speed control of bldc motor using pi and

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    Speed control of BLDC motor

    using PI and PID controller

    Presenting by:-

    Rahul Sharma

    Power electronicsand drive

    Summited to

    Dr. Ravindra K. Singh

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    Content

    Introduction.

    Basic diagram of BLDC motor.

    Advantage of BLDC motor.

    mathematic modeling of BLDC motor.

    Speed control of BLDC.

    PI controller.

    PID controller.

    Comparison between PI and PID controller. Conclusion.

    References.

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    Introduction

    BLDC motor has a rotor with permanent magnets and astator with windings.

    The Brushless DC motor is driven by rectangular ortrapezoidal voltage strokes coupled with the givenrotor position.

    The commutation takes place electronically.

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    Basic diagram of BLDC motor

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    Advantage

    Reliability.

    High dynamic efficiency.

    Low maintance . Less electrical noise.

    Better speed and torque characteristics.

    Low losses.

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    MATHEMATICAL MODELING OF BLDC

    Motor

    BLDCM can be modeled in the three phase abc variableswhich consist of two parts.

    1. Electrical part which calculates the electromagnetictorque and current of the motor.

    2. The other is the mechanical part, which generatesrevolution of the motor

    The following assumptions are made:

    1. Ignore the core saturation, as well as eddy current lossesand hysteresis losses.

    2. Ignore the armature reaction.3. Power switches and flywheel diode of the inverter circuit

    have ideal switching feature

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    BLDC motor can be expressed in the matrix form

    as:

    If there is no change in rotor reluctance with angle

    because of a non-salient rotor, and assuming three

    symmetric phase,

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    .(2)

    From the equation (2), phase voltage for phase a,

    Va can be derived as

    The stator phase currents are constrained to bebalanced

    ia+i

    b+i

    c=0

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    The phase voltage of phase b and c, Vb and Vc can bewritten similarly as given below

    Equivalent circuit diagram of bldc motor

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    The trapezoidal back-EMF wave forms are modeled as a

    function of rotor position so that rotor position can be actively

    calculated according to the operation speed.

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    Speed control of BLDC motor

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    Current controller

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    PI Controller

    The transfer function of the most basic form of PI

    controller is,

    Kpis the proportional gain and Kiis the integral

    gain.

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    Pi controller conti.

    Proportional controller produces offset error. Integral controller reduces offset error.

    So we have to maintain KPand KIvalues for

    stability. Proportional action increases the loop gain

    Makes the system less sensitive to variationsof system parameter.

    The integral action eliminates or reduces thesteady state error

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    PID Controller

    The transfer function of the most basic form of PID controller is

    Kpis the proportional gain, Kiis the integral gain and Kdis the derivative gain

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    PID controller cont.

    Proportional controller stabilizes the gain but

    produces a steady state error

    Integral controller reduces the rise time,

    causes an overshoot, increases the settling

    Time and most importantly eliminates the

    steady state error.

    Important function of Kd is to reduce

    overshoot and reduce settling time.

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    Comparison

    Overshoot and settle time is less in PIDcontroller compare to PI controller.

    PID controller is more stable , easy adjustment

    and high reliable then PI controller.

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    Conclusion

    Due to non linearity of BLDC motor these

    controller faced problem.

    Non linearity arises due to change in load,

    drive inertia.

    For better performance, used some intelligent

    techniques with these controller.

    PI or PID controller + fuzzy logics.

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    References

    Atef Saleh Othman, Proportional Integral and

    Derivative Control of Brushless DC Motor,

    European Journal of Scientific Research,

    volume 35, pp. 198-203.

    2012 IEEE International Conference on Power

    Electronics, Drives and Energy Systems

    December16-19, 2012, Bengaluru, India