PowerFactory Applications for Power System Analysis

© Springer International Publishing Switzerland 2014

Francisco M. Gonzalez-Longatt and José Luis Rueda (eds.)PowerFactory Applications for Power System AnalysisPower Systems10.1007/978-3-319-12958-7_1

1. Load Flow Calculation and Its Application

Muhammad Raza¹  

(1)

Centre d’Innovació Tecnològica en Convertidors Estàtics i Accionaments, Departament d’Enginyeria Elèctrica, Universitat Politècnica de Catalunya, Barcelona, Spain

Muhammad Raza

Email: muhammad.raza@citcea.upc.edu

Abstract

This chapter demonstrates the application of load flow analysis using electrical power system planning software. PowerFactory is used as a software tool for network planning, designing, and application of load flow analysis. Description about the load flow command and different components available in PowerFactory for modeling are given, and how to model the power system network is explained. Furthermore, project planning principle is explained through three case studies. In first case study, network topology for low-voltage network is explained and how to select the network component to fulfill the network constraints is demonstrated. In second case study, medium-voltage network is developed and different power control options are demonstrated to determine the power and voltage operating point of the sources. In addition, method of controlling reactive power flow and frequency variation due to imbalance in power have been simulated. In third case study, application of a load profiling has been developed for low-voltage distribution network. In this study, variation of the load throughout a year has been analyzed.

Electronic supplementary material

The online version of this chapter (doi:10.​1007/​978-3-319-12958-7_​1) contains supplementary material, which is available to authorized users.

Keywords

Load flow tools and applicationNewton–Raphson methodPower flow equationPowerFactoryDistribution networkElectrical networking planning and designingLoad profiling

1.1 Introduction

Power flow calculation is a steady-state analysis of electrical power system to calculate the voltage magnitude and angle at all busbars, and power flow in all branches. Load flow analysis is an essential tool in the process of planning, designing, and operation of power systems under different operating conditions and equipment configuration. Based on load flow calculations, different results can be predicted, such as line losses, transformer loading, power exchange between two or more grids, and required voltage control range of transformers and generators. Load flow results are usually required as initial state for other calculations such as RMS simulation and harmonic analysis; also multiple load flow calculation is required for contingency and reliability analysis.

The derivation of power flow equation is based on admittance of the network. In [1], method of formulating admittance matrix is covered in detail. Generally, power flow equation can be expressed using (1.1) and (1.2).

(1.1)

(1.2)

To solve the system, the number of unknown variables is reduced to number of equation by categorizing network buses into three types. These types are so-called load bus (also known as PQ bus), generator bus (commonly known as PV bus), and slack bus (also called as SL bus). Known and unknown parameters associated with buses are defined in Table 1.1. In the next section, how these categorization in PowerFactory can be made are explained.

Table 1.1

List of known and unknown variables according to bus type

Load Bus: All the busbars at which voltage magnitude and angle are not controlled or undefined are called PQ bus. At load bus, fixed power to be injected or consumed is given; unknown quantity voltage magnitude and angle are then calculated. Usually, bus connected with load is defined as PQ bus.

Generator Bus: Busbar at which voltage magnitude is controlled or kept constant is called a PV bus. At generator bus, only active power and voltage magnitude is given as known quantity; thus, power equation is solved for voltage angle and reactive power. A busbar connected with active source is usually defined as PV bus.

Slack Bus: Any busbar at which voltage magnitude and angle kept constant at defined value is called SL bus. The angle of slack node acts as a reference angle in the network. Slack bus in a network acts as a balancing bus; where missing or excess power is generated or consumed by the active source.

Power flow Eqs. (1.1) and (1.2) are nonlinear function; therefore, numerical iteration method is required to find the solution. There are different methods available for solving nonlinear equation [2–4], but for load flow calculation two approaches are well known: Gauss–Seidel method and Newton–Raphson method [1, 5, 6]. In PowerFactory, Newton–Raphson method is implemented for calculating load flow solution.

1.2 Network Models in PowerFactory for Load Flow

PowerFactory is one of the prominent computer aid engineering software for planning, designing, and operation of power system. It has a vast range of library to model electrical power component and different tools for detail analysis. In this section, transformation of the load flow problems into PowerFactory and performing steady-state analysis with different options and design criteria are explained. There are many possibilities to model electrical component either in detail or in simple form in PowerFactory, but only basic modeling component and those options that are necessary for load flow analysis are covered here. For detail, it is recommended to consult the software user manual [7].

In general, from modeling point of view, PowerFactory electrical component model can be categorized into four categories.

Busbar: It is a fundamental electrical network component at which voltage magnitude and angle are calculated. It is also commonly referred as terminal and junction node. In addition, it is possible to model the busbar as a station in detail that includes the different arrangement of terminals and switches such as single-bus system with tie breaker and double-busbar system with bypass busbar. In PowerFactory, it is identified by the class called ElmTerm.

Source/Generator: Generators are modeled as voltage-controlled sources that control the voltage magnitude and active power injection into the busbar. The busbar connected to the generator is commonly referred as PV bus. In the network, at least one of the generators must be configured as reference machine, i.e., control the voltage magnitude and angle. The busbar connected to the reference machine is set as SL bus. Most common generator/source models in PowerFactory are synchronous machine (ElmSym), double-fed induction machine (ElmAsmsc), static generator (ElmGenstat), external grid (ElmXnet), AC voltage source (ElmVac), and AC current source (ElmIac).

Shunt Filter/Load: These electrical network components supply schedule active and reactive power, and the busbar connected with it is known as PQ bus. Generally, a load is modeled in PowerFactory using class ElmLod, but additionally, there are other models available depending upon network voltage level such as MV load (ElmLodmv) and LV load (ElmLodlv). Shunt filter (ElmShnt) can be modeled as resistive (R), inductive (L), and capacitive (C) filter either or combination of them. In PowerFacotry, asynchronous machine (ElmAsm) model is used for motor representation. Motor can either be modeled as single- or double-cage motor.

Series Branches: Series branches are the electrical components that connect the two terminals to form the network. It includes lines (ElmLne), transformers (ElmTr*), series reactance (ElmSind), series capacitance (ElmScap) and filters (ElmSfilt), and power control devices. Each of them has subcategories for detail modeling of the network.

Most common elements in PowerFactory for the development of the network to formulate the load flow problem and required input data are listed below:

Busbar: Input data for busbar for load flow calculation are rated line-to-line voltage, e.g., 10 kV. Beside that in PowerFactory, other network informations are also required such as system type (AC), and phase technology (ABC, i.e., three-phase balance network). All these informations defined the network basic property.

Line: Transmission line is modeled as PI-network for calculation, and input data required by line are series resistance, series inductance, and shunt capacitance. Usually, these values are given in per km of length. In addition, derating factor and number of parallel line also affect the current-carrying capacity and total impedance of line.

Load: Load can be modeled in different ways such as constant impedance, constant current, or constant power. Constant power load is voltage-independent model and represented with stiff voltage characteristics. This method is mostly used in load flow calculation, and it is suitable for medium- to high-voltage network analysis but not for low-voltage network as load power depends on voltage variation. For the representation of the active power demand of motor, load must be modeled as constant current that changes linearly with voltage. For low-voltage load such as lighting or household electrical equipment, constant-impedance model of load is required that changes proportionally to the square of the voltages. For detail analysis, either of load models individually does not cover all the aspect of consumer load. Characteristics of all models can be combined by using the ZIP model of load [7]. In PowerFactory, load type (TypLod) must be defined for load ZIP modeling. Input parameters are inserted on load flow page of load type as shown in Fig. 1.1.

Fig. 1.1

PowerFactory setting for voltage dependency load modeling on load flow page of load type

Shunt Filter: It is a representation of R, L, and C or combination of these filters. Usually, shunt filter is modeled as admittance for load flow calculation and the value can be given either directly as layout parameters or calculated from design parameters such as rated voltage, rated power, quality factor, and resonance frequency.

Fig. 1.2

Load flow setting page of PowerFactory static generator model

Generator: For load flow calculation, generator is modeled as current-injected source. It is important to define voltage controller scheme for generator, i.e., droop characteristic (DV), fixed set point (PV), or uncontrolled (PQ). If the busbar connected with the generator set to PV mode, then only one generator can control the voltage of that busbar; on the other hand, if the voltage controller scheme is set as droop control, more than one generator can control the voltage of the busbar. Active dispatch and voltage set point must be defined according to input mode. Additionally, to investigate the loading and operation limit violation, it is required to set the active and reactive power maximum and minimum limits. In PowerFactory, it is also possible to implement external station controller and power–frequency controller to control the reactive and active power of the generator. Station control system is used to simulate the behavior as supervisor control system of generators’ reactive power. Similarly, power–frequency controller controls the frequency at a busbar by controlling one or more generators’ active power flow. Load flow page of a static generator (ElmGenstat) is shown in Fig. 1.2.

External Grid: As explain earlier, there must be at least one slack busbar in the network. In PowerFactory, busbar type is defined by the element connected to it. To set a busbar as slack, mode type of generation unit connected to it must be set to SL. Voltage magnitude and angle values are required as input data.

1.3 Project Planning Using Load Flow Calculation

Generally, power system transmission network is subdivided into three systems for planning, designing an operational point of view. This categorization based on transmission voltage levels, i.e., high-voltage (HV), medium-voltage (MV), and low-voltage (LV) network. Voltage level associated with each network category is listed in Table 1.2. High-voltage network system is used for transferring large electrical power over long distance from city to city or one country to another and connects large power stations. Medium-voltage network usually distributes power within urban and rural area and supplies power to industries having large motors. Low-voltage network supplies power to household customer and small industries [8]. Foremost step in network planning is to construct the single line diagram which is based on geography, and it shows the distribution of load, generation, and layout of the network. Topologically, power systems are constructed and operated as radial, ring-main, and meshed system. Each of these network topologies has some advantages and disadvantages; network design is usually chosen according to the planning criteria such as cost, reliability, and contingency. More detail can be found in [8].

Table 1.2

Power system network level

1.3.1 Case Study: Low-Voltage Network

Radial system is the simplest configuration of electrical network. In radial system, there is only one feeding point and usually it is employed at low-voltage-level network. The advantage of this configuration is low investment cost and simple operation, but as a disadvantage, this configuration does not support n − 1 criterion; that is, in case of failure of a line, the downstream load of that line cannot be restored. On the other hand, radial ring-main topology which is obtained by connecting the line end back to same station as shown in Fig. 1.3 provides reserves for outage of each sections.

Fig. 1.3

Single line diagram of LV network

PowerFactory project of this case study is available, having title Load Flow Case LV Network.pfd. All the required equipment types and necessary data are included in the project. Network configuration is set as the final solution of the project. Six feeders are defined in the project. To activate the coloring according to the feeder, on menu, click View → Diagram Coloring. Standard coloring dialog box will open; select option Other on basic page. Choose from the list box Topology and Feeders and press OK.

The list of feeders can be seen by clicking on toolbar option Edit Relevant Objects for Calculation and then Feeders (*.ElmFeeder). List of other elements can also be displayed in a similar manner. In this configuration, there are six outgoing feeders, i.e., line 2–8, 2–6, 4–2, 3–5, 3–7, and 3–9. The term feeder is referred to the outgoing connection from MV or LV substation such as overhead line or cables. Power is transferred via two distribution transformers from MV to LV network. Thus, it provides possibility to continue supply to the customer via one transformer by closing coupling switch in case other transformer is malfunctioning or in schedule services. This means that the thermal loading of each transformer must be at 50 % in average in normal operation. External grid represents the MV distribution system with an ability to withstand load variation of LV network; thus, busbar 1 acts as a slack bus.

Feeders in radial ring-main configuration offer reserves in case of fault from another feeder which is connected to the same substation via open switches as demonstrated in Fig. 1.3. Therefore, it is necessary to keep the loading of each line section lower than its maximum permissible loading to be able to supply the extra load during fault.

Also, system losses and voltage drop can be minimized by changing the location of open switch within the loop. For network planning, total number of consumers, load per consumer, and geographical distance between loads must be known. Also, different line types for selections must also be available. Line types of different cross section are listed in Table 1.3. Also, line types are available in global library of PowerFactory. Network is planned for 50 Hz three-phase balance AC system.

Table 1.3

Line type input data for low-voltage network

Similarly, transformer specifications are given in Tables 1.4 and 1.5. Additionally, some distribution transformer may equip with tap changer. Through tap changer, additional winding can be added either at HV or LV side, which leads to rise or drop in the voltage level and/or produces phase shift. Here, same type is assigned to both transformers.

Table 1.4

Transformer type data for low-voltage network

Table 1.5

Transformer tap setting

Using load and line data that are given in Tables 1.6 and 1.7, respectively, LV network can be established in PowerFactory. In normal operation, switches at busbars 18, 19, and 27 and bus coupler are open, thus operating all the feeders in radial configuration. All loads are modeled as constant power system. Initially, assign the line type of minimum cross-section (low-priced) to all lines so that the amount of current flowing through the lines is according to loads and loading of each lines can be determined. Select load flow command from the toolbar or from menu by clicking Calculation → Load Flow → Load Flow. Command class is referred as ComLdf. Adjust the option as shown in Figs. 1.4 and 1.5, and execute the load flow calculation. These settings execute the balance AC load flow calculation with no reactive power control and using reference machine as an active power control.

Table 1.6

Input data for all loads

Table 1.7

Line input data for low-voltage network

Fig. 1.4

PowerFactory load flow command basic setting

Fig. 1.5

PowerFactory load flow command power control setting

Load flow results will be shown in single line diagram. Overloaded cables and low-voltage busbars can be identified via diagram coloring feature. Losses in the network in initial calculation would be high, as many of lines will be overloaded and voltage drop at the end of the feeders might be greater than limits.

In low-voltage network, voltage drop at the end of the feeder must be within the tolerance of ±10 % of rated voltage. One of the criteria of the network planning is the consideration of utilization factor which can be directly measured via component loading.

For example, if the line transformer loading is near 20 %, then it considers as overdesign as transformer with higher rated power is installed which leads to unnecessary higher cost. Similarly, a cable can be operated with 100.0 % loading and for short duration of time at higher loading but excess heat and stress on the cable lead to shortening of cable life, which is then considered as underdesign. Generally, loading of the components near 70 % is preferable. PowerFactory provides many data-handling tools that can be used for defining filters according to custom criteria.

Display the list of lines, on flexible data page of the list, define custom variable by clicking Define Flexible Data, and choose loading variable (c:loading). Sort the list of lines in descending order by clicking on the loading column header. Note down lines that have loading above 70 %. Similarly, list of busbars (*.ElmTerm) can be displayed and sorted in ascending order according to voltage magnitude by defining variable (m:u). List of overloaded lines and low-voltage busbars is shown in Table 1.8. It can be noticed that there are lines that are above 100 % loading, and maximum voltage drop at busbars is up to 60 % of rated voltage. Limit violations can be mitigated by choosing cables of higher cross section for overloaded lines; this may improve the voltage drops as well.

Table 1.8

List of cables above 70 % thermal limits and busbars above 10 % voltage drop limits

It is not only sufficient to select the cable according to normal operational current, but also it is important to consider the worst-case scenario. Worst case in the design would be if either busbar 2 or busbar 3 goes out of service; in this situation, total load has to be supplied by only one transformer. The criteria for lines and transformer would be not to exceed their thermal limit; that is, loading must not be higher than 100 % and voltage drop at feeders end busbar must not drop below 0.8 p.u.

According to these criteria, cable types with the recommended cross-section are listed in Table 1.9. To study worst-case scenario, set busbar 3 to out of service and close switches at busbars 18, 19, and 27. Execute the load flow with same setting and observe the results. With recommended setting in worst case, transformer loading would be 86.4 % and all the lines will have less than 100 % loading. Maximum voltage drop will be up to 0.841 p.u. When the fault is not on the main supplying busbars (bus 2 or 3), there are multiple options via disconnector (i.e., bus coupler, switches at busbars 18, 19, and 27, and feeder switches) to reroute the supply of the consumers that are on the fault branch. For self-exercise, find the recommended switches’ states in order to supply all the loads when transformer TrB and line 26–19 both are out of service.

Table 1.9

Recommended cross-section of cable types for lines

As explained earlier, for low-voltage network, preferable load model is constant impedance. In constant-impedance model, actual amount of power consumed by the load depends on voltage level of the connected busbar. If voltage drops, power consumed by the load would be lower than rated value. Besides accuracy of consumer load representation at LV network, constant-impedance model is also useful for solving load flow algorithm when the losses in the network are too high.

In this case study, initially while planning network, same cable type (i.e., 50 mm²) to all lines was assumed.

If load flow command is executed for worst-case scenario with initial setting, load flow will not converge. The solution can be found by modeling all loads as constant impedance. In the project, load type with the setting shown in Fig. 1.1 is assigned to all loads. Enable load flow option Consider Voltage Dependency of Load on basic page as shown in Fig. 1.4. Execute the load flow command; process will converge. It is to be noticed that power consumption by loads is reduced and it depends upon the connected busbar voltage. Detailed report of the network can be created by executing Output of Result (ComSh) command. Click Output Calculation Analysis icon from the toolbar, and execute the command with option Grid Summary.

In normal operation with recommended cable types, total active and reactive power including demand and losses that must be supplied by medium network grid can be determined from external grid model connected to slack busbar.

According to simulation, total demand of low-voltage network is 985.1 kW and 235.2 kVar. During planning, it is also sometimes essential to study the future load increment. Future loads usually are not given as definite value, and it is not necessary to change the load value manually. Scale factor can be introduced for all feeders, and it will be applied on all corresponding loads. In PowerFactory, on feeder load flow page, assign the value according to Table 1.10. To consider the feeder load scaling during load flow calculation, select the option Feeder Load Scaling on basic page of load flow command. After execution of load flow, it can be noticed that power flow from each feeding point increases proportionally. Furthermore, due to the increase in power flow, voltage drop increases within the feeders and at feeding busbars too (buses 2 and 3).

Table 1.10

Feeder load scaling setting

As explained earlier, distributed transformer may also have tap setting and usually it increases or decreases tap value automatically according to the set point and voltage range. Adjust the transformer tap control setting on both transformers load flow page according to Fig. 1.6. To enable the automatic transformer control during load flow calculation, select option Automatic Tap Adjust of Transformer on basic page of load flow command. After calculating load flow, it can be noticed that voltages at feeder busbar has improved, consequently improving voltage level at all load busbars. Shunt filter is not modeled in the project, but similar to transformer tap control, shunt auto-tap control can be activated by selecting option Automatic Shunt Adjustment.

Fig. 1.6

Automatic transformer tap control setting

1.3.2 Case Study: Medium-Voltage Network

Most of the medium-voltage networks are in ring-meshed configuration as shown in Fig. 1.7. Often, small generators are connected to the network at medium-voltage level. Here, Grid A is set as slack generation and Grid B is set in PQ mode to represent the equivalent model of low-voltage network level with negative active and reactive power of 985.1 kW and 235.2 kVar, respectively.

Fig. 1.7

Medium-voltage network in ring-meshed configuration

Here, network level is 10 kV. PowerFactory project for this case study is available having title Load Flow Case MV Network.pfd. Lines and its type parameters as well as transformer and it types parameters are defined in the project. Generator settings are listed in Table 1.11. An additional load is connected at busbar 36 having value 3,000.0 kW and 1,700.0 kVar. Calculate the three-phase balance load flow calculation with active power control option as dispatch and power balancing by reference machine. Disable all reactive power control options. It can be observed that all the lines and generators loading are less than 100 %. Active power supplies by generators are according to the set points, and all the busbars’ voltage levels are within the range of ±3 % of nominal voltage, but generators are consuming relatively high reactive power, and network reactive power demand is only fulfilled by Grid A. Therefore, here, the planning objective is to determine the appropriate voltage set points for the generator so that reactive power becomes positive and improves the power factor of Grid A. Load flow results without power control are shown in Table 1.12. One way to achieve this is by assuming and changing voltage set points of generators manually and recalculating the load flow. This process is repeated and inefficient. In PowerFactory, external station controller (ElmStactrl) can be defined to automate this process (Fig. 1.8).

Table 1.11

Generator setting for medium-voltage network

Table 1.12

Power flows of sources in medium-voltage network

Fig. 1.8

PowerFactory station controller SC A setting

Station controller acts on sources to control the reactive power flow according to the desired characteristic. The objective of station controller can be to control the voltage level at a busbar, maintain power factor, or control reactive power flow in a branch. In the example, two station controllers SC A and SC B are defined. SC A controls generators S3 and S4, and SC B controls generators S1 and S2. New station controller can be created by selecting S1 and S2 and then press Right click → Define → Station Control; adjust the setting as shown in Fig. 1.9, and press OK. If station controller already exists, you can assign generators to it by selecting generators and pressing Right click → Add → Station Control. Setting for station controller SC A is shown in Fig. 1.8.

Fig. 1.9

PowerFactory station controller SC B setting

Note SC A is controlling reactive power flow through line 35–28 at the side of busbar 28 and SC B is controlling power factor at busbar 34 at the line 35–34. In this setting, reactive power flow is enforced from generators toward load connected at busbar 36 and reducing the amount of reactive power supply from the Grid A.

After calculating load flow with the station controllers, it can be seen from Table 1.13 that the demand of reactive power required by the load is now fulfilled by the generators and power factors of all sources are improved. Results also provide the required voltage set points for the generators as well. Results can be verified by disabling the station controllers and assigning the voltage set points to the corresponding generators.

Table 1.13

Power flow results with station controller

In above example, power is balanced by slack node and generation unit connected to that bus is assumed to have infinite power, but in reality all generation units have active power limits and usually power is balanced by increasing or decreasing individual generator power. If in the network, generation is more than the load, then the grid frequency rises, and if generation is less than demand, then overall network frequency drops. This phenomenon can be studied in PowerFactory using Load Flow (ComLdf) active power control options According to Secondary Control and According to Primary Control. Power control option can be changed on load flow page of load flow command. See Fig. 1.5 for detail.

In power balancing by primary control, all generators contribute in balancing the power according to their gain K pf defined on load flow page (ElmXnet, ElmSym, ElmGenstat, etc.); for details see Fig. 1.2. Here, it is important to set the reference machine (ElmXnet) into other than SL mode, and it must have nonzero primary frequency biasing. Disable all the station controllers and assign the 0.1 MW/Hz primary frequency biasing to the external grid Grid A (ElmXnet). Generators parameters are set according to Table 1.11 except voltage set points which are taken from Table 1.13. Enable Out-of-Service flag for Grid B, and connect load (ElmLod) to busbar 1 of value 985.1 kW and 235.2 kVar.

From Table 1.13, it can be noticed that the load demand in the network is 345.58 kW higher than total generation. Thus, change in grid frequency and contribution of each source is calculated using (1.3) and (1.4). After calculating load flow with primary frequency control, the resulting generation from all sources is listed in Table 1.14. Simulation results may differ due to network losses which vary according to power flow direction. Load flow calculation with According to Secondary Control active power control option has same principle of balancing the power as of primary control, but additionally, frequency of the network is controlled by defining external secondary controller on load flow page of all generators (ElmSym, ElmGenStat, etc.), see Fig. 1.2 for details. Here, it is required to define the secondary frequency biasing to 0.1 MW/Hz on load flow page of external grid (Grid A).

(1.3)

(1.4)

Table 1.14

Load flow results using primary frequency control

Calculate the load flow by setting active power control as According to Secondary Control. Results would be the same as shown in Table 1.14. Now, define the power–frequency controller (ElmSecctrl) and assign the contribution of each generator according to Fig. 1.10. Power–frequency controller can be defined by selecting all static generators and press Right click → Define → Power Frequency Controller.

Fig. 1.10

PowerFactory power–frequency control setting

In the given project, frequency controller is already defined and it can be enabled by unchecking the out-of-services flag. Calculate the load flow; frequency control will try to maintain the frequency at the rated value by increasing or decreasing the generation according to the assign percentage.

The result of load flow calculation using secondary control with external power–frequency controller is shown in Table 1.15. The frequency deviation of the network is controlled to zero, and the contribution of each generators is increased. From planning point of view, the percentage increase in generation is assigned according to the loading of generators in normal operation. It is also possible that the amount of active power exceeds the maximum limits and generators become overloaded.

Table 1.15

Load flow results using power–frequency controller

In this case, there is a possibility to limit the active power by enabling the option Consider Active Power Limits on power control page of load flow command. When frequency control system is not required, such as power balancing with the option as dispatched, PowerFactory provides several other balancing methods as well like by load at reference bus, distributed slack by load, and distributed slack by generation. These options are useful to optimize the losses in the network. Options Distributed Slack by Load and Distributed Slack by Generation are also effective to converge the load flow result when high load in large network exists and load flow do not converge due to unrealistic data and imbalance in power.

1.3.3 Case Study: Load Profile Analysis

Load profile or load forecasting is an analysis curve in which variation of demand over a particular period of time can be illustrated. In this analysis, effects on a network stability of load variation are predicted, which is based on previous data usually acquired through electrical bills. Most commonly, profiling is divided into three categories: