An ADMM-based inter-provincial and inter-regional backup scheduling and reservation collaborative optimization method

Abstract

The present application relates to the field of power system and automation, in particular to a kind of inter-provincial inter-regional reserve scheduling and reservation collaborative optimization method based on ADMM, steps are as follows: with the minimum inter-provincial reserve scheduling settlement and reserve purchase cost as target, network optimization calculation model is established;With the minimum provincial minimum accident dispatching cost as target, provincial dispatching check optimization model is established;With the minimum inter-regional reserve scheduling and reserve purchase cost as target, national dispatching optimization calculation model is established;With the minimum regional minimum accident dispatching cost as target, network dispatching check optimization model is established;The above model is used as the collaborative optimization model of inter-provincial inter-regional reserve scheduling and reservation, and is solved using alternating direction multiplier method, to obtain the optimal collaborative operation scheme.The present application can help to improve the utilization rate of unit reserve resources, relieve the reserve cost of power grid, and further promote the supply and demand mutual aid of power grid reserve resources in a large range under the premise of ensuring the safe operation of power grid at all levels.

Description

Technical Field

[0001] This invention relates to the field of power system and automation technology, and more specifically, to an ADMM-based method for cross-provincial and cross-regional reserve scheduling and reservation collaborative optimization. Background Technology

[0002] With the deepening of the construction of new power systems, my country's power grid is gradually forming a development pattern supported by ultra-high-voltage backbone grids and continuously enhancing inter-regional and inter-provincial resource sharing capabilities. Against this backdrop, the optimal allocation and coordinated dispatch of reserve resources have become key links in ensuring the safe and stable operation of the large power grid, promoting the consumption of clean energy, and improving the system's economic efficiency.

[0003] Currently, my country's reserve management mainly follows the principle of "unified dispatch and hierarchical management," with national, regional, and provincial dispatching agencies responsible for reserve arrangements at different levels. However, in actual operation, cross-provincial and cross-regional reserve deployment and reservation still face many challenges: on the one hand, the load characteristics, power structure, and reserve costs of power grids vary from province to province, resulting in uneven distribution of reserve resources and making it difficult to achieve optimal global allocation; on the other hand, when local power grid accidents or large-scale renewable energy fluctuations occur, existing reserve coordination mechanisms often suffer from slow response, high coordination costs, and a lack of collaborative optimization methods that balance multi-level security constraints and economic benefits. Furthermore, in terms of inter-level optimization solutions, traditional centralized optimization methods are ill-suited to the information privacy and independent decision-making needs of dispatching entities at all levels, while decentralized coordination often faces the dilemma of poor convergence and low optimization efficiency.

[0004] Therefore, there is an urgent need to build a computing framework that can take into account both global optimization and hierarchical autonomy, and realize efficient collaboration between cross-provincial and cross-regional backup calls and reservations, so as to reduce the overall backup cost and improve the power grid's ability to respond to accidents and the level of resource sharing. Summary of the Invention

[0005] The purpose of this invention is to provide a cross-provincial and cross-regional reserve scheduling and reservation collaborative optimization method based on ADMM. It aims to achieve hierarchical optimization and interactive iteration of national, grid, and provincial dispatch centers in reserve resource coordination by constructing a multi-level optimization model and a distributed solution mechanism. Under the premise of ensuring the safe operation of power grids at all levels, it effectively reduces the comprehensive cost of cross-provincial and cross-regional reserve coordination, promotes the spatiotemporal optimization and efficient mutual assistance of reserve resources, and solves the technical problems pointed out in the background art.

[0006] This invention is achieved through the following technical solution: a cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM, comprising the following steps: A network dispatch optimization calculation model is established with the optimization objectives of minimizing cross-provincial standby dispatch settlement costs and minimizing standby reservation purchase costs. To achieve the goal of minimizing the accident dispatch cost to meet the power grid operation safety requirements under different provincial accident scenarios, a provincial dispatch calibration and optimization model is established. A national dispatch optimization calculation model is established with the goal of minimizing the cost of cross-regional standby scheduling and standby reservation purchase. To achieve the goal of minimizing the accident dispatch cost to meet the power grid operation safety requirements under different regional accident scenarios, a grid dispatch verification and optimization model is established. The network dispatch optimization calculation model, provincial dispatch verification optimization model, national dispatch optimization calculation model, and network dispatch verification optimization model are used as a collaborative optimization model for cross-provincial and cross-regional backup scheduling and backup reservation. The optimal collaborative operation scheme is obtained by using the alternating direction multiplier method for distributed iterative solution.

[0007] According to a preferred embodiment, the objective function expression for minimizing the cross-provincial reserve scheduling settlement cost and the reserve reservation purchase cost as optimization objectives is as follows:

[0008] In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. Pricing for inter-provincial backup dispatch. Indicates time period Grid-dispatch and direct-dispatch units The winning bid capacity for cross-provincial backup dispatch. Indicates time period Province Internal inspection and adjustment of generating units No. Pricing for inter-provincial backup dispatch. Indicates time period Province Internal inspection and adjustment of generating units The winning bid capacity for cross-provincial backup dispatch. Represents all the moments of a day. This represents the collection of directly dispatched and grid-dispatched generating units within the region. This indicates the number of segmented pricing segments for cross-provincial standby dispatch. This represents a set of backup provinces across provinces. Indicates province Internal inspection and adjustment of generator units; The objective function expression for minimizing the purchase cost of the backup reserve is as follows:

[0009] In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. Pricing for inter-provincial reserve sections. Indicates time period Grid-dispatch and direct-dispatch units The cross-provincial reserve capacity for winning bids, Indicates time period Province Internal inspection and adjustment of generating units No. Pricing for inter-provincial reserve sections. Indicates time period Province Internal inspection and adjustment of generating units The capacity reserved for cross-provincial backup is the winning bid capacity.

[0010] According to a preferred embodiment, the boundary conditions for minimizing the cross-provincial reserve dispatch settlement cost, which aims to minimize both the cross-provincial reserve dispatch settlement cost and the reserve reservation purchase cost, include: The demand constraint for cross-provincial backup dispatch areas is expressed as follows:

[0011] In the above formula, Indicates time period area Total required capacity for cross-provincial backup dispatch; The provincial demand constraint for cross-provincial backup scheduling is expressed as follows:

[0012] In the above formula, Indicates time period Province Total required capacity for cross-provincial backup dispatch; The capacity constraint for cross-provincial standby dispatch units is expressed as follows:

[0013]

[0014] In the above formula, Indicates grid-dispatch and direct-dispatch units Maximum output Indicates time period Grid-dispatch and direct-dispatch units The electrical energy of the winning bid power, Indicates province Internal inspection and adjustment of generating units Maximum output Indicates time period Province Internal inspection and adjustment of generating units The electrical energy of the winning bid power; The capacity constraint for segmented pricing of cross-provincial standby dispatch is expressed as follows:

[0015]

[0016]

[0017]

[0018] In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. The capacity limit for inter-provincial backup dispatch. for Variable, representing time period Grid-dispatch and direct-dispatch units No. The status of the inter-provincial backup dispatch project. Indicates time period Province Internal inspection and adjustment of generating units No. The capacity limit for inter-provincial backup dispatch. for Variable, representing time period Province Internal inspection and adjustment of generating units No. The status of the inter-provincial backup dispatch project; The boundary conditions for minimizing the purchase cost of the backup reserve include: The requirement constraint for cross-provincial reserve areas is expressed as follows:

[0019] In the above formula, Indicates time period area Total required capacity for cross-provincial backup reserves; The constraint on inter-provincial backup reserve within the province is expressed as follows:

[0020] In the above formula, Indicates time period Province Total required capacity for cross-provincial backup reserves; The constraint on the reserved capacity of cross-provincial standby reserve units is expressed as follows:

[0021]

[0022] The capacity constraint for segmented pricing of cross-provincial standby dispatch is expressed as follows:

[0023]

[0024]

[0025]

[0026] In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. The maximum capacity reserved for cross-provincial backup. for Variable, representing time period Grid-dispatch and direct-dispatch units No. The status of the inter-provincial reserve bid winning bid. Indicates time period Province Internal inspection and adjustment of generating units No. The maximum capacity reserved for cross-provincial backup. for Variable, representing time period Province Internal inspection and adjustment of generating units No. The status of the winning bid for the inter-provincial reserve section; The constraint on the transmission capacity of inter-provincial backup reserved tie lines is expressed as follows:

[0027] In the above formula, Indicates inter-provincial communication line The lower limit of reverse transmission capacity, Indicates time period Inter-provincial connection line The ground state current, Represents a node Injecting unit power for inter-provincial tie lines The power transfer distribution factor, for The variable represents the provincial and directly dispatched generating units. Located at node state, Indicates connection with inter-provincial communication lines The associated set of network nodes Indicates inter-provincial communication line The upper limit of forward transmission capacity.

[0028] According to a preferred embodiment, the objective function expression for minimizing the accident dispatch cost, which aims to meet the power grid operation safety requirements under different provincial accident scenarios, is as follows:

[0029] In the above formula, Indicates time period The settlement price for cross-provincial standby dispatch. Indicates time period Province In the accident The actual cross-provincial reserve capacity under dispatch. Indicates time period The inter-provincial reserve settlement price, Indicates time period Province In the accident The actual reserved and activated cross-provincial backup capacity, Indicates inter-provincial communication line Cost per unit power power transmission Indicates time period Province In the accident This triggered an inter-provincial communication line. Additional trend on top, This indicates a collection of inter-provincial communication lines.

[0030] According to a preferred embodiment, the boundary conditions for minimizing the accident dispatch cost, which aims to meet the power grid operation safety requirements under different provincial accident scenarios, include: The expression for the upper limit constraint of the safety verification power of the provincial power grid is as follows:

[0031]

[0032] In the above formula, Indicates time period Province Scalar for inter-provincial backup dispatch. Indicates time period Province Scalar quantity reserved for cross-provincial use; The reserve supply and demand balance constraint after a safety check accident is expressed as follows:

[0033] In the above formula, Indicates time period Province In the accident The power deficit below; The safety check deliverability constraint is expressed as follows:

[0034] In the above formula, Indicates inter-provincial communication line The lower limit of the safety threshold, Indicates inter-provincial communication line The upper limit of the safety threshold.

[0035] According to a preferred embodiment, the objective function expression for minimizing the cost of cross-regional backup scheduling and backup reservation purchase, with the optimization objective being to minimize these costs, is as follows:

[0036] In the above formula, Indicates time period area With the region The corresponding standby scheduling settlement price, Indicates time period area Transport to the area The backup scheduling capacity, Indicates time period area With the region The corresponding reserve settlement price, Indicates time period area Transport to the area Backup reserve capacity, As a penalty factor, Let be a slack variable, representing the time period. area Unmet backup scheduling requirements Let be a slack variable, representing the time period. area Unmet backup and reserve requirements This represents a set of cross-regional backup and collaborative regions.

[0037] According to a preferred embodiment, in the optimization objective of minimizing the cost of cross-regional backup scheduling and backup reservation purchase, the boundary conditions for minimizing the cost of cross-regional backup scheduling and backup reservation purchase include: The constraints for cross-regional backup scheduling and reserved demand are expressed as follows:

[0038]

[0039] In the above formula, Indicates time period area Total capacity required for cross-regional backup scheduling Indicates time period area Total required capacity for cross-regional backup reserves; The constraints on cross-regional backup scheduling and reserved supply capacity are expressed as follows:

[0040]

[0041] In the above formula, Indicates time period area The maximum cross-regional standby dispatch capacity that can be provided externally. Indicates time period area Maximum cross-regional backup capacity that can be provided externally; The logical constraints for cross-regional backup scheduling and reserved transmission directions are expressed as follows:

[0042] In the above formula, Indicates time period area Transport to the area The backup scheduling capacity, Indicates time period area Transport to the area Backup reserve capacity; The cross-regional standby scheduling and reserved pricing constraints are expressed as follows:

[0043] In the above formula, Indicates time period area Pricing for cross-regional standby dispatch, Indicates time period area introspective domain Pricing for inter-provincial standby dispatch; Indicates time period area introspective domain The system operating costs are shared equally. Indicates time period area Pricing for cross-regional backup reserves. Indicates time period area introspective domain Pricing for cross-provincial reserve provisions. Indicates time period area introspective domain The opportunity cost of unit startup is amortized; The cross-regional standby settlement price constraint is expressed as follows:

[0044]

[0045] In the above formula, Indicates time period From the region To the area The cost of purchasing cross-regional backup dispatching and reserved tie-line transmission is shared equally; The cross-regional network transmission capacity constraint is expressed as follows:

[0046] In the above formula, for Variable, representing from the region To the area The backup transaction power is injected into the node. The state.

[0047] According to a preferred embodiment, the objective function expression for minimizing the accident scheduling cost, which aims to meet the power grid operation safety requirements under different regional accident scenarios, is as follows:

[0048] In the above formula, Indicates time period ACCIDENT The actual situation from the region Transport to the area The backup scheduling capacity, Indicates time period ACCIDENT Lower region Actually a region Activated standby reserved capacity; According to a preferred embodiment, the boundary conditions for minimizing the accident dispatch cost, which aims to meet the power grid operation safety requirements under different regional accident scenarios, include: The constraint on the upper limit of cross-regional standby scheduling power is expressed as follows:

[0049]

[0050] The power balance constraint after a cross-regional backup dispatching incident is expressed as follows:

[0051] In the above formula, Indicates time period In the accident Lower region The power deficit; The deliverability constraint for cross-regional standby scheduling is expressed as follows:

[0052] In the above formula, for Variable, representing from the region Transport to the area Backup transaction power from node The state of the injected network.

[0053] According to a preferred embodiment, in the distributed iterative solution using the alternating direction multiplier method, the first-order and second-order penalty terms for introducing consistency constraints for cross-regional backup scheduling and reservation are expressed as follows:

[0054] In the above formula, Indicates cross-regional standby dispatch and reserved first The first quadratic penalty term in the next iteration Indicates the first The penalty coefficient for cross-regional standby scheduling in the next iteration. Indicates time period area To the region Actual cross-regional backup scheduling capacity in response. Indicates the first The penalty coefficient for cross-regional backup reserve in the next iteration. Indicates time period area To the region Actual cross-regional backup reserve capacity in response. Indicates the first The secondary penalty coefficient for cross-regional standby scheduling in the next iteration. Indicates the first The secondary penalty coefficient for cross-regional backup reserve in the next iteration; The update expression for the cross-regional backup scheduling and reserved penalty coefficient is as follows:

[0055]

[0056] The update expression for the cross-regional backup scheduling and reserved secondary penalty coefficient is as follows:

[0057]

[0058] In the distributed iterative solution using the alternating direction multiplier method, a first-order quadratic penalty term is introduced to introduce consistency constraints for cross-provincial backup scheduling and reservation, expressed as follows:

[0059] In the above formula, Indicates cross-provincial standby dispatch and reserved number The first quadratic penalty term in the next iteration Indicates the first The penalty coefficient for the first iteration of cross-provincial reserve scheduling. Indicates time period Province Settlement of cross-regional standby dispatch capacity, Indicates time period Province Actual cross-regional backup scheduling capacity in response. Indicates the first The penalty coefficient for cross-provincial reserve in the next iteration. Indicates time period Province The cross-regional standby reserve capacity for settlement, Indicates time period Province Actual cross-regional backup reserve capacity in response. Indicates the first The secondary penalty coefficient for cross-provincial reserve scheduling in the next iteration. Indicates the first The secondary penalty coefficient for cross-provincial reserve in the next iteration; The update expression for the cross-provincial reserve scheduling and reserved penalty coefficient is as follows:

[0060]

[0061] The update expression for the cross-provincial reserve scheduling and reserved secondary penalty coefficient is as follows:

[0062]

[0063] The technical solution of the cross-provincial and cross-regional standby scheduling and reservation collaborative optimization method based on ADMM provided by the present invention has at least the following advantages and beneficial effects: The present invention realizes hierarchical optimization and interactive iteration of national dispatch, grid dispatch and provincial dispatch in standby resource coordination by constructing a multi-level optimization model and a distributed solution mechanism. Under the premise of ensuring the safe operation of power grids at all levels, it can help improve the utilization rate of unit standby resources, alleviate power grid standby costs, and further promote the mutual assistance of power grid standby resources in a large area. Attached Figure Description

[0064] Figure 1 A simplified flowchart of the cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method provided in Embodiment 1 of the present invention; Figure 2 This is a schematic diagram of the overall process of the cross-provincial and cross-regional backup scheduling and reserved collaborative optimization method provided in Embodiment 1 of the present invention. Detailed Implementation

[0065] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. The components of the embodiments of the present invention described and shown in the accompanying drawings can generally be arranged and designed in various different configurations.

[0066] Example 1 This invention provides a cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM. Figure 1 A simplified flowchart for the cross-provincial and cross-regional backup scheduling and reserved collaborative optimization methods. Figure 2 For a schematic diagram of the overall process, please refer to [link / reference]. Figure 1 and Figure 2 As shown, the cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method includes the following steps: Step S1: With the optimization objectives of minimizing the settlement cost of cross-provincial standby dispatch and minimizing the purchase cost of standby reservation, establish a network dispatch optimization calculation model to coordinate the mutual support between the surplus and shortage of standby dispatch and reserved resources in each province. Regarding the optimization objectives for cross-provincial backup dispatch: In some implementations of this embodiment, the objective function expression for minimizing the cross-provincial standby scheduling settlement cost is as follows:

[0067] In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. Pricing for inter-provincial backup dispatch. Indicates time period Grid-dispatch and direct-dispatch units The winning bid capacity for cross-provincial backup dispatch. Indicates time period Province Internal inspection and adjustment of generating units No. Pricing for inter-provincial backup dispatch. Indicates time period Province Internal inspection and adjustment of generating units The winning bid capacity for cross-provincial backup dispatch. Represents all the moments of a day. This represents the collection of directly dispatched and grid-dispatched generating units within the region. This indicates the number of segmented pricing segments for cross-provincial standby dispatch. This represents a set of backup provinces across provinces. Indicates province Internal inspection and adjustment of the unit assembly.

[0068] In this embodiment, the boundary conditions for minimizing the cross-provincial standby scheduling settlement cost include: The demand constraint for cross-provincial backup dispatch areas is expressed as follows:

[0069] In the above formula, Indicates time period area Total required capacity for cross-provincial backup dispatch; The provincial demand constraint for cross-provincial backup scheduling is expressed as follows:

[0070] In the above formula, Indicates time period Province Total required capacity for cross-provincial backup dispatch; The capacity constraint for cross-provincial standby dispatch units is expressed as follows:

[0071]

[0072] In the above formula, Indicates grid-dispatch and direct-dispatch units Maximum output Indicates time period Grid-dispatch and direct-dispatch units The electrical energy of the winning bid power, Indicates province Internal inspection and adjustment of generating units Maximum output Indicates time period Province Internal inspection and adjustment of generating units The electrical energy of the winning bid power; The capacity constraint for segmented pricing of cross-provincial standby dispatch is expressed as follows:

[0073]

[0074]

[0075]

[0076] In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. The capacity limit for inter-provincial backup dispatch. for Variable, representing time period Grid-dispatch and direct-dispatch units No. The status of the inter-provincial backup dispatch project. Indicates time period Province Internal inspection and adjustment of generating units No. The capacity limit for inter-provincial backup dispatch. for Variable, representing time period Province Internal inspection and adjustment of generating units No. The status of the inter-provincial backup dispatch.

[0077] Regarding the optimization goals for cross-provincial backup reserves: In some implementations of this embodiment, the objective function expression for minimizing the reserve purchase cost is as follows:

[0078] In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. Pricing for inter-provincial reserve sections. Indicates time period Grid-dispatch and direct-dispatch units The cross-provincial reserve capacity for winning bids, Indicates time period Province Internal inspection and adjustment of generating units No. Pricing for inter-provincial reserve sections. Indicates time period Province Internal inspection and adjustment of generating units The capacity reserved for cross-provincial backup is the winning bid capacity.

[0079] In this embodiment, the boundary conditions for minimizing the cross-provincial reserve purchase cost include: The requirement constraint for cross-provincial reserve areas is expressed as follows:

[0080] In the above formula, Indicates time period area Total required capacity for cross-provincial backup reserves; The constraint on inter-provincial backup reserve within the province is expressed as follows:

[0081] In the above formula, Indicates time period Province Total required capacity for cross-provincial backup reserves; The constraint on the reserved capacity of cross-provincial standby reserve units is expressed as follows:

[0082]

[0083] The capacity constraint for segmented pricing of cross-provincial standby dispatch is expressed as follows:

[0084]

[0085]

[0086]

[0087] In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. The maximum capacity reserved for cross-provincial backup. for Variable, representing time period Grid-dispatch and direct-dispatch units No. The status of the inter-provincial reserve bid winning bid. Indicates time period Province Internal inspection and adjustment of generating units No. The maximum capacity reserved for cross-provincial backup. for Variable, representing time period Province Internal inspection and adjustment of generating units No. The status of the winning bid for the inter-provincial reserve section; The constraint on the transmission capacity of inter-provincial backup reserved tie lines is expressed as follows:

[0088] In the above formula, Indicates inter-provincial communication line The lower limit of reverse transmission capacity, Indicates time period Inter-provincial connection line The ground state current, Represents a node Injecting unit power for inter-provincial tie lines The power transfer distribution factor, for The variable represents the provincial and directly dispatched generating units. Located at node state, Indicates connection with inter-provincial communication lines The associated set of network nodes Indicates inter-provincial communication line The upper limit of forward transmission capacity.

[0089] Step S2: With the goal of minimizing the accident dispatch cost to meet the power grid operation safety requirements under different provincial safety accident scenarios, establish a provincial dispatch verification and optimization model to ensure the smooth transmission of cross-provincial backup dispatch and reserved resources, while ensuring the safe operation of the provincial power grid. In some embodiments of this example, the objective function expression for minimizing the accident scheduling cost, which aims to meet the power grid operation safety requirements under different provincial accident scenarios, is as follows:

[0090] In the above formula, Indicates time period The settlement price for cross-provincial standby dispatch. Indicates time period Province In the accident The actual cross-provincial reserve capacity under dispatch. Indicates time period The inter-provincial reserve settlement price, Indicates time period Province In the accident The actual reserved and activated cross-provincial backup capacity, Indicates inter-provincial communication line Cost per unit power power transmission Indicates time period Province In the accident This triggered an inter-provincial communication line. Additional trend on top, This indicates a collection of inter-provincial communication lines.

[0091] In this embodiment, the boundary conditions for minimum incident scheduling cost include: The provincial power grid safety verification power limit constraint, the actual inter-provincial reserve dispatch amount and the reserved activation amount shall not exceed their scalar values, as expressed below:

[0092]

[0093] In the above formula, Indicates time period Province Scalar for inter-provincial backup dispatch. Indicates time period Province Scalar quantity reserved for cross-provincial use; The reserve supply and demand balance constraint after a safety check accident is expressed as follows:

[0094] In the above formula, Indicates time period Province In the accident The power deficit below; The safety check deliverability constraint ensures that, under an incident, when all available backups are deployed, the power flow of all inter-provincial links in the entire network does not exceed its safety threshold after considering uncertainties. The expression is as follows:

[0095] In the above formula, Indicates inter-provincial communication line Lower limit of safety threshold considering uncertainty Indicates inter-provincial communication line Upper limit of the safety threshold after taking uncertainty into account.

[0096] Step S3: With the goal of minimizing the cost of cross-regional standby scheduling and standby reservation purchase, establish a national dispatch optimization calculation model to coordinate the surplus and shortage of standby scheduling and reserved resources in various regions. In some implementations, the objective function expression for minimizing the cost of cross-regional backup scheduling and backup reservation purchase, which aims to optimize cross-regional backup scheduling and backup reservation purchase, is as follows:

[0097] In the above formula, Indicates time period area With the region The corresponding standby scheduling settlement price, Indicates time period area Transport to the area The backup scheduling capacity, Indicates time period area With the region The corresponding reserve settlement price, Indicates time period area Transport to the area Backup reserve capacity, The penalty factor is a very large positive number. Let be a slack variable, representing the time period. area Unmet backup scheduling requirements Let be a slack variable, representing the time period. area The unmet needs of reserve requirements should be accounted for, ensuring that the model prioritizes meeting reserve requirements, and minimizing the shortfall when it cannot be met. This represents a set of cross-regional backup and collaborative regions.

[0098] In this embodiment, the boundary conditions for minimizing the cost of cross-regional standby scheduling and standby reservation purchase include: The constraints for cross-regional backup scheduling and reserved demand are expressed as follows:

[0099]

[0100] In the above formula, Indicates time period area Total capacity required for cross-regional backup scheduling Indicates time period area Total required capacity for cross-regional backup reserves; The constraints on cross-regional backup scheduling and reserved supply capacity are expressed as follows:

[0101]

[0102] In the above formula, Indicates time period area The maximum cross-regional standby dispatch capacity that can be provided externally. Indicates time period area Maximum cross-regional backup capacity that can be provided externally; The logical constraints for cross-regional backup scheduling and reserved transmission directions are expressed as follows:

[0103] In the above formula, Indicates time period area Transport to the area The backup scheduling capacity, Indicates time period area Transport to the area Backup reserve capacity; The cross-regional standby scheduling and reserved pricing constraints are expressed as follows:

[0104] In the above formula, Indicates time period area Pricing for cross-regional standby dispatch, Indicates time period area introspective domain Pricing for inter-provincial standby dispatch; Indicates time period area introspective domain The system operating costs are shared equally. Indicates time period area Pricing for cross-regional backup reserves. Indicates time period area introspective domain Pricing for cross-provincial reserve provisions. Indicates time period area introspective domain The opportunity cost of unit startup is amortized; The cross-regional standby settlement price constraint is expressed as follows:

[0105]

[0106] In the above formula, Indicates time period From the region To the area The cost of purchasing cross-regional backup dispatching and reserved tie-line transmission is shared equally; The cross-regional network transmission capacity constraint is used to ensure that the power flow caused by the base state, the power flow caused by scheduling, and the maximum power flow caused by the full activation of reserves to cope with future faults are still within the safe range of the line. The expression is as follows:

[0107] In the above formula, for Variable, representing from the region To the area The backup transaction power is injected into the node. The state.

[0108] Step S4: To establish a grid dispatch verification and optimization model with the goal of minimizing the accident dispatch cost to meet the power grid operation safety requirements under different regional accident scenarios; In some embodiments of this example, the objective function expression for minimizing the accident scheduling cost, which aims to meet the power grid operation safety requirements under different regional accident scenarios, is as follows:

[0109] In the above formula, Indicates time period ACCIDENT The actual situation from the region Transport to the area The backup scheduling capacity, Indicates time period ACCIDENT Lower region Actually a region Activated standby reserved capacity; In this embodiment, the boundary conditions for minimum incident scheduling cost include: The constraint on the upper limit of cross-regional standby scheduling power is expressed as follows:

[0110]

[0111] The power balance constraint after a cross-regional backup dispatching incident is expressed as follows:

[0112] In the above formula, Indicates time period In the accident Lower region The power deficit; The deliverability constraint for cross-regional standby scheduling is expressed as follows:

[0113] In the above formula, for Variable, representing from the region Transport to the area Backup transaction power from node The state of the injected network.

[0114] Step S5: The network dispatch optimization calculation model, the provincial dispatch verification optimization model, the national dispatch optimization calculation model, and the network dispatch verification optimization model are used as a collaborative optimization model for cross-provincial and cross-regional backup scheduling and backup reservation. The distributed iterative solution is performed using the alternating direction multiplier method. In some implementations, in the distributed iterative solution using the alternating direction multiplier method, a first-order quadratic penalty term is introduced to introduce consistency constraints for cross-regional backup scheduling and reservation, expressed as follows:

[0115] In the above formula, Indicates cross-regional standby dispatch and reserved first The first quadratic penalty term in the next iteration Indicates the first The penalty coefficient for cross-regional standby scheduling in the next iteration. Indicates time period area To the region Actual cross-regional backup scheduling capacity in response. Indicates the first The penalty coefficient for cross-regional backup reserve in the next iteration. Indicates time period area To the region Actual cross-regional backup reserve capacity in response. Indicates the first The secondary penalty coefficient for cross-regional standby scheduling in the next iteration. Indicates the first The secondary penalty coefficient for cross-regional backup reserve in the next iteration; The update expression for the cross-regional backup scheduling and reserved penalty coefficient is as follows:

[0116]

[0117] The update expression for the cross-regional backup scheduling and reserved secondary penalty coefficient is as follows:

[0118]

[0119] In the distributed iterative solution using the alternating direction multiplier method, a first-order quadratic penalty term is introduced to introduce consistency constraints for cross-provincial backup scheduling and reservation, expressed as follows:

[0120] In the above formula, Indicates cross-provincial standby dispatch and reserved number The first quadratic penalty term in the next iteration Indicates the first The penalty coefficient for the first iteration of cross-provincial reserve scheduling. Indicates time period Province Settlement of cross-regional standby dispatch capacity, Indicates time period Province Actual cross-regional backup scheduling capacity in response. Indicates the first The penalty coefficient for cross-provincial reserve in the next iteration. Indicates time period Province The cross-regional standby reserve capacity for settlement, Indicates time period Province Actual cross-regional backup reserve capacity in response. Indicates the first The secondary penalty coefficient for cross-provincial reserve scheduling in the next iteration. Indicates the first The secondary penalty coefficient for cross-provincial reserve in the next iteration; The update expression for the cross-provincial reserve scheduling and reserved penalty coefficient is as follows:

[0121]

[0122] The update expression for the cross-provincial reserve scheduling and reserved secondary penalty coefficient is as follows:

[0123]

[0124] It should be noted that the present invention, by constructing a multi-level optimization model and a distributed solution mechanism, realizes hierarchical optimization and interactive iteration of national, grid, and provincial dispatching in the coordination of reserve resources, and obtains the optimal coordinated operation scheme. Under the premise of ensuring the safe operation of power grids at all levels, it can help improve the utilization rate of unit reserve resources, alleviate power grid reserve costs, and further promote the mutual assistance of power grid reserve resources in a large area.

[0125] The above are merely preferred embodiments of the present invention and are not intended to limit the present invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM, characterized in that, Includes the following steps: A network dispatch optimization calculation model is established with the optimization objectives of minimizing cross-provincial standby dispatch settlement costs and minimizing standby reservation purchase costs. To achieve the goal of minimizing the accident dispatch cost to meet the power grid operation safety requirements under different provincial accident scenarios, a provincial dispatch calibration and optimization model is established. A national dispatch optimization calculation model is established with the goal of minimizing the cost of cross-regional standby scheduling and standby reservation purchase. To achieve the goal of minimizing the accident dispatch cost to meet the power grid operation safety requirements under different regional accident scenarios, a grid dispatch verification and optimization model is established. The network dispatch optimization calculation model, provincial dispatch verification optimization model, national dispatch optimization calculation model, and network dispatch verification optimization model are used as a collaborative optimization model for cross-provincial and cross-regional backup scheduling and backup reservation. The optimal collaborative operation scheme is obtained by using the alternating direction multiplier method for distributed iterative solution.

2. The cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM as described in claim 1, characterized in that, In the optimization objective of minimizing both the cross-provincial standby dispatch settlement cost and the standby reservation purchase cost, the objective function expression for minimizing the cross-provincial standby dispatch settlement cost is as follows: In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. Pricing for inter-provincial backup dispatch. Indicates time period Grid-dispatch and direct-dispatch units The winning bid capacity for cross-provincial backup dispatch. Indicates time period Province Internal inspection and adjustment of generating units No. Pricing for inter-provincial backup dispatch. Indicates time period Province Internal inspection and adjustment of generating units The winning bid capacity for cross-provincial backup dispatch. Represents all the moments of a day. This represents the collection of directly dispatched and grid-dispatched generating units within the region. This indicates the number of segmented pricing segments for cross-provincial standby dispatch. This represents a set of backup provinces across provinces. Indicates province Internal inspection and adjustment of generator units; The objective function expression for minimizing the purchase cost of the backup reserve is as follows: In the above formula, Indicates time period Grid-dispatch and direct-dispatch units No. Pricing for inter-provincial reserve sections. Indicates time period Grid-dispatch and direct-dispatch units Cross-provincial reserve capacity for winning bids, Indicates time period Province Internal inspection and adjustment of generating units No. Pricing for inter-provincial reserve sections. Indicates time period Province Internal inspection and adjustment of generating units The capacity reserved for cross-provincial backup is the winning bid capacity.

3. The cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM as described in claim 2, characterized in that, The optimization objectives are to minimize the settlement cost of inter-provincial standby dispatch and the purchase cost of standby reservation. The boundary conditions for minimizing the settlement cost of inter-provincial standby dispatch and the purchase cost of standby reservation include: regional demand constraints, intra-provincial demand constraints, unit reserved capacity constraints, and segmented pricing capacity constraints. The boundary conditions for minimizing the purchase cost of the backup reserve also include: the transmission capacity constraint of the cross-provincial backup reserve connection line.

4. The cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM as described in claim 1, characterized in that, The objective function expression for minimizing the accident dispatch cost, which aims to meet the power grid operation safety requirements under different provincial accident scenarios, is as follows: In the above formula, Indicates time period The settlement price for cross-provincial standby dispatch. Indicates time period Province In the accident The actual cross-provincial reserve capacity under dispatch. Indicates time period The inter-provincial reserve settlement price, Indicates time period Province In the accident The actual reserved and activated cross-provincial backup capacity, Indicates inter-provincial communication line Cost per unit power power transmission Indicates time period Province In the accident This triggered an inter-provincial communication line. Additional trend on top, This indicates a collection of inter-provincial connection lines.

5. The cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM as described in claim 4, characterized in that, The objective of minimizing the accident dispatch cost to meet the power grid operation safety requirements under different provincial safety accident scenarios includes the following boundary conditions: provincial power grid safety verification power limit constraint, backup supply and demand balance constraint after safety verification accident, and safety verification deliverability constraint.

6. The cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM as described in claim 1, characterized in that, In the optimization objective of minimizing the cost of cross-regional backup scheduling and backup reservation purchase, the objective function expression for minimizing the cost of cross-regional backup scheduling and backup reservation purchase is as follows: In the above formula, Indicates time period area With the region The corresponding standby scheduling settlement price, Indicates time period area Transport to the area The backup scheduling capacity, Indicates time period area With the region The corresponding reserve settlement price, Indicates time period area Transport to the area Backup reserve capacity, As a penalty factor, Let be a slack variable, representing the time period. area Unmet backup scheduling requirements Let be a slack variable, representing the time period. area Unmet backup and reserve requirements This represents a set of cross-regional backup and collaborative regions.

7. The cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM as described in claim 6, characterized in that, The optimization objective of minimizing the cost of cross-regional backup scheduling and backup reservation includes the following boundary conditions: cross-regional backup scheduling and reservation demand constraints, cross-regional backup scheduling and reservation supply capacity constraints, cross-regional backup scheduling and reservation transmission direction logic constraints, cross-regional backup scheduling and reservation pricing constraints, cross-regional backup settlement price constraints, and cross-regional network transmission capacity constraints.

8. The cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM as described in claim 1, characterized in that, The objective function expression for minimizing the accident scheduling cost, which aims to meet the power grid operation safety requirements under different regional accident scenarios, is as follows: In the above formula, Indicates time period ACCIDENT The actual situation from the region Transport to the area The backup scheduling capacity, Indicates time period ACCIDENT Lower region Actually a region Enabled standby reserved capacity.

9. The cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM as described in claim 8, characterized in that, The objective of minimizing the accident dispatch cost to meet the power grid operation safety requirements under different regional accident scenarios includes the following boundary conditions: cross-regional reserve dispatch power upper limit constraint, cross-regional reserve dispatch power balance constraint after an accident, and cross-regional reserve dispatch deliverability constraint.

10. The cross-provincial and cross-regional backup scheduling and reservation collaborative optimization method based on ADMM as described in any one of claims 1 to 9, characterized in that, In the distributed iterative solution using the alternating direction multiplier method, a first-order quadratic penalty term is introduced to introduce consistency constraints for cross-regional backup scheduling and reservation, expressed as follows: In the above formula, Indicates cross-regional standby dispatch and reserved first The first quadratic penalty term in the next iteration Indicates the first The penalty coefficient for cross-regional standby scheduling in the next iteration. Indicates time period area To the region Actual cross-regional backup scheduling capacity in response. Indicates the first The penalty coefficient for cross-regional backup reserve in the next iteration. Indicates time period area To the region Actual cross-regional backup reserve capacity in response. Indicates the first The secondary penalty coefficient for cross-regional standby scheduling in the next iteration. Indicates the first The secondary penalty coefficient for cross-regional backup reserve in the next iteration; In the distributed iterative solution using the alternating direction multiplier method, a first-order quadratic penalty term is introduced to introduce consistency constraints for cross-provincial backup scheduling and reservation, expressed as follows: In the above formula, Indicates cross-provincial standby dispatch and reserved number The first quadratic penalty term in the next iteration Indicates the first The penalty coefficient for the first iteration of cross-provincial reserve scheduling. Indicates time period Province Settlement of cross-regional standby dispatch capacity, Indicates time period Province Actual cross-regional backup scheduling capacity in response. Indicates the first The penalty coefficient for cross-provincial reserve in the next iteration. Indicates time period Province The cross-regional standby reserve capacity for settlement, Indicates time period Province Actual cross-regional backup reserve capacity in response. Indicates the first The secondary penalty coefficient for cross-provincial reserve scheduling in the next iteration. Indicates the first The secondary penalty coefficient for cross-provincial backup reserves in the next iteration.

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