JP6283606B2 - Pump operation planning system and pump operation planning method - Google Patents

Description

  TECHNICAL FIELD The present invention relates to a pump operation planning system and a pump operation planning method, and more specifically, suitable power usage based on various conditions in a transmission and distribution system in response to various requests for power usage in an arbitrary time zone. The present invention relates to a technology that enables a plan to establish a form.

  There is a situation where resource costs remain high, and so-called demand response techniques are attracting attention that encourage power consumers to reduce demand and achieve peak cuts and leveling of power consumption. Therefore, the following techniques have been proposed as conventional techniques related to such demand response.

In other words, for the purpose of providing a peak shift water transmission plan that can respond to power saving requests, the power consumption in the transmission from the water purification pond to the distribution reservoir is shifted from the time zone where the power saving request is made, based on the power rate and the water level of the distribution reservoir A peak shift water supply planning method including a peak shift process (see Patent Document 1) has been proposed. In this technology, the amount of water delivered per day is planned based on the power rate table so that the peak will come at night, which is the time zone when the power rate is the cheapest. At this time, the amount of peak shift is determined so that it does not fall below the minimum water level and does not exceed the demand. After that, the lowest unit price end time and other water supply amount are determined based on the water level. If the water level cannot be maintained unless water is supplied during the maximum unit price period, water is supplied.

JP 2014-67405 A

  The distribution pond in the water distribution system that connects the water treatment plant and the water customer temporarily stores the water pumped from the water purification plant and supplies it to the downstream water distribution target via a pump. Is. In many cases, these reservoirs are designed with a sufficient capacity to prepare for emergency water supply such as partial outages due to large-scale disasters. For this reason, even if the water supply time zone is changed as in the prior art, it is easy to maintain the water level and is considered as one of the facilities that can easily respond to power saving requests.

  However, conventionally, the water transmission plan is configured based on a specific time zone defined in the power rate table, and it is difficult to flexibly respond to a power saving request for an arbitrary time zone. If such a power-saving request is for the very near future, for example 5 minutes away, the difficulty will be further increased and it will not be possible to respond in practice.

  In addition, when paying attention to power charges, but planning without taking into account each important condition in the transmission and distribution system, such as the upper and lower limit water levels of the distribution reservoirs that should change over time and the amount of water that can be transferred, the location of each distribution reservoir There is also a problem that it is impossible to obtain the plan contents according to the actual configuration of the water transmission and distribution system such as the connection form between the distribution reservoirs and the operation form of the pump.

  On the other hand, contrary to the demand response described above, there is a case where an excessive power consumption request is made in the power transmission system due to an increase in an unstable power generation form using renewable energy. It is not possible to make a plan in response to such a situation.

  Therefore, an object of the present invention is to provide a technique that can make a plan for establishing a suitable power usage form based on each condition in a transmission and distribution system in response to various requests for power usage in an arbitrary time zone. It is in.

  The pump operation planning system of the present invention that solves the above problems includes a water purification pond and a water distribution pond of a water transmission / distribution system, a storage device that stores information on a pump that supplies water from the water purification pond to the water distribution pond, and a predetermined power saving Based on the request and each information, regarding the power saving time zone indicated by the power saving request, the number of operating pumps every predetermined time is a decision variable, and the sum of the average power consumption of each pump for a predetermined time at each time in the power saving time zone And the estimated water level for each reservoir based on the predicted water demand at each time in the distribution territory responsible for each reservoir and the number of operating pumps that supply water to the reservoir. An arithmetic unit that determines a planned value of the number of operating pumps in the power saving time zone by a mathematical programming algorithm under a constraint condition to be satisfied. To.

  In the pump operation planning method of the present invention, a computer system including a storage pond of a water purification pond and a water distribution pond of a water transmission / distribution system and a pump that supplies water from the water purification pond to the water distribution pond is a predetermined system. Based on the power saving request and the information, the number of operating pumps at a predetermined time is determined as a variable for the power saving time zone indicated by the power saving request, and the average power consumption of the pump for a predetermined time at each time in the power saving time zone The estimated water level of each reservoir based on the predicted water demand at each time in the distribution territory responsible for each reservoir and the number of pumps operating to the relevant reservoir is calculated as the objective function. A planned value of the number of operating pumps in the power saving time zone is determined by a mathematical programming algorithm under a constraint condition that the lower limit is to be satisfied.

  ADVANTAGE OF THE INVENTION According to this invention, the plan which respond | corresponds to the various request | requirements of the electric power use in arbitrary time zones, and establishes the suitable electric power usage form based on each condition in a transmission and distribution system is attained.

It is a figure showing an example of composition of a transmission and distribution system to which pump operation planning technology of this embodiment is applied. It is a figure which shows the structural example of the pump operation planning system in this embodiment. It is a figure which shows the structural example of the demand amount database in this embodiment. It is a figure which shows the structural example of the weather information database in this embodiment. It is a figure which shows the structural example of the equipment information database in this embodiment. It is a flowchart which shows the process procedure example 1 of the pump operation planning method in this embodiment. It is a figure which shows the example of a pump operation plan at the time of the electric power tightness planned in this embodiment. It is a figure which shows the example of the operation minimum water level in this embodiment. It is a figure which shows Example 1 of the connection form of the distribution reservoir in this embodiment. It is a figure which shows Example 2 of the connection form of the distribution reservoir in this embodiment. It is a figure which shows the comparative example of the average power consumption in the pump operation plan planned for every period in this embodiment. It is a figure which shows the example of a relationship between the water level change according to the pump driving | operation in this embodiment, and an operation | movement minimum water level. It is a figure which shows the pump operation plan which makes a water level an operation upper limit in this embodiment. It is a flowchart which shows the process procedure example 2 of the pump operation planning method in this embodiment. It is a figure which shows the example of a pump operation plan corresponding to the time of a power surplus in this embodiment. It is a figure which shows the system configuration example at the time of mounting the pump operation planning system in this embodiment in the cloud.

--- Example of water transmission and distribution system ---

  First, a transmission and distribution system to which the pump operation planning technology of the present embodiment is applied will be described. FIG. 1 is a diagram illustrating a configuration example of a transmission and distribution system 100 to which the pump operation planning technology of the present embodiment is applied. The water supply / distribution system 100 illustrated here is a water purification plant 2 that purifies water obtained from a water source 1 by a water intake pump 10 via a water conduit 110, a water purification tank 3 that temporarily stores water purified in the water purification plant 2, A plurality of distribution reservoirs 4 that receive and store water supplied from the pond 3 by the water pumps 11 to 13 of the water pump stations A to C via the water pipes 101, 102, and 103 and supply the water to downstream water consumers. To 6 at least. In the following description, when it is not necessary to distinguish between the reservoirs, the reservoir 4 is described as a representative. Similarly, when it is not necessary to distinguish between the water pumping stations, the water pumping station A is described as a representative. In addition, when it is not necessary to distinguish between the water pumps, the water pump 11 is described as a representative. An area where each of the reservoirs 4, 5, 6 is responsible for supplying water is referred to as a distribution area. The water users mentioned above are located in this distribution area.

  In addition, each of the water reservoirs 4 to 6 and each water consumer are connected via water pipes 104, 105, and 106, respectively. Although the distribution form to the water consumer by this distribution pipe 104,105,106 assumed the thing using gravity energy, when the distribution reservoirs 4-6 are in the lowland from the location of the amount of water demand, it is appropriate. The distribution form using a distribution pump will be adopted. Moreover, the water pump in each water pump station mentioned above is, for example, a fixed speed pump, and the flow rate in the corresponding route can be controlled by the number of water pumps operated in parallel. That is, each of the water pumping stations A to C includes a plurality of water pumps.

  1 is merely an example, and a system in which the distribution reservoir 4, the water pumping station A, and the water pump 11 are arranged more than the configuration example of FIG. 1 may be used. Further, a configuration in which two reservoirs 4 are connected may be assumed.

--- Configuration of pump operation planning system ---

  Next, a configuration example of the pump operation planning system 2000 in the present embodiment will be described. FIG. 2 is a diagram illustrating a configuration example of the pump operation planning system 2000 according to the present embodiment. A pump operation planning system 2000 shown in FIG. 2 formulates a water pump operation plan for each water pump station for the water distribution system 100 illustrated in FIG. 1, and responds to various requests for power use in an arbitrary time zone. Thus, the computer system enables the planning of a suitable power usage pattern based on each condition in the transmission and distribution system 100.

  In addition, the pump operation planning system 2000 according to the present embodiment is communicably connected to the monitoring control system 211 and the LAN 210 as shown in FIG. The monitoring control system 211 is a system that performs pump operation control in the above-described water supply and distribution system 100 and measures the water level of the distribution reservoir 4. Therefore, the pump operation planning system 2000 can acquire the observation values (may include the past log) of each facility in the transmission and distribution system 100 from the monitoring control system 211. The observed values correspond to the water levels in the water purification tank 3 and the distribution pond 4, the operation status of the water pumps at each water pump station, and the like.

  The hardware configuration of such a pump operation planning system 2000 is as follows. The pump operation planning system 2000 is configured as a general computer having a communication function, and includes a processor 200 that is an appropriate arithmetic device such as a CPU, a memory 201 that is a storage device such as a ROM, a RAM, and a flash memory, a keyboard, Data input means 202 including an input device such as a mouse and a touch panel, output means 205 including an output device such as a display monitor and a printer, and communication means 209 such as a communication module such as a network interface card are provided.

  Among them, the processor 200 described above is a device that implements the demand prediction unit 203 and the operation plan drafting unit 204 as functions necessary for the pump operation planning system 2000 by executing a program stored in the memory 201. That is, the substance of the demand forecasting means 203 and the operation planning means 204 exemplified in FIG. 2 is a program. Further, the memory 201 stores various data used for arithmetic processing by the processor 200, and a demand amount database 206 (see FIG. 3) that stores history data of the amount of water distributed from the distribution reservoir 104 to water consumers. , A weather information database 207 (see FIG. 4) that accumulates past meteorological data relating to each water distribution area, and the upper and lower water levels of operation of each water reservoir 4 in the water distribution system 100, the cross-sectional area of the water reservoir, the water conduit, the water pipe, The facility information database 208 (see FIG. 5) that stores information on the upper and lower limits of the flow rate of the distribution pipe and the pump performance information (rated power, rated flow rate, lift, flow rate during pump operation, power consumption, etc.) Yes.

  A planner who makes a pump operation plan using such a pump operation planning system 2000 uses the above-described data input means 202 to save time of power received from a power company, that is, a time zone for preparing a pump operation plan. Predicted time zone including the time zone indicated by the request or consumption request (eg, 13:00 to 16:00), time interval of pump operation plan (eg: every 15 minutes, every 30 minutes, every hour), water demand forecast Each value such as a prediction period (e.g., from 0:00 to 24:00 on the next day) and a prediction cycle (e.g., every 15 minutes or every hour) is designated.

  On the other hand, the above-described demand prediction unit 203 uses each information input from the planner through the data input unit 202 and information stored in the demand amount database 206 and the weather information database 207 of the memory 201, respectively. Then, the water demand is predicted at each time concerning the water distribution areas of each reservoir 4 in the prediction period designated by the planner. As a method for forecasting water demand here, water demand data at the same time of the forecast period and the same period (eg, same month, same season, etc.) of the stored data in the demand quantity database 206 is used. A pattern matching method or the like that specifies data relating to the time of the same weather conditions as the weather forecast value obtained for the water demand as the water demand forecast value at each time in the watershed can be adopted. In addition, various known prediction methods such as a multiple regression method and a neural network method may be used as appropriate.

  The operation planning unit 204 also predicts the water demand predicted value for each time predicted by the above-described demand prediction unit 203, the operation upper and lower limit water level information of each reservoir 4 stored in the facility information database 208, and each Information on the power consumption of the water pump at the water pump station, information on the latest water level of the distribution reservoir 4 obtained from the monitoring control system 211 via the communication means 210, and the number of water pumps operating at each water pump station, and data input means 202 Using the information such as the predetermined time zone for the pump operation plan and the time increment of the pump operation plan, the future pump operation plan specified by the above-mentioned power saving request and consumption request (the number of water pumps operating at each water pump station) Develop a plan).

In the present embodiment, first, an operation plan that suppresses the power consumption by the water pumps at each water pump station in the above-described predetermined time zone as much as possible is formulated. That is, an example in which a pump operation plan corresponding to a power saving request (DR request: demandless pump request) from a power company or a power aggregator is first described.
--- Example of processing procedure 1 ---

  Hereinafter, the actual procedure of the pump operation planning method in the present embodiment will be described with reference to the drawings. Various operations corresponding to the pump operation plan described below are realized by a program in the memory 201 in the pump operation plan system 20000. And this program is comprised from the code | cord | chord for performing the various operation | movement demonstrated below.

  FIG. 6 is a flowchart showing a processing procedure example 1 of the pump operation planning method in the present embodiment, and FIG. 7 is a diagram showing an example of a pump operation plan at the time of power shortage planned in the present embodiment. Here, the process of the pump operation planning method will be described based on the example of the pump operation plan shown in FIG.

First, in step 401, the pump operation planning system 2000 demand prediction means 203 uses the data input means 202 to determine a predetermined time zone (for example, from 13:00 to 16:00) for which a pump operation plan is to be formulated, or a time interval of the pump operation plan. (Examples: every 15 minutes, every 30 minutes, every hour), forecast periods of water demand (eg, from 0:00 to 24:00 on the next day) and forecast cycles (eg: every 15 minutes, every hour) Read input information.

  Subsequently, in step 402, the demand forecasting means 203 uses the information in the demand volume database 206 and the weather information database 207, and uses the appropriate algorithm according to the existing method described above for each water distribution area in the forecast period. Predict water demand for each forecast cycle.

Next, in step 403, the operation planning means 204, as described above, the information in the facility information database 208, the predicted water demand amount obtained from the demand prediction means 203, and the transmission / distribution system 100 obtained from the monitoring control system 211. Using information, the following formulas 1 to 10
Solve the operational planning problem shown in.

  In step 404, the operation plan drafting means 204 displays on the output means 205 information on the solution of the operation plan problem obtained in step 403 described above, that is, information on the operation plan (number of units operated) of the water pumps at each water pump station. Present it to the planner. The pump operation plan presented here minimizes the maximum power consumption of the water pumps at each water pump station in the time zone when the demand response is requested (power saving time zone: DR request time zone). It will be the planned value that will limit the power consumption of the water pump.

  FIG. 7 shows an example of the result of formulating the pump operation plan. Here, in addition to the graphs 302, 304, and 306 of the number of water pumps operating at each of the water pump stations A to C, which are the results of formulation of the pump operation plan, the water level of each of the water reservoirs A to C (corresponding to the water reservoirs 4 to 6) It is assumed that the graphs of 301, 303, 305 and the total water pump power consumption 307 of each water pump station A to C are arranged in parallel with the time axis aligned. It is assumed that the gray-out portion in each graph is the DR request time zone 300, and that a power-saving request is received from an electric power company immediately before that time zone (for example, 5 minutes before). Further, it is assumed that the time width of the DR request time zone 300 is, for example, 3 hours.

In this case, at the water pumping station A, the first two hours from the start of the DR request time zone 300 are scheduled to turn off each water pump (the number of operating units is 0). In addition, at the water pump station B, it is planned to turn off each water pump (the number of operating units is 0) for the first and last hour in the DR request time zone 300. In addition, at the water pumping station C, it is planned to turn off each water pump (the number of operating units is 0) for the last two hours in the DR request time zone 300. In any of the water pump stations, the water level in the distribution reservoir targeted for water supply falls below the operation lower limit (dotted line in the corresponding graph in FIG. 7) by operating the water pump for one hour out of the three hours that are the DR request time zone 300. It is planned not to.

  As shown in the example of pump operation plan in FIG. 7, the water pumps at each water pump station in the DR request time zone 300 are planned so that the operation timings of the water pumps at the three water pump stations do not overlap at the same time. It is possible to suppress the peak of the total power consumption 307, which is the total power consumption. That is, the total power consumption of the water pump in the DR request time zone 300 can be minimized.

  In order to make a pump operation plan strictly based on the concept described above, the pump operation plan system 2000 solves the mathematical planning problems shown in the following formulas 1 to 10 to formulate a water pump operation plan in each water pump station. Will be. The time step (cycle) in the pump operation plan formulation here was 15 minutes.

Here, X: matrix (n × 2T) having as a component the number of water pumps operating every 15 minutes of all water pumping stations A to C in the DR request time zone, t: an integer representing time (1 time is 30 minutes) Corresponding, for example, t = 0 represents 10:00, t = 1 represents 10:30, t ′: an integer representing time (one time corresponds to 15 minutes, for example, t = 0 is 10:00) , T = 1 represents 10:15), T: a constant representing the end time of the DR request time zone (in the case of 15 minutes, time 0 to time 2T is the DR request time zone, and in the case of 30 minutes, the time 0: time T becomes the DR request time zone), Et: average value (kW) of sum of water pump power consumption of each water pump station for 30 minutes from time t-1 to time t, et ': time t' -1 to sum t (kW) of water pump power consumption at each water pump station for 15 minutes from time t ′, xt ′: time t′−1 to time t ′ A vector (n × 1) whose components are the number of water pumps operating at each water pump station (component takes a value of 0 or 1), n: number of water pump stations (here 3), a, b: constant Vector (1 × n) (having a coefficient for converting the number of water pumps operating to power consumption as a component), 1: Constant vector with all components being 1 (n × 1), li, t ′: Reservoir i ( Water level at time t ′ (0 ≦ i ≦ n), Δt: a constant indicating a scheduling step (here, set to 0.25 [15 minutes]), Si: cross-sectional area of reservoir i, ft ′: time t′− A vector (n × 1) having as a component the amount of water delivered to each reservoir from 1 to time t ′, fmax, t ′: the maximum amount of water delivered to each reservoir at time t ′ after the end of the DR request time zone (upper limit delivery) Vector (n × 1) with component (water quantity), di, t ′: total demand of the distribution districts in charge of each reservoir for 15 minutes from time t′−1 to time t ′ , Ci: constant vector (1 × n) (value varies depending on connection type for each reservoir), A, B: constant vector (n × n) (to convert the number of water pumps operating at each water pump station to flow rate 1), lmin, i, t ′: operation lower limit water level at time t ′ of reservoir i, lmax, i: operation upper limit water level of reservoir i, xi, t ′: Number of water pumps operating for 15 minutes from time t′-1 to time t ′ of the water pumping station that supplies water to the distribution reservoir i, fi, t ′: 15 minutes from time t′-1 to time t ′ to the distribution reservoir i The amount of water delivered.

Moreover, the above-mentioned number 1 gives the 30-minute average power consumption of the water pump, and is calculated by the average of the power consumption calculation values of the number 2 every 15 minutes. The reason why the 30-minute average is used in this way is that, in Japan, the electricity price is determined based on the 30-minute average power amount. The number X of water pumps operating in all the water pumping stations at which the maximum value in the time series of the 30-minute average power in the DR request time zone becomes the minimum is determined by Equation 1. In Equations 4 to 7, the water level change in the DR request time zone and the predetermined time zone after the end of the DR request time zone is calculated, and the water level as the calculation result is constrained to be within the operation upper and lower limits. The reason why the restriction after the end of the DR request time period is given is to avoid that the water level of the distribution reservoir falls below the operation lower limit in the operation after the end of the DR request time period.
In Equation 8, the current time is t ′, and the estimated water demand for 12 hours is used to obtain the water level of the reservoir that can be continuously supplied to the water customers in each distribution area for 12 hours. As given.

  The reason why the lower limit water level is changed according to time will be described with reference to FIG. FIG. 8 is a diagram illustrating graph examples of the demand amount prediction value and the operation lower limit water level in the present embodiment. In FIG. 8, as shown as a fixed operation lower limit water level 503 in the operation lower limit water level graph 820, the lower limit water level was a fixed value under conventional operation. However, even if the water supply by the pump (water supply from the clean water reservoir 3 to the distribution reservoir 4) is stopped due to an accident or a power failure, the operation lower limit water level is a certain amount of time (for example, 12 hours). It is set for the purpose of ensuring the amount of storage that enables continuous supply. Here, the amount of water demand tends to be a waveform having peaks at two certain times, as generally indicated as a water demand amount predicted value 501 in the demand amount predicted value graph 810 of FIG. Therefore, at each time, the water level at which continuous water supply for 12 hours is possible, that is, the operation lower limit water level is different. According to the guidelines of the Ministry of Health, Labor and Welfare, it is desirable to secure water levels in each distribution reservoir that allow continuous water supply for about 12 hours. Therefore, the pump operation planning system 2000 according to the present embodiment calculates the operation lower limit water level from the predicted water demand amount based on Equation 8. An example of the calculation result is shown by a dotted line of the variable operation lower limit water level 502 in FIG. In the example shown in FIG. 8, the operation lower limit water level 502 becomes the highest several hours before 6 o'clock when the water demand predicted value 501 reaches one peak.

  In the above-described example, as shown in FIG. 9, a configuration is assumed in which purified water supplied from the water purification tank 3 by the pump 50 is supplied to consumers through one distribution reservoir 500. On the other hand, a configuration in which two distribution reservoirs are connected is not uncommon. Therefore, based on FIG. 10, a method for obtaining the operation lower limit water level in the case where the two reservoirs are connected is shown below. In the case of the configuration shown in FIG. 10, the worst case is that the pump 604 for receiving water from the first reservoir 601 is stopped in the second reservoir 602 that is farther from the clean water reservoir 3 than the first reservoir 601. In this case, the water level at which water can be supplied to consumers via the water distribution pipe 608 may be set as the operation lower limit water level for 12 hours. On the other hand, in the first distribution reservoir 601, the worst case is when the pump 604 is in an operable state in a situation where the pump 603 is stopped and the water supply from the clean water reservoir 3 is cut off. It is necessary to obtain a water level at which water supply from the distribution reservoir 1 to the customer via the distribution pipe 607 can be continued for 12 hours.

  Here, the operation lower limit water level of the reservoir 1 at time t is LL1 (t), the water level of the reservoir 2 is L (2), and the total amount of water distributed from the reservoirs 1 and 2 (demand) immediately after time t is 12 hours. Amount) is V1 (t) and V2 (t), and the cross-sectional areas of the reservoirs 1 and 2 are S1 and S2. At this time, the conditions under which the reservoirs 1 and 2 become empty simultaneously after 12 hours are as follows.

S1 · LL1 (t) + S2 · L2 (t) = V1 (t) + V2 (t) (Equation 11)
Equation 11 for L1

    LL1 (t) = (V1 (t) + V2 (t) −S2 · L2 (t)) / S1 (Equation 12)

  This is an equation that gives the operation lower limit water level at time t in the reservoir 1. Assuming that the water level of the distributing reservoir 1 at time t is L1 (t), the pump operation planning system 2000 may solve the planning problem by adding the following constraint equation to the operation planning problem described above.

    L1 (t) ≧ (V1 (t) + V2 (t) −S2 · L2 (t)) / S1 (Equation 13)

  In the operation planning problem, V1 (t) and V2 (t) are constant values calculated from the demand amount predicted value.

  Next, the reason why the time interval for formulating the pump operation plan (number of operating units) is set to 15 minutes in the above operation plan problem will be described with reference to FIG. Since the measurement cycle of power consumption in Japan is 30 minutes, it is common to formulate plans every 30 minutes in a pump operation plan that minimizes the power consumption of the water pump per day. However, when dealing with the problem of minimizing the maximum value of average power consumption every 30 minutes, such as the above-mentioned pump operation plan, the plan is made in steps shorter than 30 minutes, such as every 10 minutes or 15 minutes. In this case, the possibility of further reducing the peak power is increased.

  Of the graphs 700 to 702 showing the correspondence between the number of pumps in time series and the average power consumption shown in FIG. 11, the graph 700 shows the average power consumption when the pump operation is planned every 30 minutes as usual. As shown, if the power consumption of the water pump is 50 kW, the average power consumption for 30 minutes from 10:30 to 11:00 when the water pump is operated is directly 50 kW.

  On the other hand, graphs 701 and 702 show the average power consumption when the pump operation is planned in 15-minute increments, and the total operation time of the water pump is 30 by dispersing the time period of the pump operation over 30 separations. The average power consumption for 30 minutes from 10:30 to 11:00 is 25 kW, and the average power consumption for 30 minutes from 11:00 to 11:30 is 25 kW. Can be halved. This is realized by dispersing the pump operation in a power measurement cycle (evaluation cycle) every 30 minutes. In order to realize this, the time step of the pump operation plan may be made smaller than 30 minutes as described above. However, when the time step is made excessively small, the scale (number of decision variables) of the operation plan problem becomes large, and the solution method Time can be enormous. Therefore, a time interval of about 15 minutes or 10 minutes is appropriate in practice.

Next, the reason why the restriction after the DR request time period is provided in the above equations 4 and 6 will be described with reference to FIG. Here, the upper limit of the number of operating water pumps is assumed to be one from the relationship of contract power at each water pumping station of the water distribution system 100. In addition, simultaneous operation of two water pumps should be avoided because it causes more power consumption than contracted power, and the basic power rate increases and leads to cost increase.

As illustrated in FIG. 12, even if the reservoir water level 803 is sufficiently higher than the operation lower limit water level 804 during the DR request time zone 802, the operation lower limit water level 804 may be interrupted after the DR request time zone 802 ends. . This is a phenomenon that may occur when the amount of water distribution (demand amount) from the reservoir 4 to the customer exceeds the amount of water supplied from the clean water reservoir 3 to the reservoir 4. In order to avoid this, it is assumed that the pump operation planning system 2000 operates the upper limit number of water pumps after the DR request time zone 802 (corresponding to the above equation 6), and after the DR request time zone 802 ends. The problem may be solved by providing a constraint (Equation 7) that the water level calculated in Equation 4 above is equal to or higher than the operation lower limit water level in a certain time zone. The lower part of FIG. 12 illustrates the constraint (Equation 7) in this case. Here, WS (t) is the amount of purified water supplied to the water distribution by the water pump at time t, D (t) is the demand amount at time t, and S is the reservoir cross-sectional register. By performing problem solving in this way and making a plan, it is possible to prevent a situation where the water level of the distribution reservoir 4 falls below the operation lower limit water level even after the end of the DR request time zone 802. Note that the pump operation planning system 2000 needs a water level value at time 0 when handling the above-described Expression 4, and this value is acquired from the monitoring control via the LAN 210.

The mathematical programming problem (min-max problem) formulated as described above can be converted into an equivalent mixed integer programming problem by setting auxiliary variables. In this case, the mathematical programming problem can be solved by a mixed integer programming solver.

  Moreover, in the above-mentioned example, the example on the premise of the configuration having three water pumping stations is shown, but in an actual water distribution system, there are many cases where many pumping stations are installed. Therefore, in such a case, in order to reduce the peak power consumption of the water pump as much as possible and level the power consumption in the DR request time zone, the mathematical programming problem can be solved with a computer as described above. Required.

Next, based on FIG. 13, an example of a pump operation plan in which the DR request notification is 12 hours before the DR request time zone, or the DR request time zone starts, such as one day before, that is, there is a time margin until DR implementation. Will be described. As shown by the water level graph 950 in FIG. 13, the reservoir water level 902 in the conventional operation is maintained at an intermediate level between the operation upper limit water level 904 and the operation lower limit water level 905 before the DR is performed. Therefore, as shown in the pump operation number graph 960, the water level quickly reaches the operation lower limit water level 905 in the DR time zone 903, and it becomes necessary to start the pump in the latter half of the DR time zone 903. Cannot continue. On the other hand, the distribution reservoir water level 901 (in the figure: proposed operation) in the pump operation plan of the present embodiment keeps the water pump ON before the DR start time and brings the water level close to the operation upper limit water level. Thereby, as shown in the pump operation number graph 970, the water supply pump OFF can be maintained in the DR execution time zone 903. Therefore, it is possible to greatly reduce the peak power.

  In this case, when the pump operation planning system 2000 determines the pump operation plan by the above-described mathematical programming algorithm, the predicted water level of each distribution reservoir becomes the operation upper limit in the time zone immediately before the arrival of the DR implementation time zone 903. Therefore, the planned value of the number of water pumps operating in the DR implementation time zone 903 is determined by the mathematical programming algorithm. The processing in this case is as already described based on each formula except that the constraint condition is added as described above.

  Next, a process for creating a pump operation plan at a plurality of time intervals (cycles) and selecting and outputting the best plan among them will be described with reference to FIG. This process is executed by the operation planning means 204 shown in FIGS.

  In this case, in step 1201, the operation plan drafting means 204 sets the time increment of the pump operation plan as three types of 30 minutes, 15 minutes, and 10 minutes, and the three types of pump operation plans (plan for the number of water pumps operating). ).

  The operation plan problem for creating a pump operation plan with a time increment of 15 minutes is as described above (Equation 1 to Equation 10). On the other hand, the planning problem of creating a pump operation plan in increments of 30 minutes and 10 minutes will be described later.

  Next, in step 1202, the operation plan drafting means 204 determines whether there is a pump operation plan in which the peak power is smaller than the other time intervals among the above three types of time intervals. As a result of this determination, if the corresponding pump operation plan exists (1202: Y), the operation plan drafting means 204 shifts the processing to step 1203. On the other hand, if the corresponding pump operation plan does not exist as a result of the above determination (1202: N), the operation plan drafting means 204 shifts the processing to step 1204.

  Subsequently, in step 1203, the operation plan drafting means 204 identifies the operation plan with the lowest peak power among the above-described three types of time-based pump operation plans as the final (optimum) operation plan. And output to the output means 205.

On the other hand, in step 1204, the operation plan drafting means 204 determines that the operation plan with the smallest peak power among the above-mentioned three types of pump operation plans in time increments (the peak power is all the same in the pump operation plans in each time increment). The operation plan with the largest time step is output to the output means 205 as the final (optimal) operation plan, and the process is terminated.

  In addition, in the above-mentioned step 1204, when there are a plurality of pump operation plans that give the minimum peak power, the one with the largest time step is set as the final plan, thereby reducing the frequency of the water pump ON / OFF to the equipment. It is possible to reduce the load and realize the minimum peak power.

In addition, the operation planning problem every 30 minutes is as follows.

Here, X: a matrix (n × T) having as a component the number of water pumps operated every 30 minutes of all pump stations in the DR request time zone, t: an integer representing time (one time corresponds to 30 minutes), T : A constant indicating the DR end time (from time 0 to time T becomes the DR request time zone), Et: an average value (kW) of the total power consumption of each water pump for 30 minutes from time t-1 to time t, et: Total power consumption (kW) of each water pump for 30 minutes from time t-1 to time t, xt: Vector (n × 1) having as components the number of water pumps operated from time t-1 to time t ) (Component takes a value of 0 or 1), n: number of water pumping stations (here 3), a, b: constant vector (1 × n) (coefficient for converting the number of water pumps operating to power consumption 1) All components have a constant vector (n × 1), li, t: Reservoir i (0 ≦ i ≦ n) Water level at time t, Δt: constant indicating the scheduling step (set here to 0.5 [30 minutes]), Si: cross-sectional area of reservoir i, ft: time t
-1 to vector (n × 1), fmax, t: DR with the amount of water delivered to each reservoir from time t
A vector (n × 1) whose components are the maximum water supply amount (upper limit water supply amount) for each reservoir at time t after the requested time zone, ci: constant vector (1 × n) (the value depends on the connection form of each reservoir) A, B: Constant vector (n × n) (for converting the number of water pumps operating in each water pump into a flow rate, 0 except for diagonal components), lmin, i, t: Operational minimum water level at time t of reservoir i, lmax, i: Maximum operational water level of reservoir i, di, t: Total water distribution amount from time t-1 to time t from reservoir i (total demand) ), Fi, t: The water supply flow rate for 30 minutes from time t-1 to time t to distribution reservoir i.

On the other hand, the operation planning problem every 10 minutes is as follows.

Here, X: matrix (n × 2T) having as a component the number of water pumps operated every 10 minutes of all pumping stations in the DR request time zone, t: an integer representing time (one time corresponds to 30 minutes), t ': Integer representing time (1 time corresponds to 10 minutes), T: Constant representing DR end time (time 0 to time 3T is DR request time zone in 10 minute increments, time 0 in 30 minute increments) To time T becomes the DR request time zone), Et: average value (kW) of the total power consumption of each water pump for 30 minutes from time t-1 to time t, et ': time from time t'-1 Total power consumption (kW) of each water pump for 10 minutes of t ′, xt ′: a vector (n × 1) (component is a component of the number of water pumps operated from time t′−1 to time t ′) (Takes 0 or 1), n: number of water pump stations (here 3), a, b: constant vector (1 × n) (water feed 1) Constant vector (n × 1) where all components are 1, li, t ′: Time of distribution reservoir i (0 ≦ i ≦ n) t ′ water level, Δt: a constant indicating a scheduling step (here, set to 1/3 [10 minutes]), Si: cross-sectional area of reservoir i, ft ′: each distribution from time t′−1 to time t ′ Vector (n × 1) having the water supply amount for the reservoir as a component, fmax, t ′: vector (n × 1) having the maximum water supply amount for each reservoir at the time t ′ after the DR request time zone, di, t ′: Total demand of the distribution territories that each reservoir is responsible for 10 minutes from time t′−1 to time t ′ (total water distribution from each reservoir), ci: constant vector (1 × n) (distribution) A, B: Constant vector (n × n) (for converting the number of water pumps operating at each water pump station to the flow rate). Other than the angular component, it is 0.), lmin, i, t ′: Operation lower limit water level at time t ′ of reservoir i, lmax, i: Operation upper limit water level of reservoir i, fi, t ′: To reservoir i Time t'−
1 to 10 minutes from time t ′.

  In the example shown above, the 30-minute average value of the total power consumption of the water pump is used as the objective function, but the power consumption of the water intake pump 10 in FIG. It is also possible to formulate a planning problem and formulate a pump operation plan. In this case, the calculation load increases, but it becomes possible to formulate a stricter operation plan (pump operation plan) that enables greater power reduction.

  In the above-mentioned example, the pump operation plan is formulated when there are three water pump stations. However, even if there are fewer water pump stations, for example, only two water pump stations are formulated. good. In this case, the pump operation planning system 2000 formulates an operation plan for the DR request time period for a pump that is not the target of the pump operation plan, and performs the operation plan in the DR request time zone (math formula 1 to formula 10). Given as an input, a pump operation plan is formulated only for the pumps targeted for the pump operation plan of this embodiment.

The method described so far is based on the situation where the power DR is performed in the transmission and distribution system 100 when the power supply / demand balance is tight and a power saving request is transmitted from the power company. On the other hand, assuming a situation where a large amount of power generated by renewable energy such as solar power or wind power flows into the power system, there is a risk that the power in the power system may generate surplus due to unstable power generation trends. . In such a case, the pump operation planning system 2000 that receives the power consumption request from the electric power company can formulate a pump operation plan so that the above-described surplus power is absorbed by the power consumption due to the operation of the water pump.

In this case, the pump operation planning system 2000 uses a value obtained by multiplying the objective function of the number 2 by −1 as the objective function, and sets the value that the decision variable can take as the upper limit number of water pumps or the upper limit number of units −1. The solution is made under the condition that the water pump easily consumes power. Multiplying by -1 means that the planned value is calculated so that the smallest one in the power consumption time series becomes the maximum. This solution itself is the same as that related to the pump operation plan corresponding to the power saving request already described.

  FIG. 15 shows an example of formulating a pump operation plan for surplus power consumption. Here, in addition to the graphs 1002, 1004, 1006 of the number of water pumps operating at each of the water pump stations A to C, which are the formulation results of the pump operation plan, the water level of each of the water reservoirs A to C (corresponding to the water reservoirs 4 to 6) It is assumed that the graphs of 1001, 1003, 1005 and the total water pump power consumption 1007 of the water pump stations A to C are arranged in parallel with the time axis aligned. It is assumed that the gray-out portion in each of these graphs 1001 to 1007 is the DR implementation time zone 1000, and that a consumption request comes from the power company immediately before that time zone (for example, 5 minutes before). Further, it is assumed that the time width of the DR execution time zone 1000 is 3 hours.

In this case, as shown in the operation number graph 1002, in the water supply pump station A, for the first two hours from the start of the DR execution time zone 1000, two water supply pumps are set to ON (the operation number is the upper limit). It has become. In addition, as shown in the operating unit graph 1004, at the water pumping station B, two water pumps are turned ON for the first and last hour in the DR implementation time zone 1000 (
The number of operating units is planned to be the upper limit). In addition, as shown in the operation number graph 1006, in the water supply pump station C, it is planned that two water supply pumps are turned ON (the operation number is the upper limit) for the last two hours in the DR execution time zone 1000. All water pumping stations are planned so that the water level in the distribution target reservoir will not exceed the operation upper limit by operating only one water pump for one hour out of the three hours in the DR implementation time zone 1000. Yes.

  As shown in the example of pump operation plan in FIG. 15, the water pump consumption at each water pump station in the DR implementation time period 1000 is planned by planning that the water pump operation timings of the three water pump stations overlap at the same time. It is possible to maximize the minimum value of the total power consumption 1007 obtained by summing the power. That is, the total power consumption of the water pump in the DR implementation time zone 1000 can be maximized. In this way, multiplying the evaluation function by minus, such as multiplying the objective function by minus, means maximizing the minimum power consumption in the water pump, and is consumed by the restriction that the water level of the distribution reservoir 4 falls within the upper and lower limits of operation. It is possible to obtain a pump operation plan that consumes as much power as possible with the water pump while leveling the power. If the water pump is operated according to this pump operation plan, the above-mentioned surplus power can be effectively absorbed.

  Next, a mode in which the pump operation planning service by the pump operation planning system 2000 as described above is provided to the planner by the cloud system will be described. The pump operation planning system 2000 in the above description assumes, for example, a case where a water utility owns and uses it in-house. However, there is a need to use only the functions of the pump operation planning system 2000 more efficiently than to individually develop, install, and operate such a pump operation planning system 2000 depending on the water utility.

  FIG. 16 shows an overall configuration diagram of a pump operation planning system as the cloud system 1100. In this case, the monitoring and control system 1103 of the water service entity transmits information necessary for formulating a pump operation plan to the cloud system 1100 via an appropriate network 1102 such as the Internet, and requests a pump operation plan.

  On the other hand, the cloud system 1100 uses the information (stored in the demand database 1106 and the facility information database 1108) for each customer (water supply entity) accumulated in advance, specifies the predicted water demand by the demand forecasting unit 1103, Further, a pump operation plan is created by the operation plan drafting means 1104 in the same manner as the pump operation plan system 2000 described above, and the result is returned to the monitoring control system 1103. Each process in the cloud system 1100 is the same as that of the above-described pump operation planning system 2000, and the functions provided are also the same.

  Although the best mode for carrying out the present invention has been specifically described above, the present invention is not limited to this, and various modifications can be made without departing from the scope of the invention.

  According to this embodiment, it is possible to formulate a plan that establishes a suitable power usage pattern based on each condition in the transmission and distribution system in response to various requests for power usage in an arbitrary time zone.

  At least the following will be clarified by the description of the present specification. That is, in the pump operation planning system of the present embodiment, the arithmetic unit, when determining the planned value by the mathematical programming algorithm, sums the average power consumption for a predetermined time of each pump at each time in the power saving time zone. It is also possible to perform a minimax optimization process that minimizes the maximum function value of the objective function.

  According to this, for example, the peak suppression of the total power consumption obtained by summing the power consumption of the water pump in the power saving time zone, that is, the processing for minimizing the total power consumption of the water pump in the power saving time zone can be made efficient.

  Further, in the pump operation planning system of the present embodiment, the arithmetic unit is configured such that a predicted water demand amount for each time in each of the distribution districts and a distribution reservoir that cannot receive water from the water purification basin are consumers. The water level at each time of each distribution reservoir can meet the water demand indicated by the predicted water demand during the specified time from the stoppage of the water supply based on the minimum specified time to maintain water distribution to Further, a process of calculating the operation lower limit water level at each time of each reservoir is executed, and when the plan value is determined by the mathematical programming algorithm, the predicted water level of each reservoir is calculated as described above. The plan value of the number of operating pumps in the power saving time zone may be determined by a mathematical programming algorithm under the constraint condition that the operation lower limit water level at each time is satisfied at each time.

  According to this, it is possible to identify a time change with respect to the threshold of the operating water level in the distribution reservoir, and to efficiently formulate an accurate pump operation plan based on this.

  Moreover, in the pump operation planning system according to the present embodiment, the arithmetic unit is configured to calculate a predicted water demand amount of a distribution area that is served by one of the two distribution reservoirs that is close to the clean water reservoir. The predicted amount of water demand for the other reservoir that receives water from the reservoir, and the one and the other reservoirs that are unable to receive water from the clean water reservoir are distributed to consumers in each relevant reservoir The water level at each time of each of the one and the other reservoirs based on the minimum specified time to maintain the water demand indicated by each water demand predicted value during the specified time from the stoppage of water supply Further, a process of calculating an operation lower limit water level at each time of each reservoir is obtained, and when the plan value is determined by the mathematical programming algorithm, the predicted water level of each reservoir is , Operation at each calculated time Under the constraint condition seeking to meet the limit water level at each time, it is what determines the planned value of the number of operating units of the pump in the power saving time period by the algorithm of mathematical programming may be.

  According to this, it is possible to efficiently create an accurate pump operation plan based on the situation assumed in the configuration in which the reservoirs are connected.

  Further, in the pump operation planning system of the present embodiment, the arithmetic unit assumes that the number of pumps operated in the decision variable is every predetermined time of less than 30 minutes, and uses the mathematical programming algorithm in the power saving time zone. The plan value of the number of operating pumps may be determined.

  According to this, it becomes possible to formulate a pump operation plan that effectively reduces the average power consumption in the target time zone of the pump operation plan.

  Further, in the pump operation planning system of the present embodiment, the arithmetic unit uses the decision variable corresponding to each type of predetermined time when the predetermined time in the decision variable is a plurality of types. A plan value of the number of operating pumps in the power saving time zone by an algorithm is determined for each type of predetermined time, and the objective function is optimized among the determined plan values of each type, and It is good also as what further performs the process which specifies the thing with the said longest predetermined time as the plan value of the final number of pump operation.

  This makes it possible to efficiently create a pump operation plan that minimizes the power consumption of the water pump while suppressing the frequency of the water pump ON / OFF.

  Further, in the pump operation planning system according to the present embodiment, the arithmetic unit, when determining the planned value by the mathematical programming algorithm, in the second time zone after the power saving time zone has elapsed, A constraint condition is calculated to require that the predicted water level of the reservoir when operating the pump to supply water to the upper limit operation number is equal to or higher than the operation lower limit, and the pump of the pump in the power saving time zone by the algorithm of the mathematical programming method is added. The plan value of the number of operating units may be determined.

  According to this, it becomes possible to formulate a pump operation plan that accurately avoids that the reservoir water level falls below the operation lower limit water level after the power saving time period has elapsed.

  Further, in the pump operation planning system of the present embodiment, the arithmetic unit, when determining the plan value by the mathematical programming algorithm, in the time zone immediately before the arrival of the power saving time zone, the predicted water level value of each distribution reservoir It is also possible to add a constraint condition for obtaining an upper limit of operation and determine a planned value of the number of operating pumps in the power saving time zone by the algorithm of the mathematical programming method.

  According to this, the operation of the water pump in the power saving time zone is avoided as much as possible, and it becomes possible to efficiently formulate a pump operation plan that meets the power saving request.

  Further, in the pump operation planning system according to the present embodiment, the arithmetic unit, when determining the plan value by the mathematical programming algorithm, performs predetermined conventional operation with respect to a predetermined pump that is not a target for planning among a plurality of pumps. The operation plan is determined with an algorithm corresponding to the determined operation plan, and the determined operation plan for the predetermined pump of the conventional operation is one of the inputs in the mathematical programming algorithm for the pump to be planned among the plurality of pumps, The planned value of the number of operating pumps to be planned in the power saving time zone may be determined.

According to this, it is possible to create a pump operation plan while taking into account pumps that are not the target of the pump operation plan of the present embodiment, and the accuracy of the pump operation plan is further improved.

  Further, in the pump operation planning method of the present embodiment, when the computer system determines the planned value by the mathematical programming algorithm, the sum of the predetermined average power consumption of each pump at each time in the power saving time zone. It is also possible to execute a minimax optimization process that minimizes the maximum function value of the objective function.

  Further, in the pump operation planning method of the present embodiment, the computer system is a water demand prediction value for each time in each of the distribution districts, and the distribution reservoir that has not been able to receive water from the clean water reservoir is a consumer. The water level at each time of each distribution reservoir can meet the water demand indicated by the predicted water demand during the specified time from the stoppage of the water supply based on the minimum specified time to maintain water distribution to Further, a process of calculating the operation lower limit water level at each time of each reservoir is executed, and when the plan value is determined by the mathematical programming algorithm, the predicted water level of each reservoir is calculated as described above. The planned value of the number of operating pumps in the power saving time zone may be determined by a mathematical programming algorithm under a constraint condition that the operation lower limit water level at each time is satisfied at each time.

  Further, in the pump operation planning method of the present embodiment, the computer system includes a predicted water demand amount of a distribution area that is served by one of the two distribution reservoirs connected to the clean water reservoir, and the one of the two distribution reservoirs. The predicted amount of water demand for the other reservoir that receives water from the reservoir, and the one and the other reservoirs that are unable to receive water from the clean water reservoir are distributed to consumers in each relevant reservoir The water level at each time of each of the one and the other reservoirs based on the minimum specified time to maintain the water demand indicated by each water demand predicted value during the specified time from the stoppage of water supply Further, a process of calculating an operation lower limit water level at each time of each reservoir is obtained, and when the plan value is determined by the mathematical programming algorithm, the predicted water level of each reservoir is , Each time calculated above Under the constraint condition seeking to meet the operational lower limit level at each time, to determine the planned value of the number of operating units of the pump in the power saving time period by the algorithm of mathematical programming may be.

  Further, in the pump operation planning method of the present embodiment, the computer system sets the number of pumps operated in the decision variable every predetermined time of less than 30 minutes, and uses the mathematical programming algorithm in the power saving time zone. The planned value of the number of operating pumps may be determined.

  Further, in the pump operation planning method according to the present embodiment, when the computer system uses a plurality of types of predetermined times in the decision variable, the decision variables corresponding to the predetermined times of each type are used. A plan value of the number of operating pumps in the power saving time zone by an algorithm is determined for each type of predetermined time, and the objective function is optimized among the determined plan values of each type, and It is also possible to further execute a process of specifying the largest predetermined time as a planned value of the final number of pumps to be operated.

  Further, in the pump operation planning method according to the present embodiment, when the computer system determines the plan value by the mathematical programming algorithm, the distribution reservoir is used in a second time zone after the power saving time zone has elapsed. A constraint condition is calculated to require that the predicted water level of the reservoir when operating the pump to supply water to the upper limit operation number is equal to or higher than the operation lower limit, and the pump of the pump in the power saving time zone by the algorithm of the mathematical programming method is added. The planned value of the number of operating units may be determined.

Further, in the pump operation planning method of the present embodiment, when the computer system determines the planned value by the mathematical programming algorithm, the predicted water level value of each reservoir in the time zone immediately before the arrival of the power saving time zone. May be added, and a planned value of the number of operating pumps in the power saving time zone may be determined by the algorithm of the mathematical programming method.

  Further, in the pump operation planning method of the present embodiment, when the computer system determines the planned value by the algorithm of the mathematical programming method, a predetermined conventional operation is performed for a predetermined pump that is not a target for planning among a plurality of pumps. The operation plan is determined with an algorithm corresponding to the determined operation plan, and the determined operation plan for the predetermined pump of the conventional operation is one of the inputs in the mathematical programming algorithm for the pump to be planned among the plurality of pumps, The planned value of the number of operating pumps to be planned in the power saving time zone may be determined.

  Further, in the pump operation planning method of the present embodiment, the computer system is a sum of predetermined average power consumptions of the respective pumps in the power saving time zone when the plan value is determined by the mathematical programming algorithm. A minimax optimization process that maximizes the smallest function value of the objective function may be executed.

DESCRIPTION OF SYMBOLS 1 Water source 2 Water purification plant 3 Water purification tank 4-6 Water distribution tank 11-13 Water supply pump 100 Water supply / distribution system 2000 Pump operation planning system 200 Processor (computing device)
201 Memory (storage device)
202 Data input means 203 Demand prediction means 204 Operation planning means 205 Output means 206 Demand database 207 Weather information database 208 Equipment information database 209 Communication means 210 LAN
211 Monitoring and control device

Claims (20)

A storage device storing each information of the water purification pond and the water distribution pond of the water transmission and distribution system, and a pump for supplying water from the water purification pond to the water distribution pond;
Based on a predetermined power saving request and each information, regarding the power saving time zone indicated by the power saving request, the number of pumps operated every predetermined time is a determining variable, and the average consumption of each pump for a predetermined time at each time in the power saving time zone Using the sum of power as an objective function, the predicted water level of each reservoir based on the predicted water demand for each time in the distribution territory of each reservoir and the number of pumps operating to the corresponding reservoir An arithmetic unit that determines a planned value of the number of operating pumps in the power saving time zone by a mathematical programming algorithm under a constraint condition that satisfies upper and lower limits,
A pump operation planning system comprising: The arithmetic unit is
When determining the planned value by the mathematical programming algorithm, the largest one of the function values of the objective function that is the sum of the predetermined average power consumption of each pump at each time in the power saving time zone is minimized. To perform a minimax optimization process,
The pump operation planning system according to claim 1. The arithmetic unit is
Based on the predicted amount of water demand at each time in each of the distribution districts, and the minimum prescribed time that the distribution reservoir that has not been able to receive water from the clean water reservoir should maintain water distribution to consumers, The water level at each time in each reservoir is calculated so that the water level at each time in each reservoir can meet the water demand indicated by the predicted water demand between the stoppage of the water supply and the specified time. Perform further processing,
In the determination of the planned value by the mathematical programming algorithm, under the constraint that the predicted water level of each reservoir is to satisfy the calculated lower limit water level at each time at each time, the mathematical programming method A plan value of the number of operating pumps in the power saving time zone is determined by an algorithm.
The pump operation planning system according to claim 1. The arithmetic unit is
Of the two connected reservoirs, the predicted water demand of the distribution zone that is served by one of the reservoirs close to the clean water reservoir, and the predicted water demand of the other reservoir that receives water from the one reservoir , Based on the minimum prescribed time in which each of the one and the other distribution reservoirs, which have not been able to receive water from the water purification pond, should maintain the distribution of water to consumers in each distribution district,
Each time of each of the reservoirs, the water level at each time of each of the one and the other reservoirs can meet the water demand indicated by each predicted water demand during the specified time from the stop of the water supply. Or a process of calculating a conditional expression to be satisfied by the water level at each time of each of the one and the other reservoirs,
In the determination of the planned value by the mathematical programming algorithm, under the constraint that the predicted water level of each reservoir is to satisfy the calculated lower limit water level at each time at each time, the mathematical programming method A plan value of the number of operating pumps in the power saving time zone is determined by an algorithm.
The pump operation planning system according to claim 1. The arithmetic unit is
The operation number of the pumps in the determination variable is determined every predetermined time of less than 30 minutes, and the planned value of the operation number of the pumps in the power saving time zone is determined by the mathematical programming algorithm.
The pump operation planning system according to claim 1. The arithmetic unit is
When the predetermined time in the decision variable is a plurality of types, using the decision variable corresponding to the predetermined time of each type, the planned value of the number of operating pumps in the power saving time zone by the mathematical programming algorithm, Each type is determined every predetermined time, and among the determined planned values of each type, the objective function is optimized, and the longest predetermined time is the final planned number of pumps operated Further processing is performed,
The pump operation planning system according to claim 1. The arithmetic unit is
When determining the planned value by the algorithm of the mathematical programming method, in the second time zone after the power saving time zone has elapsed, the pump of the water reservoir when the pump that supplies water to the reservoir is operated at the maximum number of operating units. Adding a constraint condition that the water level prediction value is equal to or higher than the operation lower limit, and determining the planned value of the number of operating pumps in the power saving time zone by the algorithm of the mathematical programming method,
The pump operation planning system according to claim 1. The arithmetic unit is
In the determination of the planned value by the mathematical programming algorithm, a constraint condition is added that requires the predicted water level of each reservoir to be an upper operation limit in the time zone immediately before the arrival of the power saving time zone, and the mathematical programming A plan value of the number of operating pumps in the power saving time zone is determined by a law algorithm.
The pump operation planning system according to claim 1. The arithmetic unit is
In the determination of the planned value by the mathematical programming algorithm, for a predetermined pump that is not the target of planning among a plurality of pumps, an operation plan is determined by an algorithm corresponding to a predetermined conventional operation, and the determined conventional operation is determined. The operation plan related to the predetermined pump is set as one of the inputs in the mathematical programming algorithm related to the pump to be planned among the plurality of pumps, and the planned value of the operation number of the pumps to be planned in the power saving time period is determined. To do,
The pump operation planning system according to claim 1. The arithmetic unit is
Minimizing the function value of the objective function, which is the sum of the predetermined average power consumption of each pump in the power saving time zone, when determining the planned value by the mathematical programming algorithm. It performs processing of max optimization,
The pump operation planning system according to claim 1. A computer system having a storage device storing each information of a water purification tank and a water distribution reservoir of the water transmission / distribution system and a pump for supplying water from the water purification reservoir to the water distribution reservoir,
Based on a predetermined power saving request and each information, regarding the power saving time zone indicated by the power saving request, the number of pumps operated every predetermined time is a determining variable, and the average consumption of each pump for a predetermined time at each time in the power saving time zone Using the sum of power as an objective function, the predicted water level of each reservoir based on the predicted water demand for each time in the distribution territory of each reservoir and the number of pumps operating to the corresponding reservoir Under the constraint condition that satisfies the upper and lower limits, determine the planned value of the number of operating pumps in the power saving time zone by an algorithm of mathematical programming,
A pump operation planning method characterized by that. The computer system is
When determining the planned value by the mathematical programming algorithm, the largest one of the function values of the objective function that is the sum of the predetermined average power consumption of each pump at each time in the power saving time zone is minimized. Execute the minimax optimization process,
The pump operation planning method according to claim 11, The computer system is
Based on the predicted amount of water demand at each time in each of the distribution districts, and the minimum prescribed time that the distribution reservoir that has not been able to receive water from the clean water reservoir should maintain water distribution to consumers, The water level at each time in each reservoir is calculated so that the water level at each time in each reservoir can meet the water demand indicated by the predicted water demand between the stoppage of the water supply and the specified time. Perform further processing,
In the determination of the planned value by the mathematical programming algorithm, under the constraint that the predicted water level of each reservoir is to satisfy the calculated lower limit water level at each time at each time, the mathematical programming method Determining a planned value of the number of operating pumps in the power saving time zone by an algorithm;
The pump operation planning method according to claim 11. The computer system is
Of the two connected reservoirs, the predicted water demand of the distribution zone that is served by one of the reservoirs close to the clean water reservoir, and the predicted water demand of the other reservoir that receives water from the one reservoir , Based on the minimum prescribed time in which each of the one and the other distribution reservoirs, which have not been able to receive water from the water purification pond, should maintain the distribution of water to consumers in each distribution district,
Each time of each of the reservoirs, the water level at each time of each of the one and the other reservoirs can meet the water demand indicated by each predicted water demand during the specified time from the stop of the water supply. Execute the process to calculate the operational lower limit water level of
In the determination of the planned value by the mathematical programming algorithm, under the constraint that the predicted water level of each reservoir is to satisfy the calculated lower limit water level at each time at each time, the mathematical programming method Determining a planned value of the number of operating pumps in the power saving time zone by an algorithm;
The pump operation planning method according to claim 11. The computer system is
Assuming that the number of pumps operated in the decision variable is every predetermined time less than 30 minutes, the plan value of the number of pumps operated in the power saving time zone is determined by the algorithm of the mathematical programming method.
The pump operation planning method according to claim 11. The computer system is
When the predetermined time in the decision variable is a plurality of types, using the decision variable corresponding to the predetermined time of each type, the planned value of the number of operating pumps in the power saving time zone by the mathematical programming algorithm, Each type is determined every predetermined time, and among the determined planned values of each type, the objective function is optimized, and the longest predetermined time is the final planned number of pumps operated And further execute the process of specifying
The pump operation planning method according to claim 11. The computer system is
When determining the planned value by the algorithm of the mathematical programming method, in the second time zone after the power saving time zone has elapsed, the pump of the water reservoir when the pump that supplies water to the reservoir is operated at the maximum number of operating units. Add a constraint condition that the predicted water level is equal to or higher than the operation lower limit, and determine the planned value of the number of operating pumps in the power saving time zone by the algorithm of the mathematical programming method,
The pump operation planning method according to claim 11. The computer system is
In the determination of the planned value by the mathematical programming algorithm, a constraint condition is added that requires the predicted water level of each reservoir to be an upper operation limit in the time zone immediately before the arrival of the power saving time zone, and the mathematical programming The planned value of the number of operating pumps in the power saving time zone is determined by a law algorithm,
The pump operation planning method according to claim 11. The computer system is
In the determination of the planned value by the mathematical programming algorithm, for a predetermined pump that is not the target of planning among a plurality of pumps, an operation plan is determined by an algorithm corresponding to a predetermined conventional operation, and the determined conventional operation is determined. The operation plan related to the predetermined pump is set as one of the inputs in the mathematical programming algorithm related to the pump to be planned among the plurality of pumps, and the planned value of the operation number of the pumps to be planned in the power saving time period is determined. To
The pump operation planning method according to claim 11. The computer system is
Minimizing the function value of the objective function, which is the sum of the predetermined average power consumption of each pump in the power saving time zone, when determining the planned value by the mathematical programming algorithm. Execute the max optimization process,
The pump operation planning method according to claim 11.