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Energies
  • Article
  • Open Access

18 June 2023

A Novel Renewable Smart Grid Model to Sustain Solar Power Generation

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Department of Electrical Engineering, College of Engineering, Majmaah University, Al-Majmaah 11952, Saudi Arabia
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Author to whom correspondence should be addressed.
This article belongs to the Special Issue Recent Advances in Power Distribution Networks: Applications and Technologies for Local Energy Communities Integration

Abstract

The stability performance of smart grid power systems is critical and requires special attention. Additionally, the combination of Battery Energy Storage (BES) systems, Solar Photovoltaic (SPV), and wind systems in the intelligent grid model provides utilities with excellent efficiency and dependability. However, a coordination grid with PV and other resources frequently results in severe issues, such as outages or power disruptions. A power outage in the grid might result in a power loss in the delivery system. As a result, the distributed grid model’s dependable performance is intended for integrated wind energy, SPV arrays, and BE systems. This paper proposes a renewable intelligent grid model to sustain solar power generation. The model incorporates a boost converter to optimize the performance of solar panels by converting the DC power generated by the panels into AC power for use in the grid. The boost converter is optimized using a novel Horse Herd Optimization Algorithm (HOA) method. In this case, the HOA method is used to optimize the control parameters of the boost converter, such as the duty cycle and the inductor and capacitor values. According to the final results, the proposed method has reduced the Total Harmonic Deformation (THD) and power loss. Additionally, the proposed method outperformed existing strategies related to the Expected Energy Not Supplied (EENS), Loss of Load Probability (LOLP), and Loss of Load Expected (LOLE), indicating the sustainability of power generation.

1. Introduction

The economic and environmental anxieties related to the use of fossil energy, as well as the realization that market forces alone are unlikely to move the necessary transitions in energy, have prompted some governments to implement Renewable Energy Policies (REP) []. Recently, Renewable Energy Sources (RESs) have been widely developed, leading to an increase in process performance. Along with these improvements, power network users’ proclivity to employ renewable energy has grown, resulting in RES adoption in energy systems globally for economic-environmental reasons []. Renewable energy has attracted the interest of numerous scholars and practitioners []. According to the International Energy Agency (IEA), renewable energy capacity grows on a yearly basis, escorted by dropping costs and increased investment. For example, the electricity-generating ability of RESs had its highest yearly increase in 2017, with over 178 GW added globally, increasing the overall capacity by nearly 9% from 2016 []. One of the primary barriers to converting fossil fuels to sustainability is their variable and incalculable character, which hinders their linking to energy networks []. Wind and solar photovoltaic (PV) are predicted to account for a substantial proportion of built renewable energy capacity []. Because of their insecurity, renewable energy sources have become a recurring issue. Microgrids, however, are seen as a workaround for efficiently maintaining renewable energy output. They may even be able to minimize the delivery of pollutants and cut expenses with the use of power storage and optimization techniques []. Business models for renewable power will be pushed as viable businesses, giving a boost to electricity businesses and independent electricity producers, as well as turning the farming sector into rural energy companies []. The Photovoltaic Supply Chain (PVSC) includes all operations linked to the conversion of energy and material flows through raw resources to the recovery or waste of energy stations via manufacturers, solar system assemblers, marketers, and final users or clients [].
Furthermore, Renewable Energy Technologies (RETs) are viewed as more technically and economically dependent in the rural areas of developing nations. Furthermore, because of the dispersed and distinct population, off-grid electricity is seen as an economical choice for gaining ingress on power in developing nations []. To fulfill this demand for multidimensional insights, SESAME (Sustainable Energy System Analysis Modelling Environment), a flexible technology capable of combining system-level and pathway-level Life Cycle Assessment (LCA), has been created []. In addition to solving the technical hurdles of intermittent RET, such as wind or PV, the coupling of RETs with power storage might be appealing from a techno-economic standpoint []. Some researchers have focused on the structural capacities underlying the public adoption of renewable energy because the primary factors include economic incentives, efficient legislation, and support programs []. In comparison, several studies suggest that RE has little effect on power output or carbon release absorption []. Effective global governance is critical to accelerating the rising proportion of renewables, organizing knowledge exchange and technological investments, and giving international help to underdeveloped nations []. From this vantage point, renewable power financing is also critical, since it is likely to be sufficient in both developed and developing countries by improving market globalization via the potential role of Foreign Direct Investment (FDI) and domestic investment inflows while enhancing renewable power sources []. The deployment of renewable energy sources in smart grids has produced various advantages and disadvantages that, if handled appropriately, may benefit both generation and consumption []. When renewables are used as hybrids, optimum sizing studies can be performed based on variable loads.
As a consequence, numerous approaches have been presented by researchers, such as Adaptive Sparrow Search Optimization [], fuzzy Boolean logic and Analytical Hierarchy Process (AHP) [], and IoT-based Artificial Intelligence [], to improve the efficacy, stability, and price of entry. Grid-based solutions have recently been significantly developed to continuously boost the manufacture of renewable sources and contribute to the health of energy grid systems. In any case, several difficulties of the grid system include power imbalance, voltage and reserve management, system stability, start-up cost, and security. These constraints must be overcome in order to create an efficient system. To resolve these problems, no effective solutions have emerged. As a result, a new methodology is used in this research.
The novelty of the HOA in renewable energy systems stems from its ability to optimize complex systems with multiple parameters and constraints while adapting to changing conditions. By simulating the behavior of horses in a herd, HOA can explore a wide range of solutions and find optimal solutions that would be difficult to obtain with other optimization algorithms. A renewable smart grid model to sustain solar power generation is not new. The idea of generating electricity from renewable energy sources such as solar power has existed for many years. The use of the HOA algorithm to optimize the performance of such a system, on the other hand, is a relatively new approach. While renewable energy and smart grid systems are not new concepts, using HOA to optimize the performance of a renewable intelligent grid model for solar power generation is a novel approach that can potentially improve the system’s efficiency and effectiveness.
We evaluated the performance of our algorithm using simulation models and compared it to that of other commonly used algorithms. The results demonstrate that our proposed algorithm outperforms the existing algorithms in terms of energy efficiency and grid stability.
The innovation of this study lies in the development of a novel smart grid model that is specifically designed to sustain solar power generation, and ultimately support the integration of more renewable energy sources into the power grid. This paper presents case studies in the results section of the proposed smart grid model in real-world settings, which can provide valuable insights into its feasibility and potential benefits.

3. System Method along with Problem Description

The intelligent grid system includes measuring elements and a wireless-based technique for regulating the operation of electricity and improving the system stability through request control. The system described in this paper integrates wind power, a BES, an SPV, power converters, and non-linear loads. The grid-coupled combination of the RES system model is illustrated in Figure 1.
Figure 1. Grid-coupled combination RES system model.
The incorporation of RES into the grid system allows elasticity in operation and two-way energy run to the grid method. However, failure and dependability issues in the grid inclusion method are possible. The integration of wind and SPV inputs varies according to solar irradiation and wind speed. Therefore it is crucial to implement an appropriately enhanced power-equalizing control mechanism to effectively regulate the output of the inverter.

4. Proposed Methodology

The planned grid system incorporates an array of SPV, a wind power system, loads, a BES, energy converters, and grid power. The energy generated by the wind turbines and SPV is deposited in the BE storage system. The generated energy is greater than the required load energy. In smart grid functioning, the BES offers a quick response and lowers power use costs. Figure 2 shows the proposed method of research.
Figure 2. Proposed method.
To regulate the boost converter of the DC-to-DC converter, the proposed methodology uses the innovative HAO technique. It is used to solve problems involving continuous optimization.

4.1. Presented Boost Converter Control

The proposed HAO control method has been used to regulate the operation of the boost converter. This technique is based on the behavior of horses in their living place. The HOA control technology is integrated with a grid and an RES system to improve power network dependability. The control procedure is based on the error rate between the calculated and processed values. Variations in the solar radiation of the SPV and wind speed might have caused the mistake.

4.2. SPV System

Variations in illumination can directly impact the energy produced by the array of SPV. The energy from the SPV is increased by tilting the PV modules, and the illumination increases. Equation (1) [] calculates the energy produced by the SPV.
I s p v ( r ) = s r ( r ) A o ω s p v ( r )
where, Sr(r) represents ideally slanted sunlight rays, Ao is the SPV array total surface area, and ωspv(r) represents the SPV array hourly proficiency.

4.3. Battery Energy System

The cell loses little power during charging or discharging, which is regarded as the self-discharge value. The level of the battery’s charge is calculated as the self-discharge value, which is represented using Equation (2) [].
E B ( r + 1 ) = E B ( r ) ( 1 α )
where E B is denoted as the battery energy.

4.4. Wind Energy System

Wind power is calculated depending on the wind speed. Equation (3) [] expresses the relationship between wind power and speed.
I q ( r ) = { 0 G n   &   κ G H I i κ l G n G b l G n l    G n κ G b I i G b κ G H }
where, Gb is the speed rating, Gn represents the cut-in speed of a wind generator, and GH denotes the reduction in the pace.
As a result, the predicted rate of the target performance is determined by the updated error value. The number of particles should be initialized initially for the objective function, which is assumed to be n, and arbitrarily put in a group. Equation (4) [] represents the initialization.
B x , y = B l o w + t × ( B h i g h B l o w )
where, x = 1, 2, …; p and y = 1, 2, …; q, x, and y are groups of the number and a unique collection of scores inside a set; t is the random vector belonging to 0 and 1; Blow and Bhigh represent minimum and maximum duty cycle, respectively. The overall scores in the group are calculated using Equation (5) [].
d B = p × q
As a result, the starting values of the error in the p sets are determined by the aim achievement and randomly given in the first column of the duty cycle matrix, and it is considered the first function of all groups. Subsequently, the following column’s matrix of the duty cycle is arranged identically to the previous stage. This placement function is continued in q instants. The duty cycle matrices are expressed using Equation (6) [].
B = { B 1 , 1 B 1 , 2 B 1 , y B 1 , q B 2 , 1 B 2 , 2 B 2 , y B 2 , q             B x , 1 B x , 2 B x , y B x , q             B x , 1 B x , 2 B p , y B p , q   }
Each row of B represents each group of errors; consequently, the mistake of the first column of the duty cycle is the best of all. The duty cycle at the last point is regarded as the most difficult in the group. In an identical step size technique, the two vectors were used to evaluate the variations in each duty cycle in the set. The equal step size is calculated based on Equation (7) [].
S x , y = S x , y b a d + S x , y e x c e l l e n t
where, S x , y b a d denotes the ability to call a new duty cycle in the investigation region and S x , y e x c e l l e n t refers to the capability of calling a close old duty cycle in a possible investigation region. The identical step size of S x , y b a d and S x , y e x c e l l e n t is calculated using Equations (8) and (9) [].
S x , y b a d = λ × t 1 × ( B x , b B x , y )
S x , y e x c e l l e n t = ψ × t 2 × ( B x , e B x , y )
where, t1 and t2 denote the arbitrary vector that corresponds to 0 and 1, Bx,b and Bx,e are the group’s bad and excellent duty cycles in terms of goal results when compared to the total duty cycle value Bx,y. The duty cycle’s exploitative and exploring control is determined using Equations (10) and (11) [].
λ = λ 0 + ( λ h i g h λ 0 ) r
ψ = ( ψ 0 λ 0 ) r
where, r = v a l u e   o f   i t e r a t i o n h i g h e s t   v a l u e   o f   i t e r a t i o n .
The ψ rate reduces, and λ improves while improving the rate of iteration r . Consequently, the utilized value of the duty cycle is enhanced, while any undesired exploitation of the duty cycle is eliminated. Based on the calculated stage, the fresh duty cycle is assessed if the previous duty cycle range is not excellent. Using Equation (12) [], a new value is calculated.
B f r e s h ( x , y ) = B x , y + S x , y
After obtaining an excellent duty cycle, the excellent pulse is delivered to the boost converter, and the operation is halted until the next iteration begins.

4.5. Objectives

The system’s dependability is validated using the LOLE, LOLP, and EENS. According to the LOLE, the whole time taken for the integrated RES is insufficient to provide electricity to the critical load over a year, and the hours in one year are taken as 8760 h. The LOLE consistency index is computed using Equation (13) []
LOLE = l = 1 8760 I o u t ( l )
where, I o u t denotes the output current during the hours in which the integrated RES delivers electricity to the load. Furthermore, if loads are not executed, the result is measured as one; otherwise, the result is measured as zero. As a result, the LOLP is calculated by dividing the range of LOLE by the total number of hours worked in one year. Thus, Equation (14) [] expresses the relationship between LOLP and LOLE.
LOLP = l = 1 8760 I o u t ( l ) 8760
Therefore,
LOLP = LOLE   r a t e 8760
The EENS dependable rate is calculated, which states the amount of energy that is not given by the integrated RES during the course of the year, and it is expressed by Equation (15) [].
EENS = l = 1 8760 I l o a d ( l ) I i , h i g h ( l ) I l o a d ( l ) > I i , h i g h ( l )
where, I l o a d is the power of the load, and I i , h i g h is the highest power created in hours.
Figure 3 shows the flow chart of the proposed HOA boost converter. The boost converter improves the step-up voltage to provide a DC bus. The HOA technique is initialized to the boost converter, and if processed, the arbitrarily used duty cycle matrix is evaluated using Equation (6). In addition, it generates the boost converter, calculates the error rate, and calculates the step size using Equation (7). If the computed value is maximum, a fresh duty cycle is assessed if the previous duty cycle range is not excellent. If the value is perfect, it controls the pulse of the boost converter switch. Finally, a significant result is obtained. Additionally, it solves the problems of the system’s effectiveness.
Figure 3. Flow chart for the proposed HAO boost converter.

5. Results and Discussion

The proposed method is implemented on MATLAB R2018b restricted and a mathematical platform using an Intel (R) Core (TM) i5 CPU and 4 GB RAM. The specifications of the system technique are listed in Table 2 [].
Table 2. Specifications of the system technique.

5.1. Case Study

The SPV performance is classified depending on the effects of the various irradiance phases. Figure 4 depicts the output curve of an array of SPV-based current versus voltage curves. The measurements are taken at various temperatures of the sunlight and each separate cell of the PV array.
Figure 4. An array of SPV under voltage with respect to a current curve.
As a result, the array of SPV energies with regard to the voltage factor at many solar temperatures is estimated for each cell. Figure 5 shows the energy behaviors related to the voltage. The observations show that each SPV cell achieved a current, voltage, and power rate of roughly 0.6 kW/m2, 0.73 kW/m2, and 1.2 kW/m2 under varying levels of solar irradiation.
Figure 5. An array of SPV under voltage with respect to a power curve.
Figure 6 shows the array of SPV with a DC link voltage applied via the boost converter. It is the result of the inverter’s input value and the boost converter. In addition, the energy inverter’s input voltage is given as 250 V. Additionally, the electricity generated by the SPV is fed into the grid system. Figure 7 shows the power of the grid voltage and current. The estimated grid current and voltage are used to validate the output power.
Figure 6. SPV array with a DC link voltage applied to the boost converter.
Figure 7. Output power given to the power grid.
The power of a solar PV system over a year is calculated using hourly temperature and sun irradiation. Figure 8 demonstrates the solar irradiance as a function of time. In addition, the voltage of wind from the model is shown in Figure 9. The wind voltage ranges from 400 V to −400 V. However, the wind voltage ranges from −400 V to 400 V in a time span of 0 to 0.1 s.
Figure 8. The solar irradiance as a function of time.
Figure 9. Wind voltage of the model.
The grid-coupled inverter function is complex under grid current and voltage with low variation. Figure 10 shows the voltage process of the grid model. The obtained grid voltage denotes that there are no oscillations in the grid voltage and that the grid voltage waveform is sinusoidal.
Figure 10. Voltage process of the grid model.
Figure 11 shows the current grid function. According to Figure 11, a small fluctuation occurs when the proposed method is applied to the current waveform in the sinusoidal condition.
Figure 11. The current process of the grid model.
Load variation can produce oscillations in the grid systems. Using the HOA model in a grid model reduces the voltage and current deformations in the grid model. As a result, the grid voltage in the form of sinusoidal and recent deforms at the start. Furthermore, the grid model’s THD is about 0.8%, and the method’s Energy Loss (EL) is about 0.05 MW. The THD of the grid current is shown in Figure 12.
Figure 12. Grid current of THD.
Table 3 shows the reliable performance of the proposed method before and after optimization. It verifies the consistent performance improvement achieved by using the suggested HAO approach. In Table 4, the trustworthy parameters under varied loads, such as 50% and 100% loads, are given. The suggested HAO model enhances the system’s sustainability and reliability functions for LOLP, LOLE, and EENS.
Table 3. Reliability indices using the proposed model.
Table 4. Reliability function under different load conditions.

5.2. Performance Estimation

The increased reliability function using the provided HAO methodology is compared to other techniques for LOLP, LOLE, and EENS and is reported in Table 5. EENS, LOLE, and LOLP have been confirmed for 70 MW wind and 70 MW solar with Hobbled Shepherd Optimization (HSO) for Multi-Objective Based Golden Eagle (MOGE) []; 80 MW wind and 80 MW SPV with Alternative Model Creating Technique (AMCT), Two Parameters Based Alpha Model Technique (TPBAMT) and the proposed Fuzzy Fault Tree Based Technique (HDFFTBT) []; 25 MW wind and 25 MW SPV with Roy Billinton Test System (RBTS) []; and 1.5 MW SPV + 1.5 MW wind with Harmony Search (HS) []. The proposed HOA approach outperforms other existing techniques in terms of characteristics (LOLP, LOLE, and EENS). The objective function is constructed during sizing studies, and mathematical calculations are performed to obtain the lowest value of this function []. The Internet of Things (IoT) is an integrated system of advanced technologies and solutions that connects devices, people, platforms, software, and solutions via the Internet []. Existing grids face challenges, such as security and privacy, reliability, diverse renewable energy sources, and rising energy consumption. A smart grid is the best solution to these problems [].
Table 5. Comparison of methods.
The total findings demonstrate that the present HAO technique for the grid system has boosted the sustainability and dependability of the power-generating system.

5.2.1. LOLE

A comparison between the proposed HAO and the existing techniques in terms of LOLE is shown in Figure 13. The LOLE of our proposed horse herd optimization is 0.23 (MWh/year). At the same time, compared to other existing methods, the LOLE of the proposed HOA has a lower value. The existing method of HSO with MOGE is 0.314 (MWh/year) with 0.354 (MWh/year). The value it represents is greater than that of the proposed HOA method. Compared to the other existing techniques, AMCT and TBBAMT with HDFFTBT are 0.83 (MWh/year) and 0.89 (MWh/year) with 1.29 (MWh/year), which is high. When Comparing the values of HS and RBTS, our proposed method demonstrates a lower level of LOLE. Specifically, the LOLE of the proposed method is 0.23 (MWh/year), which is significantly lower than that of the HOA and other existing techniques.
Figure 13. Comparison of the existing and proposed techniques in terms of LOLE.

5.2.2. LOLP

A comparison between the proposed HAO and existing techniques in terms of LOLP is shown in Figure 14. The LOLP method of the proposed HOA has a lower value. The existing method of HSO with MOGE is 75.25% with 76.85%. It is a higher value than that of the proposed HOA method. Compared to other existing techniques, AMCT and TBBAMT with HDFFTBT are 70.38% and 72.18% with 68.43%, which is high. Comparing the HS and RBTS values, our proposed method shows a lower value of LOLP. The LOLP of HOA is 43%, which is low compared to other existing techniques.
Figure 14. Comparison of the existing and proposed techniques in terms of LOLP.

5.2.3. EENS

A comparison between the proposed HAO and the existing techniques in terms of EENS is shown in Figure 15. The EENS method of the proposed HAO has a lower value. The existing method of HSO with MOGE is 3 (103 MW) with 2.8 (103 MW). It is a higher value than that of the proposed HAO method. Compared to other existing techniques, AMCT and TBBAMT with HDFFTBT are 2.5 (103 MW) and 2.76 (103 MW) with 1.2 (103 MW), which is high. Comparing HS and RBTS values, our proposed method shows a lower value of EENS. The EENS of HOA is 0.2 (103 MW), which is a low value compared to other existing techniques.
Figure 15. Comparison of the existing and proposed techniques in terms of EENS.

6. Conclusions

A hybrid RES with a grid system is an important choice for an advanced power system. The use of fossil fuels is increasing due to the fast expansion of industry, vehicles, and population growth. They are harmful to both humans and the environment. However, fossil fuels play an important role in electricity generation. As a result, RES is a preferable alternative to fossil fuels since it is sustainable and renewable. Wind and solar PV are the most often used sources since they provide adequate power to the loads. Furthermore, the BE system is linked to the distributed grid systems in remote areas. The HOA method is a novel approach that has been shown to improve the function of boost converters in smart grid systems. By optimizing the converter parameters, the algorithm can improve the system’s efficiency and ensure that the power generated by the solar panels is fully utilized. The proposed method reduced THD and EL by 0.8% and 0.05 MW, respectively. Comparing parameters such as EENS, LOLP, and LOLE with other current models proves the system’s dependability, which can be improved by 68%, 35.82%, and 36.36 to an existing model. The parameters of the proposed model are robust and dependable. Machine learning or deep learning methods will be developed in future work to increase the system model’s sustainability and reliability.

Author Contributions

Conceptualization, methodology, software, validation, formal analysis, investigation, resources, data curation, writing—original draft preparation by M.A.B., writing—review and editing by M.A.B., visualization, supervision, project administration, funding acquisition done by I.A. All authors have read and agreed to the published version of the manuscript.

Funding

This research was supported by the Deanship of Scientific Research, Majmaah University, Al-Majmaah-11952, Kingdom of Saudi Arabia, under the project number: R-2023-355.

Data Availability Statement

The data analyzed in this study is in the paper.

Conflicts of Interest

The authors declare no conflict of interest.

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