CN114336782B - Distributed economic dispatching method for power system under aperiodic Dos attack - Google Patents
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Abstract
The invention relates to a distributed economic dispatching method of an electric power system under aperiodic Dos attack, which comprises the following steps: giving system parameters; setting a communication connection coefficient; assigning a value to the incremental cost of the leading generator set and calculating the incremental cost of the following generator set; updating the incremental cost of each following generator set by using an incremental cost safety consistency algorithm; calculating the output power of the leading generator set and the following generator set; calculating the power of the supply and demand deviation; judging whether the power of the supply and demand deviation meets a given power deviation tolerance value or not; and calculating the optimal output power of the leading generator set and the following generator set. The invention considers the influence of Dos network attack, when the Dos network attack is received, the generator set under attack does not need to be isolated, and the effectiveness of economic dispatch under the information network attack can be ensured by adopting an incremental cost safety consistency algorithm, so that the economic and stable operation of the electric power system under the information network attack is realized.
Description
Technical Field
The invention relates to the field of power system economic dispatch, in particular to a power system distributed economic dispatch method under aperiodic Dos attack.
Background
Economic dispatch is a fundamental problem in power systems, and the core of the economic dispatch is to minimize the total cost of power generation of a generator set on the basis of meeting the balance of supply and demand. With the rapid development of society, the topology of a power system is becoming larger and more complex. The main reason for the drawbacks of the centralized control strategy is that when the control center fails, the entire power system will be paralyzed. In contrast, the distributed control strategy does not need a centralized control center, and only needs communication between adjacent generator sets, so that a distributed economic scheduling scheme is generated.
However, there is also a certain disadvantage to the distributed control strategy, and the implementation of the distributed economic dispatch is highly dependent on the information network connecting the generator sets. Due to the openness and vulnerability of the information network, and the lack of a monitoring center for the distributed control strategy to monitor the activities of all the generator sets in the network, the possibility of the information network being attacked is greatly increased. Among the most common types of network attacks are Dos attacks, which are attacks on network protocols or resources of an attacked object by consuming the resources, so that the information network cannot provide normal communication and services, and thus, defending Dos attacks is one of the non-negligible research problems in terms of information network security. Due to the uncertainty of Dos attacks, the time of Dos launch of an attack is random in real life for any two adjacent attacks.
Disclosure of Invention
In order to avoid adverse effects of aperiodic Dos attack on distributed economic dispatch, the invention provides the distributed economic dispatch of the power system under the aperiodic Dos attack, which is suitable for the economic dispatch problem of the power system adopting a secondary cost function, and on the basis of meeting the power supply and demand balance of the power system, the total cost of power generation of the generator set is enabled to be the lowest, the effects of the aperiodic Dos attack are considered, and the economic dispatch of the power system is realized by constructing an incremental cost safety consistency algorithm.
In order to achieve the above purpose, the invention is realized by the following technical scheme:
the invention relates to a distributed economic dispatching method of an electric power system under aperiodic Dos attack, which is used for an electric power system adopting a secondary cost function and having a communication network topology between generator sets, and the specific dispatching method comprises the following steps:
step 1: giving system parameters including the number n of generator sets in the power system and the total power demand P D Parameter alpha i Parameter beta i Parameter gamma i Wherein alpha is i 、β i 、γ i As coefficients of the quadratic cost function, i represents the number of the generator set, i=1, 2, 3..the period T, m represents the number of periods, m=0, 1,2, 3..the positive constant epsilon determines the convergence speed of the generator set, the time of initiation of the nth attack
Duration delta of nth challenge n Nth attack recovery time u n Normal number eta, power deviation tolerance value theta, coupling strength c;
step 2: one of the generator sets is selected as a leading generator set and is expressed as a 0 th generator set, and the following generator set sets set a communication connection coefficient a according to the information interaction capability of the following generator set ij J=1, 2,3., n, i not equal to j, the 0 th generator set sets a communication connection coefficient a according to the information interaction capability with the following generator set i0 。
Step 3: setting the initial time as t 0 Let t 0 =0, and assigning λ to the incremental cost of the leading genset in step 2 0 Calculating increment cost lambda of other ith generating sets i (t 0 ) Incremental cost lambda of ith following generator set i (t 0 ) Is calculated as follows:
λ i (t 0 )＝β i +2γ i P Gi (t 0 )
wherein: lambda (lambda) i (t 0 ) Incremental cost for the ith following genset, beta i 、γ i To follow the coefficients of the generator set secondary cost function, P Gi (t 0 ) To follow the output power of the generator set i at the initial moment.
Step 4: in the mT period, updating the increment cost lambda of each following generator set at the time t by using an increment cost safety consistency algorithm i (t)。
The incremental cost safety consistency algorithm of the ith following generator set is as follows:
wherein the method comprises the steps of
c is the coupling strength; a, a ij Is a communication connection coefficient; lambda (lambda) j (t) for each heelIncremental cost at time t along with generator set j; lambda (lambda) i (t) incremental cost at time t for each following genset i; a, a i0 The 0 th generator set is a communication connection coefficient according to the information interaction capability with the following generator set; lambda (lambda) 0 Assigning a value to the incremental cost of the leading generator set; lambda (lambda) i (t) incremental cost for each following genset at time t,
time for the nth attack initiation; delta n Duration for the nth attack; u (u) n Recovery time for the nth attack; η is a positive constant.
Step 5: calculating the output power P of the leading generator set and the following generator set at the time t= (m+1) T 0 (t) and P i (t). Specific:
at time t= (m+1) T, the output power of the generator set is:
following the output power of the generator set:
leading the output power of the generator set:
wherein: lambda (lambda) i ((m+1) T) is the incremental cost of the follower genset, beta i 、γ i Lambda is a coefficient following the secondary cost function of the generator set 0 Incremental cost assignment for lead genset, gamma 0 、β 0 Expressed as coefficients of the leading genset 0 quadratic cost function.
Step 6: calculating power |delta P (T) | of supply and demand deviation of the leading generator set and the following generator set at a time t= (m+1) T, and specifically, when the power deviation of the generator set is at the time t= (m+1) T, the power deviation is as follows:
wherein: Δp represents the deviation of the overall power system power demand from the power supply; p (P) D Is the total power demand; p (P) G0 ((m+1) T) is the output power of the lead type generator set 0; output power P of following type generator set i Gi ((m+1)T)。
Step 7: judging whether the power |delta P (t) | of the supply and demand deviation in the step 6 meets a given power deviation tolerance value theta, if the power |delta P (t) | is less than or equal to theta, turning to the step 8, otherwise, turning to lambda 0 +ΔP((m+1)T)→λ 0 And m+1- & gt m is jumped to the step 4;
step 8: the incremental cost lambda of the leader according to step 7 0 Incremental cost lambda of follower i ((m+1) T), calculating the optimal output power P of the leading generator set and the following generator set G0 * P Gi * Specifically, at time t, the optimal power of the generator set is:
optimum power of leading genset:
following the optimal power of the generator set:
wherein: lambda (lambda) 0 Assigning a value to the incremental cost of the leading generator set; gamma ray 0 、β 0 Coefficients, lambda, expressed as a quadratic cost function of lead genset 0 i ((m+1) T) is the incremental cost of the following generator set, beta i 、γ i Is a coefficient of the quadratic cost function.
The invention further improves that: in step 2, a communication connection coefficient a is set ij The method of (1) is as follows: if information interaction can be carried out between the ith following generator set and the jth following generator set, setting a ij =1; otherwise, set a ij =0, if information interaction can be performed between the 0 th leading generator set and the i th following generator set, setting a i0 =1; otherwise, set a i0 ＝0。
The beneficial effects of the invention are as follows: compared with the traditional centralized scheduling method, the distributed scheduling method has the advantages of high efficiency, low communication cost, high fault tolerance, high flexibility and the like; the invention provides a distributed economic dispatch under aperiodic Dos attack, considers the influence of Dos network attack, and can ensure the effectiveness of economic dispatch under information network attack by adopting an incremental cost safety consistency algorithm without isolating an attacked generator set when the network attack is received, thereby realizing the economic and stable operation of an electric power system under the information network attack.
Drawings
FIG. 1 is a topology of a communication network between generator sets according to an embodiment of the present invention.
FIG. 2 is a schematic time diagram of an aperiodic Dos attack in an embodiment of the present invention.
FIG. 3 is a graph of incremental cost changes for each genset in an embodiment of the invention.
Fig. 4 is a graph showing the output power variation of each generator set in the embodiment of the present invention.
Fig. 5 is a graph showing the total output power of the power system according to the embodiment of the present invention.
Fig. 6 is a graph of power bias across all gensets in an embodiment of the invention.
Fig. 7 is a flow chart of the method of the present invention.
Detailed Description
Embodiments of the invention are disclosed in the drawings, and for purposes of explanation, numerous practical details are set forth in the following description. However, it should be understood that these practical details are not to be taken as limiting the invention. That is, in some embodiments of the invention, these practical details are unnecessary.
The invention takes a system formed by 6 generator sets as an example, the topological relation of a communication network is shown in figure 1, and the specific implementation steps are shown in figure 6:
(1) Given systemParameter, total power demand P, number of generator sets n=6 in a given power system D 1800MW, normal number epsilon=0.0008, coefficient eta=0.5, period t=10, power deviation tolerance value θ=10mw, coupling strength c=2, m=4.
(2) Let the cost function of the i-th generator set be:
wherein P is Gi For the output of the ith genset, genset 0 represents the leading genset, parameter α i 、β i 、γ i The following table shows:
| leading generator set | α i | β i | γ i |
| 0 | 561 | 7.92 | 0.001561 |
| Following generator set i | α i | β i | γ i |
| 1 | 561 | 7.92 | 0.001561 |
| 2 | 310 | 7.85 | 0.00194 |
| 3 | 78 | 7.8 | 0.00482 |
| 4 | 561 | 7.92 | 0.001562 |
| 5 | 78 | 7.8 | 0.00482 |
(3) Communication network topology following generator set in power system: setting a communication connection coefficient a ij If information interaction can be carried out between the ith generating set and the jth generating set, setting a ij =1; otherwise, set a ij =0, where i=1,2 …, n, j=1, 2 …, n, i+.j, according to the communication topology of leading genset 0 and following genset i in the power system; setting a communication connection coefficient a i0 If the leading type generator set and the following generator set i can perform information interaction, a i0 =1, otherwise, set a i0 =0, adjacency matrix { a } ij Sum { a } i0 The following table shows the cases
(4) Setting the initial time as t 0 Let t 0 =0, and incremental cost λ for leading genset 0 0 Giving an initial value, calculating increment cost lambda of the ith following generator set i (t 0 )：
Incremental costs for lead genset 0 are shown in the following table:
| leading generator set | Incremental cost of |
| 0 | 8.5444 |
The initial power output power of genset i is shown in the following table:
| i | power of generator set |
| 1 | 200 |
| 2 | 250 |
| 3 | 100 |
| 4 | 200 |
| 5 | 100 |
The incremental cost of genset i is calculated as follows:
| i | incremental cost lambda of genset i i (t 0 ) |
| 1 | 8.5444 |
| 2 | 8.8200 |
| 3 | 8.7640 |
| 4 | 8.0762 |
| 5 | 8.7684 |
(5) The 0 th generator set is set as a leader generator set, and the other 5 generator sets are follower generator sets. Incremental cost consistency update algorithm for the i-th generator set:
wherein the method comprises the steps of
c is the coupling strength; a, a ij Is a communication connection coefficient; lambda (lambda) j (t) incremental cost at time t for each following genset j; lambda (lambda) i (t) incremental cost at time t for each following genset i; a, a i0 The 0 th generator set is a communication connection coefficient according to the information interaction capability with the following generator set; lambda (lambda) 0 Assigning a value to the incremental cost of the leading generator set; lambda (lambda) i (t) incremental cost for each following genset at time t,
time for the nth attack initiation; delta n Duration for the nth attack; u (u) n Recovery time for the nth attack; η is a positive constant.
(6) Calculating the output power P at time t= (m+1) T, m=1, 2, …, leading and following at this time 0 (t) and P i (t) is:
output power of the following generator set:
output power of leading type generating set:
wherein: lambda (lambda) i ((m+1) T) is the incremental cost of the follower, beta i 、γ i Lambda is a coefficient following the secondary cost function of the generator set 0 Incremental cost assignment for lead genset, gamma 0 、β 0 Expressed as coefficients of the leading genset 0 quadratic cost function.
(7) The power deviation of the generator set is as follows:
where Δp represents the deviation of the overall power system power demand from the power supply. P (P) D Is the total power demand; p (P) G0 ((m+1) T) is the output power of the lead type generator set 0; output power P of following type generator set i Gi ((m+1)T)。
(8) Judging whether the |delta P| meets the tolerance error theta of the given supply and demand deviation, if the |delta P| is less than or equal to theta, turning to the step 8, otherwise, increasing the increment cost lambda of the leading type generator set 0 +ΔP((m+1)T)→λ 0 And m+1- & gt m, and then jumping to the step 4.
(9) The power output of each generator set in the system is dynamically adjusted according to the increment cost according to the following formula:
optimum power of leading type generating set:
optimum power of the following generator set:
wherein: lambda (lambda) 0 To lead the generatorIncremental cost assignment of the group; gamma ray 0 、β 0 Coefficients, lambda, expressed as a quadratic cost function of lead genset 0 i ((m+1) T) is the incremental cost of the follower, beta i 、γ i To follow the coefficients of the generator set quadratic cost function.
In order to verify the effectiveness of the invention, a simulation experiment is performed based on the following assumption that the leading generator set 0 is not attacked by the information network and the incremental cost is kept unchanged in each period T.
Fig. 2 shows a variation of Dos attack on the power system, and it can be seen that the attack time of the power system is irregular, dos=1 when the power system is attacked, and dos=0 when the power system is not attacked.
Fig. 3 shows the incremental cost change of each of the 5 following-type generating sets, and it can be seen that the incremental cost of the generating set under Dos attack in each period T tends to the incremental cost of the leader-type generating set 0, and after the mT period, the incremental cost of the generating set tends to be consistent, so as to meet the requirement of economic dispatch optimization generating cost.
Fig. 4 shows the power change of each of the 5 generator sets, and it can be seen that the power change of the generator set under Dos attack, when the generator set under Dos attack, the output power of the generator set remains unchanged, and after the period of mT, m=1, 2..n, the power of the generator set tends to be stable on the basis of satisfying the supply-demand balance, and meets the power supply requirement of each generator set.
Fig. 5 shows the total output power variation of the generator set, which eventually tends to 1800MW of power required by the electric power system, and meets the power supply and demand balance requirement.
Fig. 6 reflects the power deviation of all the generator sets, which tends to be 0 in each period T.
The invention provides a distributed economic dispatching method of an electric power system under aperiodic Dos attack. Firstly, modeling economic dispatch of a distributed power system, and setting communication network topology between a leading type generator set and a following type generator set; further, taking the situation that the information network is attacked by aperiodic Dos into consideration, constructing a Dos attack model; then, a control strategy aiming at the incremental cost of the leading type generator set is designed to realize power supply and demand balance, and meanwhile, an incremental cost distributed safety consistency algorithm aiming at the follower generator set under the DoS attack is constructed to realize power generation cost optimization.
The foregoing description is only illustrative of the invention and is not to be construed as limiting the invention. Various modifications and variations of the present invention will be apparent to those skilled in the art. Any modification, equivalent replacement, improvement, or the like, which is within the spirit and principles of the present invention, should be included in the scope of the claims of the present invention.
Claims (6)
1. The utility model provides a distributed economic dispatch method of electric power system under aperiodic Dos attack for adopt the secondary cost function and have communication network topology's electric power system between the generating set, its characterized in that: the distributed economic dispatching method of the power system comprises the following steps:
step 1: giving system parameters including the number n of generator sets in the power system and the total power demand P D Parameter alpha i Parameter beta i Parameter gamma i Wherein alpha is i 、β i 、γ i As coefficients of the quadratic cost function, i represents the number of the generator set, i=1, 2, 3..the period T, m represents the number of periods, m=0, 1,2, 3..the positive constant epsilon determines the convergence speed of the generator set, the time of initiation of the nth attack
Duration delta of nth challenge n Nth attack recovery time u n Normal number eta, power deviation tolerance value theta, coupling strength c;
step 2: one of the generator sets is selected as a leading generator set and is expressed as a 0 th generator set, and the following generator set is used for generating information according to the informationInteractive capability, setting communication connection coefficient a ij J=1, 2,3., n, i not equal to j, the 0 th generator set sets a communication connection coefficient a according to the information interaction capability with the following generator set i0 ；
Step 3: setting the initial time as t 0 Let t 0 =0, and assigning λ to the incremental cost of the leading genset in step 2 0 Calculating the increment cost lambda of other ith following generator sets i (t 0 )；
Step 4: in the mT period, updating the increment cost lambda of each following generator set at the time t by using an increment cost safety consistency algorithm i (t)；
Step 5: calculating the output power P of the leading generator set and the following generator set at the time t= (m+1) T 0 (t) and P i (t)；
Step 6: calculating power |delta P (T) | of supply-demand deviation of a leading generator set and a following generator set at a time t= (m+1) T;
step 7: judging whether the power |delta P (t) | of the supply and demand deviation in the step 6 meets a given power deviation tolerance value theta, if the power |delta P (t) | is less than or equal to theta, turning to the step 8, otherwise, turning to lambda 0 +ΔP((m+1)T)→λ 0 And m+1- & gt m is jumped to the step 4;
step 8: the incremental cost lambda of the leader according to step 7 0 Incremental cost lambda of follower i ((m+1) T), calculating the optimal output power P of the leading generator set and the following generator set G0 * P Gi * Wherein: the incremental cost safety consistency algorithm of the ith following generator set in the step 4 is as follows:
c is the coupling strength; a, a ij Is a communication connection coefficient; lambda (lambda) i (t) incremental cost at time t for each following genset j; lambda (lambda) i (t) incremental cost at time t for each following genset i; a, a i0 The 0 th leading generator set is according to the communication connection coefficient of the information interaction capability with the following generator set; lambda (lambda) 0 Assigning a value to the incremental cost of the leading generator set; lambda (lambda) i (t) incremental cost for each following genset at time t,
time for the nth attack initiation; delta n Duration for the nth attack; u (u) n Recovery time for the nth attack; η is a positive constant.
2. The power system distributed economic dispatch method under aperiodic Dos attack according to claim 1, wherein: in the step 3, the i-th following generator set has increment cost lambda i (t 0 ) Is calculated as follows:
λ i (t 0 )＝β i +2γ i P Gi (t 0 )
wherein: lambda (lambda) i (t 0 ) Incremental cost for the ith following genset, beta i 、γ i To follow the coefficients of the generator set secondary cost function, P Gi (t 0 ) To follow the output power of the generator set at the initial moment.
3. The power system distributed economic dispatch method under aperiodic Dos attack according to claim 1, wherein: setting a communication connection coefficient a in the step 2 ij The method of (1) is as follows: if information interaction can be carried out between the ith following generator set and the jth following generator set, setting a ij =1; otherwise, set a ij =0, if information interaction can be performed between the 0 th leading generator set and the i th following generator set, setting a i0 =1; otherwise, set a i0 ＝0。
4. The power system distributed economic dispatch method under aperiodic Dos attack according to claim 1, wherein: in the step 5, when the time t= (m+1) T, the output power of the generator set is:
following the output power of the generator set:
leading the output power of the generator set:
wherein: lambda (lambda) i ((m+1) T) is the incremental cost of follower i, beta i 、γ i Lambda is a coefficient following the secondary cost function of the generator set 0 Incremental cost assignment for lead genset, gamma 0 、β 0 Expressed as coefficients of the leading genset 0 quadratic cost function.
5. The power system distributed economic dispatch method under aperiodic Dos attack according to claim 4, wherein: in the step 6, when the time t= (m+1) T, the power deviation of the generator set is:
wherein: Δp represents the deviation of the overall power system power demand from the power supply; p (P) D Is the total power demand; p (P) G0 ((m+1) T) is the output power of the lead type generator set 0; output power P of following type generator set i Gi ((m+1)T)。
6. The power system distributed economic dispatch method under aperiodic Dos attack according to claim 1, wherein: in the step 8, at time t, the optimal power of the generator set is:
leaderOptimum power of the motor group:
following the optimal power of the generator set:
wherein: lambda (lambda) 0 Assigning a value to the incremental cost of the leading generator set 0; gamma ray 0 、β 0 Coefficients, lambda, expressed as a quadratic cost function of lead genset 0 i ((m+1) T) is the incremental cost of following genset i, beta i 、γ i Is a coefficient of the quadratic cost function.
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