Научная статья на тему 'Improvement of voltage stability for grid connected solar photovoltaic systems using static synchronous compensator with recurrent neural network'

Improvement of voltage stability for grid connected solar photovoltaic systems using static synchronous compensator with recurrent neural network Текст научной статьи по специальности «Электротехника, электронная техника, информационные технологии»

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Ключевые слова
static synchronous compensator / photovoltaic fed / adaptive neuro-fuzzy inference system / recurrent neural network / статичний синхронний компенсатор / фотоелектричне живлення / адаптивна нейро-нечітка система виведення / рекурентна нейронна мережа

Аннотация научной статьи по электротехнике, электронной технике, информационным технологиям, автор научной работы — Kumar T.P., Ganapathy S., Manikandan M.

Purpose. This article proposes a new control strategy for static synchronous compensator in utility grid system. The proposed photovoltaic fed static synchronous compensator is utilized along with recurrent neural network based reference voltage generation is presented in grid system network. The novelty of the proposed work consists in presenting a Landsman converter enhanced photovoltaic fed static synchronous compensator with recurrent neural network algorithm, to generate voltage and maintain the voltage-gain ratio. Methods. The proposed algorithm which provides sophisticated and cost-effective solution for utilization of adaptive neuro-fuzzy inference system as maximum power point tracking assures controlled output and supports the extraction of complete power from the photovoltaic panel. Grid is interconnected with solar power, voltage phase angle mismatch, harmonic and voltage instability may occur in the distribution grid. The proposed control technique strategy is validated using MATLAB/Simulink software and hardware model to analysis the working performances. Results. The results obtained show that the power quality issue, the proposed system to overcome through elimination of harmonics, reference current generation is necessary, which is accomplished by recurrent neural network. By recurrent neural network, the reference signal is generated more accurately and accordingly the pulses are generated for controlling the inverter. Originality. Compensation of power quality issues, grid stability and harmonic reduction in distribution network by using photovoltaic fed static synchronous compensator is utilized along with recurrent neural network controller. Practical value. The work concerns the comparative study and the application of static synchronous compensator with recurrent neural network controller to achieve a good performance control system of the distribution network system. This article presents a comparative study between the conventional static synchronous compensator, static synchronous compensator with recurrent neural network and hardware implementation with different load. The strategy based on the use of a static synchronous compensator with recurrent neural network algorithm for the control of the continuous voltage stability and harmonic for the distribution network-linear as well as non-linear loads in efficient manner. The study is validated by the simulation results based on MATLAB/Simulink software and hardware model. References 29, tables 2, figures 25.

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Мета. У статті пропонується нова стратегія управління статичним синхронним компенсатором в енергосистемі. Запропонований статичний синхронний компенсатор з живленням від фотоелектричних елементів використовується разом з генератором опорної напруги на основі нейронної рекурентної мережі, представленим в мережі енергосистеми. Новизна запропонованої роботи полягає у поданні статичного синхронного компенсатора з покращеним фотоелектричним перетворювачем Ландсмана з алгоритмом рекурентної нейронної мережі для генерації напруги та підтримки коефіцієнта посилення за напругою. Методи. Запропонований алгоритм, який забезпечує ефективне та економічне рішення для використання адаптивної нейро-нечіткої системи логічного виведення як відстеження точки максимальної потужності, забезпечує контрольований вихід та підтримує вилучення повної потужності з фотогальванічної панелі. Мережа взаємопов’язана із сонячною енергією, у розподільній мережі можуть виникати невідповідність фазового кута напруги, гармоніки та нестабільність напруги. Запропонована стратегія методу управління перевіряється з використанням моделей програмного забезпечення MATLAB/Simulink та апаратного забезпечення для аналізу робочих характеристик. Результати. Отримані результати показують, що проблема якості електроенергії, яку запропонована система долає за допомогою усунення гармонік,потребує генерації еталонного струму, що здійснюється рекурентною нейронної мережею. За допомогою рекурентної нейронної мережі більш точно формується еталонний сигнал і відповідно генеруються імпульси для керування інвертором. Оригінальність. Компенсація проблем з якістю електроенергії, стабільністю мережі та зниженням гармонік у розподільній мережі за допомогою статичного синхронного компенсатора з фотоелектричним живленням використовується разом із контролером рекурентної нейронної мережі. Практична цінність. Робота стосується порівняльного дослідження та застосування статичного синхронного компенсатора з рекурентним нейромережевим контролером для досягнення хорошої продуктивності системи управління системою розподільної мережі. У цій статті представлено порівняльне дослідження традиційного статичного синхронного компенсатора, статичного синхронного компенсатора з рекурентною нейронною мережею та апаратною реалізацією з різним навантаженням. Стратегія, що ґрунтується на використанні статичного синхронного компенсатора з рекурентним алгоритмом нейронної мережі для ефективного контролю стабільності постійної напруги та гармонік для лінійних та нелінійних навантажень розподільної мережі. Дослідження підтверджується результатами моделювання з урахуванням програмно-апаратної моделі MATLAB/Simulink.. Бібл. 29, табл. 2, рис. 25.

Текст научной работы на тему «Improvement of voltage stability for grid connected solar photovoltaic systems using static synchronous compensator with recurrent neural network»

UDC 621.3

https://doi.org/10.20998/2074-272X.2022.2.10

T. Praveen Kumar, S. Ganapathy, M. Manikandan

Improvement of voltage stability for grid connected solar photovoltaic systems using static synchronous compensator with recurrent neural network

Purpose. This article proposes a new control strategy for static synchronous compensator in utility grid system. The proposed photovoltaic fed static synchronous compensator is utilized along with recurrent neural network based reference voltage generation is presented in grid system network. The novelty of the proposed work consists in presenting a Landsman converter enhanced photovoltaic fed static synchronous compensator with recurrent neural network algorithm, to generate voltage and maintain the voltage-gain ratio. Methods. The proposed algorithm which provides sophisticated and cost-effective solution for utilization of adaptive neuro-fuzzy inference system as maximum power point tracking assures controlled output and supports the extraction of complete power from the photovoltaic panel. Grid is interconnected with solar power, voltage phase angle mismatch, harmonic and voltage instability may occur in the distribution grid. The proposed control technique strategy is validated using MATLAB/Simulink software and hardware model to analysis the working performances. Results. The results obtained show that the power quality issue, the proposed system to overcome through elimination of harmonics, reference current generation is necessary, which is accomplished by recurrent neural network. By recurrent neural network, the reference signal is generated more accurately and accordingly the pulses are generated for controlling the inverter. Originality. Compensation of power quality issues, grid stability and harmonic reduction in distribution network by using photovoltaic fed static synchronous compensator is utilized along with recurrent neural network controller. Practical value. The work concerns the comparative study and the application of static synchronous compensator with recurrent neural network controller to achieve a good performance control system of the distribution network system. This article presents a comparative study between the conventional static synchronous compensator, static synchronous compensator with recurrent neural network and hardware implementation with different load. The strategy based on the use of a static synchronous compensator with recurrent neural network algorithm for the control of the continuous voltage stability and harmonic for the distribution network-linear as well as non-linear loads in efficient manner. The study is validated by the simulation results based on MATLAB/Simulink software and hardware model. References 29, tables 2, figures 25. Key words: static synchronous compensator, photovoltaic fed, adaptive neuro-fuzzy inference system, recurrent neural network.

Мета. У cmammi пропонуеться нова стратегiя управлтня статичним синхронним компенсатором в енергосистемi. Запропонований статичний синхронний компенсатор з живленням eid фотоелектричних елементiв використовуеться разом з генератором опорног напруги на основi нейронног рекурентног мережi, представленим в мережi енергосистеми. Новизна запропонованог роботи полягае у поданы статичного синхронного компенсатора з покращеним фотоелектричним перетворювачем Ландсмана з алгоритмом рекурентног нейронног мережi для генерацп напруги та тдтримки коефщента посилення за напругою. Методи. Запропонований алгоритм, який забезпечуе ефективне та економiчне ршення для використання адаптивноi нейро-нечтког системи логiчного виведення як вiдстеження точки максимальноi потужностi, забезпечуе контрольований вих^д та тдтримуе вилучення повног потужностi з фотогальваючног панелi. Мережа взаемопов'язана iз сонячною енергiею, у розподыьнш мережi можуть виникати невiдповiднiсть фазового кута напруги, гармошки та нестабыьтсть напруги. Запропонована стратегiя методу управлтня перевiряеться з використанням моделей програмного забезпечення MATLAB/Simulink та апаратного забезпечення для аналiзу робочих характеристик. Результаты. Отриман результати показують, що проблема якостi електроенергп, яку запропонована система долае за допомогою усунення гармонж,потребуе генерацп еталонного струму, що здтснюеться рекурентною нейронног мережею. За допомогою рекурентног нейронног мережi быьш точно формуешься еталонний сигнал i вiдповiдно генеруються iмпульси для керування твертором. Оригтальнкть. Компенсащя проблем з яюстю електроенергп, стабыьтстю мережi та зниженням гармотк у розподыьнш мережi за допомогою статичного синхронного компенсатора з фотоелектричним живленням використовуеться разом iз контролером рекурентног нейронног мережi. Практична цшшсть. Робота стосуеться порiвняльного до^дження та застосування статичного синхронного компенсатора з рекурентним нейромережевим контролером для досягнення хорошог продуктивностi системи управлтня системою розподыьног мережi. У цт статтi представлено порiвняльне до^дження традицшного статичного синхронного компенсатора, статичного синхронного компенсатора з рекурентною нейронною мережею та апаратною реалiзацiею з рiзним навантаженням. Стратегiя, що Грунтуеться на використаннi статичного синхронного компенсатора з рекурентним алгоритмом нейронног мережi для ефективного контролю стабiльностi постшног напруги та гармотк для лттних та нелттних навантажень розподыьног мережi. Дослiдження тдтверджуеться результатами моделювання зурахуванням програмно-апаратногмоделiMATLAB/Simulink.. Бiбл. 29, табл. 2, рис. 25. Ключовi слова: статичний синхронний компенсатор, фотоелектричне живлення, адаптивна нейро-неч^ка система виведення, рекурентна нейронна мережа.

Abbreviations

ANFIS Adaptive Neuro-Fuzzy Inference System PI Proportional-Integral

ANN Artificial Neural Network P-O Perturb-Observe

DVR Dynamic Voltage Restorer PV Photovoltaic

FACTS Flexible AC Transmission System RNN Recurrent Neural Network

FFT Fast Fourier Transform SEPIC Single Ended Primary Inductance Converter

FIS Fuzzy Inference System SRF Synchronous Reference Frame

IC Incremental Conductance STATCOM Static Synchronous Compensator

LSTM Long Short-Term Memory THD Total Harmonic Distortions

MPPT Maximum Power Point Tracking VSI Voltage Source Inverter

PCC Point of Common Coupling

Introduction. Nowadays, power quality is quality problems greatly affect the distribution side which considered as a major issue in industrial sectors because results in malfunctioning and failure of sensitive loads

of increasing sensitive loads 2]. In g^ral the power © T. Praveen Kumar, S. Ganapathy, M. Manikandan

[3]. Majority of power quality issues are caused by nonlinear loads and harmonic imbalances [4]. Voltage sag/swell, harmonic distortions, spikes and surges and transient disruptions are the most serious power quality issues that severely affect the power distribution system [5, 6]. Thus in modern power systems, stability enhancement and reactive power compensation are the important actualities; DVR, a FACTS device is widely employed in achieving so. It solves the voltage sag problem in a unique way, however, it only compensates for a specific proportion of sag, and so the power quality problem is not totally eliminated [7-9].

Therefore, one of the excellent FACTS device called STATCOM is utilized in this work which assists in improvising the sag/ swell control, dynamic voltage control, real and reactive power control etc., providing better power quality and voltage stability [10-12]. Due to advanced technologies including incorporation of large-scale renewable distributed generation, enhanced communication as well as control methods, and increased storage capacity, generation of power and distribution networks are facing significant variations. Owing to the static structure, minimal size, and low cost for maintenance, solar PV dependent energy generation systems are widely used by various renewable resources for the generation of power [13]. Since solar PV energy is intermittent, the PV systems are combined with storage systems for energy as well as other sources for renewable energy to ensure trustworthy functioning. This is attained by the parallel connection of DC-DC converters with PV panel [14]. A DC-DC converter is necessary amidst the inverter and the PV panel for avoiding large number of PV panels connected in series manner. This converter is also essential in power generation of PV system for providing electrical isolation [15].

Regarding DC-DC converters, boost converters are used in increasing the PV panel voltage and their incorporation reduces the input ripple current obtained from the solar panel, increasing the panel's reliability and extraction power [16]. Despite these benefits, boost converters have a discontinuous input and output, necessitating a greater number of switching devices. This influences the circuit dynamics by causing fluctuations in the gain of the circuit [17]. To overcome this limitation, a buck-boost converter has been developed, which has a wide input and output voltage range with increased performance. It achieves an additional input feature that increases the dc input voltage range, greatly improving the PV panel's versatility but possesses centralized operation [18]. Zeta converter is also utilized in PV systems which generate minimal ripple current and improved voltage gain but the gain of voltage is sensible with the inductance leakage [19]. CUK converters employed by the PV panel exhibited minimal switching losses together with better voltage regulation and greater efficiency providing versatile operation. However, due to the resulting sharp speed up/down voltage, these converters lagged, impacting the precise utilization [20]. Furthermore, CUK converter utilization is restricted to the medium-low power range, as high-power operation necessitates large input and output inductors, and the converter is harmed when linked to a utility grid due to

grid voltage fluctuations [21, 22]. Moreover, SEPIC converters are utilized in PV systems to generate an output which is non-inverting and is considered as easy to drive due to the referenced switch towards ground node. However, these converters are not finer in terms of cost and efficiency [23]. In order to tackle these issues, Landsman converter is exploited which offers noiseless operation with improved efficiency.

To extract the full quantity of solar power, the DC-DC converter is used in conjunction with a MPPT controller. It is a significant component included in PV systems to improve the efficiency of extracting renewable energy. Numerous schemes for MPPT control are proposed and in most of them, PV voltage is selected as the variable for control because of its enhanced characteristics for stability [24]. P-O is a commonly used MPPT algorithm because of its simplicity and cost-effectiveness. The perturbation's phase size is estimated by the tradeoff amidst MPPT precision and MPPT rate which is little tedious. The use of IC instead of P-O, which is free of oscillations while tracking the maximum power point, yields more precise performance. Despite these benefits, this approach is limited by environmental conditions [25]. These flaws are overcome by employing closed loop control algorithms that balance the DC-link voltages, resulting in minimal distortions and efficiently preserving the grid system's power quality [26]. Closed loop algorithms produce optimal results when dealing with external disruptions, allowing grids to operate in real time but result in high emission costs due to less emission allowance [27]. To overcome these issues, ANFIS is exploited in this approach which combines the benefits of complementary ANN and fuzzy logic algorithms, resulting in better fuzzy controller accuracy and a shorter development time.

Furthermore, the converter's output DC voltage is transformed to AC voltage, which is accomplished by a 3^ VSI that is grid connected. The synchronization of grid is regarded as a significant challenge due to issues such as voltage distortions induced by local nonlinear loads and grid disturbances. The basic elements of the common coupling voltage point are evaluated with the consideration of power quality variations for achieving improved synchronization of grid [28, 29]. These grid synchronization frameworks improve control efficiency and interpolate improved grid quality power, resulting in precise outcomes. The control architectures considered are complex hybrid systems that combine classical and modern techniques, such as artificial intelligence and statistical models.

The goal of this paper is the synthesis of a recurrent neural network based reference current generation control structure and the identification of the latest trends. The main findings are summarized in the development of increasingly robust controllers for operation with improved efficiency, power quality, stability, safety, and economics. A Landsman converter is exploited which acts as a ripple filter and boosts the oscillating PV voltage. An MPPT controller adopting ANFIS is utilized for providing better accuracy. RNN based reference current generation is utilized for effective harmonic elimination. A 3^ VSI for inverting the input DC voltage along with LC filter and AC grid is also employed in STATCOM applications.

Proposed control system. The schematic diagram for the proposed approach is given in Fig. 1, in which the

voltage stability of the power system is enhanced by the implementation of STATCOM. PV power is applied to the STATCOM along a Landsman converter. The point of functioning of PV array is at the maximum power point while the converter power is grid synchronized. For the controlling of Landsman converter, an MPPT controller is connected which tracks the maximum power by evaluating the current as well as voltage obtained from the PV array. It regulates the reference voltage or duty cycle for matching the power to instant power point. The MPPT controller exploits ANFIS and is non-linear and varies in accordance with time. It performs the evaluation of signals and its optimal selection thus mitigating the steady-state error.

Fig. 1. Schematic diagram of the proposed approach

RNN based reference current generation is utilized in this work, by which the harmonics are eliminated for any change in load and source voltage. Thus, the pulses for controlling the VSI are generated by using hysteresis current controller, thereby providing reactive power compensation and harmonic elimination.

Modeling of PV system. A solar cell is essentially a semiconductor diode that is exposed to irradiance. This solar irradiance comprises of photons having various levels of energy of which few are absorbed in p-n junction. The photons with minimum energy level when compared to the solar cell's band gap are unusable. The photons with maximum energy when compared to band gap are utilized in the range similar to band gap. The equivalent circuits generally utilized for the PV cell modeling consists of a single diode offering better tradeoff between simplicity and accuracy and the corresponding diagram is shown in Fig. 2.

■out Rs ,

Iph

Is

sh ■

57

VD

Rsi

Vo

Fig. 2. Equivalent circuit of PV cell

The photo current Iph is based on the solar radiation R and temperature T and is given by

Iph = Iph ^ref M1 + k0 "(T " Tref )) ; C1)

I

T V

phx ref }

R

R

' Is

ref

Mref)

(2)

where Iph(Tref) is the photo current corresponding to nominal temperature Tref; Rref is the radiation which is nominal obtained by PV's constructor; k0 is the constant which is given as

k0 — -

Is

ÁT )~ Isc (Vref )

T - T.

(3)

ref

where Isc is the current across short circuit.

In PV system, the temperature of environment is a nominal one and from (1), (2) for T = Tref, the photo current Iph depends on solar radiation and is given as

R — (4)

1 ph 1 ph V ref

Tref V D '1 sc Tref ).

R

ref

Equation (5) denotes diode equation in which Vout and Iout are the current as well as voltage outputs, Isat is the saturation current of the diode VD, Vth is the thermal voltage of the diode, Rs is the resistance in series

Id = Is

exp

f V + T R ^ v out^ out' ns

V

th

-1

The current across parallel resistance is given as

T _ Vout ^ Iout ' Rs Ish -

R

(5)

(6)

sh

The V-I characteristic equation is given as

I — I , - I

1 out 1 ph 1 sat

(

Vout ^ Iout ' Rs

Rss

exp

A

Í V + I R ^ Vout ^~2out 'Rs

Vt

th

-1

(7)

V 'xsh y

Thus, the modeling of PV system is performed and from (7), the output voltage and the input voltage are evaluated.

Modeling of Landsman converter. Landsman converter is a DC-DC converter which is used to enhance the voltage attained from the PV system providing a noiseless operation. The converter is designed to function in continuous conduction mode irrespective of irradiance level variations. The connection diagram of the proposed Landsman converter is given in Fig. 3.

uCa

L _VL VD

r^^^S I l<

vn

Lh 3 Cb

I

J

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Vo

Fig. 3. Landsman converter

The input voltage is given by Va and the output voltage is given by V0. The switch is represented as VS and the output resistance is denoted as R. The current across the inductors La, Lb and the voltage across Ca are continuous in nature. It has the ability to boost the output and functions in boost mode when the value of duty ratio is greater than 50 %.

Operating mode 1 - switch ON. In operating mode 1, the switch is in ON condition and the voltage of capacitor

+

Ca termed as VCa reverse biases the diode. The current across Lb termed as ILb flows along the switch. Since VCa is greater than the resultant voltage V0, and Ca discharges along the switch, transmitting energy to the inductor Lb and the output. Hence, VCa decreases and ILb increases and the input supplies energy to the input inductor La.

Operating mode 2 - switch OFF. In operating mode 2, the switch is in OFF condition and the forward biasing of diode results in a configuration of circuit as given in Fig. 3. The current across inductor Lb termed as ILb flows along the diode VD. The inductor Lb transmits its energy retained to output across the diode. Consequently, Ca is charged across the diode with the energy from both the input as well as La and hence, VCa increases while ILb decreases.

The ripple in the input current ILa is calculated by considering the flow of all the ripple component of La across Ca. A/ represents the additional flux and the peak-to-peak ripple current is given by:

MLa = A//La . (8)

At switch off condition, the current across Ca is given as:

ICa - ILa - C

AV

Ca

(1 -DK '

where D is the duty ratio; ts is the switching period. The voltage ripple content of VCa is given as:

AVca = ILL-(1 -D)-ts .

Ca

Substitute (10) in (8): A/La ' '

C.

(9)

(10)

La

2 L 2 • C,

-(i - d ) • -2 -

1

8•La • Ca

I La •(l - D )

S

J sw

where fw = 1/ts is the switching frequency. Equation (11) is normalized as:

AlLa = 1 (1 - D)

1 La

So, we have:

8

' La • Ca

1 La -'

D

s

sw

•I 0

(1 - d)

where I0 is the current at the output side. Substitute (13) in (11)

D-Io

La -■

(14)

Fig. 4. Proposed ANFIS model

encompasses fuzzy logic principles, while neural network schemes are developed with the data base. Furthermore, the neuro-fuzzy approach appears to be appropriate if the system's data as well as information sources are available. In this approach, ANFIS based MPPT controller is utilized in PV system for tracking optimal power with minimal oscillation and the optimized fuzzy rules are attained by the embedding of the behavior of the complete system.

The outputs are obtained as the linear combination of the corresponding inputs and the fuzzy rules are given below:

1. When a = Xb b = Y\ then F = i\a + j\a + k\,

2. When a = X2, b = Y2 then F2 = i2a + j2a + k2; Layer 1 comprises adaptive nodes capable of

generating membership gradings of linguistic labels depending on assumed signals utilizing a proper parameterized membership function given as:

O1 p =Vx„ (a) =-1—(15)

1 +

a - cr

2 ^

where O1p represents the ph node output of initial layer; a is the node input p; Xt is the linguistic label obtained

(11) from X = (Xi, X2, Yi, Y2) which represents the fuzzy set and (xp, yp, zp} represents the premise parameter set utilized for adjusting the membership function's shape.

Layer 2 comprises nodes which are fixed and designated as n, further represented as the firing strength of every rule. The fuzzy AND of all inputs is taken as the

(12) output of every node:

O2p = Wp = Mxp (a) -MYp (b), P = 1,2,... (16)

Layer 3 results are firing strengths which are

(13) normalized and the pth node output is given by the ratio of

the firing strength of p firing strengths:

rule to the total of all rules of

O3 p - Wp -

Wp

(17)

8' fsw 'Ca ha

Modelling of MPPT controller. In «neuro-fuzzy» method different learning concepts from the neural network literature are applied to a FIS. Figure 4 shows the model of ANFIS and it possesses the merits of both neural network as well as fuzzy logic controllers. Comparing with existing techniques of MPPT, the ANFIS adopted MPPT controller offers improved accuracy for tracking with high convergence speed.

The three major components present in the ANFIS are a rule based one dealing with choosing fuzzy rules, a database concept representing the membership functions of fuzzy rules and a decision engine for depicting the output adopting inference procedure. Expert awareness

W1 + W2

Layer 4 outputs are calculated by the adaptive nodes depending on parameters utilizing:

O4p = Wp-Fp = Wp-\p-a + jp-b + kp), (18)

where W p is the firing strength from the third layer and

(ip, yp, kp) are the nodes consequent parameter set.

Layer 5 estimates the overall output of ANFIS from the total of the inputs of nodes:

YWP-FP

O.

p _ ¿—1 p p

-Yw •F -i--

5p p 1 p p

1-1 ZWp

(19)

1-1

x

The current, power of the PV system and the duty cycle ratio of the converter are obtained as outputs by ANFIS controller. The input labels permit the ANFIS for generating the converter command which is further fed to the converter for ensuring power adaptation.

RNN based reference current generation. The increased usage of non-linear loads leads to distortions in current and voltage; however, there are several methods to mitigate harmonics. The injection of opposite harmonics in the PCC is one of the effective methods. For this, accurate reference current generation is necessary and this is accomplished in this work by RNN. The illustration of RNN is given in Fig. 5 and the process of harmonics extraction is in Fig. 6.

Fig. 5. Structure of RNN

Fig. 6. Reference current generation

The structure of RNN resembles Elman network, in which the hidden layer's output at (£-1), is taken as the additional input for every sample step As the feedback is included from the prior step, an additional memory is included so that the neural network has the ability to grasp the dynamic behavior of the system. Back-propagation training is utilized for updating the weights.

By RNN, the harmonic components ih is extracted from the load current iL and the expression relating the harmonic component and load current is given as:

ih = iL - ibase, (20)

where the fundamental component is denoted as ibase, the

reference current i*sd is generated exactly by RNN thereby eliminating the harmonics.

RNN consists of numerous successive recurrent layers, and these layers are sequentially modeled in order to map the sequence with other sequences. RNN has a

strong capability in order to capture the contextual data from the sequence. RNN can operate the sequences with arbitrary length. RNN is the extension of feed forward neural network with the presence of loops in hidden layers. RNN takes the input with the sequence of samples and identifies the time relationship between the samples. The LSTM solves the classification issues by adding the network parameters with the hidden node and releases the state based on the input values. RNN achieves better performance than LSTM by activating the states based on network events. The regular RNN node consists of a single bias and weight. The RNN is evaluated using the gated recurrent unit and LSTM. The one-to-one network configuration is formed using the network parameters, where the time step of each input data generates the output with the specific time step.

• Forget gate layer;

• Input gate layer;

• Output gate layer;

• State gate layer.

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The input and the forget gate controls the previous hidden state and the present input state that contributes to the cells state. However, the input, output, and the forget gate activation is scaled using the sigmoid function, and the output of the hidden state is filtered using the hyperbolic function. The optimization of network parameters using the stochastic gradient is achieved based on the sequence of input data. However, the hyperparameters are the structure of the network (size and layers), sequence length, batch size, momentum, and learning rate, respectively. The hyperparameters are set through the stochastic or manual search.

The input of the RNN is the sequence of vectors as {y1, y2, ..., yM} the sequence of hidden states as {z1, z2, ..., zM} and the output unit as {v1, v2, ..., vM} respectively.

The recurrent layer consists of the recurrent function d, which takes the input vector yx and the hidden unit of the previous state zx as the input and generates the hidden state as:

zx = d(yx, zx -1) = tanh(( • yx + Q • zx -1). (21)

Moreover, the output units are calculated as:

vx = soft max(( • zx), (22)

where P, Q, R are the weight matrices; and the activation function tanh indicates the hyperbolic tangent function.

RNN uses the highly complicated function in order to learn and control the information flow in the recurrent layer for capturing the long term dependencies.

Results and discussions. The analysis of PV fed STATCOM assisting harmonics elimination, providing voltage stability is validated through MATLAB environment in this work. The output voltage of the PV system has been enhanced by exploiting the Landsman converter, through which the performance of the system is improved. The DC-link voltage stability is regulated through the ANFIS adopted MPPT controller offering high accuracy with increased speed of convergence. The specifications of PV module and Landsman converter are illustrated in Table 1.

The proposed work is implemented in MATLAB depicted in Fig. 7 and the obtained results are given below.

Table 1

Specifications PV module and Landsman converter

Parameter name Value

Cells in a module 36

Modules in series 17

Modules in parallel 4

Open circuit voltage Voc. V 21

Short circuit current Isc. A 7.1

Converter duty ratio D 0.5

Capacitance Ca. |F 4.7

Capacitance Cb. |F 1000

Inductance La. mH 0.9

Inductance Lb. mH 5.4

Capacitance C. |F 650

Resistance Rc. Q 0.03

Inductance Lf. mH 0.7

Resistance Rf. Q 0.01

t-105.

■.........!

t-105. s

t-105. s

_ t-105. s

Fig. 10. Output voltage waveform for PV panel

Fig. 11. Output current waveform for PV panel

Figures 12, 13 denote the output voltage waveform as well as output current waveform for a switched boost Landsman converter. The adopted ANFIS based MPPT extracts maximum power from the PV panel and is fed to the converter which further minimizes the ripples.

'H 4Û

M

1 1

r

t-105. s

t-105. s

4 1 it :

Fig. 12. Output voltage waveform for switched boost Landsman converter

Fig. 13. Output current waveform for switched boost Landsman converter

Figure 14 denotes the AC output voltage waveform for VSI with varying magnitude and frequency. The comparison of reference signal is performed with a carrier waveform of increased frequency for controlling the inverter's AC output voltage.

Figure 15 indicates the output voltage waveform for grid which is sinusoidal in nature with constant voltage and frequency.

Fig. 7.Control block of RNN

Figure 8 indicates the waveform for solar irradiation. Its increase leads to the increase of output current as well as voltage. This results in maximum power output in this mode of operation.

Figure 9 indicates the waveform for temperature. The increase in operating temperature results in the marginal increase of output current, but leads to decrease in output voltage and hence results in the decrease of net output power.

Irradiation, W in '/' (;

Fig. 14. Output voltage Fig. 15. Output voltage

waveform for VSI waveform for grid

Figure 16 indicates the output current waveform for grid which is sinusoidal in shape during its operation maintaining constant voltage and frequency. The grid current THD (Fig. 17) has been observed as 3.5 %, which satisfies the IEEE standard.

Fig. 8. Waveform for solar Fig. 9. Waveform for

irradiation temperature

Figures 10, 11 denote the waveforms for output voltage and output current in PV panel respectively. The output voltage obtained is a constant DC voltage with varying time.

........j„......

LPJMJ :

wwwww

t-105. s

a J 1» || IB i|

Fig. 16. Output current waveform for grid

Fundamental (50 Hz) = 10.45, THD = 3.5 %

li.mtHlll

r- ■■: -•■ f Hz ■■

Fig. 17. Grid current THD

I. A

V. V

V. V

I A

I A

V. V

The performance of the converter is analyzed in terms of its efficiency and voltage gain ratio. In both the aspects the proposed Landsman converter provides better results as shown in Fig. 18, with a maximum efficiency of 92 % and gain of 10.

Fig. 18. Comparison of efficiency and voltage-gain for Landsman converter

The tracking efficiency of the proposed MPPT algorithm is revealed to be more effective when analogized with conventional algorithms like P-O, IC and fuzzy. The tracking efficiency (Fig. 19) of P-O algorithm, IC, fuzzy and ANFIS are observed as 81 %, 84 %, 89 % and 92 % respectively.

bj'1.'1! J.ni.

I I

II

HJ-J IV '.Itt'W Un

Fig. 19. Comparison of tracking efficiency

DC-link voltage control plays a key role in determining the overall performance of the system, by which the voltage stability is ensured. Better settling time and THD is accomplished by using the proposed RNN based reference current generation whereas the PI controller and SRF theory delivers relatively low values depicted in Table 2.

Table 2

Comparison of settling time and THD

PI SRF RNN

Settling time, s-10-5 3.2 2.7 1.75

THD 4.7 % 4.2 % 3.5 %

Experimental setup. The PV array integrated utility grid using high gain converters hardware setup shown in Fig. 20. The operation of the STATCOM under two different cases.

Method 1. In this method the outer loop and inner loop of the grid used is PI voltage regulator and PI current controller.

Method 2. In the method the outer voltage loop used in PI voltage regulator and inner current loop used as RNN current controller. The above different methods to assure the controller performance at different system parameters, the local loads on grid side and solar irradiance has been changed as follows:

Fig. 20. Hardware setup for grid connected solar PV systems using STATCOM

1. Without any break 10 kW inductive load is applied and 0.8 s with 5 kW one more inductive load is applied.

2. Duration of 0.4 s to 0.6 s solar irradiance is changed from 1000 W/m2 to 600 W/m2.

In hardware circuit, displays the voltage and current before the boost converter of PV terminal. The current is changed with respect to change in irradiance of the solar PV panel. The PV array voltage level is changed by using high gain.

The proposed RNN controller shows better harmonic reduction than existing PI current controller. Moreover, the voltage stability of the system maintain with solar PV interconnected with distribution grid even under dynamic changes.

The load current of solar interconnected PV system is shown in Fig. 21.

For various operating condition the single stage grid connected system was studied and the off mode grid with solar PV system for disconnected source voltage depicted in Fig. 22.

The isolation condition of 1000 W/m2 is 400 V PV model power for reactive power by the inverter output shown in Fig. 23.

In this case the isolation level on the PV panel was varied as shown in the Fig. 24.

The FFT analysis of output voltage for the grid interconnected THD is depicted in Fig. 25 and the reduced THD is 4.24 %.

h-

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rated current

i - load current

\ \ — —f

f J

t, s

Fig. 21. Load current

I, mA

Fig. 22. Disconnected source voltage

T

Hiiftig bajan /

^nuCh

jL

ll HHuvi-W

—x^™

1 ki

OH1Lw±fr on №|U Claris.a. T.^ih h

Fig. 24. PV module power Ppv, active power Pgrid supplied by inverter, DC link voltage Vdc, current at the PCC Ipcc for switching ON of local load

The observation.

1. The proposed model, active power, reactive power injected for different isolation level, the inverter DC link voltage and current fed to the grid.

2. The THD level of the current is found to be below 5 %.

3. The reactive power is maintained at zero level in order to ensure the unity power factor operation.

4. Reactive power injected by the system voltage regulation at the terminal of the inverter the can be adjusted.

5. The system for a strong interconnection grid system, the performance of the controller is much better and faster as compared to that for a weak interconnected grid system.

While implementing the practical consequences, there will be a ripple current significant rise whenever the inverter feeds non-linear load, and its majority of concern is magnetizing current. The hardware prototype sampling time, harmonics will be slightly higher than its simulation results. It can be suppressed by either increasing the number of levels of inverter or designing a filter.

Conclusions.

In this paper, an efficient way of regulating voltage stability and mitigating harmonics is addressed by using a photovoltaic fed static synchronous compensator with recurrent neural network. Static synchronous compensator is basically shunt connected, which provides reactive power compensation and voltage stability. DC-DC converters has been incorporated with photovoltaic systems and Landsman converter has been utilized in this work

Fig. 23. PV module power Ppv, reactive power Qgrid supplied by inverter, DC link voltage Vdc, current at the PCC Ipcc for variable isolation Fundamental frequency (50 Hz) = 121.1. THD = 4.2 %

200

400

600

300

f Hz

Fig. 25. The performance of FFT analysis of output voltage for THD

along with adaptive neuro-fuzzy inference system maximum power point tracking for tracking the maximum power from the photovoltaic, along with DC-link voltage regulation. The chosen converter provides better efficiency and voltage-gain ratio when compared with other converters. Recurrent neural network assists in the generation of reference signal, so that the harmonics that occur in the system are effectively mitigated. The validation of the proposed work is carried out through simulation in MATLAB and also tested with hardware model. It has been observed that the total harmonic distortions is minimized to 5 % which suits IEEE standard.

Conflict of interest. The authors declare that they have no conflicts of interest.

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Received 25.12.2021 Accepted 12.02.2022 Published 20.04.2022

Thota Praveen Kumar1, Research Scholar,

Somaskandan Ganapathy1, Professor,

Mani Manikandan2, Professor,

1 Annamalai University,

Chidambaram, Tamil Nadu, 608002, India,

e-mail: thotap@rediffmail.com (Corresponding author),

ganapathy 1967@gmail.com

Jyothishmathi Institute of Technology and Science, Karimnagar, Telangana, 505481, India, e-mail: cm.manikandan@gmail.com

How to cite this article:

Praveen Kumar T.. Ganapathy S.. Manikandan M. Improvement of voltage stability for grid connected solar photovoltaic systems using static synchronous compensator with recurrent neural network. Electrical Engineering & Electromechanics. 2022. no. 2. pp. 69-77. doi: https://doi.org/10.20998/2074-272X.2022.2.10

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