Nonlinear Model Order Reduction of Induction Motors Using Parameterized Cauer Ladder Network Method

Abstract

In this study, we established the nonlinear model order reduction (MOR) of induction motors by parameterizing a multi-port Cauer ladder network (CLN). Appropriate parameters were selected to incorporate nonlinear magnetic characteristics. The parameterized multi-port CLN was applied to the transient analysis of a rotating induction motor. The proposed method reproduced the finiteelement analysis results with various driving frequencies and slips. The parameterized multi-port CLN can effectively reduce the computation time for analyses requiring a large number of time steps.

Reduced Order Modeling Based on Multiport Cauer Ladder Network for Space Harmonics of Air-Gap Flux Density in Cage Induction Motor

“…The number of stages is denoted as N. Because linear magnetic properties are assumed as a first step toward the practical use of the multiport CLN method, the cage IMs with semi-closed rotor slots are investigated. For reference, nonlinear MOR for cage IMs using the multiport CLN method is discussed in [10].…”

“…In the case where the number of rotor bars is divisible by the number of poles, only the odd SHs are included in the air-gap flux density waveform. Generally, however, the even SHs should also be considered in ( 8), (9), and (10) in the case where the number of the rotor bars is not divisible by the number of poles.…”

Frequency-Domain Model Order Reduction of Electromagnetic Field in Induction Motor

“…Fig When the number of Cauer ladder stages is N, the construction of CLN roughly costs NM times as much as the solution of (1) in the finite element analysis. The nonlinear analysis is realized by parametrizing the inductance and resistance matrices depending on the degree of saturation [7].…”

Model Order Reduction of Cage Induction Motor With Skewed Rotor Slots Using Multiport Cauer Ladder Network Method

“…N the design of a control system for an electric motor, it is desirable to use an accurate model that can appropriately represent the influence of nonlinear magnetic properties and slot harmonics on machine performance. To derive an accurate model of a cage induction motor (IM), various model order reduction (MOR) methods have been used and extended to nonlinear problems [1]- [4]. In this study, the multiport Cauer ladder network (CLN) method [5] was adopted as the MOR method for a cage IM.…”

“…The dominant SHs can be selected based on time and space harmonic analysis [7], [8]. Furthermore, the nonlinear MOR for cage IMs using the multiport CLN method has been proposed [4]. To date, however, the motor MOR based on the CLN is restricted within a two-dimensional (2D) formulation and cannot handle skewed slots, although they are typically adopted to cage IMs to reduce torque ripples.…”