MATHEMATICAL MODELS OF DISPLACEMENT MEASURING MAGNETIC CIRCUITS DIFFERENTIAL TRANSFORMER SENSORS WITH A SPECIAL STRUCTURE
Abstract
In the article, the analysis of the mathematical models of new differential transformer sensors with different moving elements and magnetic circuits with a special structure for displacement measuring, the moving part of which is made in the form of a collective measuring winding, when these sensors are made in such a way that the value of the magnetic capacitance between long ferromagnetic rods changes in the form of a hyperbolic function along the magnetic circuit of the excitation winding it was determined that the inductance does not depend on the coordinates of the driven measuring device and that the working magnetic currents, the mutual inductances between the excitation and the driven measuring device, and the output ЕMF of the sensors change with an absolutely linear law. Key words: differential transformer sensor, differential magnetic circuit, moving element, winding, screen, ferromagnetic core, magnetic circuit with simple structure; distributed parameter chains; magnetic force; magnetic resistance; magnetic capacity, longitudinal and transverse currents, magnetic flux; magnetic tension; linear distribution.
References
Ageikin D.I., Kostina E.N., Kuznetsova N.N. Control and regulation sensors: reference materials / 2nd ed., revised. and additional - Moscow: Mashinostroenie, 1965. - 928 p.
Yusupbekov N.R., Igamberdiev Kh.Z., Malikov A.V. Fundamentals of Automation of Technological Processes: Textbook for Higher and Secondary Specialized Education. In 2 hours - Tashkent: TSTU, 2007. Parts 1, 2. - 152 p., 173 p.
Zaripov M.F. Converters with distributed parameters for automation and information-measuring equipment. Moscow, Energia, 1969, 177p.
Fedotov A.V. Theory and calculation of inductive displacement sensors for automatic control systems: monograph /. - Omsk: Publishing house of OmGTU, 2011. - 176 p.
Patent of the Republic of Uzbekistan (UZ) No. IAP 07234. Transformer sensor of large linear displacements of increased sensitivity / Amirov S.F., Sharapov Sh.A., Sulliev A.Kh., Boltaev O.T., Karimov I A.//Official Gazette - 2022. - No. 4.
Amirov S.F., Sulliev A.Kh., Balgaev N.E. A brief overview of methods for calculating magnetic circuits with distributed parameters // Journal of Tashkent State Technical University "Problems of energy and resource saving" - Tashkent, 2010. - No. 1/2 - P. 195-202.
Konyukhov N.E., Mednikov F.M., Nechaevsky M.L. Electromagnetic sensors of mechanical quantities. - Moscow: Mashinostroenie, 1987. - 256 p.
Atabekov G.I. Theoretical foundations of electrical engineering. Linear electrical circuits: Textbook. 7th ed., ster. - St. Petersburg: Lan Publishing House, 2009. - 592 p.
Abdullaev Ya.R. Theory of magnetic systems with electromagnetic screens. Moscow, Nauka, 2002, 288 p.
Zaripov M.F., Urakseev M.A. Calculation of electromechanical counting-deciding converters. Moscow, "Nauka", 1976. - 103 p.
Amirov S.F., Sharapov Sh.A. Investigation of electromagnetic circuits of transformer sensors of large linear displacements of increased sensitivity // Kimevy technology. Nazareth va bosharuv. - Tashkent, 2023. - No. 6. – C.50-54.
Bul O.B. Methods for calculating the magnetic circuits of electrical devices. Magnetic circuits, fields and the FEEM program - Moscow: ACADEM A, 2005.-337 p.
