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Study on theory and methods of payload online estimation for cable shovels

  • Qiushi Bi
  • Guoqiang Wang
  • Ruipeng YangEmail author
  • Yang Liu
  • Yanpeng Lu
  • Shaojie Xing
Review
  • 30 Downloads

Abstract

Cable shovels are one of the most widely used machines in open-pit mining industry. Precise estimation of payload can effectively avoid overload and underload for each dump, significantly improve the working performance of cable shovels and reduce the maintenance costs of haul trucks. In this research, an algorithm based on static analysis for payload online estimation was established, which took hoist force, crowd force and geometrical parameters of the working device as input variables for the situation when both hoist and crowd motors were hovering during the digging process. More specifically, the torque balance function was applied for payload calculation on the basis of the kinematic model built for evaluating the length of different force arms when the dipper handle stayed in different positions. In order to verify the efficiency of the payload online estimation algorithm, six different working positions and four different fullness states of the dipper were chosen for testing. And a testing system consisting of a 1/35 scale model of cable shovel, software of LabVIEW, hardware of cRIO and multi-types of sensors was designed and set up. Testing results show that the relative error between the theoretically calculated value and the real weight of payload is averagely less than 6% when the dipper was 40% fully filled and averagely less than 3% when the fullness reached 100%, which has proved the efficiency of the payload online estimation theory and methods established in this research.

Keywords

Cable shovel Payload Online estimation Torque balance Kinematic model 

List of symbols

The following symbols are used in the algorithm for cable shovel payload online estimation

\(l_{ij}\)

Distance between point \(i\) and point \(j\), \(i\) and \(j\) could be \(O_{1}\), \(O_{2}\), etc.

\(s_{i} ,\)\(c_{i}\)

\(\sin \theta_{i}\) and \(\cos \theta_{i}\), \(i\) could be \(\theta_{1}\), \(\theta_{2}\), \(\theta_{3}\)

\({}_{j}^{i} T\)

Homogeneous transformation matrix of the coordinate system \(\left\{ j \right\}\) relative to the coordinate system \(\left\{ i \right\}\), \(i\) and \(j\) could be \(a\), \(b\), \(c\)

\({}_{ }^{j} i\)

Homogeneous coordinate of the point \(i\) in the coordinate system \(\left\{ j \right\}\), \(i\) could be \(m_{1}\), \(m_{2}\), \(A\) …and \(j\) could be \(a\), \(b\), \(c\)

\(A\)

Lifting point for the hoist rope on shovel dipper, Fig. 3

\(B\)

Contact point between hoist rope and boom point sheave, Fig. 3

\(C\)

Center of rotation for boom point sheave, Fig. 3

\(O_{1}\)

Hinge joint between boom and swing base, Figs. 2 and 3

\(\left\{ a \right\}\)

Swing base coordinate system \(xO_{1} y\), Figs. 2 and 3

\(O_{2}\)

Hinge joint between boom and saddle block, Figs. 2 and 3

\(\left\{ b \right\}\)

Boom coordinate system \(xO_{2} y\), translation from \(\left\{ a \right\}\), Figs. 2 and 3

\(O_{3}\)

Central connection between dipper handle and saddle block, Figs. 2 and 3

\(\left\{ c \right\}\)

Dipper handle coordinate system \(xO_{3} y\), rotation and translation from \(\left\{ b \right\}\), Figs. 2 and 3

\(O_{4}\)

Connecting point between dipper handle and dipper, Figs. 2 and 3

\(\left\{ d \right\}\)

Dipper coordinate system \(xO_{4} y\), translation from \(\left\{ c \right\}\), Figs. 2 and 3

\(F_{l}\)

Hoist force acting at point \(A\), direction along \(\overrightarrow {AB}\), Fig. 2

\(F_{p}\)

Crowd force acting on handle, direction parallel to \(\overrightarrow {{O_{3} O_{4} }}\), Fig. 2

\(F_{b}\)

Braced force acting on saddle block, direction along \(\overrightarrow {{O_{2} O_{3} }}\), Fig. 2

\(m_{1,2,3,4}\)

Center of gravity of saddle block, dipper handle, dipper and bulk material, Fig. 3

\(G_{1,2,3,4}\)

Gravity of saddle block, dipper handle, dipper and bulk material, Fig. 2

\(\theta_{1}\)

Angle between direction \(\overrightarrow {{O_{1} O_{2} }}\) and \(\overrightarrow {{O_{1} x}}\) in coordinate \(\left\{ a \right\}\), Fig. 3

\(\theta_{2}\)

Angle between direction \(\overrightarrow {{O_{2} O_{3} }}\) and \(\overrightarrow {{O_{2} y}}\) in coordinate \(\left\{ b \right\}\), Fig. 3

\(\theta_{3}\)

Angle between direction \(\overrightarrow {{O_{2} C}}\) and \(\overrightarrow {{O_{3} x}}\) in coordinate \(\left\{ c \right\}\), Fig. 3

\(\theta_{4}\)

Angle between direction \(\overrightarrow {{O_{4} m_{3} }}\) and \(\overrightarrow {{O_{4} x}}\) in coordinate \(\left\{ d \right\}\), Fig. 3

\(\theta_{5}\)

Angle between direction \(\overrightarrow {{O_{4} m_{4} }}\) and \(\overrightarrow {{O_{4} x}}\) in coordinate \(\left\{ d \right\}\), Fig. 3

\(\theta_{6}\)

Angle between direction \(\overrightarrow {{O_{4} A}}\) and \(\overrightarrow {{O_{4} x}}\) in coordinate \(\left\{ d \right\}\), Fig. 3

\(\theta_{7}\)

Angle between direction \(\overrightarrow {{O_{2} C}}\) and \(\overrightarrow {{O_{2} x}}\) in coordinate \(\left\{ b \right\}\), Fig. 3

\(\theta_{8}\)

Roll angle of cable shovel, Fig. 5

\(\theta_{9}\)

Pitch angle of cable shovel, Fig. 5

\(l_{b}\)

Force arm of force \(F_{b}\) about point \(O_{2}\), \(F_{b}\) acting on point \(O_{2}\), \(l_{b} \equiv 0\)

\(l_{p}\)

Force arm of force \(F_{p}\) about point \(O_{2}\), Fig. 2

\(R_{p}\)

The pitch radius of the crowd gear

\(l_{1,2,3,4}\)

Force arm of force \(G_{1,2,3,4}\) about point \(O_{2}\), Fig. 2

\(l_{l}\)

Force arm of force \(F_{l}\) about point \(O_{2}\), Fig. 2

\({}_{ }^{b} i_{x}\)

Abscissa values of point \(i\) in coordinate \(\left\{ b \right\}\), \(i\) could be \(A\), \(B\), \(C\)

\({}_{ }^{b} i_{y}\)

Ordinate values of point \(i\) in coordinate \(\left\{ b \right\}\), \(i\) could be \(A\), \(B\), \(C\)

\(G_{4t}\)

Theoretically calculated value of payload

\(G_{4a}\)

Real weight of payload tested by scale

Notes

Acknowledgements

This study was supported by the National Natural Science Foundation of China (Grant no. 51775225) and the Shanxi Province Coal Basic Key Technologies Research and Development Program (Grant no. MJ2014-02).

References

  1. 1.
    Frimpong S, Hu Y, Awuah-Offei K (2005) Mechanics of cable shovel-formation interactions in surface mining excavations. J Terramechanics 42(1):15–33.  https://doi.org/10.1016/j.jterra.2004.06.002 CrossRefGoogle Scholar
  2. 2.
    Raza MA, Frimpong S (2017) Mechanics of electric rope shovel performance and reliability in formation excavation. In: Lagrangian mechanics. InTech.  https://doi.org/10.5772/65333
  3. 3.
    Rasuli A, Tafazoli S Dunford WG (2014) Dynamic modeling, parameter identification, and payload estimation of mining cable shovels. In: Industry applications society meeting, 2014 IEEE, pp 1–9.  https://doi.org/10.1109/ias.2014.6978451
  4. 4.
    Valenzuela GM, Valenzuela MA (2016) Payload estimation in AC electric mining shovels using drive signals. IEEE Trans Ind Appl 52(5):4470–4479.  https://doi.org/10.1109/TIA.2016.2574775 CrossRefGoogle Scholar
  5. 5.
    Valenzuela GM, Valenzuela MA (2015) Integrated mechanical-electrical modeling of an AC electric mining shovel and evaluation of power requirements during a truck loading cycle. IEEE Trans Ind Appl 51(3):2590–2599.  https://doi.org/10.1109/TIA.2014.2375378 CrossRefGoogle Scholar
  6. 6.
    Awuah-Offei K, Frimpong S (2007) Cable shovel digging optimization for energy efficiency. Mech Mach Theory 42(8):995–1006.  https://doi.org/10.1016/j.mechmachtheory.2006.07.008 CrossRefzbMATHGoogle Scholar
  7. 7.
    Awuah-Offei K (2006) Dynamic modeling of cable shovel-formation interactions for efficient oil sands excavation. Phd thesis. University of Missouri-Rolla. Source: https://www.researchgate.net/publication/33722345. Accessed 17 Jan 2018
  8. 8.
    Guo Y, Huang L, Qiu Y, Maramatsu M (2000) Inertia identification and auto-tuning of induction motor using MRAS. In: Proceedings of the third international conference on power electronics and motion control, 2000. IPEMC 2000, 2000 IEEE. pp 1006–1011.  https://doi.org/10.1109/ipemc.2000.884654
  9. 9.
    Khalil W, Gautier M, Lemoine P (2007) Identification of the payload inertial parameters of industrial manipulators. In: IEEE international conference on robotics and automation, 2007 IEEE. pp 4943–4948.  https://doi.org/10.1109/robot.2007.364241
  10. 10.
    Mcaree PR, Wauge DH (2012) Payload estimation of weight bearing machinery using multiple model adaptive estimator system and method. US Patent 8,311,970. Source: http://www.freepatentsonline.com/8311970.pdf. Accessed 19 Sept 2017
  11. 11.
    Janardhan V, Berry JK, Mintah B, Brandt EG, Price RJ, King KD, Tozawa S (2009) Payload system that compensates for rotational forces. US Patent 7,912,612. Source: http://www.freepatentsonline.com/7912612.pdf. Accessed 20 Sept 2017
  12. 12.
    Janardhan V, Berry JK, Mintah B, Brandt EG, Price RJ, King KD (2014) Payload system with center of gravity compensation. US Patent 8,660,758. Source: http://www.freepatentsonline.com/8660758.pdf. Accessed 18 Jan 2018
  13. 13.
    Mintah B, Price RJ, King KD, Janardhan V, Tozawa S (2012) Adaptive payload monitoring system. US Patent 8,156,048. Source: http://www.freepatentsonline.com/8156048.pdf. Accessed 18 Jan 2018
  14. 14.
    Hsu HP, King JC, Corder PJ (2012) Weight estimation for excavator payloads. US Patent 8,271,229. Source: http://www.freepatentsonline.com/8271229.pdf. Accessed 20 Sept 2017
  15. 15.
    Dunbabin M, Corke P (2006) Autonomous excavation using a rope shovel. J Field Robot 23(6–7):379–394.  https://doi.org/10.1002/rob.20132 CrossRefGoogle Scholar
  16. 16.
    Coetzee CJ, Els D (2009) The numerical modelling of excavator bucket filling using DEM. J Terramechanics 46(5):217–227.  https://doi.org/10.1016/j.jterra.2009.05.003 CrossRefGoogle Scholar
  17. 17.
    Coetzee CJ, Basson AH, Vermeer PA (2007) Discrete and continuum modelling of excavator bucket filling. Comput Part Mech 1(4):409–423.  https://doi.org/10.1016/j.jterra.2006.07.001 CrossRefGoogle Scholar
  18. 18.
    Sarata S, Weeramhaeng Y, Tsubouchi T (2005) Approach path generation to scooping position for wheel loader. In: IEEE international conference on robotics and automation, 2005 IEEE, pp 1809–1814.  https://doi.org/10.1109/robot.2005.1570376
  19. 19.
    Koyachi N, Sarata S (2009) Unmanned loading operation by autonomous wheel loader. In: ICCAS-SICE, 2009, 2009 IEEE, pp 2221–2225. INSPEC Accession Number: 10982665. Source: https://ieeexplore.ieee.org/document/5335253. Accessed 20 May 2017
  20. 20.
    Takei T, Hoshi T, Sarata S, Tsubouchi T (2015) Simultaneous determination of an optimal unloading point and paths between scooping points and the unloading point for a wheel loader. In: IEEE/RSJ international conference on intelligent robots and systems, 2015 IEEE, pp 5923–5929.  https://doi.org/10.1109/iros.2015.7354219
  21. 21.
    Rasimarzabadi R, Joseph TG (2016) Particle flow mechanism into cable shovel dippers. J Terramechanics 64:10–22.  https://doi.org/10.1016/j.jterra.2015.12.003 CrossRefGoogle Scholar
  22. 22.
    Rasuli AR (2012) Dynamic modeling, parameter identification, payload estimation, and non-contact arm geometry sensing of the mining cable shovel. Ph.D. thesis. University of British Columbia. Source: https://open.library.ubc.ca/cIRcle/collections/ubctheses/24/items/1.0073407. Accessed 25 Dec 2013

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.College of Mechanical Science and EngineeringJilin UniversityChangchunChina

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