Power supply configuration optimization device and power supply configuration optimization method

Abstract

To provide a power source configuration optimizing device capable of determining an optimum power source configuration for power demands on a nationwide scale.SOLUTION: A power source configuration optimizing device 1 includes: a storage unit 112 that stores a demand database 125 about power demands in a plurality of power areas that are connected via a connection line, a power source database 122 about a plurality of types of power sources installed in each of the power areas, a facility capacity database 123 about the capacities of the power sources and the connection line, and a fuel database 124 about fuel for the power sources; and a calculation unit 113 that creates a mathematical model using, as a parameter, data stored in the storage unit, calculates an optimum solution of the mathematical model, and determines an optimum power source configuration indicating a ratio of a power source capacity of each power source type with respect to the whole power source capacity in each of the power areas on the basis of the optimum solution.SELECTED DRAWING: Figure 1

Description

[Technical Field]

[0001] An embodiment of the present invention relates to a power supply configuration optimization device and a power supply configuration optimization method. [Background technology]

[0002] In general, a power supply configuration optimization device is a device that determines the power supply capacity for each power source type so as to minimize the total cost of power sources while ensuring a necessary and sufficient power supply capacity for power demand. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] Japanese Patent Application Publication No. 8-314882 Summary of the Invention [Problem to be solved by the invention]

[0004] Multiple power areas under the jurisdiction of multiple electric power companies in each region of the country are connected to each other by interconnection lines. This makes it possible to exchange electricity and other resources between regions using the interconnection lines. However, conventional power supply configuration optimization systems do not take this inter-regional exchange into consideration. As a result, the power supply configuration is not optimized on a nationwide scale.

[0005] The problem to be solved by the present invention is to provide a power supply configuration optimization device and a power supply configuration optimization method that are capable of determining an optimal power supply configuration on a nationwide scale in response to power demand. [Means for solving the problem]

[0006] A power supply configuration optimization device according to one embodiment includes a memory unit that stores demand data related to power demand in a plurality of power areas connected by interconnection lines, power supply data related to a plurality of types of power sources installed in each of the plurality of power areas, installed capacity data related to the capacity of the power sources and interconnection lines, and fuel data related to the fuel for the power sources, and a calculation unit that creates a mathematical model using the data stored in the memory unit as parameters, calculates an optimal solution for the mathematical model, and determines an optimal power supply configuration that indicates the ratio of the power supply capacity of each power source type to the total power supply capacity in each power area based on the optimal solution. [Effects of the Invention]

[0007] According to this embodiment, it is possible to determine the optimum power supply configuration for the power demand on a nationwide scale. [Brief explanation of the drawings]

[0008] [Figure 1] 1 is a block diagram showing an example of the configuration of a power supply configuration optimizing device according to a first embodiment. [Figure 2] FIG. 2 is a diagram illustrating an example of a table configuration of a power system database. [Figure 3] FIG. 1 is a diagram illustrating an overview of power areas and interconnection lines. [Figure 4] FIG. 4 is a diagram illustrating an example of a table configuration of a power supply database. [Figure 5] FIG. 2 is a diagram illustrating an example of a table configuration of an installed capacity database. [Figure 6] FIG. 2 is a diagram showing an example of a table configuration of a fuel database; [Figure 7] FIG. 2 is a diagram illustrating an example of a table configuration of a demand database. [Figure 8] FIG. 2 is a diagram illustrating an example of a table configuration of a renewable energy power generation database. [Figure 9] This figure shows the relationship between power, reserve capacity, and LFC adjustment capacity exchanged between power areas via interconnection lines. [Figure 10] FIG. 2 is a diagram illustrating an example of an optimal power supply configuration according to the first embodiment. [Figure 11] 3 is a flowchart showing an example of the flow of a simulation process by the power supply configuration optimizing device according to the first embodiment. [Figure 12] FIG. 10 is a block diagram showing an example of the configuration of a power supply configuration optimizing device according to a second embodiment. [Figure 13] 1 is a graph showing output suppression rates of photovoltaic power generation and wind power generation. [Figure 14] FIG. 10 is a block diagram showing an example of the configuration of a power supply configuration optimizing device according to a third embodiment. DETAILED DESCRIPTION OF THE INVENTION

[0009] DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, embodiments of the present invention will be described with reference to the accompanying drawings. The present invention is not limited to the following embodiments.

[0010] (First embodiment) 1 is a block diagram showing an example of the configuration of a power supply configuration optimizing device according to the first embodiment. The power supply configuration optimizing device 1 according to this embodiment includes a receiving unit 111, a storage unit 112, a calculation unit 113, and a display unit 114. The power supply configuration optimizing device 1 can be realized, for example, by a computer device that operates according to a program stored in the storage unit 112.

[0011] The reception unit 111 functions as a communication interface that receives various information and commands input from outside the power supply configuration optimizing device 1.

[0012] The storage unit 112 is configured by, for example, a hard disk. The storage unit 112 stores a power system database 121, a power source database 122, an installed capacity database 123, a fuel database 124, a demand database 125, a renewable energy power generation database 126, an optimal power source configuration database 130, a power generation plan database 131, an interconnection line usage plan database 132, an equipment availability database 133, and an output suppression database 134. Each database will be described below.

[0013] 2 is a diagram showing an example of the table configuration of the power system database 121. The power system database 121 stores information about the power areas and interconnection lines of the power system whose power source configuration is to be optimized. Specifically, the power system database 121 has a power area table and an interconnection line table.

[0014] The power area table stores area names that identify each power area, while the interconnection line table stores interconnection line names that identify the interconnection lines and the connection areas to which each interconnection line connects, in association with each other.

[0015] Fig. 3 is a diagram illustrating an overview of power areas and interconnection lines. As shown in Fig. 3, in this embodiment, Japan is divided into nine power areas, from Hokkaido area a1 to Kyushu area a9, in correspondence with the areas under the jurisdiction of electric power companies. Note that the power areas shown in Fig. 3 are an example, and the division of power areas is not limited to this. Also, as shown in Fig. 3, adjacent power areas among the nine power areas are connected to each other by ten interconnection facilities, from interconnection line l1 connecting Hokkaido and Honshu to interconnection line l10 connecting Chugoku and Kyushu.

[0016] Fig. 4 is a diagram showing an example of the table configuration of the power source database 122. In the power source database 122 shown in Fig. 4, "power source type name," "power generation cycle / efficiency," "in-house rate," "years of operation," "capacity factor upper limit (annual average)," "construction cost," "annual capital expense rate," "O&M cost (annual expense rate)," and "storage capacity" are defined as items of power source data related to multiple types of power sources installed in each power area. The power source data classified under each item is stored in association with each other.

[0017] The power source type name indicates the type of power source, such as nuclear power or thermal power, for which the power source mix is being optimized. Power generation cycle efficiency indicates the conversion efficiency of converting fuel's calorific value into electric energy in nuclear and thermal power plants, as well as the cycle efficiency, taking into account losses during power storage in pumped storage and battery storage. The on-site rate indicates the proportion of power used within the power plant. The operating years indicate the expected operating years. The capacity utilization limit indicates the ratio of the maximum annual power generation capacity of each power source type to 8,760 hours. The construction cost indicates the construction cost per kW of installed capacity for each power source. The capital expense rate and O&M cost (annual expense rate) indicate the ratio of construction costs per year taking into account the operating years, and the ratio of annual O&M costs to construction costs, respectively. The storage capacity indicates the length of time that pumped storage and battery storage can store power relative to output.

[0018] FIG. 5 is a diagram showing an example of the table configuration of the installed capacity database 123. The installed capacity database 123 shown in FIG. 5 has a power source capacity table and an interconnection line capacity table. The power source capacity table stores upper and lower limit values of the installed capacity of each power source type for each power area. Meanwhile, the interconnection line capacity table stores the operating capacity and margin for each power flow direction of each interconnection line. The operating capacity is the upper limit value of the transmission capacity in each power flow direction of each interconnection line, and is a capacity determined from the thermal capacity of the interconnection line and the stability of the power system. Furthermore, the margin is the transmission capacity of the operating capacity that is secured to maintain the stability of the power system, etc.

[0019] Fig. 6 is a diagram showing an example of the table configuration of the fuel database 124. In the fuel database 124 shown in Fig. 6, "fuel price," "calorific value," and "carbon (CO2) emission coefficient" are set as fuel data items. The fuel data for each item is stored in association with the fuel type.

[0020] Fig. 7 is a diagram showing an example of a table configuration of the demand database 125. The demand database 125 shown in Fig. 7 stores demand data indicating the power demand in each power area at a set date and time.

[0021] Fig. 8 is a diagram showing an example of a table configuration of the renewable energy power generation database 126. The renewable energy power generation database 126 shown in Fig. 8 stores power generation plans for various types of renewable energy at an estimated date and time for each power area.

[0022] The optimum power supply configuration database 130 stores the optimum power supply configuration for each power area calculated by the calculation unit 113. The method of calculating the optimum power supply configuration by the calculation unit 113 will be described later.

[0023] The power generation plan database 131 stores a power generation plan created by the calculation unit 113 based on the optimal power supply configuration. The contents of the power generation plan will be described later.

[0024] The interconnection line utilization plan database 132 stores utilization plans for the utilization dates and times of the interconnection lines 11 to 11 and the operational capacities shown in FIG.

[0025] The facility availability database 133 stores the availability of power supply facilities (power generation facilities) in each power area for each type of power source.

[0026] The output suppression database 134 stores output suppression rates of naturally variable power sources such as photovoltaic power generation and wind power generation. The output suppression rates are calculated by the calculation unit 113.

[0027] The data and values stored in each of the above databases are merely examples and are not limited to these.

[0028] 1, the calculation unit 113 has a model creation unit 140, an optimization calculation unit 141, and an evaluation index calculation unit 142. Each unit of the calculation unit 113 will be described below.

[0029] The model creation unit 140 has a function of creating a power supply configuration optimization model (linear optimization problem) defined by the following equations (1) to (11), and specifically has an area model creation unit 150 and an interconnection line model creation unit 151.

[0030] The area model creation unit 150 creates a mathematical model defined by the following equations (1) to (9). Equation (1) is a mathematical model (first mathematical model) that indicates an objective function related to the total cost obtained by adding up the power source costs of each type for each power area. Equations (2) to (9) are mathematical models (second mathematical model) that indicate constraints related to the objective function.

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[0031] The first term in equation (1) represents fixed costs, and the second term represents variable costs. Fixed costs represent the annual expenses, which are the sum of construction costs and O&M costs. Variable costs are fuel costs. Fuel costs are calculated by multiplying the fuel unit price of each fuel by the fuel consumption amount shown in equation (2).

[0032] Other constraints are shown in the following equations (3) to (9).

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[0033] Equation (3) is a constraint that represents the supply-demand balance where the sum of the power generated by each power source at each time in each power area matches the power demand. The supply-demand balance takes into account the interchange that flows in and out via interconnection lines. In addition, as shown in equations (4) and (5), output suppression of solar and wind power generation is taken into account.

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[0034] Equation (6) is a constraint condition that expresses the reserve constraint that the operating capacity of facilities at each time exceeds the sum of the power demand and the reserve power multiplied by the required reserve margin. This reserve power only takes into account a portion of naturally variable power sources such as solar power and wind power. The reserve power also takes into account the interchange portion that flows in and out via interconnection lines.

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[0035] Equation (7) is the LFC adjustability constraint that the LFC supply exceeds the LFC requirement in each power area. As shown in equation (8), the LFC supply takes into account not only the supply from the power source but also the interchange via interconnection lines. Furthermore, as shown in equation (9), the LFC requirement is the short-term fluctuation of solar power generation, wind power generation, and power demand. Note that to make the problem easier to solve, equation (9) may be a linear approximation on multiple planes.

[0036] Furthermore, the interconnection line model creation unit 151 of the model creation unit 140 creates the following equations (10) and (11) as a mathematical model indicating constraint conditions related to the interconnection line.

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[0037] Figure 9 is a diagram showing the relationship between power, supply capacity, and LFC adjustment capacity exchanged between power areas via interconnection lines. Equation (10) is a constraint stating that the sum of power exchanged between power areas and LFC adjustment capacity does not exceed the interconnection line's operating capacity minus a margin. Equation (11) is a constraint stating that the sum of supply capacity and LFC adjustment capacity does not exceed the interconnection line's operating capacity minus a margin.

[0038] The optimization calculation unit 141 performs optimization calculations to solve the power supply configuration optimization model created by the model creation unit 140. The optimization calculation unit 141 also stores the calculation results in the storage unit 112. Specifically, the optimization calculation unit 141 calculates an optimal solution that minimizes the value of equation (1), which is the objective function, within a range that satisfies constraints (2) to (11). The optimal power supply configuration and the cost, which is the objective function value, calculated by the optimization calculation unit 141 are stored in the optimal power supply configuration database 130 in the storage unit 112.

[0039] Fig. 10 is a diagram showing an example of an optimal power supply configuration according to this embodiment. Power areas A to J shown in Fig. 10 correspond to any of Hokkaido area a1 to Kyushu area a9 shown in Fig. 3. This optimal power supply configuration shows the ratio of power supply capacity by power source type to the total power supply capacity in each power area.

[0040] The optimization calculation unit 141 calculates the optimal power supply configuration for each power area, and at the same time creates a daily power generation plan for each power area in units of one hour. The created power generation plan is stored in the power generation plan database 131 of the storage unit 112. In this power generation plan, a breakdown of the amount of power generation at each time is planned for each power source type.

[0041] Similarly to the power generation plan, the optimization calculation unit 141 also creates a daily reserve power plan and a daily LFC adjustment power plan. In this reserve power plan, a breakdown of the reserve power at each time is planned for each power source type in hourly units. In addition, in this LFC adjustment power plan, a breakdown of the LFC adjustment power at each time is planned for each power source type in hourly units.

[0042] Furthermore, the optimization calculation unit 141 also creates an interchange plan for one day's worth of power, supply capacity, and LFC adjustment capacity to be interchanged between two adjacent power areas via an interconnection line. The created interchange plan is stored in the interconnection line usage plan database 132 in the storage unit 112. In this interchange plan, the values of power, supply capacity, and LFC adjustment capacity for each hour are positive if the value interchanged from the reference power area a to the adjacent power area aadj shown in Figure 9 is greater than the value interchanged from the adjacent power area aadj to the reference power area a, negative if less, and zero if the values are the same.

[0043] 1, the evaluation index calculation unit 142 calculates an index for evaluating the power supply configuration from various planned values such as the optimal power supply configuration and the power generation plan obtained by the optimization calculation unit 141. The evaluation index calculation unit 142 also stores the calculated index in the output suppression database 134 of the storage unit 112. Specific examples of the index include the output suppression rate of photovoltaic power generation and wind power generation.

[0044] The evaluation index calculation unit 142 performs the above calculations by performing simulations for multiple cases with different setting conditions and comparing the results, thereby making it possible to evaluate the effectiveness of various solutions in the power system. For example, the evaluation index calculation unit 142 can evaluate the effectiveness of inter-regional power interchange using interconnection lines by comparing the amount of cost reduction and the amount of output suppression of naturally variable power sources with a case where the operational capacity of the interconnection line is set to zero. In this case, the evaluation index calculation unit 142 uses, for example, the output suppression amounts of photovoltaic power generation and wind power generation as the output suppression amounts of naturally variable power sources to be compared.

[0045] Following the calculation unit 113 described above, the display unit 114 will be described. The display unit 114 displays the optimal power supply configuration, various plans such as power generation plans, and evaluation results calculated by the calculation unit 113 as simulation results. The display unit 114 is configured with a display device such as a liquid crystal display. Note that the display unit 114 is provided inside the power supply configuration optimization device 1, but may also be provided outside the power supply configuration optimization device 1. In other words, the display unit 114 may be a display device independent of the power supply configuration optimization device 1.

[0046] Next, the flow of the simulation process performed by the power supply configuration optimizing device 1 according to this embodiment will be described.

[0047] FIG. 11 is a flowchart showing an example of the flow of simulation processing by the power supply configuration optimizing device 1 according to this embodiment.

[0048] 11, first, the receiving unit 111 receives input of setting conditions of the power system to be optimized from outside the power supply configuration optimizing device 1 (step S1). Next, the receiving unit 111 sends the received setting conditions to the calculation unit 113.

[0049] Next, the model creation unit 140 of the calculation unit 113 sets values acquired from each database stored in the storage unit 112 to the parameters of the above-mentioned formulas (1) to (11) based on the setting conditions sent from the reception unit 111 (step S2). In this way, a power supply configuration optimization model is set.

[0050] Next, the optimization calculation unit 141 of the calculation unit 113 calculates an optimal solution that minimizes the value of the objective function (1) while satisfying the constraints of the equations (2) to (11) (step S3). The optimal power supply configuration for each power area is determined based on this optimal solution.

[0051] Next, the evaluation index calculation unit 142 of the calculation unit 113 calculates the ratio of equipment cost, fuel cost, output suppression amount, etc. as evaluation indexes of the power source configuration based on the value of the optimal solution calculated by the optimization calculation unit 141 and the parameter values (step S4).

[0052] Next, the evaluation index calculation unit 142 stores the calculated values of the various evaluation indexes in association with the set conditions in each database of the storage unit 112 (step S5).

[0053] Finally, the display unit 114 displays the simulation results calculated by the calculation unit 113 (step S6).

[0054] In the embodiment described above, the storage unit 112 stores demand data, power source data, and fuel data, as well as facility capacity data related to the capacities of power sources and interconnection lines. Furthermore, in the calculation unit 113, the model creation unit 140 creates a mathematical model incorporating constraints related to interconnection lines, and the optimization calculation unit 141 calculates an optimal solution to the objective function within a range that satisfies these constraints. Furthermore, the optimal power source configuration for each power area is determined based on this optimal solution.

[0055] As described above, according to this embodiment, the power supply configuration for each power area is determined taking into consideration interchangeable power via interconnection lines, making it possible to optimize the power supply configuration on a nationwide scale.

[0056] Furthermore, for example, if it is expected that the amount of electricity supplied (power generation) in a certain region will be greater than necessary compared to the demand for electricity, a power supply configuration that does not take into account the interchange of power through interconnection lines will have to suddenly curb the output of naturally fluctuating power sources such as wind power and solar power in order to reduce the surplus power.

[0057] However, with the optimal power supply configuration that takes into account interchangeable power through interconnection lines as in this embodiment, the power supply configuration can be determined by adding the constraint of supplying power to other areas where supply is insufficient through interconnection lines. This makes it possible to avoid sudden output suppression of naturally fluctuating power sources, thereby enabling stable operation of power supply facilities.

[0058] (Second embodiment) Fig. 12 is a block diagram showing an example of the configuration of a power supply configuration optimizing device according to the second embodiment. Components similar to those in the first embodiment described above are given the same reference numerals, and detailed description will be omitted. In the power supply configuration optimizing device 2 shown in Fig. 12, an equipment renewal model creation unit 152 is newly provided within the model creation unit 140 of the calculation unit 113.

[0059] For example, when upgrading pumped storage power generation equipment, which is one type of power source, it is possible to change the system from fixed speed to variable speed. Here, fixed speed means that the rotation speed of the motor that pumps water from a reservoir to a dam is fixed, and variable speed means that the rotation speed is variable. Furthermore, pumped storage power generation in this embodiment can include not only pumped storage power generation using river water but also seawater pumped storage power generation using seawater.

[0060] The equipment renewal model creation unit 152 creates a model related to equipment renewal for pumped storage power generation. Specifically, the equipment renewal model creation unit 152 creates a constraint condition expressed by the following equation (12) regarding the installed capacity of fixed-speed pumped storage power generation.

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[0061] Furthermore, the fixed cost unit price of the power source can be set to a unit price that reflects the cost of upgrading from fixed-speed pumped storage.

[0062] The above formula (12) is added to the power generation mix optimization model. The optimization calculation unit 141 calculates an optimal solution that minimizes the value of formula (1), which is the objective function, within the range that satisfies the constraints (2) to (12). This makes it possible to calculate the optimal equipment upgrade capacity.

[0063] Furthermore, in this embodiment, the evaluation index calculation unit 142 can evaluate the effectiveness of fixed-speed pumped storage power generation by comparing the cases where the fixed-speed pumped storage power generation is changed to variable speed with the cases where the variable speed is not changed.

[0064] FIG. 13 is a graph showing the output suppression rates for solar power generation and wind power generation. In FIG. 13, Case 1 shows the output suppression rate when there is no power interchange between adjacent power areas. Case 2 shows the output suppression rate when power interchange as described in the first embodiment is performed, but when pumped-storage hydroelectric power generation equipment is updated, the fixed speed cannot be changed to variable speed. Furthermore, Case 3 shows the output suppression rate when the pumped-storage method can be changed from fixed speed to variable speed, as in this embodiment. Note that the output suppression rate for each case is the average value for all power areas. Comparing Case 1 and Case 2, it can be confirmed that power interchange contributes to reducing the output curtailment rate of solar and wind power generation. Furthermore, comparing Case 2 and Case 3, it can be confirmed that changing the pumping method from fixed speed to variable speed also contributes to reducing the output curtailment rate of solar and wind power generation.

[0065] According to the present embodiment described above, by adding a constraint to the power supply mix optimization model that changes the speed of pumped storage power generation from fixed to variable, the output suppression rates of photovoltaic power generation and wind power generation are reduced. This makes it possible to further optimize the power supply mix on a nationwide scale. It also makes it possible to increase the availability rate of pumped storage power generation facilities.

[0066] (Third embodiment) Fig. 14 is a block diagram showing an example of the configuration of a power supply configuration optimizing device according to the third embodiment. Components similar to those in the first embodiment described above are given the same reference numerals, and detailed description will be omitted. In the power supply configuration optimizing device 3 shown in Fig. 14, a CO2 emission model creation unit 153 is newly provided in the model creation unit 140 of the calculation unit 113.

[0067] The CO2 emission model creation unit 153 creates the following constraint equation (13) in order to impose a constraint on the amount of CO2 emissions due to power generation.

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[0068] The above formula (13) is added to the power supply configuration optimization model. The optimization calculation unit 141 calculates an optimal solution that minimizes the value of formula (1), which is the objective function, within the range that satisfies the constraints (2) to (13). This makes it possible to calculate a power supply configuration that reduces CO2 emissions.

[0069] In addition, in this embodiment, the evaluation index calculation unit 142 compares the optimal power supply configuration with and without CO2 emission constraints, making it possible to evaluate, for example, the effect of reducing CO2 emissions and the additional cost associated with reducing CO2 emissions.

[0070] In this embodiment, the objective function (1) of the power supply configuration optimization model is to minimize the power supply cost as shown in equation (1), but is not limited to this. For example, the CO2 emissions of the power supply may be set as the objective function as shown in equation (14) below.

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[0071] Furthermore, taking carbon pricing into consideration, the emission cost, which is a price attached to the CO2 emissions of the power source, may be set as an objective function added to the total cost of the power source, as shown in the following equation (15).

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[0072] Alternatively, the total cost of the power source may be considered as a constraint condition to be equal to or less than an upper limit value, rather than as an objective function, and in order to minimize the CO2 emissions of the power source, equation (14) may be used as the objective function and the following equation (16) may be set as the constraint condition. In this case, the optimization calculation unit 141 calculates, as the optimal solution, a value that minimizes the total CO2 emissions while satisfying the constraint condition that the fixed cost and variable cost of fuel are within an allowable range and do not exceed the upper limit value.

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[0073] According to the present embodiment described above, it is possible to construct a power supply configuration that minimizes CO2 emissions on a nationwide scale, thereby making it possible to provide a power supply configuration that contributes to the realization of carbon neutrality.

[0074] Although several embodiments have been described above, these embodiments are presented only as examples and are not intended to limit the scope of the invention. The novel system described in this specification can be embodied in various other forms. Furthermore, various omissions, substitutions, and modifications can be made to the forms of the system described in this specification without departing from the spirit of the invention. The appended claims and their equivalents are intended to cover such forms and modifications that fall within the scope and spirit of the invention.

Claims

1. a storage unit that stores demand data related to power demand in a plurality of power areas connected by interconnection lines, power source data related to a plurality of types of power sources installed in each of the plurality of power areas, installed capacity data related to the capacities of the power sources and the interconnection lines, and fuel data related to fuel for the power sources; a calculation unit that creates a mathematical model using the data stored in the storage unit as parameters, calculates an optimal solution for the mathematical model, and determines, based on the optimal solution, a power supply capacity for each power supply type in each power area and an optimal power supply configuration that indicates the ratio of the power supply capacity for each power supply type to the total power supply capacity; Equipped with the mathematical model includes a first mathematical model indicating an objective function to be minimized by the optimal power supply configuration, and a second mathematical model indicating at least one constraint condition related to the objective function, wherein the first mathematical model includes a fixed cost of the power source and a variable cost of the power source, and the second mathematical model includes a constraint condition that power interchange between the plurality of power areas is included; The calculation unit calculates the minimum value of the first mathematical model within a range that satisfies the constraint conditions as the optimal solution, and calculates the minimum value of the sum of the fixed costs and the variable costs within a range that satisfies the constraint conditions as the optimal solution.

2. The power supply configuration optimizing device according to claim 1 , wherein the second mathematical model also includes a constraint for changing a pumping method of pumped storage power generation from a fixed speed to a variable speed.

3. The fuel data includes the CO ２ Emission factors are included, The second mathematical model includes CO ２ CO of the fuel calculated using an emission factor ２ 3. The power supply configuration optimizing device according to claim 1, further comprising a constraint that the emission amount does not exceed a preset upper limit value.

4. The first mathematical model includes the CO ２ The total emissions include The power supply configuration optimizing device according to claim 3 , wherein the calculation unit calculates, as the optimal solution, a minimum value of the total within a range that satisfies the constraint condition.

5. The first mathematical model includes a fixed cost and a variable cost of the power source, and ２ and an emission cost corresponding to the amount of emissions, The power supply configuration optimizing device according to claim 3 , wherein the calculation unit calculates, as the optimal solution, a minimum value of the total of the fixed cost, the variable cost, and the discharge cost within a range that satisfies the constraint conditions.

6. the second mathematical model includes fixed and variable costs of the fuel; The calculation unit calculates the CO while satisfying a constraint that the total of the fixed cost and the variable cost is within an allowable range. ２ The power supply configuration optimizing device according to claim 4 , wherein a value that minimizes the total amount of emissions is calculated as the optimal solution.

7. storing demand data relating to power demand in a plurality of power areas connected by interconnection lines, power source data relating to a plurality of types of power sources installed in each of the plurality of power areas, installed capacity data relating to the capacities of the power sources and the interconnection lines, and fuel data relating to fuel for the power sources; creating a mathematical model using the stored data as a parameter, the mathematical model including a first mathematical model indicating an objective function to be minimized in an optimal power supply configuration indicating a ratio of power supply capacity for each power supply type to the total power supply capacity, and a second mathematical model indicating at least one constraint condition related to the objective function, the first mathematical model including a fixed cost of the power supply and a variable cost of the power supply, and the second mathematical model including a constraint condition that includes power interchange between the plurality of power areas; calculating a minimum value of the first mathematical model within a range that satisfies the constraint condition as an optimal solution of the mathematical model, wherein the minimum value of the sum of the fixed cost and the variable cost within a range that satisfies the constraint condition is calculated as the optimal solution; A power supply configuration optimization method that determines, based on the optimal solution, the power supply capacity for each power supply type in each power area and the optimal power supply configuration.

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