Analysis of Torque, Speed, and Power Requirements in Electric Rope Shovel Loading Cycles using Kinematic and Dynamic Models
| International Journal of Electrical and Electronics Engineering |
| © 2026 by SSRG - IJEEE Journal |
| Volume 13 Issue 1 |
| Year of Publication : 2026 |
| Authors : Junior Rolando Chavez Peralta, German Alberto Echaiz Espinoza, Carmelo Mayta Ojeda, Fernando Enrique Echaiz Espinoza |
10.14445/23488379/IJEEE-V13I1P108
How to Cite?
Junior Rolando Chavez Peralta, German Alberto Echaiz Espinoza, Carmelo Mayta Ojeda, Fernando Enrique Echaiz Espinoza, "Analysis of Torque, Speed, and Power Requirements in Electric Rope Shovel Loading Cycles using Kinematic and Dynamic Models," SSRG International Journal of Electrical and Electronics Engineering, vol. 13, no. 1, pp. 69-94, 2026. Crossref, https://doi.org/10.14445/23488379/IJEEE-V13I1P108
Abstract:
This article presents an integrated kinematic and dynamic analysis of the electric rope shovel and the torque, speed, and electrical power demands of the main actuators (swing, hoist, and crowd) during the loading cycle. We combine (i) a 4-degree-of-freedom articulated mechanical model with three rotating joints and one prismatic joint, modeling developed following the steps of the Denavit–Hartenberg methodology; (ii) Newton–Euler dynamic formulation to compute joint torques and link forces; and (iii) processing of field records to parameterize and validate the simulations. MATLAB scripts were used for model implementation, forward kinematics, dynamic simulation, and signal processing of measured motor torque, speed, and power traces. Results show that (a) the developed kinematic and dynamic model is a typical truck loading cycle; (b) regenerative vector-controlled AC drives enable substantial energy regeneration—most notably in swing motion and to a lesser extent in hoist and crowd motions; and (c) differences between simulated and field records of torques are within operational margins during the loading cycle. The results of the simulations, as well as the analysis of energy consumption and regeneration, demonstrate that these tools can facilitate the identification of opportunities to implement improved operational practices, thereby ensuring optimal and safe performance of electric rope shovels. The study contributes (1) the development of a kinematic and dynamic model for electric rope shovels, (2) data analysis and visualization using MATLAB for optimal performance monitoring of the electric rope shovels, and (3) an analysis of energy consumption and regeneration during the truck loading cycle.
Keywords:
Dynamic modeling, Electric rope shovels, Homogeneous transformation, Kinematic modeling, Variable speed drive.
References:
[1] Bud Fox, Leslie Stephen Jennings, and Albert Y.H. Zomaya, “On the Modelling of Actuator Dynamics and the Computation of Prescribed Trajectories,” Computers and Structures, vol. 80, no. 7-8, pp. 605-614, 2002.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Hongjin Wu, “Modelling and Simulation of Electric Mining Shovels,” M.Sc. Thesis, McGill University, Quebec, Canadá, 1995.
[Google Scholar] [Publisher Link]
[3] Minchang Sung, and Youngjin Choi, “Algorithmic Modified Denavit-Hartenberg Modeling for Robotic Manipulators using Line Geometry,” Applied Sciences, vol. 15, no. 9, pp. 1-29, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Samuel Frimpong, Yafei Hu, and Kwame Awuah-Offei, “Mechanics of Cable Shovel-Formation Interactions in Surface Mining Excavations,” Journal of Terramechanics, vol. 42, no. 1, pp. 15-33, 2005.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Jisong Ding, Huafeng Ding, and Wenjian Yang, “Dynamic Modeling of a Novel Multi-Loop Multi-Body Mechanism of Face-Shovel Excavator,” Chinese Journal of Mechanical Engineering, vol. 38, no. 1, pp. 1-17, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Jose Rodriguez et al., “Operating Experience of Shovel Drives for Mining Applications,” IEEE Transactions on Industry Applications, vol. 40, no. 2, pp. 664-671, 2004.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Premananda Pany, “Design and Control of Active Front End Converters for Traction Application,” International Journal of Scientific Engineering and Research, vol. 6, no. 6, pp. 70-74, 2018.
[Google Scholar] [Publisher Link]
[8] Wei Zhang et al., “Research on Regenerative Braking of Pure Electric Mining Dump Truck,” World Electric Vehicle Journal, vol. 10, no. 2, pp. 1-17, 2019.
[CrossRef] [Google Scholar] [Publisher Link]
[9] Juan S. Gómez et al., “An Overview of Microgrids Challenges in the Mining Industry,” IEEE Access, vol. 8, pp. 191378-191393, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Hao Feng et al., “Multi-Objective Time-Energy-Impact Optimization for Robotic Excavator Trajectory Planning,” Automation in Construction, vol. 156, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Karol Cieślik et al., “The Influence of the Operator’s Perception on the Energy Demand for a Hydraulic Manipulator with a Large Working Area,” Applied Sciences, vol. 14, no. 5, pp. 1-19, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[12] Frank A. Bender et al., “Predictive Operator Modeling for Virtual Prototyping of Hydraulic Excavators,” Automation in Construction, vol. 84, pp. 133-145, 2017.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Guodong Liang et al., “Dynamic Modeling and Analysis of Loader Working Mechanism Considering Cooperative Motion with the Vehicle Body,” Machines, vol. 11, no. 1, pp. 1-27, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[14] John J. Craig, Introduction to Robotics: Mechanics and Control, 3rd ed., Pearson Education India, 2009.
[Google Scholar]
[15] Antonio Barrientos et al., Fundamentals of Robotics, 2nd ed., McGraw Hill, 2007.
[Google Scholar]
[16] Matías Valenzuela Guzmán, and M. Aníbal Valenzuela, “Integrated Mechanical-Electrical Modeling of an AC Electric Mining Shovel and Evaluation of Power Requirements During a Truck Loading Cycle,” IEEE Transactions on Industry Applications, vol. 51, no. 3, pp. 2590-2599, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[17] Abdolrasul Rasuli, Shahram Tafazoli, and William G. Dunford, “Dynamic Modeling, Parameter Identification, and Payload Estimation of Mining Cable Shovels,” 2014 IEEE Industry Application Society Annual Meeting, Vancouver, BC, Canada, pp. 1-9, 2014.
[CrossRef] [Google Scholar] [Publisher Link]
[18] Peter Corke, “Robot Manipulator Capability in MATLAB: A Tutorial on using the Robotics System Toolbox [Tutorial],” IEEE Robotics and Automation Magazine, vol. 24, no. 3, pp. 165-166, 2017.
[CrossRef] [Google Scholar] [Publisher Link]
[19] Peter Corke, Witold Jachimczyk, and Remo Pillat, Robotics, Vision and Control: Fundamental Algorithms in MATLAB, 3rd ed., Springer Cham, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[20] Joseph E. Shigley, Charles R. Mischke, and Richard G. Budynas, Mechanical Engineering Design, New York: Mc Graw-Hill, 2004.
[Google Scholar]
[21] G.M. Brown, B.J. Elbacher, and Walter G. Koellner, “Increased Productivity with AC Drives for Mining Excavators and Haul Trucks,” Conference Record of the 2000 IEEE Industry Applications Conference. Thirty-Fifth IAS Annual Meeting and World Conference on Industrial Applications of Electrical Energy (Cat. No.00CH37129), Rome, Italy, vol. 1, pp. P28-P37, 2000.
[CrossRef] [Google Scholar] [Publisher Link]
[22] Joy Mazumdar, “Regeneration Energy Management in AC Mining Drives for Providing Control Power,” 2009 IEEE Industry Applications Society Annual Meeting, Houston, TX, USA, pp. 1-5, 2009.
[CrossRef] [Google Scholar] [Publisher Link]