Reduced-Order Dynamic Model of Permanent Magnet and HTSC Interaction in an Axisymmetric Frame

Abstract

Abstract-This paper presents a reduced order model for a permanent magnet and high temperature superconductor (HTSC) in an axisymmetric frame. This model is formulated as a bondgraph to be used for system models such as lift bearing applications, where the nonlinear force-displacement interactions are important for stability analysis and control design. The reduced order model is based on the mechanical and electromagnetic interaction between a permanent magnet and bulk HTSC. Performance of the proposed reduced order model is compared to FEM analysis and experimental tests to confirm the static and transient performance.

Lumped-Parameter Model to Describe Dynamic Translational Interaction for High-Temperature Superconducting Bearings

“…Gyrators are lumpedparameter modeling elements routinely used in dynamic system models to represent lossless electromechanical conversion of energy [16], [19]. By identifying the spatial gradients as gyrator moduli, a power-conserving assumption leads to an expression for the net force on the permanent magnet as the sum of the induced currents through each element times the spatial gradient in the relevant component direction,…”

“…The following derivatives of elliptical integrals with respect to modulus are given by Smythe [16]. on modeling, analysis, and control of energy storage for various applications, including hybrid vehicles, grid utilities, renewable energies, and pulsed power.…”

“…Previously we have developed a technique for modeling the vertical dynamics and force displacement interaction of a permanent magnet (PM) levitated over a bulk HTSC in an axisymmetric frame, [16]. The procedure modeled the bulk HTSC as a series of nested concentric superconducting rings which interacted with the changing magnetic fields produced Lumped Parameter Model to Describe Dynamic Translational Interaction for High Temperature Superconducting Bearings by the movement of a permanent magnet.…”

Design of a new structure passive magnetic bearing with radial magnetization using FEM

“…Analytical methods are very complex for calculating the magnetic force equations because of using elliptic integrals and in addition these methods are time consuming and the results are ideal results that are far from virtuality [12]. Numerical methods like Finite element method (FEM) separates a magnetic device into small elements and numerically solves the Maxwell equations to determine field The 22nd Iranian Conference on Electrical Engineering (ICEE 2014), May 20-22, 2014, Shahid Beheshti University 978-1-4799-4409-5/14/$31.00 ©2014 IEEE distribution and resulting forces [16]- [17]. Generally 3D modeling is applied in investigation a complicated structure such as an electrical motor but as it is seen in Fig.…”

Hamiltonian analysis of a hydro-energy generation system in the transient of sudden load increasing

“…From the point of view of the transmission and dissipation of energy, putting the HEGS into the theory frame of the generalized Hamiltonian system is a new research approach to study the energy characteristics of the HEGS [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. In previous studies, The introduced random function cannot truly describe the dynamic change of the hydropower system with time.…”