A power demand prediction method and terminal during the Spring Festival

Abstract

The application discloses a power demand prediction method and a terminal during the Spring Festival, which comprises the following steps: inputting prediction data of a Spring Festival influence period of a prediction year into a power demand prediction model which does not consider the influence of the Spring Festival and only considers the influence of air temperature, outputting power consumption of the Spring Festival influence period of the prediction year without considering the influence of the Spring Festival, and then calculating predicted power consumption of the Spring Festival influence period of the prediction year based on power consumption of the Spring Festival influence period of historical years considering the influence of the Spring Festival and the power consumption of the Spring Festival influence period of the prediction year without considering the influence of the Spring Festival, so as to step by step predict the power consumption considering only the influence of air temperature and the power consumption influenced by the Spring Festival, and combine power consumption of the Spring Festival influence period of historical years, so as to more accurately predict power demand during the Spring Festival, and help power supply enterprises to better plan and dispatch power during the influence period of the Spring Festival.

Description

Technical Field

[0001] The present invention relates to the technical field of power analysis, and in particular to a method and terminal for predicting power demand during the Spring Festival. Background Art

[0002] The Spring Festival is China's most important traditional festival. Electricity demand during the Spring Festival is affected by many factors such as temperature, population mobility, and holiday shutdowns, presenting unique characteristics different from other periods. Traditional electricity demand forecasting methods cannot accurately predict electricity demand during the Spring Festival period, and cannot provide a basis for power supply companies' electricity planning during the Spring Festival period. Summary of the Invention

[0003] The technical problem to be solved by the present invention is to provide a method and terminal for predicting electricity demand during the Spring Festival, which can more accurately predict electricity demand during the Spring Festival.

[0004] In order to solve the above technical problems, the technical solution adopted by the present invention is:

[0005] A method for predicting power demand during the Spring Festival, comprising the steps of:

[0006] Inputting the forecast data of the Spring Festival influence period of the forecast year into the power demand forecast model, and outputting the power consumption of the Spring Festival influence period of the forecast year without considering the influence of the Spring Festival, wherein the power demand forecast model does not consider the influence of the Spring Festival and only considers the influence of temperature;

[0007] Obtain the electricity consumption during the Spring Festival period in historical years taking into account the impact of the Spring Festival;

[0008] The predicted electricity consumption during the Spring Festival impact period of the predicted year is calculated based on the electricity consumption during the Spring Festival impact period considering the impact of the Spring Festival in the historical years and the electricity consumption during the Spring Festival impact period not considering the impact of the Spring Festival in the predicted year.

[0009] In order to solve the above technical problems, another technical solution adopted by the present invention is:

[0010] A terminal for predicting power demand during the Spring Festival includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, the following steps are implemented:

[0011] Inputting the forecast data of the Spring Festival influence period of the forecast year into the power demand forecast model, and outputting the power consumption of the Spring Festival influence period of the forecast year without considering the influence of the Spring Festival, wherein the power demand forecast model does not consider the influence of the Spring Festival and only considers the influence of temperature;

[0012] Obtain the electricity consumption during the Spring Festival period in historical years taking into account the impact of the Spring Festival;

[0013] The predicted electricity consumption during the Spring Festival impact period of the predicted year is calculated based on the electricity consumption during the Spring Festival impact period considering the impact of the Spring Festival in the historical years and the electricity consumption during the Spring Festival impact period not considering the impact of the Spring Festival in the predicted year.

[0014] The beneficial effect of the present invention is that: the forecast data of the Spring Festival influence period of the forecast year is input into the power demand forecast model which does not consider the influence of the Spring Festival but only considers the influence of temperature, and outputs the power consumption of the Spring Festival influence period of the forecast year which does not consider the influence of the Spring Festival, and then calculates the forecast power consumption of the Spring Festival influence period of the forecast year based on the power consumption of the Spring Festival influence period of historical years which considers the influence of the Spring Festival and the power consumption of the Spring Festival influence period of the forecast year which does not consider the influence of the Spring Festival, so as to make step-by-step forecasts of the power consumption which only considers the influence of temperature and the power consumption affected by the Spring Festival, and combine the power consumption of the Spring Festival influence period of historical years, so as to more accurately predict the power demand during the Spring Festival, which helps to help power supply companies better plan and dispatch power during the Spring Festival influence period. BRIEF DESCRIPTION OF THE DRAWINGS

[0015] Figure 1 This is a flowchart of a method for predicting power demand during the Spring Festival according to an embodiment of the present invention;

[0016] Figure 2 The figure is a schematic structural diagram of a terminal for predicting power demand during the Spring Festival according to an embodiment of the present invention. DETAILED DESCRIPTION

[0017] To illustrate the technical content, achieved objectives and effects of the present invention in detail, the following description is given in conjunction with the embodiments and accompanying drawings.

[0018] Please refer to Figure 1 , a method for predicting power demand during the Spring Festival, comprising the steps of:

[0019] Inputting the forecast data of the Spring Festival influence period of the forecast year into the power demand forecast model, and outputting the power consumption of the Spring Festival influence period of the forecast year without considering the influence of the Spring Festival, wherein the power demand forecast model does not consider the influence of the Spring Festival and only considers the influence of temperature;

[0020] Obtain the electricity consumption during the Spring Festival period in historical years taking into account the impact of the Spring Festival;

[0021] The predicted electricity consumption during the Spring Festival impact period of the predicted year is calculated based on the electricity consumption during the Spring Festival impact period considering the impact of the Spring Festival in the historical years and the electricity consumption during the Spring Festival impact period not considering the impact of the Spring Festival in the predicted year.

[0022] From the above description, it can be seen that the beneficial effect of the present invention is that: the forecast data of the Spring Festival influence period of the forecast year is input into the power demand forecasting model that does not consider the impact of the Spring Festival but only considers the impact of temperature, and outputs the power consumption of the Spring Festival influence period of the forecast year without considering the impact of the Spring Festival. Then, the predicted power consumption of the Spring Festival influence period of the forecast year is calculated based on the power consumption of the Spring Festival influence period considering the impact of the Spring Festival in historical years and the power consumption of the Spring Festival influence period without considering the impact of the Spring Festival in the forecast year. In this way, the power consumption considering only the impact of temperature and the power consumption affected by the Spring Festival are predicted step by step, and combined with the power consumption of the Spring Festival influence period of historical years, the power demand during the Spring Festival can be more accurately predicted, which helps power supply companies to better plan and dispatch power during the Spring Festival influence period.

[0023] Furthermore, the step of inputting the forecast data of the Spring Festival impact period of the forecast year into the power demand forecast model includes the following steps:

[0024] Obtain winter electricity consumption data, winter meteorological data, and whether it is a working day, excluding the Spring Festival period;

[0025] The winter electricity consumption data, the winter meteorological data and the attribute of whether it is a working day are used to train a BP neural network model to obtain a power demand prediction model.

[0026] From the above description, we can see that the BP neural network model is trained using winter electricity consumption data excluding the Spring Festival influence period, winter meteorological data, and whether it is a weekday attribute. The power demand forecasting model obtained by training in this way only considers the influence of temperature without considering the influence of the Spring Festival, thereby achieving step-by-step forecasting.

[0027] Furthermore, the step of inputting the forecast data of the Spring Festival impact period of the forecast year into the power demand forecast model includes the following steps:

[0028] Get meteorological data and whether it is a working day during the Spring Festival period in historical years;

[0029] Input the meteorological data of the Spring Festival influence period of the historical year and the attribute of whether it is a working day into the power demand forecasting model, and output the power consumption during the Spring Festival influence period of the historical year without considering the impact of the Spring Festival;

[0030] Obtain the actual electricity consumption during the Spring Festival period in historical years;

[0031] The electricity consumption during the Spring Festival influence period in the historical year taking the impact of the Spring Festival into consideration is obtained based on the electricity consumption during the Spring Festival influence period in the historical year without taking the impact of the Spring Festival into consideration and the actual electricity consumption during the Spring Festival influence period in the historical year.

[0032] From the above description, it can be seen that the meteorological data of the Spring Festival influence period in historical years and the attribute of whether it is a working day are input into the power demand forecasting model, and the electricity consumption during the Spring Festival influence period in historical years without considering the influence of the Spring Festival is output. Then, the electricity consumption during the Spring Festival influence period in historical years considering the influence of the Spring Festival is obtained based on the electricity consumption during the Spring Festival influence period in historical years without considering the influence of the Spring Festival and the actual electricity consumption during the Spring Festival influence period in historical years, so as to be used for the subsequent effective prediction of the electricity consumption during the Spring Festival influence period in the forecast year.

[0033] Furthermore, obtaining the electricity consumption during the Spring Festival influence period in the historical year taking into account the impact of the Spring Festival based on the electricity consumption during the Spring Festival influence period in the historical year without taking into account the impact of the Spring Festival and the actual electricity consumption during the Spring Festival influence period in the historical year includes:

[0034]

[0035] Where E′ T,i represents the electricity consumption during the Spring Festival period i in historical year T, taking into account the impact of the Spring Festival. represents the electricity consumption during the Spring Festival period i in historical year T without considering the impact of the Spring Festival, E T,i It represents the actual electricity consumption on day i during the Spring Festival influence period in historical year T.

[0036] From the above description, it can be seen that the electricity consumption during the Spring Festival influence period in historical years taking into account the influence of the Spring Festival and temperature can be simply and effectively calculated based on the electricity consumption during the Spring Festival influence period in historical years without taking into account the influence of the Spring Festival and the actual electricity consumption during the Spring Festival influence period in historical years.

[0037] Furthermore, the forecast data of the Spring Festival influence period of the forecast year is input into the power demand forecast model, and the power consumption of the Spring Festival influence period of the forecast year without considering the impact of the Spring Festival is output, including:

[0038] The predicted meteorological data of the Spring Festival influence period of the forecast year and the attribute of whether it is a working day are input into the power demand forecast model, and the power consumption during the Spring Festival influence period of the forecast year without considering the impact of the Spring Festival is output.

[0039] From the above description, it can be seen that since the electricity demand forecasting model does not consider the impact of the Spring Festival and only considers the impact of temperature, inputting the predicted meteorological data of the Spring Festival impact period of the forecast year and the attribute of whether it is a working day into the model can accurately predict the electricity consumption during the Spring Festival impact period of the forecast year without considering the impact of the Spring Festival.

[0040] Furthermore, the calculation of the predicted power consumption during the Spring Festival impact period of the predicted year based on the power consumption during the Spring Festival impact period of the historical year considering the impact of the Spring Festival and the power consumption during the Spring Festival impact period of the predicted year not considering the impact of the Spring Festival includes:

[0041] The electricity consumption during the Spring Festival period of the historical year is corrected using the time attenuation coefficient to obtain the electricity consumption during the Spring Festival period of the forecast year;

[0042] The predicted electricity consumption during the Spring Festival impact period of the predicted year is calculated based on the electricity consumption during the Spring Festival impact period considering the impact of the Spring Festival in the predicted year and the electricity consumption during the Spring Festival impact period not considering the impact of the Spring Festival in the predicted year.

[0043] From the above description, it can be seen that the electricity consumption during the Spring Festival influence period of historical years taking into account the impact of the Spring Festival is corrected using the time attenuation coefficient, and then the predicted electricity consumption during the Spring Festival influence period of the predicted year can be accurately calculated based on the electricity consumption during the Spring Festival influence period of the predicted year taking into account the impact of the Spring Festival and the electricity consumption during the Spring Festival influence period of the predicted year without taking into account the impact of the Spring Festival.

[0044] Furthermore, the usage time attenuation coefficient is used to correct the electricity consumption during the Spring Festival period of the historical year, and the electricity consumption during the Spring Festival period of the predicted year is obtained by taking into account the influence of the Spring Festival.

[0045]

[0046] Where, E represents the electricity consumption during the Spring Festival period i in the forecast year T0, taking into account the impact of the Spring Festival. t ' ,i represents the electricity consumption during the Spring Festival influence period i in historical year t, T represents the set of historical years, and β represents the time attenuation coefficient.

[0047] From the above description, it can be seen that, considering that the changing trend of daily electricity consumption before and after the Spring Festival is consistent, which is basically "V"-shaped, the value of daily electricity consumption affected by the Spring Festival holiday in the forecast year can be calculated based on the average level of the impact of the Spring Festival in previous years. Since the industrial structure and residents' living habits will undergo certain changes over a long period of time, the values ​​close to the forecast year are more meaningful for reference. Therefore, when using historical data to calculate the forecast year, the time attenuation coefficient is introduced to correct the electricity consumption during the Spring Festival impact period of historical years considering the impact of the Spring Festival, so as to obtain the electricity consumption during the Spring Festival impact period considering the impact of the Spring Festival in the forecast year, which is more accurate and in line with reality.

[0048] Furthermore, the calculation of the predicted electricity consumption during the Spring Festival impact period of the forecast year based on the electricity consumption during the Spring Festival impact period considering the impact of the Spring Festival in the forecast year and the electricity consumption during the Spring Festival impact period not considering the impact of the Spring Festival in the forecast year includes:

[0049]

[0050] Where, represents the predicted electricity consumption on day i during the Spring Festival influence period in the forecast year T0, It represents the electricity consumption on day i during the Spring Festival impact period in the forecast year T0 without considering the impact of the Spring Festival.

[0051] From the above description, it can be seen that the predicted electricity consumption during the Spring Festival impact period of the predicted year is calculated based on the electricity consumption during the Spring Festival impact period considering the impact of the Spring Festival in the predicted year and the electricity consumption during the Spring Festival impact period not considering the impact of the Spring Festival in the predicted year. The predicted electricity consumption during the Spring Festival impact period of the predicted year obtained in this way can comprehensively consider the impact of temperature and the impact of the Spring Festival, thereby more accurately predicting the electricity demand during the Spring Festival.

[0052] Furthermore, it also includes:

[0053] The 15th day of the 12th lunar month to the 25th day of the 1st lunar month is determined as the Spring Festival impact period.

[0054] From the above description, we can see that according to the comprehensive characteristics of the Spring Festival, taking into account that around the Spring Festival every year, some enterprises and self-employed individuals begin to suspend work and production on the 15th day of the twelfth lunar month, and the suspension lasts until around the 25th day of the first lunar month each year, when work is basically resumed and electricity consumption will tend to stabilize, the 15th day of the twelfth lunar month to the 25th day of the first lunar month is determined as the Spring Festival impact period, so as to realize the electricity demand forecast during the Spring Festival impact period.

[0055] Please refer to Figure 2 Another embodiment of the present invention provides a terminal for predicting electricity demand during the Spring Festival, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, the various steps in the above-mentioned method for predicting electricity demand during the Spring Festival are implemented.

[0056] The above-mentioned method and terminal for predicting power demand during the Spring Festival of the present invention can be applied to power demand prediction scenarios during the Spring Festival, and are described below through specific implementation methods:

[0057] Please refer to Figure 1 , embodiment 1 of the present invention is:

[0058] S1. Obtain winter electricity consumption data, winter meteorological data, and whether it is a working day, excluding the period affected by the Spring Festival.

[0059] In an optional implementation, it also includes: determining the 15th day of the 12th lunar month to the 25th day of the 1st lunar month as the Spring Festival influence period.

[0060] The winter meteorological data include daily average temperature, daily minimum temperature and daily relative humidity.

[0061] S2. Use the winter electricity consumption data, the winter meteorological data, and the attribute of whether it is a working day to train a BP neural network model to obtain a power demand prediction model.

[0062] S3. Obtain meteorological data during the Spring Festival influence period in historical years and whether it is a working day attribute.

[0063] S4. Input the meteorological data of the Spring Festival influence period of the historical year and the attribute of whether it is a working day into the power demand forecasting model, and output the power consumption during the Spring Festival influence period of the historical year without considering the influence of the Spring Festival.

[0064] S5. Obtain the actual electricity consumption during the Spring Festival influence period in historical years.

[0065] The actual electricity consumption during the Spring Festival influence period in the historical years reflects the electricity consumption during the Spring Festival influence period affected by the Spring Festival and the temperature, and is the true value.

[0066] S6. Obtain the electricity consumption during the Spring Festival period in the historical year taking the impact of the Spring Festival into account based on the electricity consumption during the Spring Festival period in the historical year without taking the impact of the Spring Festival into account and the actual electricity consumption during the Spring Festival period in the historical year, specifically:

[0067]

[0068] Where E′ T,i represents the electricity consumption during the Spring Festival period i in historical year T, taking into account the impact of the Spring Festival. represents the electricity consumption during the Spring Festival period i in historical year T without considering the impact of the Spring Festival, E T,i It represents the actual electricity consumption on day i during the Spring Festival influence period in historical year T.

[0069] S7. Input the forecast data of the Spring Festival influence period of the forecast year into the power demand forecast model, and output the power consumption of the Spring Festival influence period of the forecast year without considering the influence of the Spring Festival. The power demand forecast model does not consider the influence of the Spring Festival, but only considers the influence of temperature.

[0070] Specifically, the predicted meteorological data of the Spring Festival influence period of the forecast year and the attribute of whether it is a working day are input into the power demand forecast model, and the power consumption during the Spring Festival influence period of the forecast year without considering the influence of the Spring Festival is output.

[0071] S8. Obtain the electricity consumption during the Spring Festival period in historical years, taking into account the impact of the Spring Festival;

[0072] S9. Calculating the predicted electricity consumption during the Spring Festival impact period of the forecast year based on the electricity consumption during the Spring Festival impact period taking into account the impact of the Spring Festival in the historical years and the electricity consumption during the Spring Festival impact period of the forecast year without taking into account the impact of the Spring Festival, specifically including S91-S92:

[0073] S91. Correct the electricity consumption during the Spring Festival period of the historical year by using the time attenuation coefficient to obtain the electricity consumption during the Spring Festival period of the forecast year, specifically:

[0074]

[0075] Where, E represents the electricity consumption during the Spring Festival period i in the forecast year T0, taking into account the impact of the Spring Festival. t ' ,i represents the electricity consumption during the Spring Festival period i in historical year t, which corresponds to the above E′ T,i , T represents the historical year set, and β represents the time decay coefficient.

[0076] Wherein, β≥0, and the larger the value of β is, the greater the weight of the electricity consumption value affected by the Spring Festival in the year close to the Spring Festival. In an optional embodiment, β=0.8.

[0077] S92. Calculate the predicted electricity consumption during the Spring Festival impact period of the forecast year based on the electricity consumption during the Spring Festival impact period taking into account the impact of the Spring Festival in the forecast year and the electricity consumption during the Spring Festival impact period without taking into account the impact of the Spring Festival in the forecast year, specifically:

[0078]

[0079] Where, represents the predicted electricity consumption on day i during the Spring Festival influence period in the forecast year T0, It represents the electricity consumption on day i during the Spring Festival impact period in the forecast year T0 without considering the impact of the Spring Festival.

[0080] Please refer to Figure 2 , the second embodiment of the present invention is:

[0081] A terminal for predicting electricity demand during the Spring Festival includes a memory, a processor, and a computer program stored in the memory and runnable on the processor. When the processor executes the computer program, each step of the method for predicting electricity demand during the Spring Festival in Example 1 is implemented.

[0082] In summary, the present invention provides a method and terminal for predicting electricity demand during the Spring Festival. The method inputs the forecast data of the Spring Festival influence period of the forecast year into the electricity demand forecast model that only considers the influence of temperature without considering the influence of the Spring Festival, outputs the electricity consumption of the Spring Festival influence period of the forecast year without considering the influence of the Spring Festival, and then calculates the predicted electricity consumption of the Spring Festival influence period of the forecast year based on the electricity consumption of the Spring Festival influence period considering the influence of the Spring Festival in historical years and the electricity consumption of the Spring Festival influence period without considering the influence of the Spring Festival in the forecast year. In this way, the electricity consumption considering only the influence of temperature and the electricity consumption affected by the Spring Festival are predicted step by step, and combined with the electricity consumption of the Spring Festival influence period of historical years, the electricity demand during the Spring Festival is more accurately predicted, which helps power supply companies to better plan and dispatch electricity during the Spring Festival influence period. Since the industrial structure and residents' living habits will change to a certain extent over a long period of time, the values ​​close to the forecast year are more meaningful for reference. Therefore, when using historical data to calculate the forecast year, the time attenuation coefficient is introduced to correct the electricity consumption of the Spring Festival influence period considering the influence of the Spring Festival in historical years, so as to obtain the electricity consumption of the Spring Festival influence period considering the influence of the Spring Festival in the forecast year, which is more accurate and in line with reality.

[0083] The above descriptions are merely embodiments of the present invention and are not intended to limit the patent scope of the present invention. Any equivalent transformations made using the contents of the present invention's description and drawings, or directly or indirectly applied in related technical fields, are also included in the patent protection scope of the present invention.

Claims

1. A method for predicting power demand during the Spring Festival, characterized in that: Including steps: Obtain winter electricity consumption data, winter meteorological data, and whether it is a working day, excluding the Spring Festival period; Using the winter electricity consumption data, the winter meteorological data, and the attribute of whether it is a working day to train a BP neural network model to obtain a power demand forecasting model; Get meteorological data and whether it is a working day during the Spring Festival period in historical years; Inputting the meteorological data of the Spring Festival influence period of the historical year and the attribute of whether it is a working day into the power demand forecasting model, and outputting the power consumption during the Spring Festival influence period of the historical year without considering the influence of the Spring Festival; Obtain the actual electricity consumption during the Spring Festival period in historical years; The electricity consumption during the Spring Festival period in the historical year that takes the Spring Festival into account is obtained based on the electricity consumption during the Spring Festival period in the historical year that does not take the Spring Festival into account and the actual electricity consumption during the Spring Festival period in the historical year, including: ， ； Where, represents the electricity consumption during the Spring Festival period i in historical year T, taking into account the impact of the Spring Festival. represents the electricity consumption during the Spring Festival period i in historical year T without considering the impact of the Spring Festival, represents the actual electricity consumption on day i during the Spring Festival influence period in historical year T; Inputting the forecast data of the Spring Festival influence period of the forecast year into the power demand forecast model, and outputting the power consumption during the Spring Festival influence period of the forecast year without considering the influence of the Spring Festival, wherein the power demand forecast model does not consider the influence of the Spring Festival and only considers the influence of temperature; Obtain the electricity consumption during the Spring Festival period in historical years taking into account the impact of the Spring Festival; The electricity consumption during the Spring Festival period of the historical year is corrected using the time attenuation coefficient to obtain the electricity consumption during the Spring Festival period of the forecast year; The predicted electricity consumption during the Spring Festival impact period of the predicted year is calculated based on the electricity consumption during the Spring Festival impact period considering the impact of the Spring Festival in the predicted year and the electricity consumption during the Spring Festival impact period not considering the impact of the Spring Festival in the predicted year.

2. The method for predicting power demand during the Spring Festival according to claim 1, characterized in that: The method of inputting the forecast data of the Spring Festival influence period of the forecast year into the power demand forecast model and outputting the power consumption of the Spring Festival influence period of the forecast year without considering the impact of the Spring Festival includes: The predicted meteorological data of the Spring Festival influence period of the forecast year and the attribute of whether it is a working day are input into the power demand forecast model, and the power consumption during the Spring Festival influence period of the forecast year without considering the impact of the Spring Festival is output.

3. The method for predicting power demand during the Spring Festival according to claim 1, characterized in that: The time attenuation coefficient is used to correct the electricity consumption during the Spring Festival period of the historical year, and the electricity consumption during the Spring Festival period of the forecast year is obtained by taking into account the influence of the Spring Festival. ； Where, represents the electricity consumption during the Spring Festival period i in the forecast year T0, taking into account the impact of the Spring Festival. represents the electricity consumption during the Spring Festival period i in historical year t, T represents the set of historical years, represents the time decay coefficient.

4. The method for predicting power demand during the Spring Festival according to claim 3, characterized in that: The calculation of the predicted electricity consumption during the Spring Festival period of the forecast year based on the electricity consumption during the Spring Festival period of the forecast year considering the influence of the Spring Festival and the electricity consumption during the Spring Festival period of the forecast year not considering the influence of the Spring Festival includes: ， ； Where, represents the predicted electricity consumption on day i during the Spring Festival influence period in the forecast year T0, It represents the electricity consumption on day i during the Spring Festival impact period in the forecast year T0 without considering the impact of the Spring Festival.

5. The method for predicting power demand during the Spring Festival according to claim 1, characterized in that: Also includes: The 15th day of the 12th lunar month to the 25th day of the 1st lunar month is determined as the Spring Festival impact period.

6. A terminal for predicting power demand during the Spring Festival, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that: When the processor executes the computer program, the processor implements the various steps of the method for predicting electricity demand during the Spring Festival according to any one of claims 1 to 5.

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