CN113452038B - Primary frequency modulation hybrid control method for improving market adaptability of air conditioner load aggregator - Google Patents
Primary frequency modulation hybrid control method for improving market adaptability of air conditioner load aggregator Download PDFInfo
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Abstract
The invention relates to a primary frequency modulation hybrid control method for improving market adaptability of air conditioner load aggregators, which is characterized by comprising an ACLS management and control mode facing PR market transaction, determination of ACLS response capacity Pcap and load diversity index FD and the content of the hybrid control method of the ACLS, and can ensure the comfort level of a user to the maximum extent on the premise of ensuring the diversity of an ACLS recovery state and avoiding the aggregation power peak after responding PFR, and avoid frequent adjustment of the set temperature of the same air conditioner in the diversity recovery stage; the load diversity damage degree in the process of responding to the PFR by the ACLs can be effectively reduced, the electric power peak of the aggregated power after response is weakened, and the subsequent load diversity recovery is facilitated; the frequency deviation of the system is effectively reduced, and economic loss caused by overlarge response deviation and serious deviation of the aggregation power fluctuation from the current reported baseline load in the process that an aggregator participates in the frequency modulation auxiliary market is avoided.
Description
Technical Field
The invention relates to the technical field of power grid frequency modulation, in particular to a primary frequency modulation hybrid control method for improving market adaptability of air conditioner load aggregators.
Background
The randomness and the fluctuation of the output of the new energy aggravate the power mismatching degree of two sides of the source load, and seriously threaten the frequency safety of the system. Therefore, in order to deal with the problem of shortage of the chirp resource in the high-permeability renewable energy power system, research on participation of the demand-side chirp resource in system chirp control is receiving attention. The aggregate capacity of the cluster air-conditioning load is considerable, compared with the traditional generator set, the frequency response is quicker, the potential of frequency modulation is huge, and a great deal of research is carried out on the cluster air-conditioning load by the technical personnel in the field. The invention constructs a layered control architecture consisting of an aggregator negotiation layer, an ACL control layer and a local control layer, provides a hybrid control method combining switch control and set temperature control, can improve the adaptability of the ACL aggregator participating in the frequency modulation auxiliary service market and the flexibility of the ACL aggregator controlling aggregation power, and has important significance. So far, no literature report and practical application similar to the technology of the invention are found.
Disclosure of Invention
The purpose of the invention is: the hybrid control method is scientific and reasonable, can effectively improve the frequency fluctuation of the power grid, ensures the safe and stable operation of the power grid, is a layered control framework consisting of a convergence quotient layer, an ACLS control layer and a local control layer, and combines switch control and set temperature control.
The technical scheme adopted for achieving the purpose is that the primary frequency modulation hybrid control method for improving the market adaptability of the air conditioner load aggregator is characterized by comprising the following contents:
1) ACLs (explicit control lines) management and control mode for PR (conditional response) market transaction
The hierarchical control architecture of the two groups of homogeneous polymerization ACLs is divided into three layers, namely a polymerization quotient cooperative control layer, an ACL control layer and a local controller, and the polymerization quotient cooperative control layer determines the working states of the two groups of ACLs, namely the RFC state and the LDR state, by receiving the feasible combined working state uploaded by the ACL layer; at a cluster air-conditioning control layer, each group of ACLs determines the working state of the ACLs through a state instruction issued by an aggregator: in the RFC state, the ACLs issue a trigger frequency to the local controller, and allow the local controller to autonomously respond according to the measurement frequency and change the on-off state of the air conditioner; in the LDR state, the ACLs issue a set temperature to the local controller, and issue a locking signal to forbid the local controller to change the on-off state of the air conditioner according to the measurement frequency; 2) ACLs response capacity P cap And load diversity index F D Is determined
(1) ACLs aggregate power versus virtual droop curve
The calculation expressions for the change in the indoor temperature of the air conditioning load are expressed by expressions (1) and (2),
in the formula:andthe indoor temperature and the external environment temperature at the moment t +1 respectively; delta is the simulation time step length; r is equivalent thermal resistance with the unit of ℃/kW; c represents equivalent heat capacity, and the unit is kWh/DEG C; p N The rated refrigerating power of the air conditioner is represented, and the unit is kW; s t Representing the on-off state of the air conditioner, which is a variable from 0 to 1; s t =1 indicating the air conditioner is on, s t =0 indicates that the air conditioner is in an off state;
obtaining the polymerization power P of the ACLs in each time period through 24h outdoor temperature prediction and ETP model estimation in the next day acls :
In the formula: n is the number of air conditioners; eta i The energy efficiency ratio of the ith air conditioner is obtained;the on-off state of the ith air conditioner at the time t;
from the aggregate power of a single set of ACLs, the 24 hour average power P is calculated base As a baseline load, the FM spare capacity for up and down adjustments per hour is calculatedAndthen a single set of ACLs adjusted up and down virtual droop coefficientsAndexpressed as:
in the formula: +/-Delta f re A primary frequency modulation range specified for the system; +/-Delta f db For the primary frequency modulation dead zone, if the frequency deviation Δ f of the corresponding system is corresponded, the power Δ P that should be adjusted by the single group of ACLs DR Expressed as:
(2) ACLS response Capacity analysis
Because the actual droop curve of the ACLs is in a step shape, the aggregation power cannot be continuously adjusted, more air conditioners can enter a locking state by switching control in the actual response process, the actual frequency modulation spare capacity of the ACLs is reduced, and the equipmentAndfor real-time up-and down-modulation reserve capacity of ACLs, aggregator reported response capacity P in the modulation phase cap Should satisfy formula (7):
in the formula (I), the compound is shown in the specification,andare obtained from equations (8) and (9), i.e.
In the formula:andrespectively representing the air conditioner set in an open non-locking state and a close non-locking state;
(3) index of diversity of ACLs
The load diversity of the ACLs is objectively described by using the difference of the number of the air conditioners in different temperature ranges, the temperature dead zone of the air conditioner is divided into M temperature ranges, and the air conditioner in each temperature range belongs to an opening state omega on And off state omega off Different sets can be divided into 2M intervals, the number distribution of air conditioners in each temperature interval under the level of the predicted ACLs aggregation power in the day ahead is taken as a reference state, and an index F reflecting the ACLs group load diversity is defined D It is specifically expressed as:
in the formula: f D To characterize the overall diversity index of ACLs,l i the actual number of air conditioners in the ith temperature interval; l. the i ' is the number of air conditioners in the ith temperature interval in the reference state;
3) Mixed control method of ACLs
Hybrid control method declares response capacity P by comparison cap And real-time FM standby P rt And a load diversity index F D To convert a single set of ACLsRFC working state and LDR working state.
(1) Improved switch control method
Considering the influence of ACLs switch control on the diversity recovery process, a temperature priority sequence method is improved, the absolute value of the deviation between the set temperature and the indoor temperature of the air conditioner is taken as the priority index of the response frequency modulation of the air conditioner, the air conditioners to be responded are sorted, and the priority indexes are respectively expressed as:
in the formula:andare respectively a setAndpriority index of middle air conditioner, setAndthe relationship between the medium priority index value and the trigger frequency value is respectively expressed as
In the formula: r and K each represent a setAndthe number of the medium air conditioners;setting a trigger frequency value of the ith air conditioner;
after the air conditioner sets the trigger frequency, each local controller autonomously responds to the frequency change by comparing the measurement frequency at the moment t with the trigger frequency of the air conditioner and sends a switching signal to an air conditioner load;
(2) set temperature control strategy for diversity recovery
In the diversity recovery stage, in order to avoid power spikes caused by on-off control, the diversity of the ACLs is recovered by changing the temperature set value of the air conditioner;
is provided withAndair conditioners which are in an on/off state and have indoor temperatures within a temperature range numbered q are respectively set;andthe numbers of air conditioners in the respective temperature ranges in the reference state are respectively, the numbers of air conditioners in the different states in the temperature range q in the roll-out and roll-in are determined by the following equations (15) to (18):
in the formula:andrespectively representing the number of the temperature intervals q to be transferred out of the air conditioner and the number of the temperature intervals q to be transferred into the air conditioner in the starting state;andrespectively representing the number of the temperature intervals q to be transferred out of the air conditioner and the number of the temperature intervals q to be transferred into the air conditioner in a closed state; n (-) represents the number of air conditioners in the corresponding set; in the diversity recovery process, only air conditioners in the same state and different temperature intervals are transferred, and the diversity recovery can be simultaneously carried out on the air conditioner in an open/Guan Fei locking state, and the principles are basically the same;
(3) when the diversity of the air conditioner load is recovered in the closed state, the air conditioner set temperature adjusting step is as follows:
(a) Set of air conditioners with readjusted set temperatureIs an empty set; according to the current temperature information, comparing the ACLs to-be-recovered state with the air conditioner in each temperature interval of the reference stateJudging whether the expressions (19) and (20) are simultaneously satisfied or not by quantity difference, if so, executing the step (b), otherwise, turning to the step (e);
(b) Determining the number q of the temperature interval to be switched to off The value of which is determined by the formula (21), i.e.
(c) Calculating the pseudo set temperature of the air conditioner to be taken out according to the formula (36) and the formula (37)And calculate
In the formula:all the air conditioner sets to be turned out, of which the set temperature is not adjusted in the closed state, are represented;
(d) To be provided withAs an index, to the setThe air conditioners in the air conditioner are sorted from small to large; if it isIs greater thanBefore selectionAir conditioner of tableAnd form a collectionTurning to (b); if it isIs less thanBefore selectionAir conditioner of tableForming a collection
(e) Calculating F D If the requirement is met, terminating the diversity recovery process, otherwise executing the step (f);
(f) Judging whether the state information such as temperature is updated or not, if so, turning to the step (a);
the diversity recovery procedure of the air conditioner in the on state is the same as that in the off state, and the difference is that: the number of the temperature interval is changed from 1-10 to 11-20, but the recovery is preferentially carried out from the temperature interval with small number in the recovery process; the corresponding sets are all sets in an open state.
The invention relates to a primary frequency modulation hybrid control method for improving market adaptability of air-conditioning load aggregators, which adopts an ACLs management and control mode facing PR market transaction, the determination of ACLs response capacity Pcap and load diversity index FD and the hybrid control method of ACLs, and the brought effects are embodied in that:
1. the switch control method based on the improved temperature priority sequence method can effectively reduce the load diversity damage degree in the process of responding PFR by the ACLs, weaken the electric power peak of the polymerization power after response and is beneficial to the subsequent load diversity recovery;
2. the absolute value of the deviation between the air conditioner pseudo-set temperature and the reference state set temperature is used as a sequencing index, so that the comfort of a user can be ensured to the maximum extent on the premise of ensuring the diversity of the ACLs recovery state and avoiding the power spike of the polymerization power after the response of the PFR, and the frequent adjustment of the same air conditioner set temperature in the diversity recovery stage is avoided;
3. the hybrid control method can be integrated into the existing layered control structure, effectively reduces the frequency deviation of the system, and avoids economic loss caused by overlarge response deviation and serious deviation of polymerization power fluctuation from the day-ahead reported baseline load in the process that a aggregator participates in the frequency modulation auxiliary market.
Drawings
FIG. 1 is a schematic diagram of an ACLs aggregator layered control architecture;
FIG. 2 is a graph of ACLs baseline load;
FIG. 3 is a schematic view of the virtual sag curve of the ACLs;
FIG. 4 is a schematic diagram of air conditioning load packet sequencing;
fig. 5 is a schematic diagram of spatial distribution of ACLs initial states;
FIG. 6 is a schematic diagram of the diversity change and recovery of ACLs;
FIG. 7 is a diagram of a frequency control model considering ACLs aggregators;
fig. 8 is a time ratio diagram for different response capacities.
Detailed Description
The invention is further illustrated by the following figures and examples.
The invention relates to a primary frequency modulation hybrid control method for improving market adaptability of air-conditioning load aggregators, which comprises an ACLs management control mode facing PR market transaction, determination of ACLs response capacity Pcap and load diversity index FD and a hybrid control method of ACLs, and specifically comprises the following steps:
1) ACLs management and control mode facing PR market trading
In order to improve flexibility of the aggregator in controlling the ACLs, a hierarchical control architecture of the aggregator cooperating with two homogeneous aggregation ACLs is constructed as shown in fig. 1, and the hierarchical control architecture is divided into three layers, namely an aggregator cooperating control layer, an ACLs control layer and a local controller. In the process of participating in frequency modulation regulation, the aggregator cooperative control layer determines the working states of two groups of ACLs, namely the RFC state and the LDR state, according to the logical relationship in the table 1 by receiving the feasible combined working states uploaded by the ACLs layer; at a cluster air-conditioning control layer, each group of ACLs determines the working state of the ACLs through a state instruction issued by an aggregator: in the RFC state, the ACLs issue trigger frequency to the local controller, and allow the local controller to autonomously respond according to the measured frequency and change the on-off state of the air conditioner; in the LDR state, the ACLs issue a set temperature to the local controller, and issue a locking signal to forbid the local controller to change the on-off state of the air conditioner according to the measurement frequency;
TABLE 1 criteria for adjusting the validation of ACLs operating conditions at the FM stage by the aggregator coordination layer
2) ACLs response Capacity P cap And load diversity index F D Is determined
(1) ACLs aggregate power versus virtual droop curve
The calculation expressions for the change in the indoor temperature of the air conditioning load are expressed by expressions (1) and (2),
in the formula:andthe indoor temperature and the external environment temperature at the moment t +1 respectively; delta is the simulation time step; r is equivalent thermal resistance, and the unit is ℃/kW; c represents equivalent heat capacity, and the unit is kWh/DEG C; p N The rated refrigerating power of the air conditioner is represented, and the unit is kW; s t Representing the on-off state of the air conditioner, which is a variable of 0-1. s t =1 indicating the air conditioner is on, s t =0 represents that the air conditioner is in an off state;
obtaining the polymerization power P of the ACLs in each time period through 24h outdoor temperature prediction and ETP model estimation in the next day acls :
In the formula: n is the number of air conditioners; eta i The energy efficiency ratio of the ith air conditioner is obtained;the on-off state of the ith air conditioner at the time t;
from the aggregate power of a single set of ACLs, the 24 hour average power P is calculated base As the baseline load, the baseline load and related parameters are shown in fig. 2. Further obtain the frequency modulation reserve capacity of the up and down adjustment per hourAndthen a single set of ACLs is adjusted up and downCoefficient of sag simulationAndexpressed as:
in the formula: +/-Delta f re A primary frequency modulation range specified for the system; +/-Delta f db Is a primary frequency modulation dead zone. If the frequency deviation Δ f of the corresponding system is satisfied, the power Δ P that a single set of ACLs should adjust DR Expressed as:
(2) ACLS response Capacity analysis
As shown in FIG. 3, since the polymerization power of the ACLs cannot be continuously adjusted, the actual droop curve is stepped as shown by the red curve in the figure, more air conditioners are brought into a locked state by the on-off control in the actual response process, the actual frequency modulation spare capacity of the ACLs is reduced, and the deviceAndfor real-time up-and down-modulation reserve capacity of ACLs, aggregator reported response capacity P in the modulation phase cap Should satisfy formula (7):
in the formula (I), the compound is shown in the specification,andare obtained from equations (8) and (9), i.e.
In the formula:andrespectively representing the air conditioner set in an open non-locking state and a closed non-locking state;
(3) index of diversity of ACLs
The load diversity of the ACLs is objectively described by using the difference of the number of the air conditioners in different temperature ranges, the temperature dead zone of the air conditioner is divided into M temperature ranges, and the air conditioner in each temperature range belongs to an opening state omega on And off state omega off Different sets can be divided into 2M intervals. Defining index F reflecting ACLS group load diversity by using number distribution of air conditioners in each temperature region under the level of predicted ACLS polymerization power in the day as reference state D It is specifically expressed as:
in the formula: f D To characterize the overall diversity index of ACLs,l i the actual number of air conditioners in the ith temperature interval; l' i The number of air conditioners in the ith temperature interval in the reference state;
3) Hybrid control method for ACLs
Hybrid control method declares response capacity P by comparison cap And real-time FM standby P rt And a load diversity index F D To convert the RFC working state and the LDR working state of a single set of ACLs.
(1) Improved switch control method
Considering the influence of the ACLs switch control on the diversity recovery process, the temperature priority sequence method is improved, the absolute value of the deviation between the set temperature and the indoor temperature of the air conditioner is taken as the priority index of the response frequency modulation of the air conditioner, the air conditioners to be responded are sorted, and the priority indexes are respectively expressed as:
in the formula:andare respectively a setAndpriority index of medium air conditioner, as shown in FIG. 4, in setAndthe air conditioners in the system are respectively sorted according to the sequence of the indexes from small to large so as to determine the priority sequence and determine the trigger frequency of each air conditioner. Collection ofAndthe relationship between the medium priority index value and the trigger frequency value is respectively expressed as
In the formula: r and K each represent a setAndthe number of the air conditioners;setting a trigger frequency value of the ith air conditioner;
after the air conditioner sets the trigger frequency, each local controller autonomously responds to the frequency change by comparing the measurement frequency at the moment t with the trigger frequency of the air conditioner and sends a switching signal to an air conditioner load;
(2) set temperature control strategy for diversity recovery
In the diversity recovery stage, to avoid power spikes caused by the switching control, the diversity of ACLs is recovered by changing the temperature setting value of the air conditioner. Taking the case where M =10 is set as an example, when the temperature dead zone of the air conditioning load is divided into 10 temperature zones, there are 20 temperature zones in the on/off state, and the temperature zones are numbered in the room temperature changing direction, as shown in fig. 5. And with the number of air conditioners in each state in each temperature interval as a characteristic index of the reference state, the state space distribution of ACLs is as shown in fig. 6 after the process is continued for a period of time through the on-off control response system PFR.
After the ACLs respond to the PFR through the on-off control, the temperature range in which the number of air conditioners is largely changed is concentrated around the set temperature, as shown in fig. 7. In order to recover the diversity of the ACLs, the number of the air conditioners in the corresponding temperature interval is adjusted, and the diversity index F is realized by changing the set temperature of the air conditioners in the corresponding temperature interval D And is kept consistent with the reference state.
Is provided withAndthe air conditioners are respectively in on/off states and have indoor temperatures in a temperature interval with the number of q;andthe numbers of the air conditioners in the temperature intervals in the reference state are respectively, and the numbers of the air conditioners in the transferring-out and transferring-in temperature intervals q in different states are determined by the following formula:
in the formula:andrespectively representing the number of the temperature intervals q to be transferred out of the air conditioner and the number of the temperature intervals q to be transferred into the air conditioner in the starting state;andrespectively representing the number of the temperature intervals q to be transferred out of the air conditioner and the number of the temperature intervals q to be transferred into the air conditioner in a closed state; n (-) represents the number of air conditioners of the corresponding set; in the diversity recovery process, only the air conditioners in the same state and different temperature intervals are transferred, and the diversity recovery can be simultaneously carried out on the air conditioner in the on/Guan Fei locking state, and the principles are basically the same.
(3) When the diversity of the air conditioner load is recovered in the closed state, the air conditioner set temperature adjusting step is as follows:
(a) Set of air conditioners with readjusted set temperatureIs an empty set; and (3) comparing the difference between the number of the air conditioners in each temperature interval of the ACLs to-be-recovered state and the reference state according to the current temperature information, judging whether the equations (19) and (20) are simultaneously satisfied, if so, executing the step (a), otherwise, turning to the step (e).
(b) Determining the number q of the temperature interval to be switched to off The value of which can be determined by the following formula, i.e.
(c) Calculating the pseudo set temperature of the air conditioner to be taken out according to the formulas (36) and (37)And calculate
In the formula:and all the air conditioner sets to be turned out, of which the set temperature is not adjusted in the closed state, are represented.
(d) To be provided withAs an index, to the collectionThe air conditioners in the middle are sorted from small to large; if it isIs greater thanBefore selectionAir conditioner of tableAnd form a collectionTurning to (b); if it isIs less thanBefore selectionAir conditioner of tableForm a collection
(e) Calculating F D And (f) whether the requirements are met, if so, terminating the diversity recovery process, otherwise, executing the step (f).
(f) Judging whether the state information such as temperature is updated or not, if so, turning to the step (a).
The diversity recovery steps of the air conditioner in the on state are the same as those in the off state, and the difference is that: the number of the temperature interval is changed from 1-10 to 11-20, but the recovery is preferentially carried out from the temperature interval with small number in the recovery process; the corresponding sets are all sets in an open state.
The calculation conditions of the specific examples are illustrated below:
(1) Assuming that the aggregator manages and controls 2000 homogeneous air conditioning loads and the total rated power P all And 11.2MW. In a layered management and control mode, managing the blankThe load regulation is divided into two groups of ACLs1 and ACLs2 for cooperative control, each group of ACLs comprises 1000 air conditioners, wherein the rated refrigeration power is 330 air conditioners with 13kW and 15kW respectively, and 340 air conditioners with 14kW respectively.
(2) Assuming good diversity of ACLs at the initial time, the number of air conditioners in each temperature interval is uniformly distributed, and the temperature set value T set The distribution is uniform in the temperature of 19-23 ℃, the simulation parameters of the ACLs are shown in the table 2, and R, C are uniformly distributed in the value range. The aggregators control the ACLs through constructing a virtual droop curve, and the frequency response interval +/-delta f re And. + -. Δ f db Respectively +/-0.4 Hz and +/-0.02 Hz.
A simulation model as shown in fig. 7 was built in Matlab/Simulink, in which a generator set is equivalent to one generator. The specific simulation parameters are shown in Table 2, and the time constant of the speed regulator is T cg Sag coefficient of K G The time constant of the turbine being T ct . The inertia time constant of the generator set and the load is equivalent to the inertia time constant of the system.
TABLE 2 simulation parameters of electric power system
Assuming that the total rated power of ACLs is 0.2p.u. of the total load of the system, the response capacity is 2MW when the aggregator is still at 13-14. Under mixing control, of the polymerThe droop coefficient of the polymer quotient under the traditional switch control is 2 times, and the system active power deviation is shared between the generator set and the polymer quotient in an equal proportion mode.
The system frequency changes due to load fluctuations modeled by white gaussian noise with a mean of 0 and a variance of 0.001. After the ACLs participate in frequency modulation, the frequency deviation fluctuation range of the system is reduced from +/-0.1 Hz to +/-0.05 Hz, and the frequency deviation of the system can be effectively reduced. However, after the locking time of the air conditioner is considered, under the control of a traditional switch, due to the rapid change of the system frequency, the continuous response of an aggregator enables most of the air conditioners to be in a locking state, the spare capacity is exhausted rapidly, the aggregation power of the ACLs cannot be adjusted, the system has larger frequency deviation, and the maximum frequency deviation reaches-0.15 Hz. Under the hybrid control, the reserve capacity of a aggregator can be effectively maintained through the cooperative hybrid control of the two groups of ACLs, the aggregation power of the ACLs is adjusted along with the fluctuation of the system load, the system frequency deviation is within +/-0.05 Hz, and the frequency modulation effect is good.
If the up-regulation or down-regulation real-time spare capacity of the aggregator is lower than 10% of the reported response capacity of the aggregator in the period under the condition of frequency modulation, the aggregator is considered not to meet the requirement of a market operator and needs to face punishment. The method and the system represent the punishment of the aggregator according to the ratio of the time that the aggregator can maintain enough spare capacity in the response period to the total response time, and provide basis for the aggregator to participate in the reporting of the day-ahead response capacity of the frequency modulation auxiliary service market. The average power of the cluster air-conditioner load is about 5MW when the cluster air-conditioner load is between 13 and 14, and the time occupied by the real-time backup meeting the requirement of the response capacity is shown in fig. 8 when the aggregator reports the response capacity at different time intervals, as can be seen from fig. 8, the real-time backup meeting the requirement of the aggregator under the two strategies gradually decreases with the increase of the reported response capacity, and the penalty of the aggregator increases. However, the time ratio of the polymer under the mixed control is much higher than that of the traditional switch control, the ratio can reach 96% when the response capacity is 1MW, and the ratio is 82.6% when the response capacity is 2MW, and the ratio is only 38.9% when the response capacity is 1MW and is only 21.4% when the response capacity is 2MW under the traditional switch control. It can be concluded that the spare capacity of the aggregator in response to frequency modulation can be effectively recovered through the cooperative control of the two groups of ACLs.
The above examples are only for clearly illustrating the technical solutions of the present invention, and are not intended to limit the embodiments of the present invention. Any other changes or modifications of the equivalent technical features without changing the basic idea and the essence of the present invention shall fall within the protection scope of the claims of the present invention.
Claims (1)
1. A primary frequency modulation hybrid control method for improving market adaptability of air conditioner load aggregators is characterized by comprising the following steps:
1) ACLs management and control mode facing PR market trading
The hierarchical control architecture of the two groups of homogeneous aggregation ACLs under the cooperation of the aggregator is divided into three layers, namely an aggregator cooperative control layer, an ACLs control layer and a local controller, wherein the aggregator cooperative control layer determines the working states of the two groups of ACLs, namely the RFC state and the LDR state, by receiving the feasible combined working state uploaded by the ACLs layer; at a cluster air-conditioning control layer, each group of ACLs determines the working state of the ACLs through a state instruction issued by an aggregator: in the RFC state, the ACLs issue trigger frequency to the local controller, and allow the local controller to autonomously respond according to the measured frequency and change the on-off state of the air conditioner; in the LDR state, the ACLs issue a set temperature to the local controller, and issue a locking signal to forbid the local controller to change the on-off state of the air conditioner according to the measurement frequency;
2) ACLs response Capacity P cap And load diversity index F D Is determined
(1) ACLs aggregate power versus virtual droop curve
The calculation expressions for the change in the indoor temperature of the air conditioning load are expressed by expressions (1) and (2),
in the formula:andthe indoor temperature and the external environment temperature at the moment t +1 respectively; delta is the simulation time step length; r is the equivalent thermal resistance, and R is the equivalent thermal resistance,the unit is ℃/kW; c represents equivalent heat capacity, and the unit is kWh/DEG C; p N The rated refrigerating power of the air conditioner is represented, and the unit is kW; s t Representing the on-off state of the air conditioner, which is a variable of 0-1; s t =1 denotes that the air conditioner is in on state, s t =0 represents that the air conditioner is in an off state;
obtaining the polymerization power of the ACLs in each time period through 24h outdoor temperature prediction and ETP model estimation in the next day
In the formula: n is the number of air conditioners; eta i The energy efficiency ratio of the ith air conditioner is obtained;the on-off state of the ith air conditioner at the time t;
from the aggregate power of a single set of ACLs, the 24 hour average power P is calculated base As a baseline load, the FM spare capacity for up and down adjustments per hour is calculatedAndthen a single set of ACLs adjusted up and down virtual droop coefficientsAndexpressed as:
in the formula: +/-Delta f re A primary frequency modulation range specified for the system; +/-Delta f db For the primary frequency modulation dead zone, if the frequency deviation delta f of the corresponding system is corresponded, the power delta P which should be adjusted by a single group of ACLs DR Expressed as:
(2) ACLS response Capacity analysis
Because the actual droop curve of the ACLs is in a step shape, the aggregated power of the ACLs cannot be continuously adjusted, more air conditioners can enter a locking state through switch control in the actual response process, the actual frequency modulation spare capacity of the ACLs is reduced, and the equipmentAndfor real-time up-and down-modulation reserve capacity of ACLs, aggregator reported response capacity P in the modulation phase cap Should satisfy formula (7):
in the formula (I), the compound is shown in the specification,andare obtained from equations (8) and (9), i.e.
In the formula:andrespectively representing the air conditioner set in an open non-locking state and a close non-locking state;
(3) ACLs diversity index
The load diversity of the ACLs is objectively described by using the difference of the number of the air conditioners in different temperature ranges, the temperature dead zone of the air conditioner is divided into M temperature ranges, and the air conditioner in each temperature range belongs to an opening state omega on And off state omega off Different sets can be divided into 2M intervals, the number distribution of air conditioners in each temperature interval under the level of the predicted ACLs aggregation power in the day ahead is taken as a reference state, and an index F reflecting the ACLs group load diversity is defined D It is specifically expressed as:
in the formula: f D To characterize the overall diversity index of ACLs,l i the actual number of air conditioners in the ith temperature interval; l' i The number of air conditioners in the ith temperature interval in the reference state;
3) Hybrid control method for ACLs
Hybrid control method declares response capacity P by comparison cap And real-time FM standby P rt And a load diversity index F D Converting the RFC working state and the LDR working state of the single group of ACLs;
(1) improved switch control method
Considering the influence of the ACLs switch control on the diversity recovery process, the temperature priority sequence method is improved, the absolute value of the deviation between the set temperature and the indoor temperature of the air conditioner is taken as the priority index of the response frequency modulation of the air conditioner, the air conditioners to be responded are sorted, and the priority indexes are respectively expressed as:
in the formula:andare respectively a setAndpriority index of middle air conditioner, setAndmedium priority index value and trigger frequencyThe value relationships are respectively expressed as
In the formula: r and K each represent a setAndthe number of the air conditioners;setting a trigger frequency value of the ith air conditioner;
after the air conditioner sets the trigger frequency, each local controller autonomously responds to the frequency change by comparing the measurement frequency at the moment t with the trigger frequency of the air conditioner and sends a switching signal to an air conditioner load;
(2) set temperature control strategy for diversity recovery
In the diversity recovery stage, in order to avoid power spikes caused by switch control, the diversity of the ACLs is recovered by changing the temperature set value of the air conditioner;
is provided withAndthe air conditioners are respectively in on/off states and have indoor temperatures in a temperature interval with the number of q;andthe numbers of air conditioners in the respective temperature ranges in the reference state are respectively, the numbers of air conditioners in the different states in the temperature range q in the roll-out and roll-in are determined by the following equations (15) to (18):
in the formula:andrespectively representing the number of the temperature intervals q to be transferred out of the air conditioner and the number of the temperature intervals q to be transferred into the air conditioner in the starting state;andrespectively representing the number of air conditioners to be switched out and switched into the temperature interval q in a closed state; n (-) represents the number of air conditioners of the corresponding set; in the process of recovering diversity, only the air conditioners in the same state and different temperature intervals are transferredThe air conditioner in the on/Guan Fei locking state can simultaneously recover the diversity, and the principles are basically the same;
(3) when the diversity of the air conditioner load is recovered in the closed state, the air conditioner set temperature adjusting step is as follows:
(a) Set of air conditioners with readjusted set temperatureIs an empty set; comparing the difference of the air conditioner quantity of each temperature interval between the ACLs to-be-recovered state and the reference state according to the current temperature information, judging whether the equations (19) and (20) are simultaneously satisfied, if so, executing the step (b), otherwise, turning to the step (e);
(b) Determining the number q of the temperature interval to be switched to off The value of which is determined by the formula (21), i.e.
(c) Calculating the pseudo set temperature of the air conditioner to be taken out according to the formula (36) and the formula (37)And calculate
In the formula:all the air conditioner sets to be turned out, of which the set temperature is not adjusted in the closed state, are represented;
(d) To be provided withAs an index, to the setThe air conditioners in the middle are sorted from small to large; if it isIs greater thanBefore choosingAir conditioner of tableAnd form a collectionTurning to (b); if it isIs less thanBefore selectionAir conditioner of tableForming a collection
(e) Calculating F D If the requirement is met, terminating the diversity recovery process, otherwise executing the step (f);
(f) Judging whether the temperature state information is updated, if so, turning to the step (a);
the diversity recovery procedure of the air conditioner in the on state is the same as that in the off state, and the difference is that: the number of the temperature interval is changed from 1-10 to 11-20, but the recovery is preferentially carried out from the temperature interval with small number in the recovery process; the corresponding sets are all sets in an open state.
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