A Genetic-Algorithm-Optimized Fractal Model to Predict the Constriction Resistance From Surface Roughness Measurements

The electrical contact resistance greatly influences the thermal behavior of substation connectors and other electrical equipment. During the design stage of such electrical devices, it is essential to accurately predict the contact resistance to achieve an optimal thermal behavior, thus ensuring contact stability and extended service life. This paper develops a genetic algorithm (GA) approach to determine the optimal values of the parameters of a fractal model of rough surfaces to accurately predict the measured value of the surface roughness. This GA-optimized fractal model provides an accurate prediction of the contact resistance when the electrical and mechanical properties of the contacting materials, surface roughness, contact pressure, and apparent area of contact are known. Experimental results corroborate the usefulness and accuracy of the proposed approach. Although the proposed model has been validated for substation connectors, it can also be applied in the design stage of many other electrical equipments.

[1]  B. Mikic,et al.  THERMAL CONTACT CONDUCTANCE; THEORETICAL CONSIDERATIONS , 1974 .

[2]  Long Wei,et al.  Research on Relationship between Fractal Parameters and Compressive Stress of Metallic Gaskets , 2009, 2009 International Conference on Measuring Technology and Mechatronics Automation.

[3]  M. Paggi,et al.  Optimization algorithms for the solution of the frictionless normal contact between rough surfaces , 2015, 1506.00532.

[4]  A. Banerji,et al.  Fractal Symmetry of Protein Exterior , 2013, SpringerBriefs in Biochemistry and Molecular Biology.

[5]  I. Minowa,et al.  Computer simulation for the conductance of a contact interface. II , 1986 .

[6]  R. Holm Electric contacts; theory and application , 1967 .

[7]  H. Schmidt,et al.  Simulation of the Current Density Distribution within Electrical Contacts , 2010, 2010 Proceedings of the 56th IEEE Holm Conference on Electrical Contacts.

[8]  G. Proust,et al.  Stress-Dependent Electrical Contact Resistance at Fractal Rough Surfaces , 2017 .

[9]  Analytical studies of contact of nominally flat surfaces - Effect of previous loading , 1971 .

[10]  Kyriakos Komvopoulos,et al.  Three-Dimensional Contact Analysis of Elastic-Plastic Layered Media With Fractal Surface Topographies , 2001 .

[11]  Yixiang Gan,et al.  Contact mechanics of fractal surfaces by spline assisted discretisation , 2015, 2106.01466.

[12]  Witold Kinsner,et al.  Internal Leakage Detection in Electrohydrostatic Actuators Using Multiscale Analysis of Experimental Data , 2016, IEEE Transactions on Instrumentation and Measurement.

[13]  M. Ciavarella,et al.  The electrical/thermal conductance of rough surfaces¿¿the Weierstrass¿Archard multiscale model , 2004 .

[14]  Jordi-Roger Riba,et al.  Thermal behavior of energy-efficient substation connectors , 2016, 2016 10th International Conference on Compatibility, Power Electronics and Power Engineering (CPE-POWERENG).

[15]  Yujing Jiang,et al.  A multiple fractal model for estimating permeability of dual-porosity media , 2016 .

[16]  F. L. Jones Electric Contacts , 1947, Nature.

[17]  Ming-Chuan Leu,et al.  Fractal geometry modeling with applications in surface characterisation and wear prediction , 1995 .

[18]  C. Kwon,et al.  Genetic algorithm-based induction machine characterization procedure with application to maximum torque per amp control , 2006, IEEE Transactions on Energy Conversion.

[19]  Paul G. Slade,et al.  Electrical Contacts: Principles and Applications, Second Edition , 2014 .

[20]  Soroor Sarafrazi,et al.  A hybrid particle swarm optimization and multi-layer perceptron algorithm for bivariate fractal analysis of rock fractures roughness , 2013 .

[21]  Danielle Azar,et al.  A Combined Ant Colony Optimization and Simulated Annealing Algorithm to Assess Stability and Fault-Proneness of Classes Based on Internal Software Quality Attributes , 2016 .

[22]  M. Yovanovich,et al.  Four decades of research on thermal contact, gap, and joint resistance in microelectronics , 2005, IEEE Transactions on Components and Packaging Technologies.

[23]  Robert L. Jackson,et al.  Surface separation and contact resistance considering sinusoidal elastic–plastic multi-scale rough surface contact , 2010 .

[24]  Jordi-Roger Riba,et al.  Research Towards Energy-Efficient Substation Connectors , 2017 .

[25]  Stefan Preitl,et al.  Gravitational search algorithm-based design of fuzzy control systems with a reduced parametric sensitivity , 2013, Inf. Sci..

[26]  N. S. Kwak,et al.  Genetic-Algorithm-Based Controlling of Microcontact Distributions to Minimize Electrical Contact Resistance , 2012, IEEE Transactions on Components, Packaging and Manufacturing Technology.

[27]  Amitava Chatterjee,et al.  Lessons learned from using some bio-inspired optimizers for real-time controller design for a low-cost electrohydraulic system , 2016, Appl. Soft Comput..

[28]  Kyriakos Komvopoulos,et al.  Electrical contact resistance theory for conductive rough surfaces , 2003 .

[29]  Jordi-Roger Riba,et al.  Three-dimensional finite-element analysis of the short-time and peak withstand current tests in substation connectors , 2016 .

[30]  J. Greenwood Constriction resistance and the real area of contact , 1966 .

[31]  A. G. Chegini,et al.  An Effective Image Based Surface Roughness Estimation Approach Using Neural Network , 2006, 2006 World Automation Congress.

[33]  D. Martin,et al.  Optimal Tuning of a Networked Linear Controller Using a Multi-Objective Genetic Algorithm. Application to a Complex Electromechanical Process , 2008, 2008 3rd International Conference on Innovative Computing Information and Control.

[34]  L. H. Tanner,et al.  A study of the surface parameters of ground and lapped metal surfaces, using specular and diffuse reflection of laser light , 1976 .

[35]  Mohamed A. El-Sharkawi,et al.  Modern heuristic optimization techniques :: theory and applications to power systems , 2008 .

[36]  Helmut Kanter,et al.  Slow-Electron Mean Free Paths in Aluminum, Silver, and Gold , 1970 .

[37]  Leroy S. Fletcher,et al.  Thermal Contact Conductance of Spherical Rough Metals , 1997 .

[38]  M. Cooper,et al.  Thermal contact conductance , 1969 .

[39]  R. E. Simons,et al.  An Approximate Thermal Contact Conductance Correlation , 1993 .

[40]  F. F. Ling On Asperity Distributions of Metallic Surfaces , 1958 .

[41]  Majid Bahrami,et al.  Review of Thermal Joint Resistance Models for Nonconforming Rough Surfaces , 2006 .

[42]  Jordi-Roger Riba,et al.  Multi-objective optimal design of a five-phase fault-tolerant axial flux PM motor , 2015 .

[43]  Hui Wang,et al.  A Simplified Numerical Elastic-Plastic Contact Model for Rough Surfaces , 2009 .

[44]  Mohamed A. El-Sharkawi,et al.  Modern Heuristic Optimization Techniques , 2008 .

[45]  Rashid Rashidzadeh,et al.  Low-Contact Resistance Probe Card Using MEMS Technology , 2014, IEEE Transactions on Instrumentation and Measurement.

[46]  M. Michael Yovanovich,et al.  Thermal Contact Correlations , 1981 .

[47]  A. J Baker,et al.  Developments in Australia's surface roughness measurement system , 2001 .

[48]  J. Greenwood,et al.  Contact of nominally flat surfaces , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.