Analytical Modeling and Comparison of Two Consequent-Pole Magnetic-Geared Machines for Hybrid Electric Vehicles

Abstract

The exact mathematical modeling of electric machines has always been an effective tool for scholars to understand the working principles and structure requirements of novel machine topologies. This paper provides an analytical modeling method—the harmonic modeling method (HMM)—for two types of consequent-pole magnetic-geared machines, namely the single consequent-pole magnetic-geared machine (SCP-MGM) and the dual consequent-pole magnetic-geared machine (DCP-MGM). By dividing the whole machine domain into different ring-like subdomains and solving the Maxwell equations, the magnetic field distribution and electromagnetic parameters of the two machines can be obtained, respectively. The two machines were applied in the propulsion systems of hybrid electric vehicles (HEVs). The electromagnetic performances of two machines under different operating conditions were also compared. It turns out that the DCP-MGM can reach a larger electromagnetic torque compared to that of the SCP-MGM under the same conditions. Finally, the predicted results were verified by the finite element analysis (FEA). A good agreement can be observed between HMM and FEA. Furthermore, HMM can also be applied to the mathematical modeling of other consequent-pole electric machines in further study.

Non-Linear 3-D Semi-Analytical Model for an Axial-Flux Reluctance Magnetic Coupling

“…𝑯 𝒖 𝑰𝑰𝑰 = (𝟏/𝝁) 𝒄 𝑰𝑰𝑰 𝑩 𝒖 𝑰𝑰𝑰 (18) Thus, expressing ( 14) using ( 17) and ( 15) using (18) will ensure the convergence on the (xz) boundary of the SP. This method is well known in 2-D, but in 3-D an additional problem arises.…”

“…Lately, several research groups developed 2-D cylindrical semi-analytical models of radial-flux actuators including subdomains with a spatially variable permeability allowing notably to affect a finite value to the SP permeability without increasing the number of subdomains [14]- [16] and also to implement global saturation iterative algorithms [17], [18]. The method employed is based on the convolution theorem (i.e.…”

Analytical model for magnetic‐geared double‐rotor machines and its d–q ‐axis determination

“…Finally, the Fourier coefficients within these expressions can be achieved by solving the boundary condition equations. To simplify the equation form, the following notations are adopted in this paper: ( , ) and ( , ) (4) For simplification, the following boundary conditions are all expressed by using the vector magnetic potential.…”

“…The magnetic-geared double-rotor machine (MGDRM) has a great potential for serving as the PSD in HEVs [3], [4], since it utilizes the electromagnetic force to transmit the power among different moving components. Thus, it can eliminate the disadvantages caused by the physical contact in mechanical gearboxes.…”

3-D Semi-Analytical Model of a Superconducting Axial Flux Modulation Machine

“…These models are based on the convolution therorem that allows considering complex space distribution of the magnetic permeability in the subdomains. Thanks to this method, it is possible to simply take into account the saturation of the magnetic circuit [27], [29] and numerous radial-flux topologies have been modelled in recent years [26], [30].…”