Modelado y Análisis de Sintonización de Velocidad de un MSIP con Presencia de Fisura Mediante Algoritmos Genéticos

Abstract

ResumenEn el presente artículo se propone el modelado del sistema continuo correspondiente al motor síncrono de imanes permanentes (MSIP) con presencia de degradación en la inercia rotacional del rotor, mediante el mecanismo de fisura, lo cual permite la estimación de parámetros físicos, en el caso de análisis, el diámetro de la grieta presente en el rotor, disminuyendo con ello la incertidumbre en el modelado del MSIP. Se lleva a cabo la identificación en bucle cerrado de las ganancias mediante un análisis de sensibilidad, donde mediante el método computacional de optimización de búsqueda por algoritmos genéticos se obtienen las ganancias que logran converger el modelo propuesto al modelo de referencia. Palabras Clave:Modelado del sistema continuo, Estimación de parámetro, Incertidumbre en el modelado, Identificación en bucle cerrado, Método computacional de optimización, Degradación en Inercia, Mecanismo de Fisura, Sensibilidad, Algoritmo genético. Modeling and Analysis of speed tuning of a PMSM with presence of crack using genetic algorithms AbstractIn this article, we propose the continuous system model corresponding to the Permanent Magnet Synchronous Motor (PMSM) with the presence of degradation in the rotational inertia of the rotor through the fissure mechanism, which allows the estimation of the physical parameters. We consider the diameter of the split on the rotor in the analysis of the model, and in effect, the decrease of the uncertainty of the PMSM model. The closed-loop identification of the gains is achieved by a sensibility analysis, whilst the gains obtained by the computational optimization method of search through genetic algorithms, allows the proposed model converge to the reference model.

Neuroadaptive Robust Speed Control for PMSM Servo Drives with Rotor Failure

“…where L d is the d-axes stator inductance and L q represent the q-axes stator inductance, i d is the stator current in d-axes, i q represent the stator current in q-axes, V d is the stator voltage in d-axes and V q represent the stator voltage in q-axes, r s represent the stator resistance per phase, ω r is the rotor mechanical angular speed and λ m is the rotor flux. The differential equations that define the dynamics of the PMSM rotor with respect to angular velocity and the angular position (θ) of the rotor are determined as follows [1][2][3]9,10]:…”

“…Then, when there is a crack in the rotor, the fracture opens and closes due to the moment of inertia and the rotational effects of the rotor mass, which over time the rotor failure will behave as a weak fracture. [9,10,24]. The mathematical expression that defines the dynamic behavior of the fissure within the rotor can be described with the Paris equation, as follows [24,25].…”

“…where D is the root of rotor shaft diameter and d is the size of the cavity in the rotor shaft due to the fissure, which the smaller diameter of d is defined as a function of the variation in the length of the fissure as [9,10,26]:…”

“…The set of differential equations that describe the dynamic response of electromechanical systems with the presence of a fissure in the rotor depict a non-linear behavior, causing that traditional tuning techniques for PI controllers present a poor performance, for which it is necessary to use techniques of tuning based on heuristic algorithms or artificial intelligence techniques [8,9]. Rotor failures have been studied by different groups of researchers.…”

“…Classical control has been applied to deal with the presence of degradation problems, fault, and broken rotors in electromechanical systems, such as optimal linear quadratic regulator [9,10], sliding mode control [11], feedback linearization controller [12], and fuzzy logic control [13]. In [9] an optimal linear state feedback control scheme was designed using the optimal linear quadratic regulator technique, for a PMSM with rotor failure. A sliding mode control (SMC) for a quad-rotor with a rotor failure has been presented in [11].…”