**Open Access**-
**Authors :**Vrij Mohan Vidyarthi, Ravi Shankar Bahuguna, Lakhan Singh -
**Paper ID :**IJERTCONV7IS12042 -
**Volume & Issue :**NCRIETS – 2019 (Volume 7 – Issue 12) -
**Published (First Online):**23-12-2019 -
**ISSN (Online) :**2278-0181 -
**Publisher Name :**IJERT -
**License:**This work is licensed under a Creative Commons Attribution 4.0 International License

#### Study the Circuit Topology for MPPT Distributed in Very Large-Scale Photovoltaic Plants

Vrij Mohan Vidyarthi1

Asst. Professor,

Department of Electrical Engineering JBIT, Dehradun, Uttarakhand

Ravi Shankar Bahuguna2

Asst. Professor,

Department of Electrical Engineering JBIT, Dehradun, Uttarakhand

Lakhan Singp

Asst. Professor,

Department of Electrical Engineering JBIT, Dehradun, Uttarakhand

Abstract In this paper, a simple circuit is introduced to achieve DMPPT. Due to the partial shadowing and mismatch of PV modules in very large scale photovoltaic power plants (VLSPV),a single point MPPT is not be efficient for all PV modules. Therefore, distributed maximum power point tracking (DMPPT) can be used to build yield control capacity by expanding the quantity of converter/inverter units. Then, the limitations of DC bus voltage, total output power, duty ratio of the different converter choices are discussed. Simulation results also show that the proposed strategy can be utilized to realize seamless transition between soft start mode and steady state operation.

Keywords:- DMPPT, Lagrange's Theorem, Sensitivity, Stability, VLS-PV

used to connect the low voltage output from the inverters to the 11kV local distribution lines.

So far, four major megawatt circuit topologies as shown in Fig. 1 have been proposed for VLS-PV systems

:

Centralized inverter,

String inverter,

String inverter with a team concept,

Multi-string inverter.

INTRODUCTION

In curtain condition, renewable energies are being considered as key resources to meet the continuously increasing demand of energy and to improve the reliability of electric power systems [1-3]. According to an IEA report, the worlds total CO2 emissions and primary energy demand in 2030 will be twice. This increasing energy consumption causes serious environmental problems such as global warming, acid rain and many others. To resolve both energy and environmental problems, photovoltaic (PV) solar energy has become a significant and attractive candidate for green power generation in distribution networks [4-7]. However, due to PVs low energy density, to achieve the same megawatt power level as others power plants do, the Very Large Scale PV (VLS-PV) power plants usually require hundreds acres of land and hundreds of thousands of PV modules [8].

One example, if consider the VLS-PV systems is the solar power plant In this 10.2 MW facility, 52,000 sun power PV modules are installed on 120 acres of land. Forty- two 200 kW and two 100 kW inverters are used to convert the 400 V dc from series-connected PV module groups to 50 Hz low voltage ac. Then, 50 Hz power transformers are

Fig. 1. Major existing megawatt circuit topologies for VLS-PV systems

The centralized inverter, as shown in Fig. 1 (a), seems to be the lowest cost solution for the megawatt PV system. However, there are several major drawbacks to this topology such as mismatch losses due to single maximum power point tracking, low upgradeability, higher power loss

NCRIETS 2019 Conference Proceedings

caused by reverse current blocking diodes, and very low continuity of service at low irradiation. In the circuit topology with string inverters, shown in Fig. 1(b), mismatch power losses are reduced and diodes between strings are eliminated. Thus, systems efficiency will be increased. The team concept, as shown in Fig. 1 (c), utilizes a jumper switch between the strings. Therefore, the PV power plants enable to operate continuously at low irradiations. The multi-string inverter, as shown in Fig. 1 (d), has a DC/DC converter for each string that allow the integration of heterogeneous PV strings. This system is also upgradable to a certain extent. Since the DC/DC converters increase the number of control freedoms in the system, the MPPT, system protection, and ancillary services can be realized with more flexibility. The major disadvantage of this circuit topology is high cost and low reliability because of more power electronics stages are involved. So far, the most popular circuit structure is the string inverter shown in Fig. 1 (b). The Nellis PV 13.2 MW PV power plant is the best example.

To upgrade existing VLS-PV systems such as the one at Nellis Air Force Base to achieve more power and flexibility, DC/DC converters can be added before each inverter to form multi-string inverter as shown in Fig. 1(d). But, this solution may not be cost efficient and reliable. In this paper, a simple and cost efficient circuit is introduced. Then, Lagranges theorem is utilized to calculate DMPPT. After

Fig. 2. The circuit topology with one DC/DC converter in VLS-PV systems

Fig. 3. Block diagram of two PV strings control with one DC/DC converter

J =Vpv1 * I pv1 +Vpv2 * I pv21 * +g1 (VPV.1, IPV.1 )

I

P V

, . (

*+ ( )+*( 1 4

that, in a case study, this circuit will be compared with other

g V I

V V * I

V ) )

typical circuits for maximum achievable power. At the end, the sensitivity and controllability of different DC/DC converters are analyzed and compared with each others for more flexible and easier control. A seamless transition between a soft start and steady state operation is

P V

.

2 22

P P

V V

. d .

2 3 c 1

P P

V V

. .

2 2

an a

demonstrated.

A SIMPLE AND COST EFFICIENT CIRCUIT TOPOLOGY FOR DMPPT

As shown in Fig. 2, to increase the power handling of existing PV power plants with one converter a time, a DC/DC converter can be added to one string of the string inverter structure.

In this equation, constant coefficients 1 d r

, 2 3 e

The following equations can be used to describe the dc side voltage of circuit:

Vdc = VPV .1 * + f (D) VPV .2 and (1) used to make the derivatives of the equations equal zero. To

IPV.1 achieve maximum power, the derivative of the total

power

f (D)= , (2) based on the two PVs voltages and currents should be zero:

IPV.2

dJ 0, dJ 0, dJ0, dJ 0

where, f (D) is the transfer function of DC/DC converters. = = = (5)

dVPV .1 dIPV .1 dVPV .2

dIPV .2

By control the current of the inverter which is connected to By using the (1), (2), (3), and (5), the number of non-linear the grid, the total power of the inverter will be determined.

Based on this power, with the specific range of modulation indexes and Vdc, the current and the related voltage of the PV2 will be controlled. Then, a desired output voltage of

equations will be the same as the number of parameters. Through the use of standard numerical algorithms, such as Newton-Raphson, the PV voltage and current can be

calculated and stored in a lookup table that includes

DC/DC converter can be calculated. Through voltage irradiation and temperature. Some of the calculated results control of the DC/DC converter, the voltage and the current are shown in the case study part of this paper.

of the first PV will be controlled. This idea is shown in Fig. To implement the control algorithm for this circuit, the

3. designed dc bus voltage should be in the reasonable range. To calculate the maximum power, based on Lagrange's The algorithm and modulation index that are utilized for the theorem, (1) and (2), the following equations can be utilized inverter determine the minimum voltage in the DC bus. If as constraints: output voltage of inverter is directly connected to the grid, g1 (VPV .1 , I PV .1 ) 0, g2(VPV .2 , I PV .2 ) 0 , (3) the equivalent modulation index is described by the

following equation:

where, g1 and g2 are the dynamic equations of two PVs. Vgrid *

As a result, the total power can be derived as follows:

by the maximum modulation index:

2

2

*V

gri

d

Vdc

(min)

.

(7)

3 * M max

The magnitude of dc input current for the inverter is IPV 2 .

2

Modulation Index (M )= 3 , (6)

Vdc

Therefore, the minimum dc voltage will be defined

Then, based on I PV 2 andVPV 2 , the power of PV1 will be calculated as below:

PPV1(Vdc VPV 2 ) * IPV 2 .

(8)

This power should not be more than MPPTPV 1 . Thus, the maximum dc voltage will be determined by the following equations:

MPPT(P1 ) (Vdc (max) VPV 2 ) * I PV

2

(9)

MPPT (P1 )

(10)

Vdc

(max)

VPV 2

IPV 2

Since, the total output power is dictated by dc bus voltage andVPV 2 , if PV1 works less than its own maximum power point, it can work on two different points with positive and negative dPPV 1 . This idea is shown in Fig. 4. For the point dVPV 1

1 with positive derivative, at any disturbance of VPV 1 , at the same duty ratio of the dc/dc converter, the dc bus will receive positive feedback. But for the point 2, a possible

disturbance of VPV 1 will result in negative feedback to the dc bus. Thus a more stable working point could be achieved.

CASE STUDY FOR DISTRIBUTED MAXIMUM POWER TRACKING

To analyze maximum achievable power in the circuit, the single dc/dc converter topology is compared with two other cases: no DC/DC converter and two DC/DC converters, as shown in Fig. 5. In this comparison, two PV strings have receive different irradiations. And the total maximum power at the predefined irradiation level is 226 kW. The results of Fig. 5(b) and (c) are listed in Tables 1 and 2 respectively. Then, in Fig. 6, the generated power for these systems is compared with each others.

As shown in the results, when two DC/DC converters are utilized, if Vdc is chosen in the range that two converters can

switch less than their maximum voltage stress, MPPT always can be achieved for both PVs [4], which is shown in Fig. 6. For the case with one DC/DC converter, in very limited range of Vdc , the total achievable power is very close to the summation of MPPT for both PVs. In the case with no DC/DC converter, there is no compensation on PVs mismatching and the total power is decreased dramatically.

Fig. 4. Two working points for same power in first PV

Fig. 5. Three different circuit topologies for DMPPT in VLS-PV

To analyze the control sensitivity, for the case study with one DC/DC converter, different transfer functions are tested.

Then, the change of duty ratio for Vdc from 600V to 1000V

is calculated and compared with each others. The results are shown in Fig. 7. As shown in this picture, by using D/(1-D) or (1-D)/D transfer function (buck-boost converter), range of

changes for duty ratio will be increased. Then, more flexibility for control and implementation of DC/DC converter can be achieved. It should be noted that for this circuit, the current of second PV string can be higher or lower than the first one. Therefore, buck or boost converter cannot be utilized.

Table. 1: The maximum generated power for two PV strings without dc/dc converter.

Vdc

Vpv1(V)

Vpv2 (V)

Ipv1 (A)

Pmax (Watt)

(V)

*10 2

5 )

( *10

600

0.016046

6.283953

1.666001

1.045303

650

0.216046

6.283953

1.666000

1.082900

700

0.716045

6.283954

1.665999

1.166199

750

1.216045

6.283954

1.665997

1.249498

800

1.716043

6.283956

1.665992

1.332794

850

2.216019

6.283980

1.665923

1.416034

900

2.715664

6.284335

1.664909

1.498418

950

3.210642

6.289357

1.650527

1.568001

1000

3.664459

6.335540

1.515562

1.515562

Table. 2: The maximum generated power for two PV strings with one dc/dc converter.

Vdc

Vpv1(V)

Vpv2 (V)

Ipv1(A)

Ipv2(A)

f(D)

Pmax (Watt)

(V)

2

( *105 )

*10

600

3.558665

4.316569

1.574232

3.327827

0.4730511

1.99669679

650

3.558665

4.806462

1.574232

3.307967

0.4758912

2.15017897

700

3.558665

5.258411

1.574232

3.216698

0.4893939

2.25168895

750

3.558665

5.616699

1.574232

2.974655

0.5292152

2.23099140

800

3.558665

5.868378

1.574232

2.628125

0.5989946

2.10250001

850

3.558665

6.043501

1.574232

2.280550

0.6902863

1.93846786

900

3.558665

6.168876

1.574232

1.978779

0.7955578

1.78090073

950

3.558665

6.261409

1.574232

1.729816

0.9100577

1.64332559

1000

3.558665

6.331636

1.574232

1.527157

1.03082561

1.52715728

2.4 x 105 DMPPT for Different Circuits in VLS-PV

2.2

2

Pm (w att)

Pm (w att)

1.8

One DC-DC

Converter

Two DC-DC

Converter

1.6

1.4

1.2

1

600

No DC-DC

Converter

650 700 750 800 850 900 950

Vdc (V)

100

0

Fig. 6. Maximum achievable power for three different cas

SIMULATION RESULTS

The simulation results of circuit topology with one DC/DC converter are shown Fig. 8. The transient of total output power and dc bus voltage is shown for the case that desired dc bus voltages is set at 700 V. The simulated output power verifies the calculated results in Table 2. The simulation

results also show that with the proposed control strategy (Fig. 3), by changing the ac side current command, the one dc/dc converter based system can start frm zero output power and have seamless transition between soft start and steady state operation.

0.9

0.8

DC-DC Converters Duty ratio Changes

(1-D)/(2D- 1)

(deltaD)

(deltaD)

0.7

es

es

0.6

Ratio

Ratio

0.5

Duty

Duty

0.4

D/(1-

D)

(2D-1)/(1- D)

(1-D)/D

D/(1-2D)

0.3

0.2

600

650 700 750 800 850 900 950

Vdc (V)

100

0

Fig. 7. Different DC/DC duty ratio changes based on dc bus voltage.

Dc bus voltage control (b) Total output power

(c) pv2 output voltage (d) ac side current

Fig. 8. Simulation results (a) Dc bus voltage control; (b) Total output power; (c) pv2 output voltage; (d) ac side current.

CONCLUSION

In this paper, a single DC/DC converter based solution is shown as an addition to the power conditioning circuit topologies for VLS PV power plants. The benefit of this circuit is that it could be used to upgrade the existing systems with one dc/dc converter at a time. A case study is shown in this paper. The study results show that with one more dc/dc converter, the achievable power of the system can be improved significantly. The control strategy of the overall circuit structure and the circuit selections for the added DC/DC converter are also introduced.

REFERENCES

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