Health Condition Evaluation for a Shearer through the Integration of a Fuzzy Neural Network and Improved Particle Swarm Optimization Algorithm
Abstract
:1. Introduction
2. Literature Review
2.1. Relevant Studies on Shearer Health Condition
2.2. Relevant Improvements for Fuzzy Neural Network
2.3. Discussion
3. The Proposed Approach
3.1. Fuzzy Neural Network (FNN)
3.2. Improved Particle Swarm Optimization Algorithm
3.3. Optimizing the Parameters of FNN with IPSO
- Step 1
- Initialize the particle swarm size M, the maximum of generations tmax, the maximum inertial weight αmax, the minimum inertial weight αmin, c1 and c2, r1 and r2, [Vmin, Vmax], the number of input variables k, the number of neurons in the hidden layer n, H, and set D = 2kn + n, t = 1;
- Step 2
- Update the velocity Vi and position Xi of each particle according to Equations (6) and (7), respectively. Synchronously, update the inertial weight α according to Equation (8);
- Step 3
- The individual best Pi is compared with each particle; if Pi is worse than the fitness value of each particle, then Pi is updated as current position;
- Step 4
- The global best Pg is compared with individual best Pi of each particle; if Pg is worse than Pi, then Pg is updated as current position;
- Step 5
- If the convergence criteria or one of the stopping criteria (generally, a sufficiently good fitness or maximum iteration is met) is satisfied, go to step 7;
- Step 6
- The group fitness variance δ2 is calculated through Equations (9) and (10). If δ2 < H, the velocity and position of the premature particles are updated according to Equations (11) and (7), and the inertial weight α is updated according to Equation (8), go back to Step 3; otherwise, go back to Step 2. Let t = t + 1; and
- Step 7
- The optimal parameters c, σ, and ω of the FNN model can be obtained.
4. Experiment and Discussion
4.1. Sample Data Preparation
4.2. Experiment Results
5. Field Application
6. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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Notation | Variable |
---|---|
x1 | Cutting motor current (CC) |
x2 | Traction motor current (TC) |
x3 | Cutting part temperature (CT) |
x4 | Traction speed (TS) |
y | The health grade of shearer |
Dataset Number | Notation | Training Samples | Testing Samples |
---|---|---|---|
1 | S1 | 300 | 100 |
2 | S2 | 400 | 100 |
3 | S3 | 500 | 100 |
4 | S4 | 600 | 100 |
5 | S5 | 700 | 100 |
6 | S6 | 800 | 100 |
Models | Indices | Datasets | |||||
---|---|---|---|---|---|---|---|
S1 | S2 | S3 | S4 | S5 | S6 | ||
IPSO-FNN | MSE | 0.0089 | 0.0085 | 0.0079 | 0.0074 | 0.0084 | 0.0085 |
MAE | 0.0653 | 0.0619 | 0.0536 | 0.0516 | 0.0571 | 0.0556 | |
MAPE | 2.41% | 2.23% | 2.09% | 2.05% | 2.14% | 2.11% | |
TIC | 0.0109 | 0.0095 | 0.0083 | 0.0075 | 0.0086 | 0.0088 | |
TT (s) | 5.75 | 6.81 | 8.18 | 8.96 | 9.62 | 10.95 | |
PSO-FNN | MSE | 0.0098 | 0.0093 | 0.0089 | 0.0081 | 0.0093 | 0.0092 |
MAE | 0.0715 | 0.0684 | 0.0617 | 0.0608 | 0.0622 | 0.0624 | |
MAPE | 2.86% | 2.74% | 2.55% | 2.51% | 2.57% | 2.54% | |
TIC | 0.0129 | 0.0112 | 0.0094 | 0.0081 | 0.0090 | 0.0092 | |
TT (s) | 5.23 | 6.78 | 7.54 | 8.67 | 9.77 | 10.23 | |
GA-FNN | MSE | 0.0097 | 0.0094 | 0.0091 | 0.0079 | 0.0089 | 0.0091 |
MAE | 0.0719 | 0.0708 | 0.0671 | 0.0611 | 0.0629 | 0.0622 | |
MAPE | 2.89% | 2.83% | 2.68% | 2.55% | 2.61% | 2.56% | |
TIC | 0.0133 | 0.0104 | 0.0091 | 0.0083 | 0.0092 | 0.0094 | |
TT (s) | 5.86 | 7.01 | 7.97 | 8.84 | 10.12 | 11.08 | |
FNN | MSE | 0.0135 | 0.0115 | 0.0109 | 0.0095 | 0.0102 | 0.0106 |
MAE | 0.0912 | 0.0901 | 0.0841 | 0.0810 | 0.0853 | 0.0846 | |
MAPE | 3.65% | 3.52% | 3.48% | 3.29% | 3.36% | 3.34% | |
TIC | 0.0157 | 0.0124 | 0.0108 | 0.0101 | 0.0112 | 0.0110 | |
TT (s) | 12.85 | 14.22 | 15.14 | 16.20 | 17.13 | 18.78 | |
BPNN | MSE | 0.0128 | 0.0112 | 0.0106 | 0.0096 | 0.0097 | 0.0098 |
MAE | 0.0901 | 0.0867 | 0.0855 | 0.0816 | 0.0844 | 0.0837 | |
MAPE | 3.64% | 3.53% | 3.50% | 3.31% | 3.40% | 3.39% | |
TIC | 0.0148 | 0.0121 | 0.0106 | 0.0098 | 0.0106 | 0.0104 | |
TT (s) | 11.55 | 13.95 | 15.66 | 16.53 | 17.64 | 18.94 | |
SVR | MSE | 0.0125 | 0.0119 | 0.0102 | 0.0097 | 0.0096 | 0.0098 |
MAE | 0.0894 | 0.0867 | 0.0806 | 0.0768 | 0.0759 | 0.0761 | |
MAPE | 3.56% | 3.52% | 3.49% | 3.26% | 3.22% | 3.31% | |
TIC | 0.0134 | 0.0125 | 0.0101 | 0.0098 | 0.0101 | 0.0099 | |
TT (s) | 12.02 | 13.85 | 14.64 | 15.95 | 17.01 | 17.58 |
Algorithms | Training Phase | Testing Phase | |||
---|---|---|---|---|---|
MSE | MAPE (%) | TT (s) | MSE | MAPE (%) | |
PSO | 0.0056 | 2.24 | 8.67 | 0.0081 | 2.51 |
QPSO | 0.0051 | 1.91 | 9.11 | 0.0076 | 2.09 |
OLB-QPSO | 0.0039 | 1.81 | 10.24 | 0.0069 | 1.98 |
LPSO | 0.0042 | 1.83 | 10.67 | 0.0071 | 2.01 |
Proposed IPSO | 0.0047 | 1.86 | 8.96 | 0.0074 | 2.05 |
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Si, L.; Wang, Z.; Liu, Z.; Liu, X.; Tan, C.; Xu, R. Health Condition Evaluation for a Shearer through the Integration of a Fuzzy Neural Network and Improved Particle Swarm Optimization Algorithm. Appl. Sci. 2016, 6, 171. https://doi.org/10.3390/app6060171
Si L, Wang Z, Liu Z, Liu X, Tan C, Xu R. Health Condition Evaluation for a Shearer through the Integration of a Fuzzy Neural Network and Improved Particle Swarm Optimization Algorithm. Applied Sciences. 2016; 6(6):171. https://doi.org/10.3390/app6060171
Chicago/Turabian StyleSi, Lei, Zhongbin Wang, Ze Liu, Xinhua Liu, Chao Tan, and Rongxin Xu. 2016. "Health Condition Evaluation for a Shearer through the Integration of a Fuzzy Neural Network and Improved Particle Swarm Optimization Algorithm" Applied Sciences 6, no. 6: 171. https://doi.org/10.3390/app6060171
APA StyleSi, L., Wang, Z., Liu, Z., Liu, X., Tan, C., & Xu, R. (2016). Health Condition Evaluation for a Shearer through the Integration of a Fuzzy Neural Network and Improved Particle Swarm Optimization Algorithm. Applied Sciences, 6(6), 171. https://doi.org/10.3390/app6060171