外文翻譯---一個(gè)教學(xué)用的磁懸浮控制系統(tǒng)模型-文庫吧資料
2024-09-05 16:00本頁面
【正文】 oach is really restrictive, because it is only available when the system variations are small.IV. THE COIL INDUCTANCEThe inductance L(x) is a nonlinear function of the ball39。(X) denotes the derivative and δX is the dipole separation. Using assumption that δX may he taken as a constant,because it is sufficiently small pared to the electromagnet geometry (radius and length), the magnetic force beesB. Some practicable approximations of magnetic forcebetween the electromagnet and the sphere Note that the analytical expression of the magnetic force/current/displacement relationships (Eqs. (1 1) and (14)) is very plex for the experimental purpose. However, the magnetic force characteristics may be xperimentally calibrated as a function of the applied current I and the hall position X . Namely, the plex nonlinear function G ( X ) can be approximate by a polynomial function In the equilibrium position we havewhich can be rewritten in the formThe experiment consists of resting the levitation metallic sphere on an xyz stage capable of Imm incremental positioning and determining the minimum current required topick up the ball at various heights [12131, [4]. Then the model of the foreeldistance relationship can he determined by means of least square fitting. Note, that the validity of so obtained curve is limited to some range Xmon,≤ X≤ Xmax , ,Also, the solenoid characteristics change with temperature,and the coefficients of the curvefit change significantly when the system has been in operation for a while. This drift,bined with other nonlinear effects, results in a dispersion such that the calibration data can deviate from the curvefit by up to 177。 sphere is located on the axis of the coilas shown in Fig. 3. The effect of the magnetic field from theelectromagnetic is to introduce a magnetic dipole in the spherewhich itself bees magnetized. The force acting on thesphere is then posed of gravity and the magnetic forceacting on the induced dipole.The magnetic control force between the solenoid and thesphere can be determined by considering the magnetic field asa function of the ball39。 software. Feedback Software forSIMULLNiKs ~p rovided for the control models and interfacingbetween the PC and the Maglev system hardware. The Maglev System, both in analogue and digital mode,allows the study of various control strategies and other issuesfrom system theory, as follows:Analogue mode. Nonlinear modelingSystem stabilizationInfrared sensor characteristicsClosedloop identificationLeadlag pensationPerturbation sensitivityPDcontrol。Modeling of a Didactic Magnetic Levitation System for Control EducationMilica B. NaumoviCAbsr~uo ~ The magnetic levitation control system of a metallicsphere is an interesting and visual impressive device successfulfor demonstration many intricate problems for controlengineering research. The dynamics of magnetic levitation systemis characterized by its instability, nonlinearity and plexity. Inthis paper some approaches to the levitation sphere modeling areaddressed, that may he validate with experimentalmeasurements.Keywords magnetic levitation system, control engineeringeducation, system modelingI. INTRODUCTIONMagnetic levitators not only present intricate problems forcontrol engineering research, but also have many relevantapplications. such as highspeed transportation systems andprecision bearings. From an educational viewpoint, thisprocess is highly motivating and suitable39。 for laboratoryexperiments and classro
數(shù)學(xué)相關(guān)推薦
鄂ICP備17016276號(hào)-1