A Method to Obtain Parameters of One-Column Jansen–Rit Model Using Genetic Algorithm and Spectral Characteristics
Abstract
:1. Introduction
2. Materials and Methods
2.1. Modeled Signal
2.2. Model Parameter Obtaining Process
2.2.1. Function Minimized in This Study
2.2.2. The Genetic Algorithm
2.2.3. Computation Complexity
2.3. Repeatability of the Method
2.4. Accuracy of the Method
2.5. Reference Signals Generation Process
2.6. Real, Measured Signal
3. Results
4. Discussion and Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Algorithm | Time | Found Optimum |
---|---|---|
Genetic algorithm | 1.000 | 0.161 |
Simulated annealing | 0.440 | 1.000 |
Particle swarm | 0.978 | 0.189 |
Surrogate optimization | 0.236 | 0.275 |
Parameter | Lower Search Range | Upper Search Range |
---|---|---|
A (mV) | 2.25 | 4.25 |
B (mV) | 12 | 32 |
C | 70 | 675 |
v0 (mV) | 5 | 7 |
e0 (s−1) | 2 | 3 |
r | 0.5 | 0.6 |
Lower noise limit (pps) | 50 | 300 |
Noise range (pps) | 200 | 1000 |
Parameter | Accuracy (Mean) | Accuracy (Std) | ICC |
---|---|---|---|
A (mV) | 0.794 | 0.272 | 0.897 |
B (mV) | 0.724 | 0.343 | 0.910 |
C | 0.853 | 0.189 | 0.978 |
v0 (mV) | 0.756 | 0.306 | 0.865 |
e0 (s−1) | 0.662 | 0.403 | 0.676 |
r | 0.700 | 0.384 | 0.733 |
Lower noise limit (pps) | 0.761 | 0.320 | 0.877 |
Noise range (pps) | 0.863 | 0.191 | 0.966 |
Parameter | Lower Range | Upper Range | Default Value | Obtained Value |
---|---|---|---|---|
A (mV) | 2.25 | 4.25 | 3.25 | 4.21 |
B (mV) | 12 | 32 | 22 | 12.06 |
C | 70 | 675 | 135 | 406.50 |
v0 (mV) | 5 | 7 | 6 | 6.60 |
e0 (s−1) | 2 | 3 | 2.5 | 2.92 |
r | 0.5 | 0.6 | 0.56 | 0.6 |
Lower noise limit (pps) | 50 | 300 | 120 | 278.77 |
Noise range (pps) | 200 | 1000 | 200 | 897.34 |
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Łysiak, A.; Paszkiel, S. A Method to Obtain Parameters of One-Column Jansen–Rit Model Using Genetic Algorithm and Spectral Characteristics. Appl. Sci. 2021, 11, 677. https://doi.org/10.3390/app11020677
Łysiak A, Paszkiel S. A Method to Obtain Parameters of One-Column Jansen–Rit Model Using Genetic Algorithm and Spectral Characteristics. Applied Sciences. 2021; 11(2):677. https://doi.org/10.3390/app11020677
Chicago/Turabian StyleŁysiak, Adam, and Szczepan Paszkiel. 2021. "A Method to Obtain Parameters of One-Column Jansen–Rit Model Using Genetic Algorithm and Spectral Characteristics" Applied Sciences 11, no. 2: 677. https://doi.org/10.3390/app11020677
APA StyleŁysiak, A., & Paszkiel, S. (2021). A Method to Obtain Parameters of One-Column Jansen–Rit Model Using Genetic Algorithm and Spectral Characteristics. Applied Sciences, 11(2), 677. https://doi.org/10.3390/app11020677