This paper deals about the planning and simulation for harmonic reduction by three phase voltage source of a pulse width modulation (PWM) rectifier with three-phase load. Support the mathematical model of PWM rectifier, the dual-close-loop engineering approach with decoupled feed-forward management is applied within the 3-phase voltage source rectifier. The goal to be reached is to identify with unity power factor issue at the input ac mains and regulate output voltage. The paper presents the MATLAB/SIMULINK simulation model and the results make sure the legitimacy of the model and its management technique.
Keywords |
PWM rectifier, unity power factor, decoupled feed-forward control, MATLAB simulation. |
INTRODUCTION |
Modern electric devices are usually fed by diode or thyristors front-ends. Such equipment generates higher
harmonics into a grid. Now days those problems are going more and more serious. Grids disturbances may result in
malfunction or damage of electrical devices [1]-[3]. Therefore, currently many methods for elimination of harmonic
pollution in the power system are developed and investigated. Restrictions on current and voltage harmonics
maintained in many countries are associated with the popular idea of “clean power [4]- [5].The PWM rectifier
advantages are Bi-directional power flow, Nearly sinusoidal input current, Regulation of input power factor to unity,
Low harmonic distortion of line current (THD below 5%), Adjustment and stabilization of DC-link voltage (or
Current), Reduced capacitor (or inductor) size due to the continuous current [6]-[7]. In actual implementations, the
DC management theme is wide adopted. varied management methods are projected standard of the input ac current
in DC control theme [8]. The normal management methods establish 2 loops: a line current inner loop of power
issue compensation associate degreed an output voltage outer loop for voltage regulation. During this paper, the
planning technique [9] and controller model supported DC control square measure analyzed [10]. Achieving
strength to load variations isn't a straightforward management drawback as a result of whenever load varies the
amplitude of the road current should modification to a brand new price to stay dc voltage regulation, however
keeping the management objective over the road current[11]. It’s troublesome to treat this drawback as a trailing
drawback while not activity the load since the road current reference depends on that. a strong controller for rectifier exploitation the International Development Association approach and GSSA modeling is planned in [12]. It is same
that the tactic rework the nonstandard trailing management drawback into a regulation one. Identical resolution by
the IDA-PBC is conferred in Work [8]. But it's price to more study to prove the practicable ness in actual
implementations [13].This paper briefly reviews the principles of 3-phase PWM rectifier, gives a dual close-loop
design method of system controller. The control strategy is proved feasibility by MATLAB/SIMULINK simulation
with different loads. |
THREE PHASE VOLTAGE SOURCE PWM RECTIFIER MODEL |
The three-phase voltage source rectifier structure is shows in figure 1. The circuit diagram is in order to setup math
model, it is assumed that the AC voltage is a balanced three phase supply, the filter reactor is linear, IGBT is ideal
switch and lossless [5]. Where Ua Ub an Uc are the phase voltages of three phase balanced voltage source, and ia , ib
and ic are phase currents, Vdc is the DC output voltage, R1 and L mean resistance and inductance of filter reactor,
respectively ,C is smoothing capacitor across the dc bus, RL is the DC side load, Ura, Urb, and Urc, are the input
voltages of rectifier, and iL is load current. |
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The following equations describe the dynamical behavior of the boost type rectifier in Park coordinated or in d-q: |
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Where, Urd = SdVdc , Urq = Sq Vdc , Urd , Urq and Sd ,Sq are input voltage of rectifier, switch function in synchronous
rotating d-q coordinate, respectively. Ud, Uq and id,iq are voltage source, current in synchronous rotating d-q coordinate, respectively. ɷ is angular frequency. |
A. Design of current loop |
It is seen from (1) that mutual interference exists in the d-q current control loops. The voltage de couplers are
therefore designed to decouple the current control loops and suitable feed forward control components of source
voltages are also added to speed up current responses. The d–q current control loop of the rectifier in the proposed
system is shown in Figure 2.Where the d – q voltage commands can be expressed as |
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Let us take into account this assumption in (1) and get the following equations: |
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The simple proportional-integral (PI) controllers are adopted in the current regulation; urd and urq are controlled by
the following expression: |
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Assume that the d–q voltage commands are not saturated for linear operation of PWM modulation and the d–q current control loops have been fully decoupled. For d-axis current control loop, the structure can be simplified to
Figure 3. |
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When the current responses speed is concerned, the current regulator can be designed as the typical I model system.
For pole-zero cancellation, take Ti = L / R . |
The open-loop current transfer function can be expressed as |
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A robust controller for rectifier using the interconnection and damping assignment (IDA) approach and generalised
state space averaging (GSSA) modelling is proposed which transform the non-standard tracking control problem
into a regulation one. The same solution by the interconnection and damping assignment passivity based control
(IDA-PBC) is presented in Work. But the feasibility of these solutions in practical environment has to be proved. |
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Figure 5. Three phase voltage sourse PWM rectifier system model |
From Figure 4, the open transfer function of system can be expressed as |
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SIMULATION RESULTS |
The decoupled dual-closed-loop controller has been simulated using MATLAB/SIMULINK to test the performance
of VSC described by the proposed model. The whole system behavior is simulated as a discrete control system. The simulation model is shown in figure 5 and current regulator unit figure 6 respectively. The actual rectifier is shown
at the top of the model in figure 1. In the circuits, the ac source is an ideal balanced three-phase voltage source with
frequency of 50Hz. The phase to phase voltage is 380V. The line resistor of each phase is 0.0lΩ. The line inductance
of each phase is 5mH. The output capacitor is 4700uF. In steady state, the dc voltage is set to be 500V. The
switching frequency is 10 kHz.The following two figures summarize the results of the simulation. The first figure 7
shows the transient response of the output voltage during the load variation. The second figure 8 shows transient
response of input current for a step load change. At t=200 ms, a 10-kW load is switched-in. By exploitation
nonlinear input transformation, the traditional nonlinear models are improved to linear models. This improvement
makes the look of the controller become easy [6]. The controller is designed analytically and severally with the in
operation purpose. |
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Decoupled feed-forward controller for 3-phase voltage supply rectifier is intended within the paper. Simulation
result shows that in no time response is achieved in each dc amount and reactive power management. the answer
planned during this paper needs the sensing of input voltage, line current and output voltage. usually speaking,
industrial masses for this rectifier area unit variable masses, this being the most disadvantage to get easy controllers.
Achieving strength to load variations isn't a straightforward management drawback as a result of whenever load
varies, the amplitude of the road current should modification to a brand new price to stay dc voltage regulation,
however keeping the management objective over the road current form. it's troublesome to treat this drawback as a
trailing drawback while not activity the load since the road current reference depends on that. a strong controller for
rectifier exploitation the International Development Association approach and GSSA modeling is planned |
CONCLUSION |
In this paper, a serious improvement is obtained in modeling the rectifier. By exploitation nonlinear input
transformation, the traditional nonlinear models are improved to linear models. The controllers are designed
analytically and operate within limits. The controller for 3-phase voltage supply rectifier is intended to reduce
harmonics to the main function of voltage control loop is to keep stability of output voltage. so the noise immunity
must be taken into account in the course of design voltage loop. Further the use of the three phase voltage source
PWM rectifier can be extended to various loads and using this method the power factor of that particular load circuit
can be analysed and using various power factor correction methods the system can be made to operate at near unity
power factor to optimise its performance. |
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