Analysis of Chaos and Bifurcation Due to Slotting Effect and Commutation in a Current Discontinuous Permanent Magnet Brushed DC Motor Drive

Ghosh, Mousam; Panda, Goutam Kumar; Saha, Pradip Kumar

doi:10.1109/tie.2017.2745446

Cited by 15 publications

(4 citation statements)

References 21 publications

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“…System simulation showed that, when the system parameters enter a specific region, the BLDCM system enters into a chaotic motion and uses an inverse control to synchronize the chaos. Mousam et al [13] analyzed the nonlinear characteristics of a permanentmagnet BLDCM; these researchers discussed the chaos, bifurcation and other non-linear phenomena caused by slot structure and power transistor switching. Tahir et al [14] discussed the nonlinear characteristics of a permanentmagnet DC motor driven by PID control; these authors reported periodic, quasi-periodic, and chaotic behaviors in the motor and used a sliding mode method to control chaos.…”

Section: State Of the Artmentioning

confidence: 99%

Chaotic Characteristic Analysis of Brushless DC Motor with Vibration Load Disturbance

Li¹,

Wang²,

Shi³

2018

JESTR

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A brushless DC motor (BLDCM) is a kind of nonlinear system with multivariable coupling. Under certain conditions, chaos and other non-linear dynamic phenomena will occur and bring adverse effects to the motor itself and the drive system. However, in existing research on chaotic mechanism of BLDCM, the chaotic phenomena caused by the disturbance of load torques are seldom involved. However, in practical engineering applications, the disturbance in the load of the motor is extensive. To analyze the non-linear characteristics of the BLDCM caused by this disturbance, a disturbance variable was added to the d-q axis mathematical model of the BLDCM. Then, a non-autonomous system model of 5-D BLDCM was constructed by using time scale and linear affine transformations. First, the non-linear dynamic characteristics of the system caused by the torque disturbance were analyzed by calculating the dissipation and equilibrium points of the system. Second, the chaotic dynamic behavior of the system under load disturbance was discussed through Lyapunov exponent and bifurcation graph. Finally, the accuracy of the model and analysis was verified through experiments. Results show that when the frequency of the disturbance component of the load increases from 0 Hz to 100 Hz, the system experiences various motions, such as stable, period doubling, paroxysmal chaos, and periodic. This study provides a theoretical reference for further exploring the engineering physical characteristics of the BLDCM under load disturbance and searching for an improved control method.

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Section: State Of the Artmentioning

confidence: 99%

Chaotic Characteristic Analysis of Brushless DC Motor with Vibration Load Disturbance

Li¹,

Wang²,

Shi³

2018

JESTR

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“…As expected, nonlinearities regarding the switching operation (an inherent feature of a power converter) are hence derived by an electric drive. Other sources of nonlinearity in an electric drive are caused by slotting and commutation [2], the mutual efect of a feld and armature winding if they are connected in series [3], mechanical subsystem [4], and the combination of the factors [5,6].…”

Section: Introductionmentioning

confidence: 99%

Multistability and Its Control by the PWM Carrier Signal Modulation in a DC Electric Drive System

Kuznyetsov

2023

Mathematical Problems in Engineering

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Multistability is a universal nonlinear feature for many areas of physics and technology; for most applications, it is an undesired feature leading to uncertainty of the system’s functioning, and therefore, it should be controlled. We deal with the model of a multistable chopper-fed DC electric drive and study the control of multistability by the periodic modulation of a PWM (pulse-width modulation) carrier signal. The effect of utilizing sinusoidal modulation has been studied employing brute-force bifurcation diagrams as well as those obtained by numerical continuation, symbolic analysis of periodic modes, and normal form approximation of border-collision bifurcation. The result is formulated in terms of the acceptable amplitude of the modulation while the effect of phase shift is taken into account. As an alternative, a modified modulation in the form of the absolute value of the sine wave has been studied; the latter is characterized by a simpler bifurcation structure. Additionally, we propose an implementation of the adaptive control with the objective to drive the system away from a “nonnominal” mode. It has been demonstrated that such a transition should use smooth attenuation of the modulation signal to ensure the desired “nominal” operation of the system.

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“…They are extensively employed in wind and photovoltaic (PV) power generation, electric and fuel cell vehicles, high voltage DC systems, on‐ship board power systems, switched‐mode power supply, telecommunication, and others 25,26 . The most crucial applications of DC‐DC converters are associated with DC motor speed control due to their higher efficiency, control flexibility, compact size and weight, and quick dynamic response 27‐30 . However, the impact of digital sampling is analyzed on the DC‐DC converter only with linear resistive load in the literature 1,12 .…”

Section: Introductionmentioning

confidence: 99%

Digital pulse width modulation sampling effect embodied steady‐state time‐domain modeling of a boost converter driven permanent magnet DC brushed motor

Mishra

Banerjee

Ghosh³

et al. 2021

Int Trans Electr Energ Syst

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Summary DC‐DC converters are conventionally utilized to drive DC motors, where boost converters are employed in several emerging drive‐based applications. The modern boost converter motor drives are controlled with digital circuits due to its flexibility and cost‐effectiveness. However, the impact of the sampling in digital controllers is generally neglected during the modeling of the drives. In this paper, the sampling effect of digital controllers is analyzed for the steady‐state speed of the boost converter fed brushed permanent magnet DC (PMDC) motor drive, and the corresponding mathematical model is proposed. A relationship is established between time delay, multisampling factor, and duty ratio, which is further implemented on the PMDC motor model. The modeling shows that a time delay in pulse generation is induced due to the sampling that changes the duty ratio and the resultant motor speed. The variation in motor speed obtained from the analysis justifies the relevance of the proposed model. The proposed mathematical model shows that a high sampling frequency of the digital controller is essential to adapt the analog controller‐based motor drive behavior. However, an optimization methodology between the controller frequency and drive performance for low‐cost applications has been mentioned in this paper. The experimental analysis performed on the simulation environment and the real‐time laboratory prototype complements the precision of the proposed model.

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Analysis of Chaos and Bifurcation Due to Slotting Effect and Commutation in a Current Discontinuous Permanent Magnet Brushed DC Motor Drive

Cited by 15 publications

References 21 publications

Chaotic Characteristic Analysis of Brushless DC Motor with Vibration Load Disturbance

Chaotic Characteristic Analysis of Brushless DC Motor with Vibration Load Disturbance

Multistability and Its Control by the PWM Carrier Signal Modulation in a DC Electric Drive System

Digital pulse width modulation sampling effect embodied steady‐state time‐domain modeling of a boost converter driven permanent magnet DC brushed motor

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