Nonlinear algebraic estimation of a vibration electromagnetic activator inductivity by a failing current curve

Alexander S. Glazyrin, Vasily V. Anikin, Dmitriy S. Bunkov, Dmitriy I. Antyaskin, Yulia N. Startseva, Vladimir Z. Kovalev, Rustam N. Khamitov, Sergey N. Kladiev, Alexander A. Filipas

Research output: Contribution to journalArticlepeer-review


The relevance. In technologies related to preparation of drilling fluids and thinning down of highly viscous oil products, it is promisingly to use the vibration electromagnetic activators. Vibration electromagnetic activators, operating at near-resonant frequencies in limit shockfree modes with the maximum energy efficiency, requires the determination of the coil inductance at fixed values of the magnetic gap. One of the most promising methods for determining inductance is the preliminary identification of the parameters of adaptive model by falling current curve. The main aim of the research is to develop a method of identification the inductance of a vibration electromagnetic activator coil with a fixed value of the magnetic gap based on regression analysis of the free component of the current. Methods: ordinary differential equations, Laplace transform with zero initial conditions, transfer function impulse response, regression analysis, the methods of differential equations solving, Newton method, theory of optimization, minimization based on sum squares of residuals objective function. Results. The paper introduces the method for preliminary identification of the inductance of vibration electromagnetic activator coils based on a regression analysis of falling current curve. The authors have concocted out the formula for objective function and composed a nonlinear algebraic equation relative to its derivative with respect to the estimated argument. The paper demonstrates the operational integrity, speed of convergence and dynamics of changing the error in the developed method with a significant deviation of the a priori values of the estimated value from the true one, both up and down. When using a 10-bit analog-to-digital converter, the algorithm for ?reliminary identification of inductance will require no more than 11 calculation cycles to enter the dead zone, and when using a 12-bit analog-to-digital converter, no more than 13 calculation cycles.

Original languageEnglish
Pages (from-to)148-157
Number of pages10
JournalBulletin of the Tomsk Polytechnic University, Geo Assets Engineering
Issue number1
Publication statusPublished - 1 Jan 2020


  • Complex magnetic circuit
  • Drilling fluid
  • Falling current curve
  • Highly viscous oil products
  • Inductance estimation
  • Newton's method for solving a nonlinear equation
  • Nonlinear algebraic equation
  • Regression analysis
  • Vibration electromagnetic activator

ASJC Scopus subject areas

  • Materials Science (miscellaneous)
  • Fuel Technology
  • Geotechnical Engineering and Engineering Geology
  • Waste Management and Disposal
  • Economic Geology
  • Management, Monitoring, Policy and Law

Fingerprint Dive into the research topics of 'Nonlinear algebraic estimation of a vibration electromagnetic activator inductivity by a failing current curve'. Together they form a unique fingerprint.

Cite this