CN116882688A - Coupling optimization model of reservoir dispatching and water resource allocation two systems - Google Patents
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Abstract
The invention discloses a coupling optimization model of two systems of reservoir dispatching and water resource allocation, which comprises the following steps: setting a general target for the supply-adjustment-need system optimization model, setting constraint conditions of the supply-adjustment-need system optimization model, determining decision variables of the supply-adjustment-need system optimization model, and solving the supply-adjustment-need system optimization model by adopting an efficient optimization algorithm. The invention adopts the coupling optimization model of the reservoir dispatching and water resource allocation two systems, couples the reservoir dispatching and the water resource allocation into a whole system based on the variable process of the adjustable water quantity of a water source area and the water demand quantity of a water receiving area, constructs a time-varying coupling model of a water supply-regulation-demand system of a cross-basin water-regulation project through a general project water supply-regulation-water distribution water resource network, and optimizes a time-varying process of a supply side according to a time-varying process of a demand side, thereby realizing the optimal dispatching of the water supply project and the water resource optimal allocation of a regional water distribution project and providing references for decision makers to carry out water resource planning and management.
Description
Technical Field
The invention relates to a reservoir dispatching and water resource allocation optimization technology, in particular to a coupling optimization model of two systems of reservoir dispatching and water resource allocation.
Background
At present, the single problem of reservoir optimal scheduling and water resource optimal allocation is studied more, and the construction method of each optimal model is relatively mature.
The reservoir optimization scheduling model is often optimized by taking a water supply scheduling diagram as a decision. Zhou Huicheng and the like are used for establishing a multi-target joint scheduling model with the maximum water supply and highest water diversion efficiency aiming at the joint scheduling problem of water diversion and water supply of the water receiving reservoir in the cross-river diversion engineering, decomposing the multi-target joint scheduling model into two single-target scheduling models, and solving a water receiving reservoir water diversion and water supply joint scheduling diagram and scheduling rules thereof by applying a long-series simulation optimization method. Peng Anbang, peng Yong and the like are used for solving a cross-basin reservoir group drainage (water regulation) and water supply joint scheduling diagram aiming at the characteristic of high-dimensional nonlinearity and dynamic property of cross-basin reservoir group optimal scheduling.
The cross-river basin water transfer project relates to water distribution of a water transfer area and a water receiving area, and water resource optimization configuration is often optimized for a planned horizontal year in the future. Wang Jinfeng et al propose a theoretical model of space-time optimal configuration for inter-regional water diversion, which realizes the allocation of time, space and departments to water resources by setting the target and related constraint of optimal operation of water diversion engineering. However, for the cross-river basin water diversion project, the water supply is considered, and the diversion rule is optimized by combining the future time-varying process of the adjustable water quantity of the water supply area. On the other hand, the future water demand process of the water receiving area is changed along with time, and the water distribution amount of a certain planning year is only considered, so that the requirement of refined water distribution is difficult to meet.
Disclosure of Invention
In order to solve the problems, the invention provides a coupling optimization model of two systems of reservoir dispatching and water resource allocation, which is based on the variable process of adjustable water quantity in a water source area and water demand in a water receiving area, couples the reservoir dispatching and the water resource allocation into a whole system, constructs a time-varying coupling model of a water supply-regulation-demand system of a cross-basin water regulation project through a general project water supply-regulation-water distribution resource network, and optimizes a time-varying process of a supply side according to a time-varying process of a demand side, thereby realizing the optimal dispatching of the water supply project and the water resource optimal allocation of the regional water distribution project and providing references for decision makers to conduct water resource planning and management.
In order to achieve the above purpose, the invention provides a coupling optimization model of two systems of reservoir dispatching and water resource allocation, which comprises the following steps:
s1, setting a general target for a supply-adjustment-demand system optimization model;
s2, setting constraint conditions of a supply-adjustment-demand system optimization model;
s3, determining decision variables of a supply-modulation-demand system optimization model:
in the water supply-regulation system, a diversion-water supply scheduling diagram is set as a decision variable according to the characteristics of a regulation node based on the time-varying process of the adjustable water quantity provided by a water supply area; in the water-demand system, firstly, the water resource demand of a water receiving area is generalized into a multi-water receiving unit network, the water demand time-varying process of each water receiving unit is defined, then the water-demand system optimizes the external water-demand process and the local water source of the water receiving area to form a multi-water source, the time-interval water distribution proportion of the multi-water source to a plurality of users of the water receiving area is set as a decision variable, and finally, the system overall optimization is carried out through inputting the water demand time-varying process of the water supply area and the water demand time-varying process of the water receiving area, so as to realize bilateral time-varying coupling of supply and demand;
s4, carrying out supply-adjustment-need system optimization model solving by adopting a high-efficiency optimization algorithm.
Preferably, the step S1 specifically includes the following steps:
s11, collecting the time period of i: water demand D of water level-storage capacity curve and water receiving area of regulating and storing reservoir i And water supply amount R i ；
S12, constructing a model by utilizing various parameters of a reservoir, and taking the minimum water shortage amount of the time-varying process at the demand side as a target to obtain the following objective function:
d is the water shortage in the time-varying process of the demand side; d (D) i Water demand for period i; r is R i Water supply amount for period i; t is the total number of time periods.
Preferably, the constraint condition described in step S2 includes: water balance constraint; water storage capacity constraint; a reservoir level constraint; maximum water supply constraint; the water level of the dispatching line is not cross-constrained; water conveying capacity constraint of the water conveying tunnel; water delivery capacity constraint of the water distribution pipeline; the annual average of groundwater controls the production constraint.
Preferably, the water balance constraint formula is:
V t+1 ＝V t +I t Δt-E t -O t Δt (2)
wherein V is t+1 For the water storage capacity of the reservoir at the end of the period of t, V t The water storage capacity of the primary reservoir is t time period; i t The unit is m, and the average warehousing flow is t time periods 3 /s；E t Represents the evaporation capacity of the reservoir in the t period, and the unit is m 3 ；O t For a constant delivery flow in t time periods, the unit is m 3 S; Δt is the period length, and the unit is s;
the water storage constraint formula is:
S min ≤S t ≤S max (3)
wherein S is min S is the lower limit of the water storage capacity of the reservoir max S is the upper limit of the water storage capacity of the reservoir t Reservoir water storage capacity at the beginning of the t-th period;
the reservoir level constraint formula is:
L min ≤L t ≤L max (4)
wherein L is min For dead water level, L max Limiting water level in flood period and normal water level in non-flood period, L t The primary reservoir water level is t time periods;
the maximum water supply constraint formula is:
P t ≤P max (5)
wherein P is t For regulating water quantity of reservoir in t period P max The maximum adjustable water quantity of the reservoir is obtained;
the constraint formula of the water conveying capacity of the water conveying tunnel is as follows:
Q t ≤Q max (6)
wherein Q is t Representing the water quantity transported by a t-period water transport tunnel, Q max Representing the maximum water delivery capacity of the water delivery tunnel;
the water delivery capacity constraint formula of the water distribution pipeline is as follows:
R t ≤R max (7)
wherein R is t Representing the water quantity delivered by a water distribution pipeline in a t period; r is R max Representing the maximum transportable water quantity of the water distribution pipeline;
the constraint formula of the annual average control exploitation amount of the underground water is as follows:
G≤G max (8)
wherein G is max Allowing production for groundwater.
Preferably, in step S3, the water supply-regulation system involves two parts of water diversion and water supply regulation; the water diversion line divides the water level space into two parts of water diversion and water diversion, and the water diversion line consists of water level values in T time periods; the water supply rule considers k water users, and each water user limit line is composed of water level variables of T time periods, namely k multiplied by T water supply decision variables; so the supply-modulation system has (k+1) x T decision variables;
the decision variable in the tuning-demand system is the time period water distribution ratio of n water sources to k users.
Preferably, in step S4, the supply side time-varying process is optimized, the water volume adjustable process of the water regulation area and the water demand process of the water receiving area are input, and a model solution is performed by adopting a high-efficiency optimization algorithm, so as to obtain an optimization scheme of multi-water source joint scheduling through regulation and storage engineering and an optimization scheme of high-efficiency configuration of the water receiving area of multiple water sources and multiple users, thereby realizing double-side time-varying coupling of supply and demand.
Compared with the prior art, the invention has the following beneficial effects:
1. the reservoir dispatching and water resource allocation double systems are coupled, so that various water sources in a water dispatching area and a water receiving area are dissolved into a whole, the water sources are mutually compensated, the time-varying process on the supply side of the water resource allocation system is optimized, the optimal allocation of water resources is realized, and the fine coupling optimization of the time-varying process of the cross-river basin water dispatching engineering is realized through integral optimization;
2. based on the variable process of the adjustable water quantity of the water source area and the water demand of the water receiving area, reservoir dispatching and water resource allocation are coupled into a whole system, a long-series time-varying coupling optimization model of 'supply-dispatching-demand' is constructed through a generalized engineering 'water supply-regulation-water distribution' water resource network, and then the supply-side time-varying process is optimized according to the demand-side time-varying process, so that the optimized dispatching of a water supply project and the water resource optimized allocation of an area water distribution project are realized, and references are provided for decision makers to conduct water resource planning and management.
The technical scheme of the invention is further described in detail through the drawings and the embodiments.
Drawings
Fig. 1 is a schematic flow chart of the present invention.
Detailed Description
The present invention will be further described with reference to the accompanying drawings, and it should be noted that, while the present embodiment provides a detailed implementation and a specific operation process on the premise of the present technical solution, the protection scope of the present invention is not limited to the present embodiment.
The method is applied to a Wei-Wei engineering, which is a major infrastructure project planned to be built from the relatively abundant water resources of the Han river basin in the southern Shaanxi region to the Wei river region with serious water shortage, so that the problem of water resource shortage in the Wei river basin region is relieved, and the ecological environment of the Wei river basin is improved. The project water regulation mainly solves the problem that water is supplied from important cities, counties and industrial parks along the Wei river bank, gradually returns the squeezed agricultural and ecological water, relieves the contradiction between the cities and the agricultural and ecological water, and provides conditions for water-saving resource allocation of Shanxi provinces. The water guiding and regulating tunnel direct supply mode and the three-river water warehouse are used for regulating two water supply modes, and the four water sources are jointly regulated in addition to local surface water, underground water and reclaimed water.
As shown in fig. 1, a coupling optimization model of two systems of reservoir dispatching and water resource allocation comprises the following steps:
s1, setting a general target for a supply-adjustment-demand system optimization model;
preferably, the step S1 specifically includes the following steps:
s11, collecting the time period of i: water demand D of water level-storage capacity curve and water receiving area of regulating and storing reservoir i And water supply amount R i ；
S12, constructing a model by utilizing various parameters of a reservoir, and taking the minimum water shortage amount of the time-varying process at the demand side as a target to obtain the following objective function:
d is the water shortage in the time-varying process of the demand side; d (D) i Water demand for period i; r is R i Water supply amount for period i; t is the total number of time periods.
S2, setting constraint conditions of a supply-adjustment-demand system optimization model;
preferably, the constraint condition described in step S2 includes: water balance constraint; water storage capacity constraint; a reservoir level constraint; maximum water supply constraint; the water level of the dispatching line is not cross-constrained; water conveying capacity constraint of the water conveying tunnel; water delivery capacity constraint of the water distribution pipeline; the annual average of groundwater controls the production constraint.
Preferably, the water balance constraint formula is:
V t+1 ＝V t +I t Δt-E t -O t Δt (2)
wherein V is t+1 For the water storage capacity of the reservoir at the end of the period of t, V t The water storage capacity of the primary reservoir is t time period; i t The unit is m, and the average warehousing flow is t time periods 3 /s；E t Represents the evaporation capacity of the reservoir in the t period, and the unit is m 3 ；O t For a constant delivery flow in t time periods, the unit is m 3 S; Δt is the period length, and the unit is s;
the water storage constraint formula is:
S min ≤S t ≤S max (3)
wherein S is min The lower limit of the water storage capacity of the reservoir is generally the corresponding reservoir capacity of the dead water level, S max The upper limit of the water storage capacity of the reservoir is generally the limit of the water level corresponding to the reservoir capacity in the flood season, S t Reservoir water storage capacity at the beginning of the t-th period;
the reservoir level constraint formula is:
L min ≤L t ≤L max (4)
wherein L is min For dead water level, L max Limiting water level in flood period and normal water level in non-flood period, L t The primary reservoir water level is t time periods;
the maximum water supply constraint formula is:
P t ≤P max (5)
wherein P is t For regulating water quantity of reservoir in t period P max The maximum adjustable water quantity of the reservoir is obtained;
the constraint formula of the water conveying capacity of the water conveying tunnel is as follows:
Q t ≤Q max (6)
wherein Q is t Representing the water quantity transported by a t-period water transport tunnel, Q max Representing the maximum water delivery capacity of the water delivery tunnel;
the water delivery capacity constraint formula of the water distribution pipeline is as follows:
R t ≤R max (7)
wherein R is t Representing the water quantity delivered by a water distribution pipeline in a t period; r is R max Representing the maximum transportable water quantity of the water distribution pipeline;
the constraint formula of the annual average control exploitation amount of the underground water is as follows:
G≤G max (8)
wherein G is max Allowing production for groundwater.
S3, determining decision variables of a supply-modulation-demand system optimization model:
in the water supply-regulation system, a diversion-water supply scheduling diagram is set as a decision variable according to the characteristics of a regulation node based on the time-varying process of the adjustable water quantity provided by a water supply area; in the water-demand system, firstly, the water resource demand of a water receiving area is generalized into a multi-water receiving unit network, the water demand time-varying process of each water receiving unit is defined, then the water-demand system optimizes the external water-demand process and the local water source of the water receiving area to form a multi-water source, the time-interval water distribution proportion of the multi-water source to a plurality of users of the water receiving area is set as a decision variable, and finally, the system overall optimization is carried out through inputting the water demand time-varying process of the water supply area and the water demand time-varying process of the water receiving area, so as to realize bilateral time-varying coupling of supply and demand;
preferably, in step S3, the water supply-regulation system involves two parts of water diversion and water supply regulation; the water diversion line divides the water level space into two parts of water diversion and water diversion, and the water diversion line consists of water level values in T time periods; the water supply rule considers k water users, and each water user limit line is composed of water level variables of T time periods, namely k multiplied by T water supply decision variables; so the supply-modulation system has (k+1) x T decision variables;
the decision variable in the system is the time period water distribution ratio of n water sources to k users, and the decision variable is n× (x1+x2+ … +xk) x T number if the total number of users is x1 water using units, the total number of users is x2 water using units, the total number of users is xk water using units and the total time period is T.
In the embodiment, ten days is taken as a calculation period, and the water diversion rule in the supply-regulation system consists of 36 ten-day water level values; the water supply rule considers three water users, each water user limit line is composed of 36 ten-day water level variables, and 108 water supply decision variables exist; therefore, the water guiding and supplying rule has 144 decision variables, and the water guiding and supplying schedule diagram;
in the system, decision variables are the proportion of water distribution from multiple water sources to multiple water sources in a period of time, in the embodiment, four water sources are shared, three water users are shared, and if the total number of users is x1 water using units, the total number of users is x2 water using units, the total number of users is x3 water using units, and the total number of time periods is 36 ten days, the decision variables is 4× (x1+x2+x3) ×36.
S4, carrying out supply-adjustment-need system optimization model solving by adopting a high-efficiency optimization algorithm.
Preferably, in step S4, the supply side time-varying process is optimized, the water volume adjustable process of the water regulation area and the water demand process of the water receiving area are input, and a model solution is performed by adopting a high-efficiency optimization algorithm, so as to obtain an optimization scheme of multi-water source joint scheduling through regulation and storage engineering and an optimization scheme of high-efficiency configuration of the water receiving area of multiple water sources and multiple users, thereby realizing double-side time-varying coupling of supply and demand.
Therefore, the reservoir dispatching and water resource allocation are coupled into a whole system based on the variable process of the adjustable water quantity in the water source area and the water demand in the water receiving area by adopting the coupling optimization model of the two systems of reservoir dispatching and water resource allocation, the time-varying coupling model of the water supply-dispatching-demand system of the cross-basin dispatching project is constructed through the general project water supply-regulation-water distribution water resource network, and then the time-varying process of the supply side is optimized according to the time-varying process of the demand side, so that the optimal dispatching of the water supply project and the water resource optimal allocation of the regional dispatching project are realized, and references are provided for decision makers to conduct water resource planning and management.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention and not for limiting it, and although the present invention has been described in detail with reference to the preferred embodiments, it will be understood by those skilled in the art that: the technical scheme of the invention can be modified or replaced by the same, and the modified technical scheme cannot deviate from the spirit and scope of the technical scheme of the invention.
Claims (6)
1. A coupling optimization model of two systems of reservoir dispatching and water resource allocation is characterized in that: the method comprises the following steps:
s1, setting a general target for a supply-adjustment-demand system optimization model;
s2, setting constraint conditions of a supply-adjustment-demand system optimization model;
s3, determining decision variables of a supply-modulation-demand system optimization model:
in the water supply-regulation system, a diversion-water supply scheduling diagram is set as a decision variable according to the characteristics of a regulation node based on the time-varying process of the adjustable water quantity provided by a water supply area; in the water-demand system, firstly, the water resource demand of a water receiving area is generalized into a multi-water receiving unit network, the water demand time-varying process of each water receiving unit is defined, then the water-demand system optimizes the external water-demand process and the local water source of the water receiving area to form a multi-water source, the time-interval water distribution proportion of the multi-water source to a plurality of users of the water receiving area is set as a decision variable, and finally, the system overall optimization is carried out through inputting the water demand time-varying process of the water supply area and the water demand time-varying process of the water receiving area, so as to realize bilateral time-varying coupling of supply and demand;
s4, carrying out supply-adjustment-need system optimization model solving by adopting a high-efficiency optimization algorithm.
2. The coupling optimization model of two systems of reservoir dispatching and water resource allocation as claimed in claim 1, wherein: the step S1 specifically comprises the following steps:
s11, collecting the time period of i: water demand D of water level-storage capacity curve and water receiving area of regulating and storing reservoir i And water supply amount R i ；
S12, constructing a model by utilizing various parameters of a reservoir, and taking the minimum water shortage amount of the time-varying process at the demand side as a target to obtain the following objective function:
d is the water shortage in the time-varying process of the demand side; d (D) i Water demand for period i; r is R i For period iWater supply amount; t is the total number of time periods.
3. The coupling optimization model of two systems of reservoir dispatching and water resource allocation as claimed in claim 1, wherein: the constraint conditions described in step S2 include: water balance constraint; water storage capacity constraint; a reservoir level constraint; maximum water supply constraint; the water level of the dispatching line is not cross-constrained; water conveying capacity constraint of the water conveying tunnel; water delivery capacity constraint of the water distribution pipeline; the annual average of groundwater controls the production constraint.
4. The coupling optimization model of two systems of reservoir dispatching and water resource allocation as claimed in claim 2, wherein: the water balance constraint formula is:
V t+1 ＝V t +I t Δt-E t -O t Δt (2)
wherein V is t+1 For the water storage capacity of the reservoir at the end of the period of t, V t The water storage capacity of the primary reservoir is t time period; i t The unit is m, and the average warehousing flow is t time periods 3 /s；E t Represents the evaporation capacity of the reservoir in the t period, and the unit is m 3 ；O t For a constant delivery flow in t time periods, the unit is m 3 S; Δt is the period length, and the unit is s;
the water storage constraint formula is:
S min ≤S t ≤S max (3)
wherein S is min S is the lower limit of the water storage capacity of the reservoir max S is the upper limit of the water storage capacity of the reservoir t Reservoir water storage capacity at the beginning of the t-th period;
the reservoir level constraint formula is:
L min ≤L t ≤L max (4)
wherein L is min For dead water level, L max Limiting water level in flood period and normal water level in non-flood period, L t The primary reservoir water level is t time periods;
the maximum water supply constraint formula is:
P t ≤P max (5)
wherein P is t For regulating water quantity of reservoir in t period P max The maximum adjustable water quantity of the reservoir is obtained;
the constraint formula of the water conveying capacity of the water conveying tunnel is as follows:
Q t ≤Q max (6)
wherein Q is t Representing the water quantity transported by a t-period water transport tunnel, Q max Representing the maximum water delivery capacity of the water delivery tunnel;
the water delivery capacity constraint formula of the water distribution pipeline is as follows:
R t ≤R max (7)
wherein R is t Representing the water quantity delivered by a water distribution pipeline in a t period; r is R max Representing the maximum transportable water quantity of the water distribution pipeline;
the constraint formula of the annual average control exploitation amount of the underground water is as follows:
G≤G max (8)
wherein G is max Allowing production for groundwater.
5. The coupling optimization model of two systems of reservoir dispatching and water resource allocation as claimed in claim 1, wherein: in step S3, the water supply-regulation system involves two parts of water diversion and water supply rules; the water diversion line divides the water level space into two parts of water diversion and water diversion, and the water diversion line consists of water level values in T time periods; the water supply rule considers k water users, and each water user limit line is composed of water level variables of T time periods, namely k multiplied by T water supply decision variables; so the supply-modulation system has (k+1) x T decision variables;
the decision variable in the tuning-demand system is the time period water distribution ratio of n water sources to k users.
6. The coupling optimization model of two systems of reservoir dispatching and water resource allocation as claimed in claim 1, wherein: in step S4, optimizing the time-varying process at the supply side, inputting the water quantity adjusting process of the water adjusting area and the water quantity required process of the water receiving area, and carrying out model solving by adopting a high-efficiency optimization algorithm to obtain an optimization scheme of multi-water source joint scheduling through the regulation and storage engineering and a multi-water source multi-user water receiving area high-efficiency configuration optimization scheme, thereby realizing double-side time-varying coupling of supply and demand.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN117557066A (en) * | 2024-01-09 | 2024-02-13 | 陕西省水利电力勘测设计研究院 | Multi-dimensional balanced regulation-based cross-river basin water transfer engineering optimization scheduling method |
| CN117592758A (en) * | 2024-01-16 | 2024-02-23 | 陕西省水利电力勘测设计研究院 | Combined scheduling method for multiple cross-river-basin water-regulating patterns |
| CN117875519A (en) * | 2024-03-11 | 2024-04-12 | 陕西省水利电力勘测设计研究院 | Water supply scheduling method based on parallel reservoir system |
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- 2023-07-17 CN CN202310873516.6A patent/CN116882688A/en active Pending
Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117557066A (en) * | 2024-01-09 | 2024-02-13 | 陕西省水利电力勘测设计研究院 | Multi-dimensional balanced regulation-based cross-river basin water transfer engineering optimization scheduling method |
| CN117557066B (en) * | 2024-01-09 | 2024-05-03 | 陕西省水利电力勘测设计研究院 | Multi-dimensional balanced regulation-based cross-river basin water transfer engineering optimization scheduling method |
| CN117592758A (en) * | 2024-01-16 | 2024-02-23 | 陕西省水利电力勘测设计研究院 | Combined scheduling method for multiple cross-river-basin water-regulating patterns |
| CN117592758B (en) * | 2024-01-16 | 2024-04-12 | 陕西省水利电力勘测设计研究院 | Combined scheduling method for multiple cross-river-basin water-regulating patterns |
| CN117875519A (en) * | 2024-03-11 | 2024-04-12 | 陕西省水利电力勘测设计研究院 | Water supply scheduling method based on parallel reservoir system |
| CN117875519B (en) * | 2024-03-11 | 2024-06-04 | 陕西省水利电力勘测设计研究院 | Water supply scheduling method based on parallel reservoir system |
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