CN113937756B - Method for improving maximum power supply capacity of power system based on two-stage recovery strategy - Google Patents
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Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
Abstract
The invention discloses a method for improving the maximum power supply capacity of a power system based on a two-stage recovery strategy, which comprises the following steps: step S1: initializing network parameters and operation fault parameters after disaster, and judging whether power generation nodes exist or not; step S2: optimizing operation parameters of residual power nodes in the post-disaster network, and obtaining the output power of the optimal power generation node and the consumption power value of the load node; step S3: and analyzing and screening the transmission link with the congestion benefit, obtaining the maximum value of the congestion benefit, and increasing the feasible domain of capacity expansion power distribution of the congestion link based on the maximum value of the congestion benefit. Optimizing operation parameters of undamaged equipment of a post-disaster network through a two-stage recovery strategy, and expanding the capacity of a congestion connected edge to improve the power supply capacity of a store system under an extreme event; the method is beneficial to better finding out the congestion edge in the system during power dispatching; the emergency processing capability of the power system in the face of extreme events is improved, and the stability and the robustness of the power system are improved.
Description
Technical Field
The invention relates to a power supply strategy, in particular to a method for improving the maximum power supply capacity of a power system based on a two-stage recovery strategy.
Background
With the development of electrification progress, the degree of dependence on electric power in countries around the world is increasing, and an electric power system is one of the most important infrastructures in the current society. The ability of the power system to continuously supply the load and power requirements plays an important role in guaranteeing normal life and social stability of people. However, the power system is widely distributed geographically, and most devices are directly exposed to natural environment, and in actual operation, the devices are subjected to severe challenges of extreme events such as natural disasters and man-made attacks. These extreme events can seriously affect the normal operation of the power system, so that the system cannot maintain the original connectivity and functions, a large amount of loads cannot be normally supplied, and the economic development and the social stability are seriously endangered. Therefore, the maximum power supply capacity improving method of the electric power system under the extreme event is researched, so that the basic service capacity of the electric power system can be guaranteed, and more effective emergency strategies can be designed to resist risks.
In recent years, researchers at home and abroad develop definitions on basic concepts of the power grid restoring force, and put forward some models and methods to improve the restoring force of the power grid after disaster. And a part of scholars optimize the repair sequence of the damaged equipment, and repair the damaged equipment according to the proposed node or edge connection importance index sequence so as to quickly restore the performance of the power system. In addition, some scholars propose various probability models to simulate the repair time of damaged equipment, such as a markov chain, and research on performance recovery of a power system after disaster is carried out by taking the shortest repair time as a target through an optimization means. The supporting function of various distributed power supplies on the recovery of the power grid is fully exerted by students, the performance of the power system is recovered by researching a multi-source cooperative strategy, the power failure loss is reduced, and the elasticity of the power grid is improved.
In general, the existing research results are mostly focused on the repairing strategies of the damaged equipment, and the repairing of the damaged equipment needs a long time, so that the electricity requirements of users cannot be met in time under extreme conditions. Therefore, a new research method is needed, through emergency dispatch after disaster, available resources after disaster are fully utilized, the power supply capacity under the extreme operation condition is quickly recovered, the risk resistance capacity of the power system is improved, and the negative influence of the extreme environment on social stability is reduced.
For example, a "power restoration system and method" disclosed in chinese patent literature, its publication number is CN108475993B, which includes an inability to quickly restore power supply capability under extreme operation and environmental conditions, a poor capability of the power system to resist disaster risk, and poor working stability under extreme environments.
Disclosure of Invention
The invention provides a method for improving the maximum power supply capacity of an electric power system based on a two-stage recovery strategy, which aims to solve the problems in the background art based on the defects of the existing post-disaster recovery strategy of the electric power system.
The invention specifically constructs a two-stage recovery strategy from the two angles of residual power nodes and transmission connecting edges in the post-disaster network. Firstly, optimizing operation parameters of the residual power nodes in the post-disaster network, obtaining the output power of the optimal power generation node and the consumption power value of the load node, and maintaining the power supply capacity of the power system in a short time. And then analyzing and screening the transmission continuous edge with congestion benefit, and increasing the capacity of the congestion continuous edge to expand the feasible domain of power distribution, thereby further improving the maximum power supply capacity of the power system.
A method for improving the maximum power supply capacity of an electric power system based on a two-stage recovery strategy, the method comprising the steps of:
step S1: initializing network parameters and operation fault parameters after disaster, and judging whether power generation nodes exist or not;
step S2: optimizing operation parameters of the residual power nodes in the post-disaster network, obtaining the output power of the optimal power generation node and the consumption power value of the load node, and maintaining the power supply capacity of the power system in a short time;
step S3: and analyzing and screening the transmission continuous edge with the congestion benefit, obtaining the maximum value of the congestion benefit, and increasing the feasible area of capacity expansion power distribution of the congestion continuous edge based on the maximum value of the congestion benefit, thereby further improving the maximum power supply capacity of the power system.
Preferably, step S1 comprises the steps of:
step S11: initializing network parameters, and calculating load injection current, and overlapping injection current of fault nodes and generator access nodes;
step S12: the current of each power supply branch is calculated by push-back and the voltage of each node is corrected by push-forward;
step S13: and judging convergence conditions according to the power supply branch current and the node voltage, and judging whether a power generation node exists or not.
Preferably, step S2 comprises the steps of:
step S21: abstracting the existing given power system into a graph, wherein the parameters are represented by G= { N, L }, and the power nodes are connected through transmission connecting edges;
step S22: summarizing the nodes generated by physical damage generated after disaster as damaged nodes, wherein the damaged nodes divide the network G initialized in the step S11 into a plurality of mutually communicated sub-networks S i ；
Step S23: through sub-network S i Establishing a mathematical model, and obtaining the voltage amplitude V and the voltage phase angle theta of each power node by adopting an interior point method;
step S24: calculating to obtain theoretical value F of optimal power supply capacity of system under limited resource after disaster max (G) Based on the data calculations of steps S21-S24,the theoretical value of the optimal power supply capacity of the system under the limited resources after disaster is obtained specifically as follows:
P ij ＝V i V j (G ij cosθ ij +B ij sinθ ij )-V i 2 G ij
Q ij ＝V i V j (G ij sinθ ij +B ij sinθ ij )-V i 2 G ij
V i,min ≤V i ≤V i,max
P i,min ≤P i ≤P i,max
Q i,min ≤Q i ≤Q i,max
P ij,min ≤P ij ≤P ij,max
wherein F is max (G) To optimize the goal, the maximum power supply capacity of the whole power system is represented; p (P) d And P g The power of the load node d and the power of the power generation node g respectively; p (P) i And Q i Respectively representing the active power and the reactive power of the power node i; v (V) i And V j The voltage magnitudes of power nodes i and j are represented, respectively; θ i And theta j Representing the voltage phase angles of power nodes i and j, respectively; g ij And B ij Representing the real and imaginary parts of the conjoined admittance value, respectively; p (P) ij And Q ij Representing the active power and reactive power of the connecting edge; v (V) i,min 、V i,max 、P i,min 、P i,max 、 Q i,min 、Q i,max 、P ij,min 、P ij,max The power node i voltage, active power, reactive power and minimum and maximum values of the allowed flow-through edge power (i, j) are represented in turn.
Step S25: calculating the maximum power supply capacity F of the post-disaster network by utilizing the obtained optimal voltage amplitude V and voltage phase angle theta of each power node max (G) And obtaining the power supply capacity under the first-stage recovery strategy.
Preferably, step S3 includes the following:
step S31: and analyzing the congestion conditions of all the undamaged edges in the network, and identifying the transmission edges with congestion effects. For each conjoined edge (i, j), it is checked by increasing the conjoined edge capacity whether it has a congestion effect, so there is:
P ij,min ＝P ij,min -δ
P ij,max ＝P ij,max +δ
step S32: on the basis of adding capacity to the connected edge (i, j), solving the optimization problem in the step (1) again to check whether the connected edge (i, j) has congestion effect. If the maximum power supply capacity F after capacity expansion max new (G) Satisfy F max new (G)-F max (G) If delta is larger than delta, the congestion effect of the connecting edge (i, j) is shown, the capacity of the connecting edge (i, j) is increased, the power supply capacity of the system can be further improved, and delta C is defined ij To record the added value of the capacity of the conjoined edge (i, j):
ΔC ij ＝ΔC ij +δ
conversely, F max new (G)-F max (G) Delta is less than or equal to the value, the connecting edge is not in a convenient state, and the capacity of the connecting edge is increased, so that the integral power supply capacity cannot be improved;
step S33: repeating the steps S31 and S32 until congestion conditions of all undamaged connecting edges after disaster are analyzed; for a pair ofIn the continuous edge with congestion effect, the maximum value delta C of each continuous edge with increased capacity is obtained through a round of capacity accumulation process ij And obtaining the maximum power supply capacity of all edges with congestion effect under different capacity values.
The invention designs a two-stage recovery strategy to improve the power supply capacity of the power system under extreme conditions, and the first-stage recovery strategy obtains the optimal output power of the power generation joints and the optimal consumption power of the load nodes by adjusting the operation parameters of each power node, so that the power system maintains necessary power supply in a short time by fully utilizing the resources of damaged equipment after disaster; and the second-stage recovery strategy carries out congestion analysis on the continuous edges in the power system, identifies the congested continuous edges, and finally further improves the power supply capacity of the power system by expanding the capacity of the congested continuous edges.
The invention considers a method for improving the maximum power supply capacity of an electric power system, and aims to analyze how a multi-proposal two-stage recovery strategy effectively improves the power supply capacity of the system.
Therefore, the invention has the beneficial effects that:
the operation parameters of the equipment which is not damaged by the network after the disaster are optimized through a two-stage recovery strategy, and the capacity expansion of the congestion connecting edge is carried out to improve the power supply capacity of the power system under the extreme event;
the method is beneficial to better finding out the congestion edge in the system during power dispatching;
the emergency processing capability of the power system in the face of extreme events is improved, and the stability and the robustness of the power system are improved to provide accurate results and data support.
Drawings
FIG. 1 is a flowchart of a method for improving maximum power supply capacity of an electric power system based on a two-stage recovery strategy according to an embodiment of the present invention;
FIG. 2 is a diagram of a first level recovery strategy effect verification simulation result in an embodiment of the present invention;
FIG. 3 is a schematic diagram illustrating congestion analysis on a link in an IEEE-118 node network according to an embodiment of the present invention;
FIG. 4 is a diagram of simulation results of verification of the effect of a second level restoration policy in an IEEE-39 node network in an embodiment of the present invention;
FIG. 5 is a diagram of simulation results of verification of the effect of a second level restoration policy in an IEEE-57 node network in an embodiment of the present invention;
fig. 6 is a diagram of simulation results of verification of the effect of the second level restoration policy in the IEEE-118 node network in an embodiment of the present invention.
Detailed Description
The invention is described in further detail below with reference to the drawings and the detailed description.
A method for improving the maximum power supply capacity of an electric power system based on a two-stage recovery strategy, the method comprising the steps of: step S1: initializing network parameters and operation fault parameters after disaster, and judging whether power generation nodes exist or not;
step S2: optimizing operation parameters of the residual power nodes in the post-disaster network, obtaining the output power of the optimal power generation node and the consumption power value of the load node, and maintaining the power supply capacity of the power system in a short time;
step S3: and analyzing and screening the transmission continuous edge with the congestion benefit, obtaining the maximum value of the congestion benefit, and increasing the feasible area of capacity expansion power distribution of the congestion continuous edge based on the maximum value of the congestion benefit, thereby further improving the maximum power supply capacity of the power system.
Preferably, step S1 comprises the steps of:
step S11: initializing network parameters, and calculating load injection current, and overlapping injection current of fault nodes and generator access nodes;
step S12: the current of each power supply branch is calculated by push-back and the voltage of each node is corrected by push-forward;
step S13: and judging convergence conditions according to the power supply branch current and the node voltage, and judging whether a power generation node exists or not.
Preferably, step S2 comprises the steps of:
step S21: abstracting the existing given power system into a graph, wherein the parameters are represented by G= { N, L }, and the power nodes are connected through transmission connecting edges;
step S22: summarizing the nodes generated by physical damage generated after disaster as damaged nodes, wherein the damaged nodes divide the network G initialized in the step S11 into a plurality of mutually communicated sub-networks S i ；
Step S23: through sub-network S i Establishing a mathematical model, and obtaining the voltage amplitude V and the voltage phase angle theta of each power node by adopting an interior point method;
step S24: calculating to obtain theoretical value F of optimal power supply capacity of system under limited resource after disaster max (G) The theoretical value of the optimal power supply capacity of the system under the limited resources after disaster is obtained by calculation according to the data in the steps S21-S24, and the theoretical value is specifically shown as follows:
P ij ＝V i V j (G ij cosθ ij +B ij sinθ ij )-V i 2 G ij
Q ij ＝V i V j (G ij sinθ ij +B ij sinθ ij )-V i 2 G ij
V i,min ≤V i ≤V i,max
P i,min ≤P i ≤P i,max
Q i,min ≤Q i ≤Q i,max
P ij,min ≤P ij ≤P ij,max
wherein F is max (G) To optimize the goal, the maximum power supply capacity of the whole power system is represented; p (P) d And P g The power of the load node d and the power of the power generation node g respectively; p (P) i And Q i Respectively representing the active power and the reactive power of the power node i; v (V) i And V j The voltage magnitudes of power nodes i and j are represented, respectively; θ i And theta j Representing the voltage phase angles of power nodes i and j, respectively; g ij And B ij Representing the real and imaginary parts of the conjoined admittance value, respectively; p (P) ij And Q ij Representing the active power and reactive power of the connecting edge; v (V) i,min 、V i,max 、P i,min 、P i,max 、 Q i,min 、Q i,max 、P ij,min 、P ij,max The power node i voltage, active power, reactive power and minimum and maximum values of the allowed flow-through edge power (i, j) are represented in turn.
Step S25: calculating the maximum power supply capacity F of the post-disaster network by utilizing the obtained optimal voltage amplitude V and voltage phase angle theta of each power node max (G) And obtaining the power supply capacity under the first-stage recovery strategy.
Preferably, step S3 includes the following:
step S31: and analyzing the congestion conditions of all the undamaged edges in the network, and identifying the transmission edges with congestion effects. For each conjoined edge (i, j), it is checked by increasing the conjoined edge capacity whether it has a congestion effect, so there is:
P ij,min ＝P ij,min -δ
P ij,max ＝P ij,max +δ
step S32: on the basis of adding capacity to the continuous edge (i, j), solving the optimization problem in the step (1) again to check whether the continuous edge (i, j) has congestion effect; if the maximum power supply capacity F after capacity expansion max new (G) Satisfy F max new (G)-F max (G) > delta, then indicates that the edge (i, j) has a congestion effect, increasingThe capacity of the add-on edge (i, j) can further improve the power supply capacity of the system and define deltaC ij To record the added value of the capacity of the conjoined edge (i, j):
ΔC ij ＝ΔC ij +δ
conversely, F max new (G)-F max (G) Delta is less than or equal to the value, the connecting edge is not in a convenient state, and the capacity of the connecting edge is increased, so that the integral power supply capacity cannot be improved;
step S33: repeating the steps S31 and S32 until congestion conditions of all undamaged connecting edges after disaster are analyzed; for the continuous edge with the congestion effect, the maximum value delta C of the capacity of each continuous edge which can be increased is obtained through a round of capacity accumulation process ij And obtaining the maximum power supply capacity of all edges with congestion effect under different capacity values.
The invention designs a two-stage recovery strategy to improve the power supply capacity of the power system under extreme conditions, and the first-stage recovery strategy obtains the optimal output power of the power generation joints and the optimal consumption power of the load nodes by adjusting the operation parameters of each power node, so that the power system maintains necessary power supply in a short time by fully utilizing the resources of damaged equipment after disaster; and the second-stage recovery strategy carries out congestion analysis on the continuous edges in the power system, identifies the congested continuous edges, and finally further improves the power supply capacity of the power system by expanding the capacity of the congested continuous edges.
The invention considers a method for improving the maximum power supply capacity of an electric power system, and aims to analyze how a multi-proposal two-stage recovery strategy effectively improves the power supply capacity of the system.
As shown in fig. 1, fig. 1 shows a schematic flow chart of a two-stage recovery strategy, and the power supply capacity is recovered from two angles of operation parameter optimization and continuous edge expansion based on the proposed two-stage recovery strategy. In order to make the present invention more clear and intuitive, the specific implementation will simulate and verify three networks of the IEEE-39 node network, the IEEE-57 node network and the IEEE-118 node network.
Fig. 2 to 6 are simulation verification of the design by Matlab of the present invention. Fig. 2 shows the simulation results of the first level recovery strategy in three test networks. It is apparent from fig. 2 that the first level recovery strategy can effectively improve the power supply capability after the disaster of the system. Taking an IEEE-118 node network as an example, FIG. 3 analyzes congestion conditions of all uncorrupted edges after disaster, and can find that increasing a few edges can improve power supply capability of the system.
The simulation results of the second level recovery strategy in the three test networks are given next to fig. 4 to 6, respectively. Also taking the IEEE-118 node as an example, fig. 6 shows the relationship between the capacity increment values corresponding to all congestion edges and the ratio of the capacity increment values to the power supply capacity improvement of the system, and it can be known from the figure that the second-level recovery strategy can further improve the power supply capacity of the system. The capacity of the congestion connecting edges is enlarged, so that constraint conditions of the optimization problem in the step (1) are loosened, a feasible area is enlarged, and the system can more flexibly adjust operation parameters of each power node, so that the power supply capacity of the power system achieves optimal benefits.
To further embody the effectiveness of the two-stage recovery strategy provided by the present invention, table 1 shows a table comparing the effect of the initial power supply value improvement after disaster:
table 1: the invention provides a two-stage recovery strategy and a post-disaster initial power supply value lifting effect comparison table
As can be seen from Table 1, compared with the post-disaster initial power supply value without any recovery measures, the first-stage recovery strategy and the second-stage recovery strategy provided by the embodiment of the invention can effectively improve the power supply capacity of the system, and the power supply capacity of the system is improved by more than 16% after the two-stage recovery strategy is implemented. The method not only verifies that the recovery strategy proposed by the embodiment of the invention is truly feasible, but also proves that the method proposed by the invention is effective.
The present invention is not limited to the above embodiments, and those skilled in the art can practice the present invention using other various embodiments in light of the present disclosure. Therefore, the design structure and thought of the invention are adopted, and some simple changes or modified designs are made, which fall into the protection scope of the invention.
Claims (4)
1. A method for improving the maximum power supply capacity of an electric power system based on a two-stage recovery strategy is characterized by comprising the following steps:
step S1: initializing network parameters and operation fault parameters after disaster, and judging whether power generation nodes exist or not;
step S2: optimizing operation parameters of the residual power nodes in the post-disaster network, obtaining the output power of the optimal power generation node and the consumption power value of the load node, and maintaining the power supply capacity of the power system in a short time;
step S21: abstracting the existing given power system into a graph, wherein the parameters are represented by G= { N, L, and the power nodes are connected through transmission connecting edges;
step S22: defining the node generated by physical damage generated after disaster as a damaged node, and splitting the network G initialized in the step S11 into a plurality of mutually communicated sub-networks S by the damaged node i ；
Step S23: through sub-network S i Establishing a mathematical model, and obtaining the voltage amplitude V and the voltage phase angle theta of each power node by adopting an interior point method;
step S24: calculating to obtain theoretical value F of optimal power supply capacity of system under limited resource after disaster max (G)；
Step S25: calculating the maximum power supply capacity F of the post-disaster network by utilizing the obtained optimal voltage amplitude V and voltage phase angle theta of each power node max (G) Obtaining the power supply capacity under the first-stage recovery strategy;
step S3: analyzing and screening transmission continuous edges with congestion benefits, obtaining the maximum value of the congestion benefits, and increasing the feasible area of capacity expansion power distribution of the congestion continuous edges based on the maximum value of the congestion benefits, thereby further improving the maximum power supply capacity of the power system;
step S31: carrying out data analysis on congestion conditions of all undamaged edges in a network, judging transmission edges with congestion effects, checking and judging whether each edge (i, j) has an edge effect by increasing the edge capacity, and calculating the following modes:
P ij,min ＝P ij,min -δ
P ij,max ＝P ij,max +δ
wherein, delta represents the fixed capacity of the edge connection increase, and delta is a smaller value;
step S32: on the basis of adding capacity to the continuous edge (i, j), calculating the mathematical model in the step S2 again to judge the congestion effect of the continuous edge (i, j), and recording the added value of the capacity of the continuous edge (i, j);
step S33: repeating the steps S31 and S32 until the congestion condition of all undamaged edges after the disaster is analyzed.
2. The method for improving the maximum power supply capacity of a power system based on a two-stage recovery strategy according to claim 1, wherein the step S1 comprises the steps of:
step S11: initializing network parameters, and calculating load injection current, and overlapping injection current of fault nodes and generator access nodes;
step S12: the current of each power supply branch is calculated by push-back and the voltage of each node is corrected by push-forward;
step S13: and judging convergence conditions according to the power supply branch current and the node voltage, and judging whether a power generation node exists or not.
3. The method for improving the maximum power supply capacity of the power system based on the two-stage recovery strategy according to claim 1, wherein the theoretical value of the optimal power supply capacity of the system under the limited resources after the disaster is as follows:
P ij ＝V i V j (G ij cosθ ij +B ij sinθ ij )-V i 2 G ij
Q ij ＝V i V j (G ij sinθ ij +B ij sinθ ij )-V i 2 G ij
V i,min ≤V i ≤V i,max
P i,min ≤P i ≤P i,max
Q i,min ≤Q i ≤Q i,max
P ij,min ≤P ij ≤P ij,max
wherein F is max (G) To optimize the goal, the maximum power supply capacity of the whole power system is represented; p (P) d And P g The power of the load node d and the power of the power generation node g respectively; p (P) i And Q i Respectively representing the active power and the reactive power of the power node i; v (V) i And V j The voltage magnitudes of power nodes i and j are represented, respectively; θ i And theta j Representing the voltage phase angles of power nodes i and j, respectively; g ij And B ij Representing the real and imaginary parts of the conjoined admittance value, respectively; p (P) ij And Q ij Representing the active power and reactive power of the connecting edge; v (V) i,min 、V i,max 、P i,min 、P i,max 、Q i,min 、Q i,max 、P ij,min 、P ij,max The power node i voltage, active power, reactive power and minimum and maximum values of the allowed flow-through edge power (i, j) are represented in turn.
4. The method for improving maximum power supply capacity of a power system based on a two-stage restoration strategy according to claim 1, wherein the congestion effect of the judging edge (i, j) of step S32 is determined by defining Δc ij To record the added value of the capacity of the conjoined edge (i, j): ΔC ij ＝ΔC ij +δ。
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| CN108631306A (en) * | 2018-05-21 | 2018-10-09 | 西安交通大学 | The appraisal procedure of recovery capability after a kind of electric system calamity |
| CN109617132A (en) * | 2018-12-12 | 2019-04-12 | 国网江苏省电力有限公司电力科学研究院 | Promote resource distribution and the network reconfiguration optimization method of elastic distribution network restoration power |
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