TY - JOUR

T1 - Nonlinear algebraic estimation of a vibration electromagnetic activator inductivity by a failing current curve

AU - Glazyrin, Alexander S.

AU - Anikin, Vasily V.

AU - Bunkov, Dmitriy S.

AU - Antyaskin, Dmitriy I.

AU - Startseva, Yulia N.

AU - Kovalev, Vladimir Z.

AU - Khamitov, Rustam N.

AU - Kladiev, Sergey N.

AU - Filipas, Alexander A.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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.

AB - 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.

KW - Complex magnetic circuit

KW - Drilling fluid

KW - Falling current curve

KW - Highly viscous oil products

KW - Inductance estimation

KW - Newton's method for solving a nonlinear equation

KW - Nonlinear algebraic equation

KW - Regression analysis

KW - Vibration electromagnetic activator

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U2 - 10.18799/24131830/2020/1/2456

DO - 10.18799/24131830/2020/1/2456

M3 - Article

AN - SCOPUS:85078848294

VL - 331

SP - 148

EP - 157

JO - Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering

JF - Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering

SN - 2500-1019

IS - 1

ER -