CN111191848A - Economic dispatching method for power system - Google Patents

Economic dispatching method for power system Download PDF

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CN111191848A
CN111191848A CN202010000477.5A CN202010000477A CN111191848A CN 111191848 A CN111191848 A CN 111191848A CN 202010000477 A CN202010000477 A CN 202010000477A CN 111191848 A CN111191848 A CN 111191848A
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generator
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power system
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荣丽娜
樊毕芳
苏鹏
刘云飞
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Nanjing University of Posts and Telecommunications
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Abstract

The invention provides an economic dispatching method of a power system, which mainly comprises the following steps: setting parameters of the power system; obtaining a row random matrix of the Laplace matrix; setting parameters and calculating the value of a consistency variable and a power error; calculating a consistency variable value of the next state by using a consistency iterative formula; calculating the output power of the generator and the power consumption of the load, and judging whether the output power of the generator and the power consumption of the load meet constraint conditions or not; setting a driving function for updating the control rate; and judging whether the iteration is finished and judging whether the communication topology is changed. The invention realizes the economic dispatching of the power system based on the communication time lag in the communication protocol of the power system, and combines the event-driven control and the communication time lag consistency algorithm, thereby avoiding the resource waste and reducing the communication blockage.

Description

Economic dispatching method for power system
Technical Field
The invention relates to an economic dispatching method for an electric power system, and belongs to the field of economic dispatching of electric power systems.
Background
The main purpose of economic dispatching of the power system is to reduce the energy consumption of the whole power grid by formulating an optimal distribution scheme between each power station and loads on the premise of meeting the power demand, the power quality and safe and reliable operation, so that enterprises can obtain the maximum economic benefit. The method has the advantages that a plurality of flexible loads exist in the power system, the dispatching center needs to exchange information with each dispatching object, if a centralized dispatching method is adopted, the communication topology construction cost is high, and in order to realize that the plug-and-play topology structure is changeable, great influence is brought to dispatching. The distributed economic dispatching method obtained by applying the consistency algorithm to the economic dispatching method can well avoid the burden caused by overlarge information processing of the traditional central controller.
In the transmission of information, a time lag is inevitably generated due to a problem of a device or a signal. The time lag often causes the instability of the system, the time lag problem cannot be ignored, and in the actual micro-grid system, due to the dispersion of distributed power generation, the distance between the generators can reach several kilometers, so that the time lag occurs to the information interaction between the generators due to the communication condition. The impact of time lag is taken into account in the economic dispatch of the power system. And event-driven control is added into the consistency algorithm, so that the communication requirement is further reduced, the investment on communication equipment is greatly reduced, and resources are saved.
In view of the above, it is necessary to provide an economic dispatching method for an electric power system to solve the above problems.
Disclosure of Invention
The invention aims to provide an economic dispatching method of a power system, which is additionally provided with event driving on the basis of a consistency algorithm considering communication time lag and enables the economic cost of the power system to be minimum by assuming an economic dispatching objective function.
In order to achieve the purpose, the invention provides an economic dispatching method of a power system, which mainly comprises the following steps:
step 1, providing a power system, and setting parameters of the power system, including system running time T, sampling time interval T, power regulation coefficient epsilon and timeLag τ, the number of iterations required in total being kmax＝t/T；
Step 2, forming an adjacency matrix according to the communication topological graph to obtain a row random matrix of the Laplace matrix of the power system;
step 3, setting the number of the generators and parameters of the objective function;
step 4, calculating the output power P of the generatorGiElectric power P for loadDjA consistent variable value of;
step 5, calculating the output power P of the generatorGiElectric power P for loadDjA power error between;
step 6, calculating a consistency variable value of the next state by using a consistency iterative formula, and updating through a leader updating formula and a follower updating formula;
step 7, calculating the output power of the generator and the power consumption of the load through the consistency variable value, and judging whether the output power of the generator and the power consumption of the load meet constraint conditions: if so, taking the current output power of the generator and the current load power consumption as calculated values; if the maximum value or the minimum value of the output power of the generator and the electric power of the load is not met, the maximum value or the minimum value of the output power of the generator and the electric power of the load is used as a calculation value, and the output power of the generator and the electric power of the load meet constraint conditions;
step 8, setting a driving function for updating the control rate so as to control all consistent variable values of the power system to tend to be consistent;
and 9, if the residual iteration number is not 0, returning to the step 5, if the residual iteration number is 0, judging whether the communication topology is changed, if so, returning to the step 2, otherwise, ending.
Optionally, in step 2, the row random matrix of the laplacian matrix of the power system is:
D＝[dij]∈Rn，
Figure BDA0002353079650000021
optionally, in step 3, the objective function includes a generator cost function and a load electricity utilization benefit function, where the generator cost function is:
Figure BDA0002353079650000031
wherein, ai、bi、ciIs the cost factor of the ith generator, PGiIs the output power of the ith generator, PGimaxAnd PGiminRespectively representing the maximum output power and the minimum output power of the generator, wherein i represents the serial number of the generator;
the load electricity utilization gain function is as follows:
Figure BDA0002353079650000032
wherein e isj、fjCoefficient of return for jth load, PDjElectric power for the jth load, PDjmaxAnd PDjminRespectively representing the maximum power consumption and the minimum power consumption of the load, wherein j represents the serial number of the load;
the economic dispatching model is as follows:
min∑Bj(PDj)-∑Ci(PGi)。
optionally, in step 4, the calculation formulas of the consistent variable values of the output power of the generator and the power consumption of the load are respectively:
Figure BDA0002353079650000033
and
Figure BDA0002353079650000034
optionally, in step 5, a calculation formula of a power error between the output power of the generator and the electrical power used by the load is as follows:
ΔP＝∑PDj-∑PGi，
where Δ P is the power error.
Optionally, in step 6, the consistency iteration formula is:
Figure BDA0002353079650000035
wherein the content of the first and second substances,
Figure BDA0002353079650000036
is Laplace matrix determined by generator communication topology, and the consistent variable value of the next state is lambdai(k+1)，i＝1，…6。
Optionally, in step 6, the leader update formula is:
Figure BDA0002353079650000037
the follower update formula is:
Figure BDA0002353079650000041
optionally, in step 7, the output power of the generator is:
Figure BDA0002353079650000042
the load power consumption is as follows:
Figure BDA0002353079650000043
optionally, in step 8, the driving function is:
Figure BDA0002353079650000044
wherein the content of the first and second substances,
Figure BDA0002353079650000045
denotes λi(t) at the moment of driving
Figure BDA0002353079650000046
A value of (A) when
Figure BDA0002353079650000047
When the temperature of the water is higher than the set temperature,
Figure BDA0002353079650000048
optionally, in step 8, the update formula of the control rate is:
Figure BDA0002353079650000049
the invention has the beneficial effects that: the invention realizes the economic dispatching of the power system based on the communication time lag in the communication protocol of the power system, and combines the event-driven control and the communication time lag consistency algorithm, thereby avoiding the resource waste and reducing the communication blockage.
Drawings
FIG. 1 is a flow chart of a power system economic dispatch method of the present invention.
Fig. 2 is a diagram of the communication topology between the generator and the load before the communication topology is changed in the present invention.
Fig. 3 is a communication topology diagram between the generator and the load after the communication topology adds a third load in the present invention.
FIG. 4 is a graph of the drive interval for each of the consistency variables in the present invention.
FIG. 5 is a graph of the variation of various consistency variables of the present invention.
Fig. 6 is a graph showing changes in the output power of the generator and the electric power consumed by the load according to the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described in detail with reference to the accompanying drawings and specific embodiments.
As shown in fig. 1, the present invention provides an economic dispatching method for an electric power system, which mainly comprises the following steps:
step 1, providing a power system, setting parameters of the power system, wherein the parameters comprise system running time T, sampling time interval T, power regulation coefficient epsilon and time lag tau, and the number of times of iteration which is needed in total is kmax＝t/T；
Step 2, forming an adjacency matrix according to the communication topological graph to obtain a row random matrix of the Laplace matrix of the power system;
step 3, setting the number of the generators and parameters of the objective function;
step 4, calculating the output power P of the generatorGiElectric power P for loadDjA consistent variable value of;
step 5, calculating the output power P of the generatorGiElectric power P for loadDjA power error between;
step 6, calculating a consistency variable value of the next state by using a consistency iterative formula, and updating through a leader updating formula and a follower updating formula;
step 7, calculating the output power of the generator and the power consumption of the load through the consistency variable value, and judging whether the output power of the generator and the power consumption of the load meet constraint conditions: if so, taking the current output power of the generator and the current load power consumption as calculated values; if the maximum value or the minimum value of the output power of the generator and the electric power of the load is not met, the maximum value or the minimum value of the output power of the generator and the electric power of the load is used as a calculation value, and the output power of the generator and the electric power of the load meet constraint conditions;
step 8, setting a driving function for updating the control rate so as to control all consistent variable values of the power system to tend to be consistent;
and 9, if the residual iteration number is not 0, returning to the step 5, if the residual iteration number is 0, judging whether the communication topology is changed, if so, returning to the step 2, otherwise, ending.
The following will specifically explain step 1 to step 9.
In step 1, setting parameters of the power system: the system running time T is 150s, the sampling time interval T is 0.005s, the power regulation factor e is 0.005 andthe time lag tau is 1, and the number of times of iteration is kmax＝30000。
As shown in fig. 2, in step 2, the row random matrix of the laplacian matrix of the power system is:
D＝[dij]∈Rn，
Figure BDA0002353079650000061
laplace matrix, with three generators and two loads as an example
Figure BDA0002353079650000062
Comprises the following steps:
Figure BDA0002353079650000063
as shown in FIG. 3, a third load is added at 50s, when the Laplace matrix is used
Figure BDA0002353079650000064
Comprises the following steps:
Figure BDA0002353079650000065
in step 3, the objective function comprises a generator cost function and a load electricity utilization benefit function, wherein the generator cost function is as follows:
Figure BDA0002353079650000066
wherein, ai、bi、ciIs the cost factor of the ith generator, PGiIs the output power of the ith generator, PGimaxAnd PGiminRespectively representing the maximum output power and the minimum output power of the generator, wherein i represents the serial number of the generator;
the load electricity utilization gain function is as follows:
Figure BDA0002353079650000071
wherein e isj、fjCoefficient of return for jth load, PDjElectric power for the jth load, PDjmaxAnd PDjminThe maximum power consumption and the minimum power consumption of the load are respectively represented, and j represents the serial number of the load.
When the number of generators and loads is 3, the parameter settings are as follows:
generator ai bi ci PGi
1 506 8.0650 0.03124 170
2 261 6.2950 0.12475 100
3 322 8.3700 0.15425 150
Load(s) ej fj PDj
1 26.6250 -0.1123 150
2 19.2356 -0.0658 170
3 48.1200 -0.1532 100
The economic dispatching model is as follows:
min∑Bj(PDj)-∑Ci(PGi)。
in step 4, the output power P of the generator is definedGiElectric power P for loadDjIs initialized to λi(selecting lambda)1、λ4As a leader), the calculation formula of the consistent variable value at this time is:
Figure BDA0002353079650000072
and
Figure BDA0002353079650000073
to obtain
Figure BDA0002353079650000074
And calculated to give the following formula:
Figure BDA0002353079650000081
in step 5, power error Δ P ═ Σ P is calculatedDj-∑PGi，ΔP＝PD1+PD2+PD3-PG1-PG2-PG3Where Δ P is the power error, PGiIs the output power of the ith generator, PDjIs the power of the jth load.
In step 6, the consistency iteration formula is as follows:
Figure BDA0002353079650000082
wherein the content of the first and second substances,
Figure BDA0002353079650000083
is Laplace matrix determined by generator communication topology, and the consistent variable value of the next state is lambdai(k +1), i ═ 1, … 6. Increasing or decreasing leader λ according to the value of Δ P1，λ4The value of (c).
The leader update formula is:
Figure BDA0002353079650000084
the follower update formula is:
Figure BDA0002353079650000085
in step 7, the specific output power of the generator is:
Figure BDA0002353079650000086
the specific load electric power is as follows:
Figure BDA0002353079650000091
in step 8, the driving function is:
Figure BDA0002353079650000092
wherein the content of the first and second substances,
Figure BDA0002353079650000093
denotes λi(t) at the moment of driving
Figure BDA0002353079650000094
A value of (A) when
Figure BDA0002353079650000095
When the temperature of the water is higher than the set temperature,
Figure BDA0002353079650000096
whether the control rate is updated or not can be judged through a driving function, and the judgment is specifically as follows: judging whether the driving function is less than or equal to 0, if the driving function is less than or equal to 0, the control rate is unchanged, and the last value is still taken, and if the driving function is greater than 0, the control rate is updated according to the following formula:
Figure BDA0002353079650000097
in step 9, when the system runs for 50s, adding a third load, and when the communication topology changes, returning to step 2.
As shown in fig. 4, at a certain time, when the line appears black, it indicates that the communication state is established between each generator and the load, and when the line appears white, it indicates that the communication state is not established between each generator and the load.
As shown in fig. 5, when the values of the consistency variables tend to be consistent, the values that tend to be consistent are the optimal solutions of the consistency variables, and the output power and the load power consumption of each generator tend to be the respective values, at this time, the benefit obtained by subtracting the power generation cost from the power consumption benefit is the largest. After a third load was added at 50s, the consistency variable again went to another stable value over time.
After the third load is added at 50s, the output power of the generator and the power consumption of the load reach another stable state again after a period of operation, as shown in fig. 6.
In conclusion, the economic dispatching of the power system is realized based on the communication time lag in the communication protocol of the power system, the event-driven control and the communication time lag consistency algorithm are combined, the resource waste is avoided, the communication blockage is reduced, meanwhile, the problem of sudden topology change is solved by changing the Laplace matrix in the communication time lag consistency algorithm, and the plug and play of the smart grid elements can be realized.
Although the present invention has been described in detail with reference to the preferred embodiments, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted for elements thereof without departing from the spirit and scope of the present invention.

Claims (10)

1. The economic dispatching method of the power system is characterized by mainly comprising the following steps of:
step 1, providing a power system, setting parameters of the power system, wherein the parameters comprise system running time T, sampling time interval T, power regulation coefficient epsilon and time lag tau, and the number of times of iteration which is needed in total is kmax＝t/T；
Step 2, forming an adjacency matrix according to the communication topological graph to obtain a row random matrix of the Laplace matrix of the power system;
step 3, setting the number of the generators and parameters of the objective function;
step 4, calculating the output power P of the generatorGiElectric power P for loadDjA consistent variable value of;
step 5, calculating the output power P of the generatorGiElectric power P for loadDjA power error between;
step 6, calculating a consistency variable value of the next state by using a consistency iterative formula, and updating through a leader updating formula and a follower updating formula;
step 7, calculating the output power of the generator and the power consumption of the load through the consistency variable value, and judging whether the output power of the generator and the power consumption of the load meet constraint conditions: if so, taking the current output power of the generator and the current load power consumption as calculated values; if the maximum value or the minimum value of the output power of the generator and the electric power of the load is not met, the maximum value or the minimum value of the output power of the generator and the electric power of the load is used as a calculation value, and the output power of the generator and the electric power of the load meet constraint conditions;
step 8, setting a driving function for updating the control rate so as to control all consistent variable values of the power system to tend to be consistent;
and 9, if the residual iteration number is not 0, returning to the step 5, if the residual iteration number is 0, judging whether the communication topology is changed, if so, returning to the step 2, otherwise, ending.
2. The power system economic dispatch method of claim 1, wherein: in step 2, the row random matrix of the laplace matrix of the power system is:
D＝[dij]∈Rn，
Figure FDA0002353079640000011
3. the economic dispatching method of the power system as claimed in claim 1, wherein in step 3, the objective function comprises a generator cost function and a load electricity utilization benefit function, and the generator cost function is:
Figure FDA0002353079640000021
wherein, ai、bi、ciIs the cost factor of the ith generator, PGiIs the output power of the ith generator, PGi maxAnd PGi minRespectively representing the maximum output power and the minimum output power of the generator, wherein i represents the serial number of the generator;
the load electricity utilization gain function is as follows:
Figure FDA0002353079640000022
wherein e isj、fjCoefficient of return for jth load, PDjElectric power for the jth load, PDj maxAnd PDj minRespectively representing the maximum power consumption and the minimum power consumption of the load, wherein j represents the serial number of the load;
the economic dispatching model is as follows:
min∑Bj(PDi)-∑Ci(PGi)。
4. the power system economic dispatch method of claim 3, wherein: in step 4, the calculation formulas of the consistent variable values of the output power of the generator and the power consumption of the load are respectively as follows:
Figure FDA0002353079640000023
and
Figure FDA0002353079640000024
5. the economic dispatching method of the power system as claimed in claim 1, wherein in step 5, the calculation formula of the power error between the output power of the generator and the power consumed by the load is as follows:
ΔP＝∑PDj-∑PGi，
where Δ P is the power error.
6. The power system economic dispatch method of claim 1, wherein: in step 6, the consistency iteration formula is as follows:
Figure FDA0002353079640000025
wherein the content of the first and second substances,
Figure FDA0002353079640000026
is Laplace matrix determined by generator communication topology, and the consistent variable value of the next state is lambdai(k+1)，i＝1，…6。
7. The power system economic dispatch method of claim 6, wherein: in step 6, the leader update formula is:
Figure FDA0002353079640000031
Figure FDA0002353079640000032
the follower update formula is:
Figure FDA0002353079640000033
Figure FDA0002353079640000034
8. the power system economic dispatch method of claim 3, wherein: in step 7, the output power of the generator is:
Figure FDA0002353079640000035
the load power consumption is as follows:
Figure FDA0002353079640000036
9. the power system economic dispatch method of claim 1, wherein: in step 8, the driving function is:
Figure FDA0002353079640000037
wherein the content of the first and second substances,
Figure FDA0002353079640000038
Figure FDA0002353079640000039
denotes λi(t) at the moment of driving
Figure FDA00023530796400000310
A value of (A) when
Figure FDA00023530796400000312
When the temperature of the water is higher than the set temperature,
Figure FDA00023530796400000311
10. the power system economic dispatch method of claim 9, wherein: in step 8, the update formula of the control rate is:
Figure FDA0002353079640000041
CN202010000477.5A 2020-01-02 2020-01-02 Economic dispatching method for power system Withdrawn CN111191848A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113269420A (en) * 2021-05-14 2021-08-17 南京邮电大学 Distributed event-driven power economy scheduling method based on communication noise

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113269420A (en) * 2021-05-14 2021-08-17 南京邮电大学 Distributed event-driven power economy scheduling method based on communication noise

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Application publication date: 20200522