A multi-objective and multi-scale balanced coupling reservoir water supply optimization scheduling method

By constructing a reservoir water supply optimization scheduling method that couples multiple objectives and multi-scale equilibrium, the problem of uneven water resource distribution under multiple water users and multiple time periods is solved, and the fairness of water users and the improvement of reservoir water supply efficiency are achieved.

CN115660357BActive Publication Date: 2025-10-17POWER CHINA KUNMING ENG CORP LTD
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Patent Information

Application Number
CN202211363390.X
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-11-02
Publication Date
2025-10-17
Estimated Expiration
2042-11-02

AI Technical Summary

Technical Problem

The existing reservoir water supply scheduling method is difficult to achieve fair and reasonable water resource allocation under multiple water users and multiple time periods, and fails to fully consider the importance and spatial distribution of different water users, resulting in uneven and unfair water supply.

Method used

A reservoir water supply optimization scheduling method with multi-objective and multi-scale equilibrium coupling is constructed. By establishing the objective functions of minimizing the maximum damage depth in a period and maximizing the cumulative reservoir water supply, combined with the reservoir water supply scheduling constraints, a linear programming method is used to solve the reservoir water supply plan to ensure consistent damage depth for different water users and fair water distribution.

Benefits of technology

It has achieved the goal of reasonably reflecting the importance and spatial distribution of different water users in water shortage situations, ensuring consistent damage depth in different time periods, improving the fairness and efficiency of reservoir water supply, avoiding unnecessary water abandonment, and improving water resource utilization efficiency and economic benefits.

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Abstract

The application belongs to the field of reservoir regulation, and particularly relates to a multi-target and multi-scale balanced coupling reservoir water supply optimization regulation method. By considering the importance of different water supply targets, the damage criteria of the same type of water supply object in space, and the damage criteria of different time periods, a target function of minimum maximum damage depth and maximum cumulative water supply of the reservoir is constructed, and the related constraints of the reservoir, the pipeline and the water supply object are considered to establish a reservoir water supply optimization regulation model based on the minimum maximum damage depth. The method considers the water use order of different important water supply objects and the balance of water supply regulation in the time and space distribution, and can provide scientific, reasonable and efficient technical support for the water supply regulation decision of single reservoir and multiple water supply objects.
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Description

TECHNICAL FIELD

[0001] The present application belongs to the field of reservoir regulation, and particularly relates to a reservoir water supply regulation method for multiple water users. BACKGROUND

[0002] Reservoirs are important water supply projects, which regulate the runoff difference between flood season and dry season through beneficial reservoir capacity to provide water supply security for water users such as life, industry and agriculture. However, in recent years, with global warming, extreme drought events have occurred frequently, and water shortage has also occurred. Through reservoir water supply optimization regulation, the utilization efficiency of water resources can be optimized, which can reduce the loss caused by drought and is of great significance to realize the sustainable utilization of water resources and protect the coordinated development of social economy and ecological environment. For reservoirs with multiple water users of different types (life, industry, and agriculture), in the water shortage situation, on the one hand, the conflicts of interests between different water users need to be coordinated, and on the other hand, the water use relationship between different time periods needs to be coordinated.

[0003] For the reservoir water supply regulation of multiple water users, the existing water supply regulation methods, such as the conventional regulation method based on regulation rules and the optimization regulation method based on the minimum water shortage criterion, have the following shortcomings in actual use:

[0004] 1. The conventional regulation method based on regulation rules, whose regulation rules are mainly obtained by simulating the operation of historical runoff, is simple and easy to operate, but is limited by the representativeness of historical runoff. In the actual water supply regulation process, in the face of the randomness of the runoff process and the changes in the demand of water users, the water supply regulation scheme obtained by using the conventional regulation method is difficult to fully play the water supply benefit of the reservoir.

[0005] 2. The water supply regulation scheme obtained by the optimization regulation based on the minimum water shortage criterion does not fully consider the importance of different types of water users (such as life, industry, and agriculture), and considers that the water demand weights of life, industry, and agriculture are equal. In the case of serious water shortage, it may lead to the fact that the water users with high importance are greatly affected by water shortage, which is not conducive to water resource safety and is inconsistent with the actual situation.

[0006] 3. The regulation scheme obtained by the optimization regulation based on the minimum water shortage criterion is greatly affected by the spatial distribution of water users. The destruction depth of the same type of water users in space is inconsistent, and the water supply near the reservoir is more than that far from the reservoir, which leads to the phenomenon of unfair water supply and is not conducive to the balanced development of the economy around the reservoir area.

[0007] 4. The water supply scheduling scheme obtained by optimizing the scheduling based on the minimum water shortage criterion is affected by the uneven water inflow between years and within a year, resulting in different damage depths to water users during the scheduling period. Especially in the water shortage scenario, it is easy to cause uneven water supply to water users during the same scheduling period, which is not convenient for reservoir scheduling. Summary of the Invention

[0008] To address the above shortcomings of the existing technology, the present invention provides a reservoir water supply scheduling method that couples multiple objectives with multi-objective and multi-scale equilibrium. From the perspective of water supply objectives, this method takes into account multiple objectives such as life, industry, agriculture, and ecology. By comprehensively considering the importance of different objectives and the maximum allowable damage depth, different water supply objectives can use water in a balanced manner when encountering a water shortage. From the spatial scale, this method considers that the damage depth of the same water supply objective is as consistent as possible under water shortage conditions. From the temporal scale, this method considers that the damage depth of each scheduling time period is as consistent as possible under water shortage conditions. In addition, this method also considers avoiding unnecessary water abandonment in the reservoir while ensuring water supply requirements, storing excess water in the reservoir to provide guarantees for subsequent water supply security.

[0009] The present invention adopts the following technical solution to solve the problem.

[0010] A reservoir water supply optimization scheduling method with multi-objective and multi-scale equilibrium coupling. The reservoir water supply optimization scheduling method described in the present invention establishes a reservoir water supply optimization scheduling model based on minimizing the maximum damage depth in a time period by constructing an objective function of minimizing the maximum damage depth in a time period and maximizing the cumulative reservoir water supply, and combining relevant constraints on reservoir water supply scheduling.

[0011] Furthermore, the reservoir water supply optimization scheduling model based on the minimum maximum damage depth in a time period according to the present invention includes the following steps:

[0012] Step 1: According to the damage depth of the water user in each period during the scheduling period, obtain the maximum damage depth of the water user in a single period;

[0013] Step 2: Obtain the cumulative available water volume of the reservoir based on the reservoir capacity corresponding to the reservoir water level in each period and the reservoir capacity corresponding to the dead water level;

[0014] Step 3: Assign weights to the two objectives of maximum damage depth and cumulative reservoir water supply during the period, and establish a reservoir water supply optimization scheduling model based on the minimum maximum damage depth during the period;

[0015] Step 4: Use the linear programming method to solve the reservoir water supply optimization scheduling model based on the minimum maximum damage depth in each time period, and obtain the water supply plan for each scheduling period of the reservoir based on the solution results.

[0016] Further, the reservoir water supply optimization scheduling model based on the maximum damage depth of the period in the application, when calculating the reservoir water supply scheduling scheme, the steps are specifically as follows:

[0017] Step one:

[0018] According to the damage depth DP of the water user in each period of the scheduling period i,t , the maximum damage depth FDP of the water user in a single period is obtained;

[0019] The maximum damage depth of the period is described as formula (1)-(3):

[0020] FDP=max i∈M {g(DP i,max )} (1)

[0021] DP i,max =max t∈T {DP i,t} (2)

[0022]

[0023] In the formula, FDP is the maximum damage depth of the period;

[0024] DP i,t is the damage depth of the i-th water user in the t-th period;

[0025] DP i,max is the maximum damage depth of the i-th water user in the scheduling period;

[0026] DP i,allow is the maximum allowable damage depth of the i-th water user;

[0027] w i is the importance coefficient of the i-th water user;

[0028] And ψ respectively represent the weight coefficients when the damage depth is lower and higher than the maximum allowable damage depth,

[0029] T is the number of scheduling periods;

[0030] M is the number of water users;

[0031] Step two:

[0032] According to the reservoir capacity V corresponding to the reservoir water level in each period t And the reservoir capacity V corresponding to the dead water level of the reservoir min , the cumulative reservoir water supply FV is obtained;

[0033] The reservoir accumulates the water supply during the whole configuration period and is described as formula (4):

[0034]

[0035] In the formula, FV is the cumulative water supply of the reservoir,

[0036] V t is the reservoir capacity corresponding to the water level of the tth time period of the reservoir;

[0037] is the reservoir capacity corresponding to the minimum limit water level of the tth time period of the reservoir;

[0038] T is the number of scheduling periods;

[0039] Step three:

[0040] The two targets of the maximum damage depth of the period and the cumulative water supply of the reservoir are weighted, and a reservoir water supply optimization scheduling model based on the minimum maximum damage depth of the period is established;

[0041] The objective function of the model is described as formula (5):

[0042] min F = α1·FDP-α2·FV (5)

[0043] In the formula, α1 is the weight coefficient of the minimum target of the maximum damage depth of the period;

[0044] α2 is the weight coefficient of the maximum target of the cumulative water supply of the reservoir;

[0045] Step four:

[0046] The linear programming method is used to solve the reservoir water supply optimization scheduling model based on the minimum maximum damage depth of the period, and the water supply scheme of each scheduling period of the reservoir is obtained according to the solving result.

[0047] Further, the reservoir water supply optimization scheduling model based on the minimum maximum damage depth of the period includes seven constraint conditions:

[0048] 1) upper and lower limit constraint of reservoir capacity;

[0049] 2) reservoir outflow constraint;

[0050] 3) upper limit constraint of water consumption of water users;

[0051] 4) pipeline water supply constraint;

[0052] 5) reservoir inflow water balance;

[0053] 6) reservoir water balance;

[0054] 7) combined pipeline water balance.

[0055] Further, the multi-objective and multi-scale balanced coupling reservoir water supply optimization scheduling method has the characteristics that the reservoir water supply optimization scheduling model based on the maximum damage depth and the minimum time period comprises seven constraint conditions, and the constraint conditions are specifically as follows:

[0056] 1) Reservoir storage capacity upper and lower limit constraint:

[0057]

[0058] In the formula, V t is the reservoir storage capacity corresponding to the reservoir water level of the t time period;

[0059] is the reservoir storage capacity corresponding to the minimum limit reservoir water level of the t time period;

[0060] is the reservoir storage capacity corresponding to the maximum limit reservoir water level of the t time period;

[0061] 2) Reservoir outflow constraint:

[0062]

[0063] In the formula, Q t is the reservoir outflow of the t time period;

[0064] is the minimum allowable outflow of the t time period;

[0065] is the maximum allowable outflow of the t time period;

[0066] 3) Water use object water consumption upper limit constraint:

[0067]

[0068] In the formula, WU i,t is the water consumption of the i-th water use object in the t time period;

[0069] is the water demand of the i-th water use object in the t time period;

[0070] 4) Pipe water supply quantity constraint:

[0071] 0≤WSP k,t ≤WSP k,max (9)

[0072] 0≤WGP k,t ≤WGP k,max (10)

[0073] In the formula, WSPk,t WSPk,t is the water supply amount of the kth pipeline in the tth period;

[0074] WSP k,max WSPk is the maximum allowable water supply amount of the kth pipeline;

[0075] WSP k,t WSPk,t is the water supply amount of the kth combined pipeline in the tth period;

[0076] WSP k,max WSPk is the maximum allowable water supply amount of the kth combined pipeline;

[0077] 5) Reservoir Inflow Water Balance

[0078]

[0079] In the formula, WIn,t is the inflow water amount of the reservoir in the tth period;

[0080] WIn,t is the interval water amount of the reservoir in the tth period;

[0081] WOut,t is the outflow water amount of the reservoir in the tth period;

[0082] 6) Reservoir Water Balance

[0083]

[0084]

[0085]

[0086] In the formula, WSP k,t WSPk,t is the water supply amount of the kth pipeline in the tth period;

[0087] VSL t , VZF t WSPk,t is the seepage loss water amount and evaporation loss water amount of the reservoir in the tth period;

[0088] β, γ t β and γ are the seepage loss coefficient and the tth period evaporation loss coefficient of the reservoir, respectively;

[0089] 7) Combined Pipeline Water Balance

[0090]

[0091] In the formula, WGP kk,t WGPk,t is the water supply amount of the kth combined pipeline in the tth period;

[0092] B kk B is the single pipeline set connected to the kth combined pipeline.

[0093] Effects of the Invention

[0094] Compared with the prior art, the present application has the following advantages and beneficial effects:

[0095] 1. The reservoir water supply optimization scheduling model based on the minimum maximum damage depth of time period is established, the maximum damage depth function of water use object reflecting the importance of different water use objects is proposed, the minimum damage objective function and related constraints are constructed, and the water supply scheduling scheme of the reservoir is obtained through model calculation, which can reasonably and correctly reflect the water use priority of different water use objects in terms of water supply objectives; in terms of spatial scale, the damage depth of the same type of water supply target is ensured to be the same; in terms of time scale, the damage depth of each time period is ensured to be the same; compared with the minimum water shortage model, the water allocation of different water use objects is more fair and reasonable.

[0096] 2. The reservoir water supply optimization scheduling model based on the minimum maximum damage depth of time period is established, the maximum cumulative reservoir water supply amount is considered under the premise of meeting the minimum maximum damage depth of water use object time period, the objective function is constructed by weight assignment to two objectives, and the water supply scheduling scheme of the reservoir is obtained through model calculation, which can store water as much as possible on the basis of completing the water supply task of the current period, store the water supply amount for the subsequent configuration period, and improve the utilization efficiency and economic benefit of the reservoir area water resources. BRIEF DESCRIPTION OF DRAWINGS

[0097] Figure 1 It is a water supply topology relationship generalization diagram for a reservoir area;

[0098] Figure 2 It is a reservoir scheduling process diagram of the present application;

[0099] Figure 3 It is a monthly damage depth diagram of different types of water use units of the present application. DETAILED DESCRIPTION

[0100] In order to make the purpose, technical scheme and advantages of the present application clearer and more apparent, the present application will be further described in detail below in combination with the drawings and implementation examples. It should be understood that the specific implementation examples described herein are only used to explain the present application and are not used to limit the present application. In addition, the technical features involved in each embodiment of the present application described below can be combined with each other as long as they do not conflict with each other.

[0101] A multi-objective and multi-scale balanced coupling reservoir water supply optimization scheduling method, the reservoir water supply optimization scheduling method of the present application is completed by constructing the objective functions of the minimum maximum damage depth of time period and the maximum cumulative reservoir water supply amount, and combining the related constraints of reservoir water supply scheduling.

[0102] Further, the reservoir water supply optimization scheduling model based on the minimum maximum damage depth in the period comprises the following steps:

[0103] Step one: according to the damage depth of the water user in each period of the scheduling period, the maximum damage depth of the water user in a single period is obtained;

[0104] Step two: according to the reservoir capacity corresponding to the reservoir water level in each period and the reservoir capacity corresponding to the dead water level of the reservoir, the cumulative water supply capacity of the reservoir is obtained;

[0105] Step three: the weight value of the maximum damage depth in the period and the cumulative water supply capacity of the reservoir is assigned, and the reservoir water supply optimization scheduling model based on the minimum maximum damage depth in the period is established;

[0106] Step four: the linear programming method is used to solve the reservoir water supply optimization scheduling model based on the minimum maximum damage depth in the period, and the water supply scheme of the reservoir in each scheduling period is obtained according to the solving result.

[0107] Further, the reservoir water supply optimization scheduling model based on the minimum maximum damage depth in the period comprises the following steps:

[0108] Step one:

[0109] According to the damage depth DP of the water user in each period of the scheduling period, the maximum damage depth FDP of the water user in a single period is obtained; i,t

[0110] The maximum damage depth in the period is described as formula (1)-(3):

[0111] FDP=max i∈M {g(DP i,max )} (1)

[0112] DP i,max =max t∈T {DP i,t} (2)

[0113]

[0114] In the formula, FDP is the maximum damage depth in the period;

[0115] DP i,t is the damage depth of the i-th water user in the t-th period;

[0116] DP i,max is the maximum damage depth of the i-th water user in the scheduling period;

[0117] ​DP i,allow is the maximum allowable damage depth of the ith water use object;

[0118] w i is the importance coefficient of the ith water use object;

[0119] and ψ respectively represent the weight coefficients of the damage depth lower and higher than the maximum allowable damage depth,

[0120] T is the number of scheduling periods;

[0121] M is the number of water use objects;

[0122] Step two:

[0123] According to the reservoir storage V corresponding to the reservoir water level of each period t and the reservoir storage V corresponding to the dead water level of the reservoir min , the cumulative reservoir water supply FV is obtained;

[0124] The cumulative water supply of the reservoir during the entire configuration period is described as formula (4):

[0125]

[0126] In the formula, FV is the cumulative reservoir water supply,

[0127] V t is the reservoir storage corresponding to the reservoir water level of the tth period;

[0128] is the reservoir storage corresponding to the minimum limit water level of the tth period;

[0129] T is the number of scheduling periods;

[0130] Step three:

[0131] The maximum damage depth of the period and the cumulative reservoir water supply 2 targets are weighted, and a reservoir water supply optimization scheduling model based on the minimum maximum damage depth of the period is established;

[0132] The model objective function is described as formula (5):

[0133] min F = α1·FDP- α2·FV (5)

[0134] In the formula, α1 is the weight coefficient of the minimum maximum damage depth of the period;

[0135] α2 is the weight coefficient of the maximum cumulative reservoir water supply;

[0136] Step four:

[0137] The linear programming method is used for solving the established reservoir water supply optimization scheduling model based on the minimum maximum damage depth in time period, and the water supply scheme of each scheduling time period of the reservoir is obtained according to the solving result.

[0138] Further, the reservoir water supply optimization scheduling model based on the minimum maximum damage depth in time period comprises seven constraint conditions.

[0139] 1) upper and lower limit constraints of reservoir storage capacity;

[0140] 2) reservoir outflow constraints;

[0141] 3) upper limit constraints of water consumption of water users;

[0142] 4) pipeline water supply constraints;

[0143] 5) reservoir inflow water balance;

[0144] 6) reservoir water balance;

[0145] 7) combined pipeline water balance.

[0146] Further, the reservoir water supply optimization scheduling method with multi-objective and multi-scale balanced coupling comprises seven constraint conditions in the reservoir water supply optimization scheduling model based on the minimum maximum damage depth in time period, and the constraint conditions are specifically as follows.

[0147] 1) upper and lower limit constraints of reservoir storage capacity:

[0148]

[0149] In the formula, V t is the storage capacity corresponding to the reservoir water level in the t time period;

[0150] is the storage capacity corresponding to the minimum limit reservoir water level in the t time period;

[0151] is the storage capacity corresponding to the maximum limit reservoir water level in the t time period;

[0152] 2) reservoir outflow constraints:

[0153]

[0154] In the formula, Q t is the outflow in the t time period of the reservoir;

[0155] is the minimum allowable outflow in the t time period of the reservoir;

[0156] is the maximum allowable outflow in the t time period of the reservoir;

[0157] 3) Upper bound constraint on water use of water use object:

[0158]

[0159] where WU i,t is the water use of the ith water use object in the tth time interval;

[0160] is the water demand of the ith water use object in the tth time interval;

[0161] 4) Supply water amount constraint of pipe:

[0162] 0 < WSP k,t < WSP k,max (9)

[0163] 0 < WGP k,t < WGP k,max (10)

[0164] where WSP k,t is the supply water amount of the kth pipe in the tth time interval;

[0165] WSP k,max is the maximum allowable supply water amount of the kth pipe;

[0166] WGP k,t is the supply water amount of the kth combined pipe in the tth time interval;

[0167] WGP k,max is the maximum allowable supply water amount of the kth combined pipe;

[0168] 5) Reservoir inflow water amount balance

[0169]

[0170] where is the reservoir inflow water amount in the tth time interval;

[0171] is the reservoir interval water amount in the tth time interval;

[0172] is the reservoir outflow water amount in the tth time interval;

[0173] 6) Reservoir water amount balance

[0174]

[0175]

[0176]

[0177] WSP k,t is the water supply amount of the kth pipe in the tth period;

[0178] VSL t , VZF t is the water loss amount of the reservoir in the tth period;

[0179] β, γ t are the water loss coefficient and the tth period evaporation loss coefficient of the reservoir, respectively;

[0180] 7) Combined pipe water balance

[0181]

[0182] WGP kk,t is the water supply amount of the kth combined pipe in the tth period;

[0183] B kk is a single pipe set connected with the kth combined pipe.

[0184] Embodiment

[0185] The following is a water supply scheduling of a certain reservoir as an implementation object, and a multi-objective and multi-scale balanced coupling reservoir water supply scheduling method provided by the application is specifically described, and the scheduling operation process of the reservoir and the water supply process of each water user are calculated.

[0186] The implementation steps of the application are as follows:

[0187] Step one:

[0188] Collect and organize the reservoir information, water user information, water supply pipe network information and other related data of a certain reservoir, and the generalization graph of the water supply topological relationship of the certain reservoir is shown in Figure 1 .

[0189] Step two:

[0190] The water supply topological relationship of the certain reservoir is constructed, mainly including the connection relationship of the water source and the water supply pipe and the connection relationship of the water user and the water supply pipe.

[0191] Step three:

[0192] According to the damage depth DP i,t of the water user in each period in the scheduling period, the period maximum damage depth FDP of the water user in a single period is calculated, wherein:

[0193] FDP = max i∈M {g(DP i,max )} (1)

[0194] DP i,max=max t∈T {DP i,t} (2)

[0195]

[0196] Where, FDP is the maximum damage depth of the time period; DP i,t is the damage depth of the i-th water-using object in the t-th period; DP i,max is the maximum damage depth of the scheduling period of the i-th water-using object; DP i,allow is the maximum allowable damage depth of the i-th water-using object; w i is the importance coefficient of the i-th water user; and ψ represent the weight coefficients of the damage depth below and above the maximum allowable damage depth, respectively. T is the number of scheduling periods; M is the number of water users.

[0197] Step 4:

[0198] According to the storage capacity V corresponding to the reservoir water level in each period t , and the storage capacity V corresponding to the dead water level of the reservoir min , calculate the cumulative reservoir water supply FV, where:

[0199]

[0200] Where FV is the cumulative reservoir water supply, V t is the storage capacity corresponding to the water level in the tth period of the reservoir; is the storage capacity corresponding to the minimum limit water level of the reservoir in the tth period; T is the number of scheduling periods.

[0201] Step 5:

[0202] The two objectives of maximum damage depth and cumulative reservoir water supply are weighted, and a reservoir water supply optimization scheduling model based on the minimum maximum damage depth in a certain reservoir area is established, where:

[0203] minF=α1·FDP-α2·FV (5)

[0204] Where α1 is the weight coefficient of the target of minimizing the maximum damage depth during the time period; α2 is the weight coefficient of the target of maximizing the cumulative reservoir water supply.

[0205] Model constraints include the following:

[0206] 1) Reservoir capacity upper and lower limit constraints: The lower limit of the reservoir capacity is set to the storage capacity corresponding to the dead water level, the upper limit of the reservoir capacity is set to the storage capacity corresponding to the flood limit water level during the flood season, and the storage capacity corresponding to the normal water level during other periods.

[0207] 2) Reservoir outflow constraint: the minimum value of reservoir outflow is set as ecological water volume, and the maximum value is set as safety water volume considering downstream flood control safety;

[0208] 3) Water consumption object water consumption constraint: the lower limit of water consumption object water consumption is set as 0, and the upper limit is set as water consumption object water demand;

[0209] 4) Pipe water supply constraint: the lower limit of pipe water supply is set as 0, and the upper limit is set as pipe water supply capacity;

[0210] 5) Reservoir inflow balance;

[0211] 6) Reservoir water volume balance;

[0212] 7) Combined pipe water volume balance.

[0213] Step six:

[0214] The linear programming method is used to solve the established reservoir water supply optimization scheduling model based on the minimum time period maximum damage depth, and the water supply scheme of the reservoir in each scheduling period and the water consumption scheme of each water consumption object are obtained according to the solving result.

[0215] After the implementation of the technical scheme, the damage depths of the three water consumption units of life, industry and agriculture are 0.3, 0.4 and 0.5 respectively; the water demand of each period is shown in Table 1.

[0216] The reservoir scheduling process is shown in Figure 2 .

[0217] As can be seen from the figure, the reservoir outflow is the ecological flow, the reservoir water level at the end of the scheduling period is reduced to the dead water level, and the scheduling process is reasonable. The monthly damage depths of different types of water consumption objects are shown in Figure 3 . As can be seen from the figure, agriculture, industry and life all appear water shortage, the damage depth of each period of agriculture is the maximum allowed damage depth, the damage depth of each period of industry is the maximum allowed damage depth, and the damage depth of each period of life is 0.1, which does not exceed the maximum allowed damage depth. The water distribution result is reasonable and meets the model optimization criteria.

[0218] Table 1 Water consumption unit water demand (10 3 )

[0219] Period Agriculture Industry Life January 41.85 30 9.57 February 22.42 30 9.57 March 21.91 30 9.57 April 13.43 30 9.57 May 11.74 30 9.57 June 74.87 30 9.57 July 53.49 30 9.57 August 74.87 30 9.57 September 102.57 30 9.57 October 153.53 30 9.57 November 95.07 30 9.57 December 119.18 30 9.57

[0220] The above-mentioned are only some specific embodiments of the present application, and the specific content or common sense in the scheme is not described too much (including but not limited to abbreviations, abbreviations). It should be pointed out that the above-mentioned embodiments do not limit the present application in any way, and any technical solution obtained by equivalent replacement or equivalent transformation for those skilled in the art falls within the protection scope of the present application. The protection scope claimed by the present application should be subject to the content of its claims, and the specific implementation mode and the like recorded in the specification can be used to explain the content of the claims.

Claims

1. A reservoir water supply optimization scheduling method with multi-objective and multi-scale equilibrium coupling, characterized by: The reservoir water supply optimization scheduling method establishes a reservoir water supply optimization scheduling model based on minimizing the maximum damage depth in a period of time by constructing an objective function of minimizing the maximum damage depth in a period of time and maximizing the cumulative reservoir water supply, and combining relevant constraints of reservoir water supply scheduling; The reservoir water supply optimization scheduling model based on the minimum maximum damage depth in a time period includes the following steps when calculating the reservoir water supply scheduling plan: Step 1: According to the damage depth DP of the water user in each period during the scheduling period i,t , obtain the maximum damage depth FDP of the water-using object in a single period; The maximum damage depth during the period is described as follows: FDP=max i∈M {g(DP i,max )} (1) DP i,max =max t∈T {DP i,t } (2) Where, FDP is the maximum damage depth of the time period; DP i,t is the damage depth of the i-th water user in the t-th period; DP i,max is the maximum damage depth of the scheduling period of the i-th water-using object; DP i,allow is the maximum allowable destruction depth of the i-th water-using object; w i is the importance coefficient of the i-th water user; and ψ represent the weight coefficients of the damage depth below and above the maximum allowable damage depth, respectively. T is the number of scheduling periods; M is the number of water users; Step 2: According to the reservoir capacity V corresponding to the reservoir water level in each period t The storage capacity V corresponding to the dead water level of the reservoir min , obtain the cumulative reservoir water supply FV; The cumulative water supply of the reservoir during the entire configuration period is described as formula (4): Where FV is the cumulative reservoir water supply, V t is the storage capacity corresponding to the water level in the tth period of the reservoir; is the storage capacity corresponding to the minimum restricted water level of the reservoir in the tth period; T is the number of scheduling periods; Step 3: Assign weights to the two objectives of the maximum damage depth and the cumulative reservoir water supply, and establish a reservoir water supply optimization scheduling model based on the minimum maximum damage depth in the period; the model objective function is described as formula (5): minF=α1·FDP-α2·FV (5) Where α1 is the weight coefficient of the minimum target of maximum damage depth in the time period; α2 is the weight coefficient of the maximum target of cumulative reservoir water supply; Step 4: Use the linear programming method to solve the reservoir water supply optimization scheduling model based on the maximum damage depth and minimum time period, and obtain the water supply plan for each scheduling period of the reservoir according to the solution results; The reservoir water supply optimization scheduling model based on the minimum maximum damage depth in a time period includes four upper and lower boundary constraints of variables: 1) Upper and lower limits of reservoir capacity; 2) Reservoir outflow constraints; 3) Constraints on the upper limit of water consumption for water users; 4) Pipeline water supply constraints; The reservoir water supply optimization scheduling model based on the minimum maximum damage depth in a time period includes three balance constraints: 5) Reservoir inflow balance; 6) Reservoir water balance; 7) Combined pipeline water balance.

2. The reservoir water supply optimization scheduling method with multi-objective and multi-scale equilibrium coupling according to claim 1 is characterized in that: The reservoir water supply optimization scheduling model based on the maximum damage depth and the minimum damage depth in a time period includes the following steps: Step 1: According to the damage depth of the water user in each period during the scheduling period, obtain the maximum damage depth of the water user in a single period; Step 2: Obtain the cumulative available water volume of the reservoir based on the reservoir capacity corresponding to the reservoir water level in each period and the reservoir capacity corresponding to the dead water level; Step 3: Assign weights to the two objectives of maximum damage depth and cumulative reservoir water supply during the period, and establish a reservoir water supply optimization scheduling model based on the minimum maximum damage depth during the period; Step 4: Use the linear programming method to solve the reservoir water supply optimization scheduling model based on the minimum maximum damage depth in each time period, and obtain the water supply plan for each scheduling period of the reservoir based on the solution results.

3. The reservoir water supply optimization scheduling method with multi-objective and multi-scale equilibrium coupling according to claim 1 is characterized in that: The reservoir water supply optimization scheduling model based on the minimum maximum damage depth in a time period includes four variable upper and lower boundary constraints, specifically: 1) Upper and lower limits of reservoir capacity: Where V t is the storage capacity corresponding to the water level of the reservoir in period t; is the storage capacity corresponding to the minimum restricted water level of the reservoir in period t; V t up is the storage capacity corresponding to the maximum restricted water level of the reservoir in period t; 2) Reservoir outflow constraints: Where Q t is the outflow of the reservoir in period t; is the minimum allowable outflow of the reservoir in period t; is the maximum allowable outflow of the reservoir in period t; 3) Constraints on the upper limit of water consumption for water users: Where WU i,t is the water consumption of the i-th water user in the t-th period; is the water demand of the i-th water user in the t-th period; 4) Pipeline water supply constraints: 0≤WSP k,t ≤WSP k,max (9) 0≤WGP k,t ≤WGP k,max (10) Where WSP k,t is the water supply of the kth pipeline in the tth period; WSP k,max is the maximum allowable water supply of the kth pipe; WGP k,t is the water supply of the kth combined pipeline in the tth period; WGP k,max is the maximum allowable water supply of the kth combined pipe.

4. The reservoir water supply optimization scheduling method with multi-objective and multi-scale equilibrium coupling according to claim 1 is characterized in that: The reservoir water supply optimization scheduling model based on the minimum maximum damage depth in a time period includes three balance constraints: 5) Reservoir inflow balance Where, is the amount of water entering the reservoir during period t; is the interval water volume of the reservoir in period t; is the water discharge from the reservoir in period t; 6) Reservoir water balance Where WSP k,t is the water supply of pipeline k in period t; VSL t 、VZF t is the amount of water lost through leakage and evaporation in the reservoir at period t; β, γ t are the reservoir leakage loss coefficient and the evaporation loss coefficient in period t respectively; 7) Combined pipeline water balance Where, WGP kk,t is the water supply of the kkth combined pipeline in the tth period; B kk is the set of single pipelines connected to the k-th combined pipeline.

Citation Information

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