CN108321817B - Distributed secondary frequency modulation control method considering energy storage - Google Patents

Distributed secondary frequency modulation control method considering energy storage Download PDF

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CN108321817B
CN108321817B CN201810026439.XA CN201810026439A CN108321817B CN 108321817 B CN108321817 B CN 108321817B CN 201810026439 A CN201810026439 A CN 201810026439A CN 108321817 B CN108321817 B CN 108321817B
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energy storage
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CN108321817A (en
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张圣祺
赵剑锋
袁蓓
赵易纬
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Southeast University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/24Arrangements for preventing or reducing oscillations of power in networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/28Arrangements for balancing of the load in a network by storage of energy
    • H02J3/32Arrangements for balancing of the load in a network by storage of energy using batteries with converting means
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]

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Abstract

The invention discloses a distributed secondary frequency modulation control method considering energy storage, and belongs to the technical field of power generation of secondary frequency modulation of a power grid. According to the method, a disadvantage index function based on charging and discharging power offset and charge state offset is established for the situation that energy storage participates in secondary frequency modulation, a disadvantage index function based on power offset is established for the situation that a traditional motor set participates in secondary frequency modulation, the consistency variable of a frequency modulation power supply is determined according to the partial derivative of the disadvantage index function relative to the power offset, secondary frequency modulation demand is distributed according to the proportion of the maximum power offset of the frequency modulation power supply relative to the total frequency modulation power of a system, the consistency variable of the frequency modulation power supply is updated in a targeted iteration mode by minimizing the power offset and the charge state offset, rapidity of energy storage frequency modulation response is fully utilized, accurate tracking of an ACE signal of the system is achieved, the frequency modulation capability of a power grid is improved, and the robustness of.

Description

Distributed secondary frequency modulation control method considering energy storage
Technical Field
The invention discloses a distributed secondary frequency modulation control method considering energy storage, and belongs to the technical field of power generation of secondary frequency modulation of a power grid.
Background
In order to promote the optimization and upgrade of the energy industry and realize the development of clean low carbon, in recent years, China vigorously develops clean energy, wind power and photovoltaic realize the leap-type large development, and the installed capacity of new energy is increasingly increased. However, when clean energy is developed at a high speed, the inertia of a regional power grid is reduced, the frequency modulation capacity is insufficient and frequency instability is caused due to the grid connection of the fluctuating intermittent new energy, so that the frequency modulation capacity of the traditional power supply cannot meet the requirement of power grid frequency modulation.
In recent years, the utilization of large-scale energy storage power supply to participate in power grid frequency modulation has been widely concerned by the industry. The energy storage power supply has the advantages of high response speed, accurate control and the like when participating in frequency modulation, and the frequency modulation effect can be improved to a great extent. Currently, the battery energy storage system participates in power grid frequency modulation through a centralized integration mode into a power grid, and research foundation and application demonstration are provided.
At present, there are four patent methods listed below for secondary frequency modulation of a system in an electric power system with the participation of energy storage.
The patent "a battery energy storage power source participates in the coordination control method and system of the electric wire netting secondary frequency modulation" and patent application number 20140430948.0 proposes: firstly, a battery energy storage power supply is installed in a regional power grid needing to be matched, and whether a regional control deviation signal exceeds a set regulation dead zone is judged; then, determining the time and the output depth of the battery energy storage participating in frequency modulation through dividing a typical application scene; and then, after the theoretical frequency modulation instruction is converted into an actual frequency modulation instruction, the charging/discharging control of the battery energy storage power supply is realized through an energy conversion system.
The second patent "battery energy storage system participating in power grid secondary frequency modulation control method" (patent application No. 201510661298.5) proposes: determining an adjusting coefficient of the battery energy storage system participating in secondary frequency modulation according to the unbalance of the load and the generating power in the power grid, and determining the relation between the adjusting coefficient and the unbalance of the load and the generating power in the power grid; the unbalance amount of the load and the generating power in the power grid is subjected to a generator-load frequency characteristic link to obtain a frequency difference value of the system, and then is subjected to PI links of all power supplies participating in secondary frequency modulation of the power grid to obtain the power to be changed of all the power supplies.
The third patent, AGC control method and system for energy storage participating in secondary frequency modulation of power grid (patent No. 201510888434.4), proposes: generating a real-time area control error and a real-time area control instruction of the power grid according to the frequency deviation of the power grid and the exchange power deviation of the tie line; and according to the control interval in which the real-time region control error is positioned, distributing the adjustment quantity of the battery energy storage system and the initial charge state of the battery energy storage system by using the real-time region control instruction and the preset control logic to determine the real-time charge state of the battery energy storage system, and accordingly determining the actual adjustment quantity of the battery energy storage system.
The fourth patent "a method and a device for an energy storage system to participate in the secondary frequency control of a power grid" (patent No. 201610032450.8) proposes: monitoring the power grid frequency, and controlling when the power grid frequency has deviation; determining a secondary frequency control requirement ARR of a power grid, and determining participation factors of a frequency modulation unit; determining a basic secondary frequency modulation instruction according to the ARR and the participation factor; determining an additional secondary frequency modulation instruction of a generator set sharing the frequency modulation task of the energy storage set; and determining total frequency modulation instructions of the energy storage unit and the generator units not sharing the frequency modulation tasks of the energy storage unit, and sending the total frequency modulation instructions to the generator units sharing the frequency modulation tasks of the energy storage unit.
The above patents are mainly based on a fixed responsibility division method, which cannot meet the real-time change of charge state under the penetration of renewable energy. In addition, some methods do not fully exert the capacity of the battery for storing energy and rapidly responding to the frequency modulation requirement, and similarly, some methods neglect the change of the energy storage charge state of the battery and further cannot ensure the residual chargeable and dischargeable capacity of the battery.
Disclosure of Invention
The invention aims to provide a distributed secondary frequency modulation control method considering energy storage, which aims to overcome the defects of the background technology, simultaneously realizes the minimization of energy storage charge state offset and frequency modulation power supply power offset through a distributed algorithm, reduces the running loss of equipment, prolongs the service life of a frequency modulation power supply, improves the robustness of a system, and solves the technical problems that the conventional secondary frequency modulation scheme considering energy storage does not fully exert the capacity of quickly responding to the frequency modulation requirement of the energy storage and cannot ensure the residual chargeable and dischargeable capacity of the energy storage.
The invention adopts the following technical scheme for realizing the aim of the invention:
a distributed secondary frequency modulation control method considering energy storage is characterized in that basic information of a frequency modulation power supply considering energy storage is obtained, a disadvantage index function of the frequency modulation power supply considering energy storage is established, a regional control error signal of a system is collected and converted into a power signal, the state quantity of the frequency modulation power supply is initialized according to the power signal corresponding to the regional control error signal and the disadvantage index function of the frequency modulation power supply, the consistency variable of the frequency modulation power supply is iteratively updated according to the initial value of the state quantity of the frequency modulation power supply and by taking the minimum disadvantage index of the frequency modulation power supply in a control region as a target until the consistency variables of adjacent frequency modulation power supplies are consistent, the corresponding power offset when the consistency variables of the adjacent frequency modulation power supplies are consistent is taken as a power output instruction of the frequency modulation power supply, and the adjacent frequency modulation power supplies are frequency modulation power.
As a further optimization scheme of the distributed secondary frequency modulation control method considering the energy storage, a specific method for establishing a disadvantage index function of the frequency modulation power supply considering the energy storage is as follows:
when the traditional power unit is used as a frequency modulation power supply to participate in secondary frequency modulation, a disadvantage index function of the traditional power unit is established by considering the power offset;
when the stored energy is used as a frequency modulation power supply to participate in secondary frequency modulation, a disadvantage index function of the stored energy is established by considering the offset of the charge and discharge power and the offset of the charge quantity.
As a further optimization scheme of the distributed secondary frequency modulation control method considering energy storage, when the conventional power unit participates in secondary frequency modulation as a frequency modulation power supply, the disadvantage index function of the conventional power unit is as follows: DIi,k=aiPi,k 2,DIi,kIs a function value, P, of a disadvantage index of the ith traditional power unit at the kth sampling momenti,kIs the power offset of the ith conventional power unit at the kth sampling moment, aiThe method is a factor for measuring the influence of power offset on the disadvantage index of the ith traditional power unit.
As a further optimization scheme of the distributed secondary frequency modulation control method considering the energy storage, when the energy storage is used as a frequency modulation power supply to participate in secondary frequency modulation, the disadvantage index function of the energy storage is as follows:
Figure GDA0002282254960000031
Figure GDA0002282254960000032
DIi,kthe value of the disadvantage indicator function for the ith energy storage at the kth sampling instant,
Figure GDA0002282254960000033
Figure GDA0002282254960000034
charging power offset and discharging power offset of the ith energy storage at the kth sampling moment respectively, and SoCi,kThe state of charge at the kth sampling instant for the ith energy storage,
Figure GDA0002282254960000035
optimum charge for the ith energy storageElectrical state, aiTo measure the factor of the ith energy storage effect on the index of disadvantage due to power offset, biThe factor for measuring the influence of the ith energy storage on the disadvantage index due to the charge state deviation is used.
As a further optimization scheme of the distributed secondary frequency modulation control method considering energy storage, an expression for converting the collected area control error signal into a power signal is as follows:
Figure GDA0002282254960000036
wherein, ACE0、ACE1、ACEk、ACEKThe region control error signals of the 0 th sampling time, the 1 st sampling time, the K th sampling time and the K th sampling time respectively, delta f0、Δf1、Δfk、ΔfKRespectively the frequency fluctuation, delta P, of the 0 th sampling time, the 1 st sampling time, the K th sampling time and the K th sampling timetie,0、ΔPtie,1、ΔPtie,k、ΔPtie,KThe power fluctuation of the connecting lines at the 0 th sampling moment, the 1 st sampling moment, the K th sampling moment and the K th sampling moment respectively,
Figure GDA0002282254960000041
Figure GDA0002282254960000042
respectively controlling power signals corresponding to the error signals for the 0 th sampling time, the 1 st sampling time, the K th sampling time and the K th sampling timeIIs an integration coefficient, and B is a region frequency response coefficient.
As a further optimization scheme of the distributed secondary frequency modulation control method considering energy storage, the method for initializing the state quantity of the frequency modulation power supply according to the power signal corresponding to the regional control error signal and the disadvantage index function of the frequency modulation power supply comprises the following steps: obtaining the frequency modulation electricity according to the power signal corresponding to the control error signal of the proportional distribution area of the maximum power offset of the frequency modulation power supply in the total frequency modulation power of all the frequency modulation power suppliesPower offset of source:
Figure GDA0002282254960000043
determining a uniformity variable of the frequency modulated power supply by solving a partial derivative of a frequency modulated power supply disadvantage indicator function with respect to a power offset, wherein,
Figure GDA0002282254960000044
for the initial value of the power offset of the ith fm power supply at the kth sampling instant,
Figure GDA0002282254960000045
the maximum power offset of the ith frequency modulation power supply is the proportion of the total frequency modulation power of all the frequency modulation power supplies,
Figure GDA0002282254960000046
Figure GDA0002282254960000047
Figure GDA0002282254960000048
maximum power offset for the ith fm source, I is the set of fm sources that account for stored energy,
Figure GDA0002282254960000049
and controlling a power signal corresponding to the error signal for the k-th sampling moment area.
As a further optimization scheme of the distributed secondary frequency modulation control method considering energy storage, the method for iteratively updating the consistency variable of the frequency modulation power supply by taking the minimum of the frequency modulation power supply disadvantage indexes in the control area as a target according to the initial value of the state quantity of the frequency modulation power supply comprises the following steps:
correcting consistency variables of the frequency modulation power supply of the previous iteration to obtain virtual consistency variables of the frequency modulation power supply of the current iteration:
Figure GDA00022822549600000410
then determining the consistency variable of the current iterative frequency modulation power supply under the constraint of the value range of the consistency variable of the frequency modulation power supply:
Figure GDA00022822549600000411
Wherein the content of the first and second substances,
Figure GDA00022822549600000412
for the consistency variable of the ith frequency modulated power supply of the j-1 th iteration at the kth sampling instant,
Figure GDA00022822549600000413
for the consistency variable, σ, of the FM source x adjacent to the ith FM source for the j-1 th iteration at the kth sampling instant1For measuring the ith frequency modulation power supply virtual consistency variable of the jth iteration at the kth sampling moment
Figure GDA00022822549600000414
The coefficient of the correction speed is such that,
Figure GDA00022822549600000415
for the consistency variable of the ith frequency-modulated power supply of the jth iteration at the kth sampling instant,
Figure GDA00022822549600000416
the value range of the ith frequency modulation power supply consistency variable of the jth iteration at the kth sampling moment,
Figure GDA00022822549600000417
min,λmax),λmax、λminupper and lower limits of the value of the consistency variable respectively;
determining a theoretical value of the power offset of the current iterative frequency modulation power supply according to the consistency variable of the current iterative frequency modulation power supply:
Figure GDA0002282254960000051
correcting the power offset of the frequency modulation power supply of the previous iteration to obtain the virtual power offset of the frequency modulation power supply of the current iteration:
Figure GDA0002282254960000052
and then determining the power offset of the current iterative frequency modulation power supply under the constraint of the value range of the power offset of the frequency modulation power supply:
Figure GDA0002282254960000053
Figure GDA0002282254960000054
when the ith frequency modulation power supply is a traditional motor set, the following steps are carried out:
Figure GDA0002282254960000055
Figure GDA0002282254960000056
when the ith frequency modulation power supply stores energy:
Figure GDA0002282254960000057
wherein the content of the first and second substances,
Figure GDA0002282254960000058
theoretical value of power offset for the ith frequency-modulated power supply for the jth iteration at the kth sampling instant αiIs the coefficient of the quadratic term of the power offset in the ith energy storage disadvantage index function,
Figure GDA0002282254960000059
coefficient of the first term of the power offset in the ith energy storage disadvantage indicator function for the jth iteration at the kth sampling instant αiCoefficient of quadratic term of power offset in ith energy storage disadvantage index function, aiTo measure the factor of the ith conventional motor affecting the disadvantage index due to the power offset, B, G is the energy storage set and the conventional motor set respectively,
Figure GDA00022822549600000510
virtual power bias of ith frequency modulation power supply for jth iteration at kth sampling timeThe amount of the liquid to be moved is,
Figure GDA00022822549600000511
power offset, σ, of the ith FM source for the j-1 th iteration at the kth sampling instant2To measure the coefficient of the virtual power offset correction speed of the ith fm source for the jth iteration at the kth sampling instant,
Figure GDA00022822549600000512
for the power offset of the ith fm source at the jth sampling instant for the jth iteration,
Figure GDA00022822549600000513
for the value range of the ith fm source power offset of the jth iteration at the kth sampling time,
Figure GDA00022822549600000514
respectively the upper and lower limits of the power offset of the ith frequency modulation power supply,
Figure GDA00022822549600000515
respectively the upper and lower limits of the power offset change rate of the ith frequency modulation power supply, delta t is the interval of adjacent sampling moments,
Figure GDA00022822549600000516
for the power offset of the ith frequency modulated power supply at the jth iteration at the kth-1 sample time,
Figure GDA00022822549600000517
respectively the upper limit and the lower limit of the charge state of the ith frequency modulation power supply,
Figure GDA0002282254960000061
the state of charge offset of the ith frequency-modulated power supply for the jth iteration at the kth-1 sampling time.
As a further optimization scheme of the distributed secondary frequency modulation control method considering energy storage, the criterion that the consistent variables of adjacent frequency modulation power supplies are consistent is as follows:
Figure GDA0002282254960000062
ξ is a set threshold for the difference in the uniformity variables of the FM power supply and its neighboring power supplies.
As a further optimization scheme of the distributed secondary frequency modulation control method considering the energy storage, acquiring basic information of the frequency modulation power supply considering the energy storage comprises the following steps: the energy storage system comprises an upper limit and a lower limit of the power offset of the traditional power unit, an upper limit and a lower limit of the climbing speed of the traditional power unit, a power reference value of the traditional power unit, an upper limit and a lower limit of the energy storage power offset, an upper limit and a lower limit of the energy storage climbing speed, a power reference value of the energy storage, the charging and discharging efficiency of the energy storage, the optimal state of charge of the energy storage and an upper limit and a lower limit of the state of.
By adopting the technical scheme, the invention has the following beneficial effects:
(1) the distributed secondary frequency modulation control method considering energy storage, which is provided by the invention, establishes a disadvantage index function based on charging and discharging power offset and charge state offset for the situation that energy storage participates in secondary frequency modulation, establishes a disadvantage index function based on power offset for the situation that a traditional motor group participates in secondary frequency modulation, determines the consistency variable of a frequency modulation power supply according to the partial derivative of the disadvantage index function relative to the power offset, distributes secondary frequency modulation demand according to the proportion of the maximum power offset of the frequency modulation power supply relative to the total frequency modulation power of a system, updates the consistency variable of the frequency modulation power supply by using the minimization of the power offset and the charge state offset as a target iteration, fully utilizes the rapidity of energy storage frequency modulation response, realizes the accurate tracking of an ACE signal of the system, and improves the minimization of the energy storage charge state of the frequency modulation capability of a power grid and the power, the capacity change of the stored energy in the running process is considered, the stored energy is prevented from being forced to be cut off due to capacity saturation, and the mechanical abrasion of the traditional motor set in the frequency modulation process is reduced;
(2) the consistency variable of the frequency modulation power supply is updated by using a distributed algorithm in an iterative manner, the local computing capacity of the frequency modulation power supply is fully utilized, the computing efficiency and the configuration speed are improved, a control center for configuring the power of the frequency modulation power supply is omitted, the communication cost can be saved, when the communication failure occurs in the information connection between the devices, the secondary frequency modulation control strategy can still be continuously carried out in the frequency modulation power supply with the residual information connection, and the robustness of the system is improved.
Drawings
Fig. 1 is a schematic flow chart of a secondary frequency modulation control method according to the present invention.
Fig. 2 is a schematic diagram of the information connection state of the frequency-modulated power supply.
Fig. 3(a), 3(b), and 3(c) are a power offset curve, a tracking error curve, and an energy storage electric quantity state offset curve of a secondary frequency modulation of a conventional motor and energy storage participation system according to an embodiment of the present invention, respectively.
Fig. 4 is a variation curve of the consistency variable of each frequency modulation power supply in the secondary frequency modulation operation process in the embodiment of the invention.
Detailed Description
The technical scheme of the invention is explained in detail in the following with reference to the attached drawings.
The distributed secondary frequency modulation control method with consideration of energy storage disclosed by the invention is shown in fig. 1 and comprises the following 6 steps.
Step 1: obtaining basic information of frequency modulation power supply
The frequency modulation power supply comprises a traditional motor and an energy storage, and the basic information comprises:
(1) minimum and maximum values p of the power offset of a frequency-modulated power supplymin、Pmax
(2) Minimum and maximum values R of the ramp rate of a frequency-modulated power supplymin、RmaxThe ramp rate, i.e., the rate of change of power;
(3) power reference value P of frequency modulation power supplyb
(4) Charge-discharge efficiency η for energy storagec、ηd
(5) Optimum state of charge for energy storage
Figure GDA0002282254960000071
And minimum and maximum state of charge SoC allowed to be reachedmin、SoCmax
When the subscript i is added to the above parameters, the basic information is the basic information of the ith frequency modulation power supply, and the basic information of the (4) th and (5) th bars only aims at the situation that the stored energy participates in secondary frequency modulation as the frequency modulation power supply.
Step 2: determining a mathematical model of a frequency modulated power supply based on a disadvantage indicator
In the method, the secondary frequency modulation disadvantage index of a control area, which is a configuration target of secondary frequency modulation, is minimum.
For two frequency modulation power supplies of a traditional motor and an energy storage, different mathematical model expressions based on a disadvantage index are selected:
Figure GDA0002282254960000072
the secondary frequency modulation disadvantage index of the control area is obtained by adding the disadvantage indexes of each frequency modulation power supply, namely:
DI=∑i∈IDIi,k(2),
in the formulas (1) and (2), G represents a traditional motor set; b represents the set of all stored energy; i represents all frequency modulation power supply sets I which participate in secondary frequency modulation; k represents the kth sampling instant; i represents the ith frequency modulation power supply; DIi,kThe disadvantage index of the ith frequency modulation power supply at the kth sampling moment is represented; DI represents the sum of the disadvantage indicators of the control region at the kth sampling instant.
Pi,kIndicating the ith frequency modulation power supply at the kth sampling time and the power reference value
Figure GDA0002282254960000081
The deviation value of (a); when P is presenti,kWhen the power is more than 0, the running power of the frequency modulation power supply is higher than a reference value; when P is presentikWhen the frequency modulation power supply is less than 0, the running power of the frequency modulation power supply is lower than a reference value.
In order to distinguish the charging and discharging states of the stored energy, the power deviation value of the stored energy is further defined by
Figure GDA0002282254960000082
A charging power offset value representing the stored energy,
Figure GDA0002282254960000083
a discharge power offset value representing the stored energy. In addition, the energy storage device being at any time
Figure GDA0002282254960000084
And
Figure GDA0002282254960000085
at least one of the values is 0.
Figure GDA0002282254960000086
The optimal charge state of the ith frequency modulation power supply is represented, and is generally 50%; SoC (system on chip)i,kAnd the charge state of the ith frequency modulation power supply at the kth sampling moment is shown.
For a certain frequency-modulated power supply, aiAnd biIs a constant number, aiFor measuring the influence of power offset of a FM power supply on a disadvantage indicator, biThe method is used for measuring the influence of the charge state deviation on the disadvantage index of the stored energy.
In a mathematical model of energy storage based on a disadvantage index, SoCi,kCan be expressed as a relation
Figure GDA0002282254960000087
And
Figure GDA0002282254960000088
to stored energy DIi,kIs further derived to
Figure GDA0002282254960000089
And
Figure GDA00022822549600000810
energy storage disadvantage index function DI for variablesi,k
Figure GDA00022822549600000811
Figure GDA00022822549600000812
Figure GDA0002282254960000091
In the formulae (3) to (5),
Figure GDA0002282254960000092
in order to achieve the charging efficiency of the stored energy,
Figure GDA0002282254960000093
for the discharge efficiency of the stored energy, Δ t represents the time interval between two sampling moments;
Figure GDA0002282254960000094
and
Figure GDA0002282254960000095
respectively representing quadratic term coefficients of the ith stored energy in charging and discharging states;
Figure GDA0002282254960000096
and
Figure GDA0002282254960000097
respectively representing the first-order coefficient of the ith stored energy in a charging state and a discharging state; gamma rayi,kIs a coefficient of a constant term and is,
Figure GDA0002282254960000098
and
Figure GDA0002282254960000099
is a constant number of times, and is,
Figure GDA00022822549600000910
and gammai,kDetermined by the state of charge at time k.
Since the stored energy is only in a charging or discharging state at a certain time, the stored energy is summarized as formula (6) based on the expression of the mathematical model of the disadvantage index. And when the calculation of the energy storage disadvantage index function is related to each time, judging the charge and discharge state in advance according to the signs of the configured power, and determining corresponding variables and coefficients according to the charge and discharge state.
DIi,k=αiPi,k 2i,kPi,ki,k(6)。
The battery is in a charged state, Pi,k<0,
Figure GDA00022822549600000911
The stored energy being in a discharged state, Pi,k>0,
Figure GDA00022822549600000912
And step 3: obtaining ACE signal at kth sampling moment
The system ACE signal (i.e., the area control error signal) at the kth sampling time is acquired and converted to a power signal
Figure GDA00022822549600000913
The transformation process is as follows:
Figure GDA0002282254960000101
wherein, ACEkRepresenting the ACE signal at the kth sampling instant; Δ fkRepresents the frequency fluctuation at the kth sampling instant; delta Ptie,kRepresents tie line power fluctuations at the kth sampling instant; kIIs an integral coefficient; b is a region frequency response coefficient; k represents the total number of sampling moments;
Figure GDA0002282254960000102
representing the power signal at the kth sampling instant.
And 4, step 4: initializing state quantities of a frequency-modulated power supply
Initialization
Figure GDA0002282254960000103
At the time, set up
Figure GDA0002282254960000104
Wherein the content of the first and second substances,
Figure GDA0002282254960000105
represents the proportion of the maximum power of the ith frequency modulation power supply to the total frequency modulation power of all the frequency modulation power supplies,
Figure GDA0002282254960000106
the method is characterized in that the secondary frequency modulation requirement of the system is distributed according to the maximum frequency modulation power ratio of the frequency modulation power supply during initialization.
λi,kRepresenting the consistency variable of the ith frequency modulation power supply at the kth sampling moment, and being defined as the partial derivative of the frequency modulation power supply disadvantage index function to the power offset,
Figure GDA0002282254960000107
initialization
Figure GDA0002282254960000108
Then, the calculation is as follows: for a conventional motor:
Figure GDA0002282254960000109
for stored energy:
Figure GDA00022822549600001010
initialization
Figure GDA00022822549600001011
At the time, set up
Figure GDA00022822549600001012
I.e., the initial state of charge is set to the optimal state of charge.
And 5: secondary frequency modulation scheme for iteratively obtaining kth sampling moment
(5-1) judging whether consistency variables of the frequency modulation power supply and adjacent power supplies are consistent or not
If not, entering (5-2) and starting iteration; if the sampling time is consistent with the sampling time, the consistency variable lambda of the ith frequency modulation power supply at the kth sampling time is adjustedi,kCorresponding Pi,kAnd output as a final result. However, in actual operation, since the iterative computation requires time and may not achieve complete consistency of the consistency variables of the frequency modulation power supplies, the iteration is stopped when the consistency variables are approximately consistent or reach the upper limit of the timer, and the last iteration result is output as the final result.
In the scheme, the frequency modulation power supply associated with the presence information is defined as an adjacent power supply. The frequency modulated power supply may obtain status information to the neighboring device via fiber optic communication. Assuming 5 fm power supplies, the information connections between them are as shown in figure 2,
Figure GDA0002282254960000111
indicating that FM source x is adjacent to FM source i if
Figure GDA0002282254960000112
Figure GDA0002282254960000113
It holds that the power supply is considered to be approximately identical to the adjacent power supply, ξ being a constant that measures the degree of approximation.
(5-2) iteratively updating the consistency variable
First, the consistency variable λ is explained, and in step 2, the control objective of the method is determined by configuring the individual frequency-modulated power supplies Pi,kAnd the sum of all the disadvantages of the frequency modulation power supply is minimized. Consistency variable as a function of the disadvantage index for Pi,kCalculating a partial derivative: it can be understood that the change of the disadvantage index caused by the change of one unit of power of the frequency modulation power supply, and the dynamic change of the consistency variable of each frequency modulation power supply can be known through the analysis of the step 2 as follows:
for a conventional motor: lambda [ alpha ]i,k=2aiPi,ki∈B,
For stored energy: lambda [ alpha ]i,k=2αiPi,ki,ki∈G,
Figure GDA0002282254960000114
From the above formula, it can be seen that for a generator, λikBy a coefficient of aiAnd PikAnd (4) determining. When the coefficient is constant, the larger the power offset is, the larger the frequency modulation disadvantage index is. For energy storage, when the coefficient is fixed, the larger the power offset and the larger the electric quantity offset, the higher the disadvantage index of the unit power is.
If the consistency variables of the adjacent devices are compared through information exchange between the frequency modulation power supplies, and when the consistency variables of all the frequency modulation power supplies tend to be consistent, the sum of the disadvantage indexes of all the frequency modulation power supplies reaches the minimum. Specifically, the quadratic modulation power requirement per unit should be determined by λi,kMinimum fm power supply, which after the fm duty is assumed, P for the conventional motori,kAnd P for energy storagei,k、Si,kResponse change occurs, the inferior index of the unit power of the frequency modulation power supply is increased, and then a new frequency modulation power supply with the minimum consistent variable is generated, and the power supply bears the secondary frequency modulation power requirement of the next unit. The specific method for enabling consistency variables of all frequency modulation power supplies to be consistent is as follows:
Figure GDA0002282254960000115
Figure GDA0002282254960000116
Figure GDA0002282254960000121
Figure GDA0002282254960000122
Figure GDA0002282254960000123
(5-2-1) by correcting the consistency variable of the j-1 st iteration
Figure GDA0002282254960000124
Obtaining consistency variable of j iteration
Figure GDA0002282254960000125
Wherein the content of the first and second substances,
Figure GDA0002282254960000126
defined as virtual consistency variables (i.e. without constraints applied)
Figure GDA0002282254960000127
) The correction method is to use the frequency-modulated power supply
Figure GDA0002282254960000128
Respectively and adjacent power supplies
Figure GDA0002282254960000129
Taking difference to obtain the sum of the difference values of the consistency variables of the frequency-modulated power supply and all adjacent power supplies, coefficient sigma1To correct the scale.
(5-2-2) by virtual consistency variables
Figure GDA00022822549600001210
Obtaining a consistent variable
Figure GDA00022822549600001211
Setting the value range of the virtual consistency variable according to the actual situation
Figure GDA00022822549600001212
Is as lambda e (lambda)min,λmax)δWhen the virtual consistency variable of the frequency modulation power supply
Figure GDA00022822549600001213
Taking the boundary value lambda when exceeding the rangeminOr λmax(ii) a The threshold value is not exceeded and remains unchanged.
(5-2-3) is prepared from
Figure GDA00022822549600001214
To obtain theoretical power
Figure GDA00022822549600001215
(5-2-4) Pair Power offset vector
Figure GDA00022822549600001216
Performing correction update to obtain virtual power offset, i.e. unconstrained power offset vector
Figure GDA00022822549600001217
(5-2-5) derived from formula (13)
Figure GDA00022822549600001218
Is based on a consistency variable
Figure GDA00022822549600001219
The result obtained, and the power of the last iteration
Figure GDA00022822549600001220
Performing a correction update of2Is a measure of
Figure GDA00022822549600001221
Coefficient of correction speed of (1).
(5-2-6) obtained by reacting the compound of formula (14)
Figure GDA00022822549600001222
Constraint is carried out to obtain a power configuration result of the frequency modulation power supply
Figure GDA00022822549600001223
The constraints are as follows:
Figure GDA00022822549600001224
indicating the power offset range of the ith fm power supply at the kth sampling instant,
Figure GDA00022822549600001225
representing the range of rates of change of the power offset of the ith fm power supply at the kth sampling instant,
Figure GDA00022822549600001226
representing the state of charge range of the ith energy storage at the kth sampling moment,
summarizing the above constraints, one can obtain:
for a traditional electric machine set:
Figure GDA0002282254960000131
for stored energy:
Figure GDA0002282254960000132
according to the constraints of different types of devices, the result obtained in step (5-2-4)
Figure GDA0002282254960000133
Performing constraint to the constraint condition
Figure GDA0002282254960000134
The preferred range is denoted as Ω. Thus, the constraint process is set to: when in use
Figure GDA0002282254960000135
And taking corresponding boundary values when the range omega is exceeded, and keeping the boundary values unchanged when the boundary values are not exceeded.
(5-3) determining whether or not the upper limit of the timer is reached
And judging whether the upper limit of the timer is reached. If the preset value is reached, entering (5-4); and if the preset value is not reached, returning to (5-1).
(5-4) outputting the output instruction of each frequency modulation power supply
And taking the power configuration result of the last iteration as the output instruction of the frequency modulation power supply.
(5-5) updating the energy storage State of Charge
Updating the energy storage state of charge as follows:
Figure GDA0002282254960000136
step 6: configuration for judging whether to finish secondary frequency modulation
If the secondary frequency modulation process is not finished, returning to the step 3, and performing secondary frequency modulation control at the (k + 1) th sampling moment; otherwise, ending the secondary frequency modulation process.
The following describes advantageous effects of the present invention with reference to an embodiment.
Suppose that four frequency modulation power supplies participate in secondary frequency modulation and comprise two traditional units (G1 and G2) and two energy storage units (B1 and B2). Respectively setting the power deviation value range of the frequency modulation power supply as follows: g1: ± 40MW, G2: ± 30MW, B1: ± 30MW, B2: and +/-30 MW. The climbing speed range of the frequency modulation power supply is as follows: g1: . + -. 65MW/h, G2: . + -. 65M W/h, B1: 10000MW/h, B2: and +/-10000 MW/h. The capacity of the stored energy is set as B1: 20MWh, B2: 5 MWh. Given the area error signal ACE, fig. 3(a) is the power offset value of the fm power supply in the secondary fm control, where the stored energy would contribute correspondingly when the conventional motor is not able to accurately track the ACE signal. Fig. 3(b) shows the tracking error of the ACE signal during simulation, which can be found to be approximately zero, illustrating that accurate tracking can be achieved in the process. Fig. 3(c) shows two states of charge of the stored energy, which are seen to decrease during the output phase and increase again during the final charging phase, and are maintained substantially near the optimum state of charge (0.5 in this example).
Fig. 4 is a variation curve of the consistency variable of each frequency modulation power supply with time in the secondary frequency modulation process of the embodiment, and it can be seen that the consistency variable of each frequency modulation power supply is approximately consistent.
While the invention has been shown and described with respect to the preferred embodiments, it will be understood by those skilled in the art that other and further embodiments may be devised which do not depart from the spirit and scope of the present invention as defined by the appended claims.

Claims (8)

1. A distributed secondary frequency modulation control method considering energy storage is characterized in that basic information of a frequency modulation power supply considering energy storage is obtained, a traditional power unit is used as the frequency modulation power supply to establish a disadvantage index function of the traditional power unit in consideration of power offset when participating in secondary frequency modulation, the energy storage is used as the frequency modulation power supply to establish a disadvantage index function of the energy storage in consideration of charge and discharge power offset and charge amount offset when participating in secondary frequency modulation, a regional control error signal of a system is collected and converted into a power signal, a state quantity of the frequency modulation power supply is initialized according to the power signal corresponding to the regional control error signal and the disadvantage index function of the frequency modulation power supply, a consistency variable of the frequency modulation power supply is iteratively updated according to an initial value of the state quantity of the frequency modulation power supply and by taking the minimum disadvantage index of the frequency modulation power supply in a control region as a target until consistency variables, and taking the power offset corresponding to the consistent variables of the adjacent frequency modulation power supplies as the output instruction of the frequency modulation power supplies, wherein the adjacent frequency modulation power supplies are frequency modulation power supplies which are communicated with each other.
2. The distributed secondary frequency modulation control method considering energy storage according to claim 1, wherein when the conventional power unit participates in secondary frequency modulation as a frequency modulation power supply, a disadvantage index function of the conventional power unit is as follows: DIi,k=aiPi,k 2,DIi,kIs a function value, P, of a disadvantage index of the ith traditional power unit at the kth sampling momenti,kIs the power offset of the ith conventional power unit at the kth sampling moment, aiThe method is a factor for measuring the influence of power offset on the disadvantage index of the ith traditional power unit.
3. The method of claim 1, wherein said method further comprises measuring energy storageThe distributed secondary frequency modulation control method is characterized in that when the stored energy is used as a frequency modulation power supply to participate in secondary frequency modulation, the disadvantage index function of the stored energy is as follows:
Figure FDA0002220440030000011
DIi,kthe value of the disadvantage indicator function for the ith energy storage at the kth sampling instant,
Figure FDA0002220440030000012
charging power offset and discharging power offset of the ith energy storage at the kth sampling moment respectively, and SoCi,kThe state of charge at the kth sampling instant for the ith energy storage,
Figure FDA0002220440030000013
optimum state of charge for the ith energy storage, aiTo measure the factor of the ith energy storage effect on the index of disadvantage due to power offset, biThe factor for measuring the influence of the ith energy storage on the disadvantage index due to the charge state deviation is used.
4. The distributed quadric frequency modulation control method according to claim 1, characterized in that the expression for converting the collected area control error signal into a power signal is:
Figure FDA0002220440030000021
wherein, ACE0、ACE1、ACEk、ACEKThe region control error signals of the 0 th sampling time, the 1 st sampling time, the K th sampling time and the K th sampling time respectively, delta f0、Δf1、Δfk、ΔfKRespectively the frequency fluctuation, delta P, of the 0 th sampling time, the 1 st sampling time, the K th sampling time and the K th sampling timetie,0、ΔPtie,1、ΔPtie,k、ΔPtie,KRespectively at the 0 th sampling time, the 1 st sampling time and the k th sampling timeThe power of the tie line at the sample time and the Kth sampling time fluctuates,
Figure FDA0002220440030000022
Figure FDA0002220440030000023
respectively controlling power signals corresponding to the error signals for the 0 th sampling time, the 1 st sampling time, the K th sampling time and the K th sampling timeIIs an integration coefficient, and B is a region frequency response coefficient.
5. The method of claim 1, wherein the initializing the state quantity of the fm power supply according to the power signal corresponding to the local control error signal and the function of the disadvantage indicator of the fm power supply comprises: according to the power signal corresponding to the control error signal of the distribution area of the maximum power offset of the frequency modulation power supply in proportion to the total frequency modulation power of all the frequency modulation power supplies, the power offset of the frequency modulation power supply is obtained:
Figure FDA0002220440030000024
determining a uniformity variable of the frequency modulated power supply by solving a partial derivative of a frequency modulated power supply disadvantage indicator function with respect to a power offset, wherein,
Figure FDA0002220440030000025
for the initial value of the power offset of the ith fm power supply at the kth sampling instant,
Figure FDA0002220440030000026
the maximum power offset of the ith frequency modulation power supply is the proportion of the total frequency modulation power of all the frequency modulation power supplies,
Figure FDA0002220440030000027
Figure FDA0002220440030000028
maximum power offset for the ith fm source, I is the set of fm sources that account for stored energy,
Figure FDA0002220440030000029
and controlling a power signal corresponding to the error signal for the k-th sampling moment area.
6. The distributed secondary frequency modulation control method considering energy storage according to claim 1, wherein the method for iteratively updating the consistency variable of the frequency modulation power supply according to the initial value of the state quantity of the frequency modulation power supply and with the minimum index of the disadvantage of the frequency modulation power supply in the control area as a target comprises the following steps:
correcting consistency variables of the frequency modulation power supply of the previous iteration to obtain virtual consistency variables of the frequency modulation power supply of the current iteration:
Figure FDA00022204400300000210
and then determining the consistency variable of the current iterative frequency modulation power supply under the constraint of the value range of the consistency variable of the frequency modulation power supply:
Figure FDA00022204400300000211
wherein the content of the first and second substances,
Figure FDA00022204400300000212
for the consistency variable of the ith frequency modulated power supply of the j-1 th iteration at the kth sampling instant,
Figure FDA0002220440030000031
for the consistency variable, σ, of the FM source x adjacent to the ith FM source for the j-1 th iteration at the kth sampling instant1For measuring the ith frequency modulation power supply virtual consistency variable of the jth iteration at the kth sampling moment
Figure FDA0002220440030000032
The coefficient of the correction speed is such that,
Figure FDA0002220440030000033
for the consistency variable of the ith frequency-modulated power supply of the jth iteration at the kth sampling instant,
Figure FDA0002220440030000034
the value range of the ith frequency modulation power supply consistency variable of the jth iteration at the kth sampling moment,
Figure FDA0002220440030000035
λmax、λminupper and lower limits of the value of the consistency variable respectively;
determining a theoretical value of the power offset of the current iterative frequency modulation power supply according to the consistency variable of the current iterative frequency modulation power supply:
Figure FDA0002220440030000036
correcting the power offset of the frequency modulation power supply of the previous iteration to obtain the virtual power offset of the frequency modulation power supply of the current iteration:
Figure FDA0002220440030000037
and then determining the power offset of the current iterative frequency modulation power supply under the constraint of the value range of the power offset of the frequency modulation power supply:
Figure FDA0002220440030000038
Figure FDA0002220440030000039
when the ith frequency modulation power supply is a traditional motor set, the following steps are carried out:
Figure FDA00022204400300000310
Figure FDA00022204400300000311
when the ith frequency modulation power supply stores energy:
Figure FDA00022204400300000312
wherein the content of the first and second substances,
Figure FDA00022204400300000313
theoretical value of power offset for the ith frequency-modulated power supply for the jth iteration at the kth sampling instant αiIs the coefficient of the quadratic term of the power offset in the ith energy storage disadvantage index function,
Figure FDA00022204400300000314
is the coefficient of the first term of the power offset in the ith energy storage disadvantage index function of the jth iteration at the kth sampling time, aiTo measure the factor of the ith conventional motor affecting the disadvantage index due to the power offset, B, G is the energy storage set and the conventional motor set respectively,
Figure FDA00022204400300000315
for the virtual power offset of the ith fm source for the jth iteration at the kth sampling instant,
Figure FDA00022204400300000316
power offset, σ, of the ith FM source for the j-1 th iteration at the kth sampling instant2To measure the coefficient of the virtual power offset correction speed of the ith fm source for the jth iteration at the kth sampling instant,
Figure FDA0002220440030000041
for the power offset of the ith fm source at the jth sampling instant for the jth iteration,
Figure FDA0002220440030000042
for the value range of the ith fm source power offset of the jth iteration at the kth sampling time,
Figure FDA0002220440030000043
respectively the upper and lower limits of the power offset of the ith frequency modulation power supply,
Figure FDA0002220440030000044
Figure FDA0002220440030000045
respectively the upper and lower limits of the power offset change rate of the ith frequency modulation power supply, delta t is the interval of adjacent sampling moments,
Figure FDA0002220440030000046
for the power offset of the ith frequency modulated power supply at the jth iteration at the kth-1 sample time,
Figure FDA0002220440030000047
respectively the upper limit and the lower limit of the charge state of the ith frequency modulation power supply,
Figure FDA0002220440030000048
the state of charge offset of the ith frequency-modulated power supply for the jth iteration at the kth-1 sampling time.
7. The method as claimed in claim 6, wherein the criterion that the consistent variables of adjacent frequency modulation power supplies are consistent is as follows:
Figure FDA0002220440030000049
ζ is a set threshold value of the consistency variable difference value of the frequency modulation power supply and the adjacent power supply.
8. The method as claimed in claim 1, wherein the step of obtaining the basic information of the fm power supply with energy stored therein comprises: the energy storage system comprises an upper limit and a lower limit of the power offset of the traditional power unit, an upper limit and a lower limit of the climbing speed of the traditional power unit, a power reference value of the traditional power unit, an upper limit and a lower limit of the energy storage power offset, an upper limit and a lower limit of the energy storage climbing speed, a power reference value of the energy storage, the charging and discharging efficiency of the energy storage, the optimal state of charge of the energy storage and an upper limit and a lower limit of the state of.
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