# Research on Modeling the Optimization of Power Load Combination for Power Sales Company

Authors: Jiaxun Liu; Kaixin Li; Xingan Yao; Jinghui Wu; Jie Zhang
Journal: Mobile Information Systems
 (2022)

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## Abstract

The power sales company is an important component of the power trading market. It can be used not only as the primary body for purchasing power from market transactions but also as the primary body for transferring power to the market and consumers, altering the distribution network’s power flow distribution and having a significant impact on the distribution network’s power supply capacity. The fundamental goal of the power sales company is to maximize the benefits by adjusting the power load distribution in response to changes in the power consumption of users. Based on the consideration of users’ flexible power consumption, this paper studied the load combination optimization modeling method of the power sales company. The building users are taken as the research object and the flexible power consumption type is determined based on various power values. The demand response data is extracted by load characteristic index and power consumption index, and the flexible power consumption law is predicted by a standardized matrix. Furthermore, using Hansen threshold theory, the load rate is computed and the grading is changed, and three groups of load combination schemes are obtained from the simulation test. Results show that the load combination of user 03, user 05, and user 07 is optimized in scheme C and the power sales profit of the power sales company is 26.31% and 22% higher than those of scheme A and scheme B, respectively. The proposed method can reduce the power purchase cost and increase the revenue of the power company by increasing the revenue from power sales.


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## Body

## 1. Introduction

The electric power system is a collection of electrical components used to generate, distribute, and consume electricity. An electrical grid power system consists of the generators that generate electricity, as well as the transmission and distribution networks that move the electricity from the producing centers to the load centers. The power system is crucial to a country’s long-term growth, since it is the critical infrastructure of the energy industry in a civilization. Maintaining societal stability in a country or region requires a reliable and secure electrical infrastructure [1]. The power grid, wholesale market power consumers, and companies with their power plants are all classified as market subjects with consumption responsibility, and the power grid companies are responsible for putting the responsibility load into action. Consumption loads, primary energy source, and electrical power technology all have an impact on the power company, which is a key subsystem for the whole energy system. In general, power system optimization challenges are primarily concerned with power system design, operation, and control [2]. Currently, there is much research on further deepening the power reform. According to the daily work requirements of the urban power grid, scholars have divided the power reform into four parts based on the daily work requirements of the urban power grid: the continuity of power grid to urban service, the continuity of power grid purchase and sales business, the continuity of power consumption plan, and the continuity of power allocation [3, 4].It is found that although these companies have different investors and different operation rights, they all have a common feature; that is, they need to optimize the load combination. Presently, distributed energy and adjustable load exist in different task nodes in the distribution network. When the user demand changes, the load can be allocated through the corresponding task nodes [5]. However, if the allocation scheme is unreasonable, it may increase the sales cost of power selling companies and affect the overall income. To solve this problem, Dou et al. [6] selected the open environment of the power market as the research premise and the dispatching security as the basic principle and efficiently integrated a variety of resources to schedule the nodes in the distribution network, to improve the revenue of power sales. This method takes the visual virtual environment as the research background and realizes the task schedule by modifying the node connection of the power system. Although the power sales company’s revenue has increased, the data is unreliable; that is, the revenue data has altered after all expenditures have been deducted.Jing et al. [7] used the consumer demand as the research premise, calculated the maximum rate of return of the power selling company through the objective function, and verified it through the solution results of the market trend game decision model, to ensure the authenticity of the revenue data of the power selling company. However, this research fails to improve the revenue of the power selling company to a certain extent. Mu et al. [8] compared the trading revenue of power selling businesses in the electricity market, green certificate market, and transferable load market. They investigated the operational strategy of power selling companies to produce the most profit and to use it as a reference for multimarket trading decision-making by electricity selling companies. The authors in [9] proposed a multiobjective distribution network configuration model for distributed power generation and load uncertainty. The model could optimize several vital goals of the distribution network and efficiently decrease the power loss of the distribution network. A power-saving modification investment planning model, constrained by the expenditure and grading criteria, was established in [10] by integrating a microscopic study and the macro statistics of the distribution network. Sarica et al. [11] used an integrated optimization method to develop an hourly day-ahead power market model. A multiagent simulation technique was employed to depict the interaction between diverse market players (e.g., system operators, power transmitters, and power producers). The integrated optimization model regulates the flow of electricity and deploys the generators.Ringler et al. [12] examined the impact of several components of electricity market architecture on welfare and generation adequacy in Europe. As a result, PowerACE was used, which is a bottom-up agent-based model for wholesale power markets. PowerACE models significant market players as software entities and implements market clearing as a linear maximizing program. With the introduction of new energy technologies, it is important to consider the impact of energy generation and distribution on power grids. The conventional mode of power system planning based on the single-objective programming method is not effective in the new environment. This paper studies the load combination optimization modeling method of the power selling company. The load characteristic index and power consumption index are used to extract demand response data, and a standardized matrix is used to estimate the flexible power consumption rule. Furthermore, using Hansen’s threshold theory, the load rate is computed and the grading is changed, and three groups of load combination schemes are generated from the simulation test. The method is effective in reducing the power purchase cost and increasing the revenue of the power companies.The rest of the manuscript is organized as follows. Section2 provides an overview of the load optimization modeling method of the power sales company. Section 3 illustrates the simulation process and analyzes different results. Finally, the conclusion is presented in Section 4.


## 2. Load Combination Optimization Modeling Method of Power Sales Company

### 2.1. Classification of Flexible Power Consumption Types

Flexible power consumption is a power consumption phenomenon that is transferred or reduced according to the change of users’ power consumption behavior. Buildings play an essential role in the functioning of power systems and power demand response because they are the object of carrying various flexible power consumption. As a result, the flexible power consumption of buildings is divided into lighting equipment and refrigeration equipment, with buildings serving as the bearer of demand response consumers. As one of the important controllable power resources, lighting power is an important component of flexible power consumption. Coupled with the pressure brought by heat dissipation to refrigeration equipment, this power consumption has a direct impact on the combined optimal load of power sales companies [5]. At present, the common lighting equipment in buildings includes incandescent lamps, energy-saving lamps, and fluorescent lamps. Among them, incandescent lamps are most widely used, and their load can be obtained by the following formula:(1)P1=P1′UU′m1,P2=P2′UU′m2.In the above formula,P1 and P′ represent active power and rated active power, P2 and P′ represent normal voltage and rated voltage, and m1 and m2 represent the astigmatism index of lighting. There are many types of lighting equipment except incandescent lamps. To facilitate calculation, this lighting equipment is classified into the same type, and its power data are obtained through the following formula:(2)P1=P1′a1+b1UU′,P2=P2′a2+b2UU′.In the above formula,a and b represent the astigmatism index related to the type of lighting equipment [6]. The lighting power consumption can be described by the above two groups of formulas. When the above power consumption is high and the building’s internal temperature rises, the refrigeration equipment’s power consumption grows, and its power consumption is described by the following formula:(3)P0=Pc1+Pc2+Pc3+Pc4.In the above formula,P0 represents the power of refrigeration equipment; Pc1, Pc2, Pc3, and Pc4, respectively, represent the operating power of the forced draft fan, refrigerator, cooling tower, and cold water pump. According to the power sales company’s statistical data over the years, the cooling tower and cold water pump power account for a relatively tiny amount of total power; thus these two parameters are treated as known constants. Therefore, finally, the power consumption rate of the refrigeration equipment when controlling the room temperature and reducing the indoor temperature is described by the following formula:(4)P0′=P01.05×C1−C2⋅αΔP1000e×ρ.In the above formula,P0′ represents refrigeration power; C1 and C2 represent the actual indoor temperature and temperature control target; α represents the fan flow ratio; ΔP represents the operating pressure of the fan; ρ represents air density [7]. Through the content analysis of the above two aspects, the type division of user flexible power consumption is realized.


### 2.2. Extract Demand Response Data and Predict Flexible Power Consumption Law

Assuming that the comprehensive load characteristic ofn users in the random user floor of a building is Rn and the average daily total power consumption is Qn, according to the above flexible power consumption type division results, the following is obtained:(5)Rn=Pn1+ΔPn1,Pn2+ΔPn2+…+Pnm+ΔPnm,Qn=∑n=1tPnm+ΔPnmΔt.In the above formula,Pn1,Pn2,…,Pnm represents the power sampling result of flexible electric load; ΔPn1,ΔPn2,…ΔPnm represents demand response load; Δt represents the sampling period of user power consumption [8]. The user demand response data is extracted using the above technique, and the partial least square approach is utilized to forecast the user’s flexible power consumption rule. To effectively forecast the change law of customers’ wants, the partial least square method can be utilized for principal component analysis and linear regression analysis of multicollinearity problems. To begin, the approach assumes that the matrices formed of independent variables and dependent variables are X and Y and that the user’s comprehensive demand response data is the premise and uses the following algorithm to standardize the matrix to obtain the processed standardized matrices U and V.(6)xij′=xij−x¯σx,yij′=yij−y¯σy.In the above formula,x¯ and y¯ represent the average values of matrix parameters of independent variables and dependent variables; σx and σy represent the corresponding standard deviation. The standardized matrices U and V obtained after processing according to the above algorithm are(7)U=xij′m×n,V=yij′m×n.The principal components of the above two groups of matrices are extracted. The process is as follows:(8)r1=ω1U,r2=ω2V.In the above formula,r1 and r2 represent the extraction results; ω1 and ω2 represent the eigenvectors of matrices U and V. After the above processing, the cross-validity test is carried out. The test equation is(9)F=1−∑i=1,j=1nxij−r1yij−r22∑i=1,j=1nyij−r22.The above results are the results of the cross-validity test. WhenF>0.0988, it is considered that the principal component extraction result is reliable. Repeat the extraction according to the above process, and perform regression analysis on all extraction results r11,r12,…,r1m and r21,r22,…,r2n to obtain the following equation:(10)y=α1x1+α2x2+…+αsxs.In the above formula,α1,α2,…,αs represents the regression analysis coefficient. According to the above process, the future flexible power load of users is predicted to provide prediction data for load combination optimization [9, 10].


### 2.3. Calculate the Load Rate and Its Classification

Users of each voltage level can be separated into 2–5 categories based on the load rate, based on the load combination optimization expertise of the power selling firm, and adhering to the basic principles of justice and ease of operation. Combined with the prediction results of flexible power consumption law, the formula for calculating this value can be improved as follows:(11)s=QR24lny¯ymax.Grading is carried out according to the calculation results of the above formula. The specific load rate grading process is shown in Figure1 [11].Figure 1
Flow chart of load rate grading.According to the above process, the classification process first uses the actual power consumption data of all users in the building as the division premise and then uses the comprehensive demand response data extraction and flexible power consumption law prediction in the previous section to draw the user power load curve in the future fixed cycle and then eliminates the redundant and bad data. According to the fluctuation of the power load curve, the distribution characteristics of user load rate are statistically analyzed. Set the interval number to 0.1, divide the load rate into 20 gears according to this value, set the electricity price of each gear, summarize the 20 electricity prices into a dataset for density clustering, merge the data with a similar electricity value, and then update the dataset. Thirdly, calculate the user proportion of each gear price, modify the settings, and finally merge the grades to realize the division of the number and level of load rate grades. The above grading is completed by using the relevant theory of Hansen’s threshold. Assuming that the parameter estimated by a single threshold isμ, the parameter is obtained by searching through the following formula:(12)μ=Wμ1,μ2,μ1<μ2,Wμ1,μ2,μ1≥μ2.In the above formula,μ1 and μ2 represent the fixed threshold value and change value; Wμ1,μ2 represents the search function. When the threshold becomes a double threshold, fix the calculation result of μ and search the parameter η. According to the above two groups of parameters, the double analysis function of Hansen threshold describes the fluctuation of load rate, and the formula is(13)H=φq+γ1f1H0<λ≤μ+γ2f2Hμ<λ≤η+γ3f3Hη<λ≤1+θ.In the above formula,φ represents the vector of the control variable; q represents control variable; γ1, γ2, and γ3 represent vectors of different threshold explanatory variables; f1, f2, and f3 represent explanatory variables of different thresholds; H∗ represents index function; λ represents threshold variable; θ represents random interference term. Load rate grading is realized through the above process [12, 13].


### 2.4. Establish Load Combination Optimization Model

The user’s power consumption type after the graded load rate is clearer. At this time, under the influence of season and environment, if the user’s power consumption load changes suddenly, it is necessary to recalculate the power consumption load rate. The formula is(14)s′=sTP∗.In the above formula,s′ represents the user power load rate after model adjustment; T indicates the occurrence period; P∗ represents the peak value of load rate after regulation [14]. When the load rate grading data are combined, it is discovered that the load grading of users has changed, implying that the load combination optimization model should be built using the power transfer of users. Set the indication function to reflect the decision variable gKki, which is used to describe the users who perform power transfer in each cycle, where it represents the user data group performing power transfer; then there is(15)gKki=1,ki∈K,0,ki∉K.When the user transfers electricity, the result is 1; otherwise, it is 0. The total cost of the power selling company is divided into power purchase cost and generation cost, which are expressed asZ1 and Z2, respectively. After judging by formula (15), the cost control is carried out on the premise of the result of formula (14). The control is realized by the following algorithm:(16)Z1=fs′⋅∑t=1T∑i=1NwitΔt,Z2=hitκi⋅∑i=1NgKki.In the above formula,fs′ is the power purchase cost of the power selling company after adjusting the transferable load; T represents the number of cycles; N indicates the number of power purchases; wit represents the predicted power consumption of the i user in the t cycle; hit represents the load of the gth user during power transfer in the t cycle; κi represents the adjusted price of the power load transferred by the i user [15]. Based on the above calculation, a load combination optimization model is established, which is reflected by the objective function, and the formula is(17)Z=Z1+Z2,Z≤Gmax.In the above formula,Z represents the total power consumption cost; Gmax represents the maximum load limit that the seller can bear [16, 17]. Through the above calculation process, the load combination optimization modeling of the power sales company is realized, and the power load is adjusted according to the load rate grading level based on predicting the change of user demand [18, 19].


## 2.1. Classification of Flexible Power Consumption Types

Flexible power consumption is a power consumption phenomenon that is transferred or reduced according to the change of users’ power consumption behavior. Buildings play an essential role in the functioning of power systems and power demand response because they are the object of carrying various flexible power consumption. As a result, the flexible power consumption of buildings is divided into lighting equipment and refrigeration equipment, with buildings serving as the bearer of demand response consumers. As one of the important controllable power resources, lighting power is an important component of flexible power consumption. Coupled with the pressure brought by heat dissipation to refrigeration equipment, this power consumption has a direct impact on the combined optimal load of power sales companies [5]. At present, the common lighting equipment in buildings includes incandescent lamps, energy-saving lamps, and fluorescent lamps. Among them, incandescent lamps are most widely used, and their load can be obtained by the following formula:(1)P1=P1′UU′m1,P2=P2′UU′m2.In the above formula,P1 and P′ represent active power and rated active power, P2 and P′ represent normal voltage and rated voltage, and m1 and m2 represent the astigmatism index of lighting. There are many types of lighting equipment except incandescent lamps. To facilitate calculation, this lighting equipment is classified into the same type, and its power data are obtained through the following formula:(2)P1=P1′a1+b1UU′,P2=P2′a2+b2UU′.In the above formula,a and b represent the astigmatism index related to the type of lighting equipment [6]. The lighting power consumption can be described by the above two groups of formulas. When the above power consumption is high and the building’s internal temperature rises, the refrigeration equipment’s power consumption grows, and its power consumption is described by the following formula:(3)P0=Pc1+Pc2+Pc3+Pc4.In the above formula,P0 represents the power of refrigeration equipment; Pc1, Pc2, Pc3, and Pc4, respectively, represent the operating power of the forced draft fan, refrigerator, cooling tower, and cold water pump. According to the power sales company’s statistical data over the years, the cooling tower and cold water pump power account for a relatively tiny amount of total power; thus these two parameters are treated as known constants. Therefore, finally, the power consumption rate of the refrigeration equipment when controlling the room temperature and reducing the indoor temperature is described by the following formula:(4)P0′=P01.05×C1−C2⋅αΔP1000e×ρ.In the above formula,P0′ represents refrigeration power; C1 and C2 represent the actual indoor temperature and temperature control target; α represents the fan flow ratio; ΔP represents the operating pressure of the fan; ρ represents air density [7]. Through the content analysis of the above two aspects, the type division of user flexible power consumption is realized.


## 2.2. Extract Demand Response Data and Predict Flexible Power Consumption Law

Assuming that the comprehensive load characteristic ofn users in the random user floor of a building is Rn and the average daily total power consumption is Qn, according to the above flexible power consumption type division results, the following is obtained:(5)Rn=Pn1+ΔPn1,Pn2+ΔPn2+…+Pnm+ΔPnm,Qn=∑n=1tPnm+ΔPnmΔt.In the above formula,Pn1,Pn2,…,Pnm represents the power sampling result of flexible electric load; ΔPn1,ΔPn2,…ΔPnm represents demand response load; Δt represents the sampling period of user power consumption [8]. The user demand response data is extracted using the above technique, and the partial least square approach is utilized to forecast the user’s flexible power consumption rule. To effectively forecast the change law of customers’ wants, the partial least square method can be utilized for principal component analysis and linear regression analysis of multicollinearity problems. To begin, the approach assumes that the matrices formed of independent variables and dependent variables are X and Y and that the user’s comprehensive demand response data is the premise and uses the following algorithm to standardize the matrix to obtain the processed standardized matrices U and V.(6)xij′=xij−x¯σx,yij′=yij−y¯σy.In the above formula,x¯ and y¯ represent the average values of matrix parameters of independent variables and dependent variables; σx and σy represent the corresponding standard deviation. The standardized matrices U and V obtained after processing according to the above algorithm are(7)U=xij′m×n,V=yij′m×n.The principal components of the above two groups of matrices are extracted. The process is as follows:(8)r1=ω1U,r2=ω2V.In the above formula,r1 and r2 represent the extraction results; ω1 and ω2 represent the eigenvectors of matrices U and V. After the above processing, the cross-validity test is carried out. The test equation is(9)F=1−∑i=1,j=1nxij−r1yij−r22∑i=1,j=1nyij−r22.The above results are the results of the cross-validity test. WhenF>0.0988, it is considered that the principal component extraction result is reliable. Repeat the extraction according to the above process, and perform regression analysis on all extraction results r11,r12,…,r1m and r21,r22,…,r2n to obtain the following equation:(10)y=α1x1+α2x2+…+αsxs.In the above formula,α1,α2,…,αs represents the regression analysis coefficient. According to the above process, the future flexible power load of users is predicted to provide prediction data for load combination optimization [9, 10].


## 2.3. Calculate the Load Rate and Its Classification

Users of each voltage level can be separated into 2–5 categories based on the load rate, based on the load combination optimization expertise of the power selling firm, and adhering to the basic principles of justice and ease of operation. Combined with the prediction results of flexible power consumption law, the formula for calculating this value can be improved as follows:(11)s=QR24lny¯ymax.Grading is carried out according to the calculation results of the above formula. The specific load rate grading process is shown in Figure1 [11].Figure 1
Flow chart of load rate grading.According to the above process, the classification process first uses the actual power consumption data of all users in the building as the division premise and then uses the comprehensive demand response data extraction and flexible power consumption law prediction in the previous section to draw the user power load curve in the future fixed cycle and then eliminates the redundant and bad data. According to the fluctuation of the power load curve, the distribution characteristics of user load rate are statistically analyzed. Set the interval number to 0.1, divide the load rate into 20 gears according to this value, set the electricity price of each gear, summarize the 20 electricity prices into a dataset for density clustering, merge the data with a similar electricity value, and then update the dataset. Thirdly, calculate the user proportion of each gear price, modify the settings, and finally merge the grades to realize the division of the number and level of load rate grades. The above grading is completed by using the relevant theory of Hansen’s threshold. Assuming that the parameter estimated by a single threshold isμ, the parameter is obtained by searching through the following formula:(12)μ=Wμ1,μ2,μ1<μ2,Wμ1,μ2,μ1≥μ2.In the above formula,μ1 and μ2 represent the fixed threshold value and change value; Wμ1,μ2 represents the search function. When the threshold becomes a double threshold, fix the calculation result of μ and search the parameter η. According to the above two groups of parameters, the double analysis function of Hansen threshold describes the fluctuation of load rate, and the formula is(13)H=φq+γ1f1H0<λ≤μ+γ2f2Hμ<λ≤η+γ3f3Hη<λ≤1+θ.In the above formula,φ represents the vector of the control variable; q represents control variable; γ1, γ2, and γ3 represent vectors of different threshold explanatory variables; f1, f2, and f3 represent explanatory variables of different thresholds; H∗ represents index function; λ represents threshold variable; θ represents random interference term. Load rate grading is realized through the above process [12, 13].


## 2.4. Establish Load Combination Optimization Model

The user’s power consumption type after the graded load rate is clearer. At this time, under the influence of season and environment, if the user’s power consumption load changes suddenly, it is necessary to recalculate the power consumption load rate. The formula is(14)s′=sTP∗.In the above formula,s′ represents the user power load rate after model adjustment; T indicates the occurrence period; P∗ represents the peak value of load rate after regulation [14]. When the load rate grading data are combined, it is discovered that the load grading of users has changed, implying that the load combination optimization model should be built using the power transfer of users. Set the indication function to reflect the decision variable gKki, which is used to describe the users who perform power transfer in each cycle, where it represents the user data group performing power transfer; then there is(15)gKki=1,ki∈K,0,ki∉K.When the user transfers electricity, the result is 1; otherwise, it is 0. The total cost of the power selling company is divided into power purchase cost and generation cost, which are expressed asZ1 and Z2, respectively. After judging by formula (15), the cost control is carried out on the premise of the result of formula (14). The control is realized by the following algorithm:(16)Z1=fs′⋅∑t=1T∑i=1NwitΔt,Z2=hitκi⋅∑i=1NgKki.In the above formula,fs′ is the power purchase cost of the power selling company after adjusting the transferable load; T represents the number of cycles; N indicates the number of power purchases; wit represents the predicted power consumption of the i user in the t cycle; hit represents the load of the gth user during power transfer in the t cycle; κi represents the adjusted price of the power load transferred by the i user [15]. Based on the above calculation, a load combination optimization model is established, which is reflected by the objective function, and the formula is(17)Z=Z1+Z2,Z≤Gmax.In the above formula,Z represents the total power consumption cost; Gmax represents the maximum load limit that the seller can bear [16, 17]. Through the above calculation process, the load combination optimization modeling of the power sales company is realized, and the power load is adjusted according to the load rate grading level based on predicting the change of user demand [18, 19].


## 3. Simulation Test

In this section, we will discuss data preparation, combination scheme, and determination of optimal combination in detail.


### 3.1. Data Preparation

Build the experimental test environment: the operating system is Windows 10, with 3.60 GHz processor, i7 CPU, and 2 TB storage. The distribution system of a power distribution company is simulated and analyzed based on the general algebraic modeling system (GAMS) and mathematical software (MATLAB). Figure2 is the experimental test object based on the original distribution network structure simulation of the system.Figure 2
System structure simulation diagram.Connect node 1 to the main network structure, translatable load (TL) with a maximum capacity of 2535 kW at nodes 4, 5, and 6, controllable distributed power generation (DG) with a maximum output of 225 kW at nodes 9 and 10, and energy storage (ESS) with a maximum capacity of 100 kW/h and charging and discharging efficiency of 95% at node 16. The distributed PV with an installed capacity of 150 kW is connected at node 18, the controllable DG with a maximum output of 150 kW is connected at node 19 and node 20, the interruptible load (IL) with a capacity of 180 kW is connected at node 24, the distributed PV with an installed capacity of 180 kW is connected at node 27 and node 28, respectively, and, finally, the distributed PV with a maximum capacity of 80 kW is connected at node 37 and node 42, with energy storage with charging and discharging efficiency of 90%. The goal of this experimental study is to use the modeling method described in this work to solve the demand response and maximize the profits of power sales companies. Due to seasonal changes in power consumption, this simulation test uses summer as the study backdrop, picks the power consumption data of 8 industrial users in the city for testing, and performs combined optimization of these customers’ power loads. It is assumed that the unit prices of electricity sales in peak hours, trough hours, and normal hours are 1.2714 yuan/(kW/h), 0.4142 yuan/(kW/h), and 0.7424 yuan/(kW/h), respectively. By default, the maximum load that the power sales company can bear is 700 kW, and the comprehensive load rate is required to exceed 0.85 and the total revenue from power sales exceeds 3500 yuan.


### 3.2. Combination Scheme

After the flexible power consumption kinds of the selected 8 users are segregated, the power consumption law is extracted based on the complete demand response of users, and the three load combination findings presented in Table1 are generated, according to the modeling approach of this study.Table 1
User load combination scheme.
User numberPlan APlan BPlan C01Not selectedNot selectedNot selected02SelectNot selectedNot selected03SelectNot selectedSelect04Not selectedSelectNot selected05SelectNot selectedSelect06Not selectedSelectNot selected07Not selectedSelectSelect08Not selectedNot selectedNot selectedFor the above three groups of alternatives, the load rate is calculated and processed in grades. Finally, all user data are updated through the adjustment of the Hansen threshold, and the demand response load to be mobilized after the user demand changes in a day is finally determined [20, 21]. The results are shown in Figure 3.Figure 3
Demand response load when user demand changes. (a) Plan A. (b) Plan B. (c) Plan C.
(a)(b)(c)There is no need to adjust the load because the value of 0 in the figure indicates that demand does not change at a specific period. A negative value indicates that the user must reduce the load in comparison to the initial load; a positive value suggests that the user must raise the load in comparison to the original load. Collect and sort the data of the three groups of load combination optimization schemes according to the data in Figure3, and compare the differences between the three groups of schemes using the model’s total cost analysis results.


### 3.3. Determination of Optimal Combination

Based on the above simulation test results, the power load of the structure in Figure2 is adjusted. After completion, statistical analysis is carried out on the total amount of demand response load, comprehensive load rate, and the interests of power selling companies under the three groups of schemes, and different optimization results of the three groups of schemes are compared, as shown in Table 2 [22, 23].Table 2
Data comparison results of different combination schemes.
DataPlan APlan BPlan CTotal electricity/(MW∗h)22.38511.92413.608Comprehensive load rate0.66370.85430.9442Profit from power sales/yuan3076.13184.53885.3According to the aforementioned statistical results, scheme A has the highest overall power consumption (1.88 times and 1.64 times those of scheme B and scheme C, respectively) but the lowest comprehensive load rate (77.69 percent and 70.29 percent of scheme B and scheme C, respectively). In terms of advantages, it is also lower than the other two schemes, demonstrating that the combination of scheme A is not optimum. Comparing scheme B and scheme C, it is found that the total power consumption, comprehensive load rate, and power sales benefit of scheme B are less than those of scheme C, and the differences are 1.684 mw∗h, 0.0899, and 700.8 yuan, respectively. Based on the above results, the load combination of scheme C is the best, and the profit of power sales companies is 26.31% and 22% higher than those of scheme A and scheme B. The 0.88 and 3500 yuan data were prepared by the comprehensive data, so scheme C is selected as the optimal scheme of a load combination. The scheme is applied to the simulation environment in Figure 2 to simulate the real-time market transaction of power selling companies, and the results shown in Figure 4 are obtained.Figure 4
Simulation test results of Scheme C.The part with data greater than 0 in the figure represents the real-time power purchase of the power sales company, and the part less than 0 represents the real-time power sales of the power sales company. According to the above test results, after data collection of DL and DG in Figure2, according to the combination mode of scheme C, increase the power purchase when the electricity price is low, reduce the power purchase, and sell excess electricity when the electricity price is high. As a result, scheme C obtains the most income by lowering the power purchase cost and boosting revenue from power sales, proving that scheme C’s combined effect is the best.


## 3.1. Data Preparation

Build the experimental test environment: the operating system is Windows 10, with 3.60 GHz processor, i7 CPU, and 2 TB storage. The distribution system of a power distribution company is simulated and analyzed based on the general algebraic modeling system (GAMS) and mathematical software (MATLAB). Figure2 is the experimental test object based on the original distribution network structure simulation of the system.Figure 2
System structure simulation diagram.Connect node 1 to the main network structure, translatable load (TL) with a maximum capacity of 2535 kW at nodes 4, 5, and 6, controllable distributed power generation (DG) with a maximum output of 225 kW at nodes 9 and 10, and energy storage (ESS) with a maximum capacity of 100 kW/h and charging and discharging efficiency of 95% at node 16. The distributed PV with an installed capacity of 150 kW is connected at node 18, the controllable DG with a maximum output of 150 kW is connected at node 19 and node 20, the interruptible load (IL) with a capacity of 180 kW is connected at node 24, the distributed PV with an installed capacity of 180 kW is connected at node 27 and node 28, respectively, and, finally, the distributed PV with a maximum capacity of 80 kW is connected at node 37 and node 42, with energy storage with charging and discharging efficiency of 90%. The goal of this experimental study is to use the modeling method described in this work to solve the demand response and maximize the profits of power sales companies. Due to seasonal changes in power consumption, this simulation test uses summer as the study backdrop, picks the power consumption data of 8 industrial users in the city for testing, and performs combined optimization of these customers’ power loads. It is assumed that the unit prices of electricity sales in peak hours, trough hours, and normal hours are 1.2714 yuan/(kW/h), 0.4142 yuan/(kW/h), and 0.7424 yuan/(kW/h), respectively. By default, the maximum load that the power sales company can bear is 700 kW, and the comprehensive load rate is required to exceed 0.85 and the total revenue from power sales exceeds 3500 yuan.


## 3.2. Combination Scheme

After the flexible power consumption kinds of the selected 8 users are segregated, the power consumption law is extracted based on the complete demand response of users, and the three load combination findings presented in Table1 are generated, according to the modeling approach of this study.Table 1
User load combination scheme.
User numberPlan APlan BPlan C01Not selectedNot selectedNot selected02SelectNot selectedNot selected03SelectNot selectedSelect04Not selectedSelectNot selected05SelectNot selectedSelect06Not selectedSelectNot selected07Not selectedSelectSelect08Not selectedNot selectedNot selectedFor the above three groups of alternatives, the load rate is calculated and processed in grades. Finally, all user data are updated through the adjustment of the Hansen threshold, and the demand response load to be mobilized after the user demand changes in a day is finally determined [20, 21]. The results are shown in Figure 3.Figure 3
Demand response load when user demand changes. (a) Plan A. (b) Plan B. (c) Plan C.
(a)(b)(c)There is no need to adjust the load because the value of 0 in the figure indicates that demand does not change at a specific period. A negative value indicates that the user must reduce the load in comparison to the initial load; a positive value suggests that the user must raise the load in comparison to the original load. Collect and sort the data of the three groups of load combination optimization schemes according to the data in Figure3, and compare the differences between the three groups of schemes using the model’s total cost analysis results.


## 3.3. Determination of Optimal Combination

Based on the above simulation test results, the power load of the structure in Figure2 is adjusted. After completion, statistical analysis is carried out on the total amount of demand response load, comprehensive load rate, and the interests of power selling companies under the three groups of schemes, and different optimization results of the three groups of schemes are compared, as shown in Table 2 [22, 23].Table 2
Data comparison results of different combination schemes.
DataPlan APlan BPlan CTotal electricity/(MW∗h)22.38511.92413.608Comprehensive load rate0.66370.85430.9442Profit from power sales/yuan3076.13184.53885.3According to the aforementioned statistical results, scheme A has the highest overall power consumption (1.88 times and 1.64 times those of scheme B and scheme C, respectively) but the lowest comprehensive load rate (77.69 percent and 70.29 percent of scheme B and scheme C, respectively). In terms of advantages, it is also lower than the other two schemes, demonstrating that the combination of scheme A is not optimum. Comparing scheme B and scheme C, it is found that the total power consumption, comprehensive load rate, and power sales benefit of scheme B are less than those of scheme C, and the differences are 1.684 mw∗h, 0.0899, and 700.8 yuan, respectively. Based on the above results, the load combination of scheme C is the best, and the profit of power sales companies is 26.31% and 22% higher than those of scheme A and scheme B. The 0.88 and 3500 yuan data were prepared by the comprehensive data, so scheme C is selected as the optimal scheme of a load combination. The scheme is applied to the simulation environment in Figure 2 to simulate the real-time market transaction of power selling companies, and the results shown in Figure 4 are obtained.Figure 4
Simulation test results of Scheme C.The part with data greater than 0 in the figure represents the real-time power purchase of the power sales company, and the part less than 0 represents the real-time power sales of the power sales company. According to the above test results, after data collection of DL and DG in Figure2, according to the combination mode of scheme C, increase the power purchase when the electricity price is low, reduce the power purchase, and sell excess electricity when the electricity price is high. As a result, scheme C obtains the most income by lowering the power purchase cost and boosting revenue from power sales, proving that scheme C’s combined effect is the best.


## 4. Conclusion and Future Scope

Power load is an important comprehensive metric to measure the technical and operational management levels of power supply companies. Because the power load accounts for a large portion of a system’s total power, optimizing the power load has always been a critical task for power supply companies looking to improve their bottom line. In this study, a model for optimizing load combinations in power sales companies is developed. The load characteristic index and power consumption index were used to obtain demand response data, and the flexible power consumption law was predicted using a standardized matrix. Moreover, the Hansen threshold theory was used to calculate the load rate, and the grading is adjusted using three groups of load combination schemes, namely, A, B, and C. In scheme C, the load combination of user 03, user 05, and user 07 was optimized and the power sales profit of the power sales company was 26.31% and 22% higher than those of scheme A and scheme B, respectively. The proposed load combination optimization model fully considers the needs of users, adjusts the power consumption of different users, and realizes the optimal distribution of power load. However, the modeling method in this study involves a large number of calculations, so it is relatively difficult and the modeling process is relatively slower. In the future, artificial intelligence-related technologies can be applied to model load combinations and more advanced technologies can be used to optimize the efficiency of modeling.



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*Source: 9566927-2022-06-08.xml*