | 1 | 0.45 | 0.08 | 0.781 8 | 0.25 | 1 | 0.25 | 0.62 | 0.456 1 |
X2X3 | 0.09 | 1 | 0.09 | 0.74 | 0.416 8 | 3.53 | 1 | 3.53 | 0.65 | 0.445 8 | 0.00 | 1 | 0.00 | 0.00 | 1.000 0 |
X12 | 0.11 | 1 | 0.11 | 0.93 | 0.366 1 | 0.02 | 1 | 0.02 | 0.38×10-2 | 0.952 5 | 0.81 | 1 | 0.81 | 2.01 | 0.199 6 |
X22 | 0.02 | 1 | 0.02 | 0.21 | 0.660 0 | 121.87 | 1 | 121.87 | 22.49 | 0.002 1 | 0.81 | 1 | 0.81 | 2.01 | 0.199 6 |
X32 | 0.16 | 1 | 0.16 | 1.36 | 0.282 4 | 97.62 | 1 | 97.62 | 18.02 | 0.003 8 | 0.02 | 1 | 0.02 | 0.04 | 0.845 4 |
残差 Residual | 0.82 | 7 | 0.17 | — | — | 37.93 | 7 | 5.42 | — | — | 2.81 | 7 | 0.40 | — | — |
失拟性 Lack of fit | 0.63 | 3 | 0.21 | 4.59 | 0.087 5 | 29.95 | 3 | 9.98 | 5.01 | 0.076 9 | 2.31 | 3 | 0.77 | 6.17 | 0.055 6 |
纯误差 Pure error | 0.18 | 4 | 0.05 | — | — | 7.98 | 4 | 1.99 | — | — | 0.50 | 4 | 0.13 | — | — |
总离差 Total deviation | 5.57 | 16 | — | — | — | 376.23 | 16 | — | — | — | 23.44 | 16 | — | — | — |
参数 Parameter | 优化结果 Optimization results | 相对湿度 Relative humidity/% | 风速 Wind speed/(m·s-1) | 单位载荷量 Unit load/(kg·m-2) |
---|---|---|---|---|
色差 Chromatic aberration | 3.301 | 33.58 | 5.0 | 4.0 |
水溶性蛋白含量 Water-soluble protein content/(mg·g-1) | 55.02 | 33.80 | 3.0 | 8.0 |
干燥时间 Drying time/h | 12.57 | 27.69 | 4.8 | 4.0 |
表5 单目标优化结果
Table 5 Model regression validation data
参数 Parameter | 优化结果 Optimization results | 相对湿度 Relative humidity/% | 风速 Wind speed/(m·s-1) | 单位载荷量 Unit load/(kg·m-2) |
---|---|---|---|---|
色差 Chromatic aberration | 3.301 | 33.58 | 5.0 | 4.0 |
水溶性蛋白含量 Water-soluble protein content/(mg·g-1) | 55.02 | 33.80 | 3.0 | 8.0 |
干燥时间 Drying time/h | 12.57 | 27.69 | 4.8 | 4.0 |
方差来源 Source of variance | 总和 Sum | 自由度 Degree of freedom | 平均值 Average value | F值 F value | P值 P value |
---|---|---|---|---|---|
模型 Model | 0.308 6 | 9 | 0.034 3 | 4.11 | 0.038 0 |
X1 | 0.014 1 | 1 | 0.014 1 | 1.69 | 0.234 4 |
X2 | 0.002 5 | 1 | 0.002 5 | 0.30 | 0.600 7 |
X3 | 0.030 0 | 1 | 0.030 0 | 3.59 | 0.100 1 |
X1X2 | 0.042 4 | 1 | 0.042 4 | 5.08 | 0.058 8 |
X1X3 | 0.000 6 | 1 | 0.000 6 | 0.07 | 0.793 0 |
X2X3 | 0.000 8 | 1 | 0.000 8 | 0.09 | 0.771 4 |
X12 | 0.007 5 | 1 | 0.007 5 | 0.90 | 0.374 8 |
X22 | 0.091 0 | 1 | 0.091 0 | 10.90 | 0.013 1 |
X32 | 0.113 3 | 1 | 0.113 3 | 13.56 | 0.007 8 |
残差 Residual | 0.058 5 | 7 | 0.008 4 | — | — |
失拟性 Lack of fit | 0.038 0 | 3 | 0.012 7 | 2.49 | 0.199 9 |
纯误差 Pure error | 0.020 4 | 4 | 0.005 1 | — | — |
总离差 Total deviation | 0.367 0 | 16 | — | — | — |
表6 香菇综合评分回归方程系数及方差
Table 6 Mushroom drying time regression equation coefficient and variance analysis table
方差来源 Source of variance | 总和 Sum | 自由度 Degree of freedom | 平均值 Average value | F值 F value | P值 P value |
---|---|---|---|---|---|
模型 Model | 0.308 6 | 9 | 0.034 3 | 4.11 | 0.038 0 |
X1 | 0.014 1 | 1 | 0.014 1 | 1.69 | 0.234 4 |
X2 | 0.002 5 | 1 | 0.002 5 | 0.30 | 0.600 7 |
X3 | 0.030 0 | 1 | 0.030 0 | 3.59 | 0.100 1 |
X1X2 | 0.042 4 | 1 | 0.042 4 | 5.08 | 0.058 8 |
X1X3 | 0.000 6 | 1 | 0.000 6 | 0.07 | 0.793 0 |
X2X3 | 0.000 8 | 1 | 0.000 8 | 0.09 | 0.771 4 |
X12 | 0.007 5 | 1 | 0.007 5 | 0.90 | 0.374 8 |
X22 | 0.091 0 | 1 | 0.091 0 | 10.90 | 0.013 1 |
X32 | 0.113 3 | 1 | 0.113 3 | 13.56 | 0.007 8 |
残差 Residual | 0.058 5 | 7 | 0.008 4 | — | — |
失拟性 Lack of fit | 0.038 0 | 3 | 0.012 7 | 2.49 | 0.199 9 |
纯误差 Pure error | 0.020 4 | 4 | 0.005 1 | — | — |
总离差 Total deviation | 0.367 0 | 16 | — | — | — |
响应值 Response value | 色差 Chromatic aberration | 水溶性蛋白含量 Water-soluble protein content/(mg·g-1) | 干燥时间 Drying time/h |
---|---|---|---|
预测值 Predictive value | 3.58 | 46.39 | 12.5 |
试验值 Experimental value | 3.79 | 49.82 | 13.5 |
相对误差 Relative error/% | 5.5 | 6.9 | 7.4 |
表7 试验值与预测值对比
Table 7 Comparison of experimental value and predicted value
响应值 Response value | 色差 Chromatic aberration | 水溶性蛋白含量 Water-soluble protein content/(mg·g-1) | 干燥时间 Drying time/h |
---|---|---|---|
预测值 Predictive value | 3.58 | 46.39 | 12.5 |
试验值 Experimental value | 3.79 | 49.82 | 13.5 |
相对误差 Relative error/% | 5.5 | 6.9 | 7.4 |
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