Unsa ang Field Oriented Control?

Ano ang Field Oriented Control?

Ang Definisyun sa Field Oriented Control

Ang field oriented control usa ka sofistikadong teknik nga nagmaneho sa AC induction motors pinaagi sa pag-control sa torque ug magnetic flux independente, sama sa DC motors.

Ang Prinsipyong Ginagamit sa Field Oriented Control

Ang field oriented control gisumala sa pag-control sa stator currents representado pinaagi sa usa ka vector. Kini nga kontrol gisulay basehan sa mga projection nga magtransforma sa usa ka three phase time ug speed dependent system ngadto sa duha ka coordinate (d ug q frame) time invariant system.

 Ang mga transformation ug projections moadto sa usa ka structure sama sa DC machine control. Ang FOC machines nanginahanglan og duha ka constants isip input references: ang torque component (aligned sa q coordinate) ug ang flux component (aligned sa d coordinate).

Ang three-phase voltages, currents ug fluxes sa AC-motors mahimong ma-analisa pinaagi sa complex space vectors. Kon atong huna-hunaan ang ia, ib, ic isip instantaneous currents sa stator phases, kini nga stator current vector gidefine as follow:

Diin, (a, b, c) mao ang axes sa three phase system.Kini nga current space vector represents the three phase sinusoidal system. Kini kinahanglan i-transform sa duha ka time invariant coordinate system. Kini nga transformation makapila sa duha ka steps:

(a, b, c) → (α, β) (the Clarke transformation), nga maghatag og outputs sa duha ka coordinate time variant system.

(a, β) → (d, q) (the Park transformation), nga maghatag og outputs sa duha ka coordinate time invariant system.

The (a, b, c) → (α, β) Projection (Clarke transformation)Three-phase quantities either voltages or currents, varying in time along the axes a, b, and c can be mathematically transformed into two-phase voltages or currents, varying in time along the axes α and β by the following transformation matrix:

Assuming that the axis a and the axis α are along same direction and β is orthogonal to them, we have the following vector diagram:

The above projection modifies the three phase system into the (α, β) two dimension orthogonal system as stated below:

But these two phase (α, β) currents still depends upon time and speed.The (α, β) → (d.q) projection (Park transformation)This is the most important transformation in the FOC. In fact, this projection modifies the two phase fixed orthogonal system (α, β) into d, q rotating reference system. The transformation matrix is given below:

Where, θ is the angle between the rotating and fixed coordinate system.

If you consider the d axis aligned with the rotor flux, Figure 2 shows the relationship from the two reference frames for the current vector:

Where, θ is the rotor flux position. The torque and flux components of the current vector are determined by the following equations:

These components depend on the current vector (α, β) components and on the rotor flux position. If you know the accurate rotor flux position then, by above equation, the d, q component can be easily calculated. At this instant, the torque can be controlled directly because flux component (isd) and torque component (isq) are independent now.

Basic Module for Field Oriented Control

Stator phase currents are measured. These measured currents are fed into the Clarke transformation block. The outputs of this projection are entitled isα and isβ. These two components of the current enter into the Park transformation block that provide the current in the d, q reference frame. 

The isd and isq components are contrasted to the references: isdref (the flux reference) and isqref (the torque reference). At this instant, the control structure has an advantage: it can be used to control either synchronous or induction machines by simply changing the flux reference and tracking rotor flux position. In case of PMSM the rotor flux is fixed determined by the magnets so there is no need to create one. 

Therefore, while controlling a PMSM, isdref should be equal to zero. As induction motors need a rotor flux creation in order to operate, the flux reference must not be equal to zero. This easily eliminates one of the major shortcomings of the “classic” control structures: the portability from asynchronous to synchronous drives. 

The outputs of the PI controllers are Vsdref and Vsqref. They are applied to the inverse Park transformation block. The outputs of this projection are Vsαref and Vsβref are fed to the space vector pulse width modulation (SVPWM) algorithm block. The outputs of this block provide signals that drive the inverter. Here both Park and inverse Park transformations need the rotor flux position. Hence rotor flux position is essence of FOC.

The evaluation of the rotor flux position is different if we consider the synchronous or induction motor.In case of synchronous motor(s), the rotor speed is equal to the rotor flux speed. Then rotor flux position is directly determined by position sensor or by integration of rotor speed.

In case of asynchronous motor(s), the rotor speed is not equal to the rotor flux speed because of slip; therefore a particular method is used to evaluate rotor flux position (θ). This method utilizes current model, which needs two equations of the induction motor model in d,q rotating reference frame.

Simplified Indirect FOC Block Diagram

Classification of Field Oriented Control

FOC for the induction motor drive can be broadly classified into two types: Indirect FOC and Direct FOC schemes. In DFOC strategy rotor flux vector is either measured by means of a flux sensor mounted in the air-gap or by using the voltage equations starting from the electrical machine parameters.

 But in case of IFOC rotor flux vector is estimated using the field oriented control equations (current model) requiring a rotor speed measurement. Among both schemes, IFOC is more commonly used because in closed-loop mode it can easily operate throughout the speed range from zero speed to high-speed field-weakening.

Advantages of Field Oriented Control

• Improved torque response.

• Torque control at low frequencies and low speed.

• Dynamic speed accuracy.

• Reduction in size of motor, cost and power consumption.

• Four quadrant operation.

• Short-term overload capability.