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Improved Track Algorithm of the Four-quadrant Position-sensing Detector

Improved Track Algorithm of the Four-quadrant Position-sensing Detector. Hau-Ming Huang 1 , Bing-Yuh Lu 1,2,* , Ming-Li Tung 1 , Mei Wang 1 , Yigh-Pyng Lin 1 , Jyi-Lai Shen 1 , Chi Wang 1 , Jen-Ming Hsiao 1 1 Tungnan University, Taipei, Taiwan 2 National Formosa University, Taiwan.

december
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Improved Track Algorithm of the Four-quadrant Position-sensing Detector

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  1. Improved Track Algorithm of the Four-quadrant Position-sensing Detector Hau-Ming Huang1, Bing-Yuh Lu1,2,*, Ming-Li Tung1, Mei Wang1, Yigh-Pyng Lin1, Jyi-Lai Shen1, Chi Wang1, Jen-Ming Hsiao1 1Tungnan University, Taipei, Taiwan 2National Formosa University, Taiwan

  2. Introduction: Traditional Approach of Four-quadrant Position-sensing Detector Iterations:

  3. Introduction

  4. Introduction: Improved Equations where C2=0.3 Beta=1.2

  5. Introduction: Improved Position Errors

  6. Methods • Simplify the questions

  7. Methods • Modify the shape difference of the circle and the square

  8. Methods • Add the buffer in the algorithm x_dis[n+1]=(x_dis[n]-x’)*[1-2*(|x’|+kx*x’2)] y_dis[n+1]=(y_dis[n]-y’)*[1-2*(|y’|+ky*y’2)] where kx=1+0.5*x’ ky=1+0.5*y’

  9. Results: The statistics of Monte Carlo simulation for average times and standard deviation of movements (where kd=[kx,ky])

  10. Method: Implementation of p • The value p is a ratio which is implemented with cascaded resistors in the principle of voltage division, or the floating point operation in microcontrollers. • In a low-cost microcontroller, such as the INTEL 8051 Series, the algorithm of division is complex.

  11. Method: Implementation of p • Ideally the values of the two cascaded resistors R1 and R2 should be: • That is:

  12. Results: cascaded resistors • We can improve the stability of p by taking R1=330kΩ, and R2=82kΩ to meet the requirements of frequently employed resistors in industry. That is, p=0.7853 with related error of 0.0074%.

  13. Results: digital computation p=3/4

  14. Results: digital computation p=3.14/4

  15. Discussion: Frequency response • Traditional: Hx(s)=1 Hy(s)=1 • RMN: anti-vibration of the PSD

  16. Discussion: Cost analysis of cascaded resistors • The optimal combinations of the cascaded resistors are: (1) in full surface mount device (SMD) board, the R1=330kΩ 1%, and R2=82kΩ 5% (2) in non-full SMD board, R1=330kΩ 1% (SMD), and R2=82kΩ 5% (carbon film) • From the perspectives on stability, precision, and cost.

  17. Conclusion • The RMN algorithm: Improves performance in speed, but requires few components in analog circuit design. Feasible to use the RMN algorithm in practical applications. • Global warming: Sun tracker for solar cell

  18. Acknowledgements • “The investigation of smart solar light tracker controller”, the Institute of Nuclear Energy Research, Atomic Energy Council, Taiwan

  19. Appreciate!

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