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Spatial Straight-Line Drawing Algorithm Based on Method of Discriminate Regions—A Control Algorithm of Motors

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Listed:
  • Jianping Wang

    (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, China)

  • Shiguang Xiao

    (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, China)

  • Tao Song

    (State Grid Jiaozuo Power Supply Company, Jiaozuo 454000, China)

  • Junqi Yue

    (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, China)

  • Pingyan Bian

    (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, China)

  • Yu Li

    (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, China)

Abstract

A novelty algorithm of spatial straight-line drawing based on a method of discriminate regions is proposed in this paper based on Bresenham’s algorithm. Three-dimensional space is divided into innumerable three-dimensional meshes according to the given rule; the distance between the start and the end points of the three coordinates is Δx , Δy , and Δz , respectively; the distribution types of spatial straight line and the position of the end point are determined by judging the relationship among Δx , Δy , and Δz ; then, the active-passive directions can be determined. The plane of the ending point of the straight line in a three-dimensional mesh is divided into four regions; then, the discriminant is obtained; and this discriminant determine which region the point is located in The algorithm is verified and analyzed by the method of contrastive analysis; the results show that: the error of the algorithm is related to the step length L; the maximum theoretical error is 0.7071*L. The discriminants are all integers, so the problem of deviation from the theoretical straight line caused by the retention of decimals of significant digits can be avoided. Finally, the algorithm is applied to the cooperative control of multiple motors, and conversion between unit grid number and pulse number of motors is performed.

Suggested Citation

  • Jianping Wang & Shiguang Xiao & Tao Song & Junqi Yue & Pingyan Bian & Yu Li, 2020. "Spatial Straight-Line Drawing Algorithm Based on Method of Discriminate Regions—A Control Algorithm of Motors," Energies, MDPI, vol. 13(19), pages 1-16, September.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:19:p:5002-:d:417989
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    References listed on IDEAS

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    1. Tehzeeb-ul Hassan & Rabeh Abbassi & Houssem Jerbi & Kashif Mehmood & Muhammad Faizan Tahir & Khalid Mehmood Cheema & Rajvikram Madurai Elavarasan & Farman Ali & Irfan Ahmad Khan, 2020. "A Novel Algorithm for MPPT of an Isolated PV System Using Push Pull Converter with Fuzzy Logic Controller," Energies, MDPI, vol. 13(15), pages 1-20, August.
    2. Jinhong Li & Dawei Meng, 2020. "Dynamic and Adjustable New Pattern Four-Vector SVPWM Algorithm for Application in a Five-Phase Induction Motor," Energies, MDPI, vol. 13(7), pages 1-21, April.
    3. Cieśliński, Jan L. & Moroz, Leonid V. & Walczyk, Cezary J., 2015. "Fast exact digital differential analyzer for circle generation," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 68-79.
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