+ All Categories
Home > Documents > Current mode Controller Design for Single Phase grid connected Inverter Using Proportional Resonant...

Current mode Controller Design for Single Phase grid connected Inverter Using Proportional Resonant...

Date post: 13-Apr-2018
Category:
Upload: ijeteeditor
View: 227 times
Download: 0 times
Share this document with a friend
6
International Journal of Emerging Technologies and Engineering (IJETE) Volume 2 Issue 8, August 2015, ISSN 2348   8050 125 www.ijete.org  Current mode Controller Design for Single Phase grid connected Inverter Using Proportional Resonant Control Strategy VINAY SHARMA RAVINDRA KUMAR M. Tech. (ED&T) Department of ED&T  NIELIT, GOR AKHPUR, UP, India NISHANT TRIPATHI (Deputy Director) Department of ED&T  NIELIT, GOR AKHPUR, UP, India Abstract This paper presents the design of controller based on  propo rtiona l resonant stra tegy for singl e-pha se grid connected inverter. The control design is carried out using Sisotool, which is provided in Matlab. By using this tool, users can examine the effects of changing the gain control values to system's transient response and stability, simultaneously. Hence, simplify and speed up the control design process. To evaluate the performance of the designed controller, the inverter is simulated under several types of load disturbances. From the result, it is shown that the designed controller exhibits a good transient response i.e. fast rising and settling time with small overshoot when subjected to step load disturbance. K e ywords    grid - c onnec ted inv erter, fi lm capacito r, PR controller, transient and steady state response. I. INTRODUCTION In recent years, distributed generation has been put on the agenda, distributed generation has the merits of less pollution, high reliability, high energy efficiency and installation flexibility, it can solve many potential  problems of the large scale centraliz ed power effectively, however, electricity produced by distributed  power generatio n can’t supply to AC load directly, grid- connected interface equipment must be inserted 1 . Power inverter is an important part of many DC to AC conversion equipments such as uninterruptable  power supply (UPS), induction motor drive and automatic voltage regulator (AVR) systems. In these systems, it is the major requirement for the power inverter to be capable of producing and maintaining a stable and clean sinusoidal output voltage waveform regardless of the type of load connected to it. The main key to successfully maintain this ability is to have a feedback controller [1]. Currently, grid-connected inverter generally use control strategy of the output current control, nowadays, the most commonly used method have PID control and so on. It has the merits of good control performance, robustness, and simple algorithm, clear physical meanings of parameters, easy to implement and high reliability, so it is widely applied in industry field as yet  but convention al control can't reach perfect control effects for sine reference current, because this method has relatively more rise and settling time. In order to settle this problem, PR controller is designed in this  paper. II. MODEL OF SINGLE PHASE GRID CONNECTED INVERTER Figure 1, shows the equivalent circuit of a single-  phase full bridge inverter with connected load. In this study, control based on the proportional resonant strategy theory is presented. Figure 1: Full bridge single phase PV inverter A full bridge configuration with SPWM unipolar voltage switching scheme is used as the switching circuit of the inverter. By selecting the full bridge configuration, the minimal allowed DC-link voltage can  be set to be the peak value of the AC grid voltage (plus margins). Thus, power MOSFETs, instead of higher voltage IGBTs, can be used as the switching devices which enable use of a high switching frequency (> 20 kHz) without introductio n of excessiv e switching loss.
Transcript

7/24/2019 Current mode Controller Design for Single Phase grid connected Inverter Using Proportional Resonant Control Strategy

http://slidepdf.com/reader/full/current-mode-controller-design-for-single-phase-grid-connected-inverter-using 1/6

International Journal of Emerging Technologies and Engineering (IJETE)Volume 2 Issue 8, August 2015, ISSN 2348 – 8050

125

www.ijete.org

Current mode Controller Design for Single Phase grid connected Inverter

Using Proportional Resonant Control Strategy

VINAY SHARMA

RAVINDRA KUMAR

M. Tech. (ED&T)Department of ED&T

NIELIT, GORAKHPUR, UP, India

NISHANT TRIPATHI

(Deputy Director)Department of ED&T

NIELIT, GORAKHPUR, UP, India

AbstractThis paper presents the design of controller based on

proportional resonant strategy for single-phase gridconnected inverter. The control design is carried out usingSisotool, which is provided in Matlab. By using this tool,

users can examine the effects of changing the gain controlvalues to system's transient response and stability,simultaneously. Hence, simplify and speed up the control

design process. To evaluate the performance of thedesigned controller, the inverter is simulated under severaltypes of load disturbances. From the result, it is shown that

the designed controller exhibits a good transient responsei.e. fast rising and settling time with small overshoot

when subjected to step load disturbance.

Keywords – grid - connected inverter, film capacitor, PR

controller, transient and steady state response.

I. INTRODUCTION

In recent years, distributed generation has been puton the agenda, distributed generation has the merits of

less pollution, high reliability, high energy efficiencyand installation flexibility, it can solve many potential

problems of the large scale centralized powereffectively, however, electricity produced by distributed

power generation can’t supply to AC load directly, grid-

connected interface equipment must be inserted1.Power inverter is an important part of many DC to

AC conversion equipments such as uninterruptable power supply (UPS), induction motor drive andautomatic voltage regulator (AVR) systems. In thesesystems, it is the major requirement for the powerinverter to be capable of producing and maintaining a

stable and clean sinusoidal output voltage waveformregardless of the type of load connected to it. The mainkey to successfully maintain this ability is to have afeedback controller [1].

Currently, grid-connected inverter generally usecontrol strategy of the output current control, nowadays,

the most commonly used method have PID control andso on. It has the merits of good control performance,robustness, and simple algorithm, clear physical

meanings of parameters, easy to implement and highreliability, so it is widely applied in industry field as yet

but conventional control can't reach perfect controleffects for sine reference current, because this methodhas relatively more rise and settling time. In order tosettle this problem, PR controller is designed in this

paper.

II. MODEL OF SINGLE PHASE GRID

CONNECTED INVERTER

Figure 1, shows the equivalent circuit of a single-

phase full bridge inverter with connected load. In thisstudy, control based on the proportional resonantstrategy theory is presented.

Figure 1: Full bridge single phase PV inverter

A full bridge configuration with SPWM unipolar

voltage switching scheme is used as the switching circuitof the inverter. By selecting the full bridgeconfiguration, the minimal allowed DC-link voltage can

be set to be the peak value of the AC grid voltage (plusmargins). Thus, power MOSFETs, instead of higher

voltage IGBTs, can be used as the switching deviceswhich enable use of a high switching frequency (> 20kHz) without introduction of excessive switching loss.

7/24/2019 Current mode Controller Design for Single Phase grid connected Inverter Using Proportional Resonant Control Strategy

http://slidepdf.com/reader/full/current-mode-controller-design-for-single-phase-grid-connected-inverter-using 2/6

International Journal of Emerging Technologies and Engineering (IJETE)Volume 2 Issue 8, August 2015, ISSN 2348 – 8050

126

www.ijete.org

A.

Output Filter Design

A third order LCL filter, Figure 2, was used to meetthe aforementioned harmonic reduction target. Aswitching frequency of 30 kHz was selected based onconsiderations for the filter size and the practicalimplementation of the digital controller.

Figure 2: Output LCL filter of the inverter

vt (t) stands for the terminal voltage, whichconsists of a fundamental component and higher

order harmonics components. Solving the grid

current in Laplace domain using superpositionyields the following transfer functions:

(2)

Consider the equation (1) in the output filterdesign the terminal voltage vt (t) contains a

fundamental component and higher frequencycomponents which could result in higher frequencydistortions on the grid current i g (t). Therefore,

Equation (1) is used as the output filter transfer

function as:

The RMS value of the higher order frequencycomponents of vt (t) can be calculated as:

Combining equation (3) and (4), the RMS value ofthe harmonic current can be expressed as:

Remember that cannot exceed 0.3% of

the rated current of the inverter. Therefore, given the

RMS value of the rated grid current the

following relationship can be derived:

Figure 3: Magnitude plot of the output filter transferfunction H f (s)

Rewrite for then:

For worst case k(h) at 2m f -1 is 0.37.

With the transfer function of the filter derived in

equation (3), the generic magnitude plot of H f (s) can be

drawn as shown in figure 3 at =376614, the magnitude

of H f (j376614) from the magnitude plot of H f (j )

should at most be -70dB. This is the guideline o

choosing the values for Li, L g , C f and Rd . Finally, the

LCL filter components are chosen following thisguideline and the values of each component are shownin Table 1.

Table 1: Output filter parameters and their chosen values

Li L g c f Rd

300 H 100 H 30 F 1.5Ω

III. CONTROL SYSTEM DESIGN

The design of the controller for the inverter can bedivided into two parts: 1) current controller, and 2) DCvoltage controller.

A.

CURRENT CONTROLLER

A single phase feedback current loop is used toregulate the grid current. A proportional resonant (PR)control strategy is used as a compensator to track asinusoidal current reference signal.

7/24/2019 Current mode Controller Design for Single Phase grid connected Inverter Using Proportional Resonant Control Strategy

http://slidepdf.com/reader/full/current-mode-controller-design-for-single-phase-grid-connected-inverter-using 3/6

International Journal of Emerging Technologies and Engineering (IJETE)Volume 2 Issue 8, August 2015, ISSN 2348 – 8050

127

www.ijete.org

The plant model of the inverter can be derived by

combining equation (1) and (2), which yields:

Where,

(10)

The equation (9) can be simplified to equation

(11).

Figure 4: Current controller block diagram

Given the plant model, a PR compensator, is

then added to the closed loop.According to Figure 4, the relationship between the

input and the output of the current loop can be derivedas:

Where,

To successfully track the signal without

steady state errors, the magnitude of in Equation

(3.5) has equal to 1 at the fundamental frequency of

the .

For non-ideal PR controller the transfer function of

is given by:

The closed loop gain of the current control loopwith the PR compensator can be simply obtained by

Equation (4.9). The PR compensator's parameters andsystem's parameters are chosen in Table 2.

(16)

Table 2: PR compensator's parameters and system's

parameters

3 2000

0

0.0

1300

H

100

H

30

F

1.5

Ω

The bode plot of the compensated loop gain isshown in Figure 5.

Figure 4: Compensated current loop gain

B.

DC VOLTAGE CONTROLLER

The DC-link voltage can be regulated by a closed

loop voltage controller. Figure 5 is a simplified powerstage diagram which is used to analyze the DC voltage

behavior.

Figure 5: Inverter power stage diagramFor voltage loop modeling, the differential equation

on DC side is:

From the power balance equation:

A simple PI controller is used as the DC voltageloop compensator, which has the form of:

A selection of 0.1 and 1 yields a phase

margin of 60° in the compensated loop as shown inFigure 6.

7/24/2019 Current mode Controller Design for Single Phase grid connected Inverter Using Proportional Resonant Control Strategy

http://slidepdf.com/reader/full/current-mode-controller-design-for-single-phase-grid-connected-inverter-using 4/6

International Journal of Emerging Technologies and Engineering (IJETE)Volume 2 Issue 8, August 2015, ISSN 2348 – 8050

128

www.ijete.org

Figure 6: Compensated voltage loop gain

IV. SIMULATION RESULT

Figure 8 shows the MATLAB/SIMULINK

simulation setup for the current and voltage loop of theDC/AC inverter.

Table 3: Inverter current loop simulation powerstage parameters.

TABLE III

I NVERTER SPECIFICATIONS

Parameter Values

Grid nominal voltage 250V (RMS)

DC-link nominal voltage 400V (RMS)

Bridge side inductor 300

Grid side inductor 100

Filter capacitor 30

Filter damping resistor 1.5Ω

Switching frequency 30kHz

Figure 7 shows the steady state response of theinverter.

(a)

Grid current and voltage are in phase

(b) Grid current lags the voltage by 90 °

Figure 7: Steady state response of the current loopsimulation

7/24/2019 Current mode Controller Design for Single Phase grid connected Inverter Using Proportional Resonant Control Strategy

http://slidepdf.com/reader/full/current-mode-controller-design-for-single-phase-grid-connected-inverter-using 5/6

International Journal of Emerging Technologies and Engineering (IJETE)Volume 2 Issue 8, August 2015, ISSN 2348 – 8050

129

www.ijete.org

Figure 8: The Single-Phase circuit with its control system and inverter simulation model

The transient response of the current loopsimulation results are shown in Figure 9 for the output

grid current steps up from 0A to 10A (RMS).Simulations are done in two different circumstances

where in Figure 9(a), the current the grid voltage is in

phase with the grid voltage and in Figure 9(b), thecurrent lags 90°.

(a)

Grid current and voltage are in phase

(b) Grid current lags the voltage by 90 °

Figure 9: Step response of the current loop simulation

The grid voltage v g (t), inverter output current i gn(t)

and the current input command and are shown

from top to bottom of each sub-figure. It can beobserved that the current step response has a settling

time less than 2ms and a percentage overshoot that isless than 30%.

V. CONCLUSION

In this paper a current mode PR controller for a single- phase grid connected inverter has been designed. The controlstructure is comprised of two loops and has been arranged in a

cascaded fashion. Two system variables namely the gridcurrent and the output voltage are sensed as the feedbackvariables. The MATLAB/SIMULINK has been used to tuneand design the PR control parameters for both loops. The

performance is verified by subjecting the inverter system withsteady and transient responses. The simulation results haveshown that the controller is capable of producing good outputvoltage regulation.

REFERENCES

[1]Bass, R.M.; Krein, P.T." State-plane animation of power electronic systems: a tool for understandingfeedback control and stability.

[2]"Ieee standard for interconnecting distributedresources with electric power systems," IEEE Std

1547-2003, pp. 1 -16, 2003.[3] E. Paal and Z. Tatai, "Grid connected inverters

influence on power quality of smart grid," in Power Electronics and Motion Control Conference(EPE/PEMC), 2010 Uth International, sept. 2010

pp. T6 35 T6 39.[4] M. Ettehadi, H. Ghasemi, and S. Vaez-Zadeh,

"Reactive power ranking for dg units in distribution

7/24/2019 Current mode Controller Design for Single Phase grid connected Inverter Using Proportional Resonant Control Strategy

http://slidepdf.com/reader/full/current-mode-controller-design-for-single-phase-grid-connected-inverter-using 6/6

International Journal of Emerging Technologies and Engineering (IJETE)Volume 2 Issue 8, August 2015, ISSN 2348 – 8050

130

www.ijete.org

networks," in Environment and Electrical Engineering (EEEIC), 2011 10th InternationalConference on, may 2011, pp. 14.

[5] M. Kandil, M. El-Saadawi, A. Hassan, and K. Abo-

Al-Ez, "A proposed reactive power controller for dg

grid connected systems," in Energy Conference and Exhibition (EnergyCon), 2010 IEEE International,dec. 2010, pp. 446 -451.

[6] S. Kjaer, J. Pedersen, and F. Blaabjerg, "A review of

single-phase inverters for photovoltaic modules," Industry Applications, IEEE Transactions on, vol.41, no. 5, pp. 1292 1306, sept.-oct. 2005.

[7] G. Simeonov, "Novel resonant boost converter fordistributed mppt grid-connected photovoltaic

systems," Master's thesis, University of Toronto,Toronto, 2010.

[8] R. Erickson and A. Rogers, "A microinverter for

building-integrated photovoltaics," in Applied Power Electronics Conference and Exposition,2009. APEC 2009. Twenty-Fourth Annual IEEE,feb. 2009, pp. 911 917.

[9] “Design of a Current Mode PI Controller for a Single- phase PWM Inverter” 2011 IEEE Applied Power

Electronics Colloquium (IAPEC).

Authors

Name-Vinay SharmaFather Name- Shri SudarshanSharma

Course- M.Tech.Specialization- Electronics

Design and TechnologyInstitute- National Institute of Electronics andInformation Technology (NIELIT) Gorakhpur Centre,MMM University of Technology Campus, Gorakhpur- 273010

[email protected]

Name- Ravindra KumarFather Name- Shri Lalta

PrasadCourse- M. Tech.Specialization- ElectronicsDesign and Technology

Institute- National Institute of Electronics andInformation Technology (NIELIT) Gorakhpur Centre,MMM University of Technology Campus, Gorakhpur-

[email protected]

Name-Nishant TripathiPosition- Deputy DirectorOrganization- NationalInstitute of Electronics and

Information Technology

(NIELIT) (An Autonomous body ofDepartment of Electronics & InformationTechnology, Government of India) Gorakhpu

Centre, MMM University of Technology Campus

Gorakhpur- 273010. Contact no 07552997205

[email protected]


Recommended