CN114186393A - Variable frequency air conditioner cluster response capability assessment method and system - Google Patents

Variable frequency air conditioner cluster response capability assessment method and system Download PDF

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CN114186393A
CN114186393A CN202111342744.8A CN202111342744A CN114186393A CN 114186393 A CN114186393 A CN 114186393A CN 202111342744 A CN202111342744 A CN 202111342744A CN 114186393 A CN114186393 A CN 114186393A
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temperature
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王朝亮
李磊
刘炜
陈吉奂
肖涛
高赐威
陈涛
陈宋宋
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State Grid Zhejiang Electric Power Co Ltd
Marketing Service Center of State Grid Zhejiang Electric Power Co Ltd
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Southeast University
State Grid Zhejiang Electric Power Co Ltd
China Electric Power Research Institute Co Ltd CEPRI
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Abstract

The invention discloses a method and a system for evaluating response capability of a variable frequency air conditioner cluster. The evaluation method of the present invention includes: step S1: determining the load scale of the variable frequency air conditioner participating in demand response, selecting a part of variable frequency air conditioners as load samples, and then estimating thermodynamic parameters of air conditioner rooms and characteristic parameters of the air conditioners; step S2: calculating the aggregation power of the variable-frequency air conditioner cluster in the load sample; step S3: on the basis of considering the comfort level of the user, taking the electricity price in the ordinary time period in the time-of-use electricity prices as the basic electricity price to obtain the response intention of the user in each time period, and obtaining the adjustable range of the indoor temperature of the user in each time period based on the response intention; step S4: and calculating the response capability of the variable-frequency air conditioner cluster at each time period according to the aggregation power of the variable-frequency air conditioner cluster and the adjustable range of the indoor temperature of the user. The method and the system evaluate the response capability of the variable frequency air conditioner cluster based on the aggregated power of the variable frequency air conditioner cluster and the user response intention, and provide a basis for the load regulation and control of the residential air conditioners participating in the power grid.

Description

Variable frequency air conditioner cluster response capability assessment method and system
Technical Field
The invention belongs to the field of power system demand response capability evaluation, and relates to a variable frequency air conditioner cluster response capability evaluation method and system considering user intention.
Background
With the development of economy and the improvement of the living standard of people, the air conditioning load accounts for more and more power load. Taking the coastal economically developed area of China as an example, the percentage of the air conditioning load exceeds or even is 50 percent. The air-conditioning load has strong controllability and great scheduling potential, is an important demand response resource in the power system, and generally participates in the scheduling of the power grid after aggregators aggregate and evaluate the response capability of the dispersed air-conditioning load.
Air conditioners can be classified into a fixed-frequency air conditioner and a variable-frequency air conditioner according to the type of the air conditioner. When the aggregation and response capability of the fixed-frequency air conditioner are evaluated, firstly, a single air conditioner mathematical model with duty ratio as a control variable is established; then, establishing an air conditioner cluster aggregation power model based on methods such as parameter identification, Monte Carlo simulation, Fockplanck's theorem and Markov chain; and finally, after factors such as the thermal comfort degree of the user are considered, a fixed-frequency air conditioner response potential evaluation model is established, so that the response capability of the fixed-frequency air conditioner is obtained. However, with the development of science and technology and the requirements of energy conservation and environmental protection, the inverter air conditioner has become the mainstream of the current air conditioner, and a power aggregation and response capability evaluation method for the inverter air conditioner is still blank.
Disclosure of Invention
In order to solve the problems of aggregation and response capability evaluation of the inverter air conditioners, the invention provides an inverter air conditioner cluster response capability evaluation method and system considering the intention of a user, and provides a basis for load regulation and control of resident air conditioners participating in a power grid.
The invention adopts a technical scheme that: a response capability assessment method for a variable frequency air conditioner cluster comprises the following steps:
step S1: determining the load scale of the variable frequency air conditioner participating in demand response, selecting a part of variable frequency air conditioners as load samples, and then estimating thermodynamic parameters of air conditioner rooms and characteristic parameters of the air conditioners;
step S2: calculating the aggregation power of the variable frequency air conditioner cluster in the load sample according to the thermodynamic parameters of the air conditioner room and the characteristic parameters of the air conditioner estimated in the step S1;
step S3: on the basis of considering the comfort level of the user, taking the electricity price in the ordinary time period in the time-of-use electricity prices as the basic electricity price to obtain the response intention of the user in each time period, and obtaining the adjustable range of the indoor temperature of the user in each time period based on the response intention;
step S4: and calculating the response capability of the variable frequency air conditioner cluster in each time period according to the aggregated power of the variable frequency air conditioner cluster in the step S2 and the adjustable range of the indoor temperature of the user in the step S3.
Further, in step S2, the following method is adopted to calculate the aggregate power of the variable frequency air conditioner clusters in the load sample:
polymerizing N variable frequency air conditioners to obtain the polymerization power Pt aggExpressed as:
Figure BDA0003352746500000021
wherein R isiIs the equivalent heat capacity of the room i,
Figure BDA0003352746500000022
the temperature set for the air conditioner i,
Figure BDA0003352746500000023
is the outdoor ambient temperature; a. b, m and n are constant coefficients respectively, and a and m are both larger than 0.
Furthermore, the temperature control method is adopted for the variable frequency air conditioner to control the air conditioner to participate in demand response, the indoor temperature is kept unchanged when the variable frequency air conditioner operates stably, and the power P when the air conditioner operates stably is obtainedt IACComprises the following steps:
Figure BDA0003352746500000024
wherein, tausetSetting the temperature for the air conditioner, wherein R is the equivalent heat capacity of the air-conditioning room;
the temperature of the ith air conditioner is set to be deltaiThe upper and lower limits of the temperature are expressed as:
Figure BDA0003352746500000025
the upper limit and the lower limit of the air conditioner cluster aggregation power are respectively expressed as follows:
Figure BDA0003352746500000026
Figure BDA0003352746500000027
thus, the aggregate power P of the air conditioning clusterst aggIs represented by the interval [ Pt agg,d,Pt agg,u]Any value of (a):
Pt agg＝αPt agg,d+(1-α)Pt agg,u，α∈[0,1]。
further, in the step S3, the willingness of the user to participate in the demand response is related to the current electricity price and the user 'S expectation, and the user' S expectation is assumed as the base electricity price pbaseIf the current price of electricity is
Figure BDA0003352746500000031
Higher than base price of electricity pbaseIf the current electricity utilization cost is higher than the expected cost of the user, the user expects to reduce the electricity utilization cost by participating in demand response, namely the user is willing to participate in demand response; on the contrary, the user is more attentive to thermal comfort; defining a user willingness factor mutTo reflect the willingness to participate in demand response, it is expressed as:
Figure BDA0003352746500000032
in the formula, pmaxThe highest electricity price;
the adjustable range of the indoor temperature is dynamically changed according to the user's intention in the initial adjustable temperature range of the user, so that the variation of the adjustable range of the temperature caused by the user's intention
Figure BDA0003352746500000033
Comprises the following steps:
Figure BDA0003352746500000034
Figure BDA0003352746500000035
Figure BDA0003352746500000036
in the formula,
Figure BDA0003352746500000037
and
Figure BDA0003352746500000038
respectively a lower limit value and an upper limit value of the comfortable temperature of the user i,
Figure BDA0003352746500000039
and
Figure BDA00033527465000000310
and respectively considering the temperature adjustable upper bound and the temperature adjustable lower bound of the user i at the moment t.
Further, in step S4, the response capability of the inverter air conditioner cluster is calculated by the following method:
assuming that the indoor temperatures of all users at the time t are the initial set values of the air conditioners, the aggregate power of the air conditioner cluster is as follows:
Figure BDA00033527465000000311
wherein E (X) represents the expectation of a random variable X;
according to the adjustable range of the indoor temperature of the user, determining that the adjustable interval of the aggregation power of the air conditioner cluster is as follows:
Figure BDA00033527465000000312
Figure BDA00033527465000000313
wherein,
Figure BDA0003352746500000041
and
Figure BDA0003352746500000042
respectively adjustable range of indoor temperature of userMaximum and minimum values of the circumference, Pt agg,minAnd Pt agg,maxRespectively aggregating power P for air conditioner clustert aggThe lower and upper limits of the adjustable range; r is the equivalent heat capacity of the room,
Figure BDA0003352746500000043
the temperature set for the air conditioner i,
Figure BDA0003352746500000044
is the outdoor ambient temperature; a. b, m and n are constant coefficients respectively, and a and m are both greater than 0;
therefore, the response capability of the variable frequency air conditioner cluster of the air conditioner cluster is as follows:
Figure BDA0003352746500000045
in the formula,
Figure BDA0003352746500000046
the response capability of the variable frequency air conditioner cluster is provided.
The other technical scheme adopted by the invention is as follows: a variable frequency air conditioner cluster response capability assessment system comprises:
a parameter estimation unit: determining the load scale of the variable frequency air conditioner participating in demand response, selecting a part of variable frequency air conditioners as load samples, and then estimating thermodynamic parameters of air conditioner rooms and characteristic parameters of the air conditioners;
an aggregate power calculation unit: calculating the aggregation power of the variable frequency air conditioner cluster in the load sample according to the thermodynamic parameters of the air conditioner room and the characteristic parameters of the air conditioner estimated in the parameter estimation unit;
user indoor temperature adjustable range acquisition unit: on the basis of considering the comfort level of the user, taking the electricity price in the ordinary time period in the time-of-use electricity prices as the basic electricity price to obtain the response intention of the user in each time period, and obtaining the adjustable range of the indoor temperature of the user in each time period based on the response intention;
a response capability calculation unit: and calculating the response capability of the variable-frequency air-conditioning cluster at each time interval according to the aggregation power of the variable-frequency air-conditioning cluster and the adjustable range of the indoor temperature of the user.
The invention relates to a variable frequency air conditioner cluster response capability assessment method and system considering user intentions, which have the following beneficial effects:
1. according to the method, through research on the control strategy of the variable frequency air conditioner, a mathematical model of the variable frequency air conditioner is established, an aggregation power model of the variable frequency air conditioner cluster is deduced according to the load parameters of the single variable frequency air conditioner and the thermodynamic parameters of the air conditioner room, and the blank of the aggregation model of the variable frequency air conditioner cluster is filled.
2. The method and the system evaluate the response capability of the variable frequency air conditioner cluster based on the aggregated power of the variable frequency air conditioner cluster and the user intention, and provide a basis for the resident air conditioners to participate in load regulation and control of the power grid.
Drawings
FIG. 1 is a diagram illustrating the aggregate results of typical day-summer air conditioning clusters in an example of application of the present invention;
FIG. 2 is a diagram illustrating user response wishes and adjustable temperature ranges in an example of an application of the present invention;
fig. 3 is a response diagram of an air conditioner cluster in an application example of the present invention.
Detailed Description
The invention is further described with reference to the drawings and the detailed description.
Example 1
A method for evaluating response capability of a variable frequency air conditioner cluster in consideration of user intention comprises the following steps:
step S1: determining the load scale of the variable-frequency air conditioners participating in demand response, selecting a part of variable-frequency air conditioners as load samples, and estimating thermodynamic parameters of air conditioner rooms and characteristic parameters of the air conditioners.
Step S2: and calculating the aggregation power of the variable frequency air conditioner cluster in the load sample.
The temperature control method is adopted for the variable frequency air conditioner to control the air conditioner to participate in demand response, the indoor temperature is kept unchanged when the variable frequency air conditioner operates stably, and the power P when the air conditioner operates stably can be obtainedt IACComprises the following steps:
Figure BDA0003352746500000051
wherein,
Figure BDA0003352746500000052
the temperature set for the air conditioner i,
Figure BDA0003352746500000053
is the outdoor ambient temperature; a. b, m and n are constant coefficients respectively, and a and c are positive numbers;
polymerizing N variable frequency air conditioners to obtain the polymerization power Pt aggCan be expressed as:
Figure BDA0003352746500000054
wherein, R is the equivalent heat capacity of the room.
Let the temperature of the ith air conditioning load be adjustable by deltaiThe upper and lower limits of the temperature can be expressed as:
Figure BDA0003352746500000055
the upper limit and the lower limit of the air conditioner cluster aggregation power can be respectively expressed as:
Figure BDA0003352746500000056
Figure BDA0003352746500000057
thus, the aggregate power P of the air conditioning clusterst aggCan be expressed as an interval [ Pt agg,d,Pt agg,u]Any value of (a):
Pt agg＝αPt agg,d+(1-α)Pt agg,u,α∈[0,1] (6)
step S3: and taking the electricity price in the middle normal time period of the time-of-use electricity prices as the basic electricity price to obtain the response intention of the user in each time period, and further obtaining the adjustable range of the indoor temperature of the user in each time period based on the response intention.
The willingness of the user to participate in the demand response is related to the current electricity price and the user's expectations. Assuming the expected electricity price of the user as the base electricity price pbaseIf the current price of electricity is
Figure BDA0003352746500000061
Higher than base price of electricity pbaseIt means that the current electricity cost is higher than the psychological expectation of the user, and at this time, the user desires to reduce the electricity cost by participating in the demand response, i.e., is willing to participate in the demand response. Conversely, the user is more concerned about thermal comfort. Defining a user willingness factor mutTo reflect the willingness to participate in demand response, it can be expressed as:
Figure BDA0003352746500000062
in the formula, pmaxThe highest electricity price.
The indoor temperature adjustable range is dynamically changed according to the user's intention on the user's initial adjustable temperature range. Therefore, the amount of change in the temperature adjustable range caused by the user's intention is:
Figure BDA0003352746500000063
Figure BDA0003352746500000064
Figure BDA0003352746500000065
in the formula,
Figure BDA0003352746500000066
and
Figure BDA0003352746500000067
respectively a lower limit value and an upper limit value of the comfortable temperature of the user i,
Figure BDA0003352746500000068
and
Figure BDA0003352746500000069
and respectively considering the temperature adjustable upper bound and the temperature adjustable lower bound of the user i at the moment t.
Step S4: and calculating the response capability of the variable-frequency air conditioner cluster at each time interval.
Assuming that the indoor temperatures of all users at the time t are initial set values of the air conditioner, and the value of α in the formula (6) is 0.5, the aggregate power of the air conditioner cluster is as follows:
Figure BDA00033527465000000610
the adjustable interval of the air conditioner cluster aggregation power is as follows:
Pt agg,min≤Pt agg≤Pt agg,max (12)
Figure BDA00033527465000000611
Figure BDA00033527465000000612
wherein E (X) represents the expectation of a random variable X, Pt agg,minAnd Pt agg,maxRespectively the lower limit and the upper limit of the adjustable range of the aggregation power of the air conditioner cluster。
Therefore, the response capability of the variable frequency air conditioner cluster of the air conditioner cluster is as follows:
Figure BDA0003352746500000071
example 2
A variable frequency air conditioner cluster response capability assessment system comprises:
a parameter estimation unit: determining the load scale of the variable frequency air conditioner participating in demand response, selecting a part of variable frequency air conditioners as load samples, and then estimating thermodynamic parameters of air conditioner rooms and characteristic parameters of the air conditioners;
an aggregate power calculation unit: calculating the aggregation power of the variable frequency air conditioner cluster in the load sample according to the thermodynamic parameters of the air conditioner room and the characteristic parameters of the air conditioner estimated in the parameter estimation unit;
user indoor temperature adjustable range acquisition unit: on the basis of considering the comfort level of the user, taking the electricity price in the ordinary time period in the time-of-use electricity prices as the basic electricity price to obtain the response intention of the user in each time period, and obtaining the adjustable range of the indoor temperature of the user in each time period based on the response intention;
a response capability calculation unit: and calculating the response capability of the variable-frequency air-conditioning cluster at each time interval according to the aggregation power of the variable-frequency air-conditioning cluster and the adjustable range of the indoor temperature of the user.
Specifically, in the aggregated power calculating unit, the aggregated power of the variable frequency air conditioner cluster in the load sample is calculated by the following method:
controlling the air conditioner to participate in demand response by adopting a temperature control method for the variable frequency air conditioner, maintaining the indoor temperature unchanged when the variable frequency air conditioner operates stably, and obtaining the power P when the air conditioner operates stablyt IACComprises the following steps:
Figure BDA0003352746500000072
wherein, tausetTemperature set for air-conditioning, R is equivalent heat capacity of air-conditioning room；
Figure BDA0003352746500000073
Is the outdoor ambient temperature; a. b, m and n are constant coefficients respectively, and a and m are both larger than 0.
Polymerizing N variable frequency air conditioners to obtain the polymerization power Pt aggExpressed as:
Figure BDA0003352746500000074
wherein R isiIs the equivalent heat capacity of the room i,
Figure BDA0003352746500000075
the temperature set for air conditioner i.
The temperature of the ith air conditioner is set to be deltaiThe upper and lower limits of the temperature are expressed as:
Figure BDA0003352746500000081
the upper limit and the lower limit of the air conditioner cluster aggregation power are respectively expressed as follows:
Figure BDA0003352746500000082
Figure BDA0003352746500000083
thus, the aggregate power P of the air conditioning clusterst aggIs represented by the interval [ Pt agg,d,Pt agg,u]Any value of (a):
Pt agg＝αPt agg,d+(1-α)Pt agg,u，α∈[0,1]。
specifically, in the user indoor temperature adjustable range obtaining unit, willingness and willingness of the user to participate in demand responseThe current price of electricity is related to the user's expectation, assuming the user's expected price of electricity as the base price of electricity pbaseIf the current price of electricity is
Figure BDA0003352746500000084
Higher than base price of electricity pbaseIf the current electricity utilization cost is higher than the expected cost of the user, the user expects to reduce the electricity utilization cost by participating in demand response, namely the user is willing to participate in demand response; on the contrary, the user is more attentive to thermal comfort; defining a user willingness factor mutTo reflect the willingness to participate in demand response, it is expressed as:
Figure BDA0003352746500000085
in the formula, pmaxThe highest electricity price;
the adjustable range of the indoor temperature is dynamically changed according to the user's intention in the initial adjustable temperature range of the user, so that the variation of the adjustable range of the temperature caused by the user's intention
Figure BDA0003352746500000086
Comprises the following steps:
Figure BDA0003352746500000087
Figure BDA0003352746500000088
Figure BDA0003352746500000089
in the formula,
Figure BDA00033527465000000810
and
Figure BDA00033527465000000811
respectively a lower limit value and an upper limit value of the comfortable temperature of the user i,
Figure BDA00033527465000000812
and
Figure BDA00033527465000000813
and respectively considering the temperature adjustable upper bound and the temperature adjustable lower bound of the user i at the moment t.
Specifically, in the response capability calculation unit, the response capability of the inverter air conditioner cluster is calculated by adopting the following method:
assuming that the indoor temperatures of all users at the time t are the initial set values of the air conditioners, the aggregate power of the air conditioner cluster is as follows:
Figure BDA0003352746500000091
wherein E (X) represents the expectation of a random variable X;
according to the adjustable range of the indoor temperature of the user, determining that the adjustable interval of the aggregation power of the air conditioner cluster is as follows:
Figure BDA0003352746500000092
Figure BDA0003352746500000093
wherein,
Figure BDA0003352746500000094
and
Figure BDA0003352746500000095
respectively the maximum and minimum of the adjustable range of the indoor temperature of the user, Pt agg,minAnd Pt agg,maxRespectively setting the lower limit and the upper limit of the adjustable range of the aggregation power of the air conditioner cluster; r is the equivalent heat capacity of the room,
Figure BDA0003352746500000096
the temperature set for the air conditioner i,
Figure BDA0003352746500000097
is the outdoor ambient temperature; a. b, m and n are constant coefficients respectively, and a and m are both greater than 0;
therefore, the response capability of the variable frequency air conditioner cluster of the air conditioner cluster is as follows:
Figure BDA0003352746500000098
in the formula,
Figure BDA0003352746500000099
the response capability of the variable frequency air conditioner cluster is provided.
Application example
The evaluation method or the evaluation system of the invention is adopted to explain the air conditioner cluster containing 5000 variable frequency air conditioners as an application object.
According to step S1 or the parameter estimation unit, randomly extracting 1000 variable frequency air conditioners in a 5000 air conditioner cluster as load samples, and estimating the distribution of thermodynamic parameters and variable frequency air conditioner characteristic parameters of the air-conditioned rooms according to the load samples, as shown in table 1:
TABLE 1 parameter distribution of air conditioners and rooms
Parameter(s) Distribution of Parameter(s) Distribution of
R(kJ/℃) U(4,4.5) a(℃) U(0.016,0.021)
C(℃/kW) U(2.5,3) b(℃) U(0.060,0.080)
τset(℃) N(26,0.25) m(℃) U(0.040,0.045)
δ(℃) N(2.5,0.04) n(℃) U(0.180,0.200)
According to step S2 or the aggregated power calculating unit, taking a typical day in summer as an example, the aggregated result of the air conditioner clusters in one day is obtained as shown in fig. 1. FIG. 1 is a double Y-axis graph, the left Y-axis representing the outdoor temperature and the right Y-axis representing the polymerization power. As can be seen, as the outdoor temperature increases, the aggregate power of the air conditioning clusters also increases. The upper limit and the lower limit of the polymerization power are respectively about 120% and 80% of the estimated value of the polymerization power.
According to the step S3 or the user indoor temperature adjustable range obtaining unit, the user response intention and the adjustable range of the user indoor temperature obtained in each period are as shown in fig. 2. In fig. 2, in the time period of 0: 00-7: 00, the electricity price is the low-valley electricity price, and the willingness degree of the user to participate in the demand response is-0.185 below the basic electricity price, which indicates that the user is unwilling to participate in the demand response in the time period. In the time periods of 8: 00-10: 00, 16: 00-18: 00 and 22: 00-24: 00, the user willingness degree is 0, which indicates that the attitude of the user participating in the demand response is a neutral attitude, because the electricity price is the basic electricity price in the time period. In the time periods of 11: 00-15: 00 and 19: 00-21: 00, the electricity price is the peak electricity price, the willingness for participating in demand response is strong, and the willingness degree of a user in the time periods is 0.312. And in the time period when the user does not want to participate in the demand response, the adjustable temperature range of the user is 25.26-26.84 ℃, which is smaller than the original adjustable temperature range. During peak hours when the user actively participates in demand response, the user adjustable temperature range is 24.02 ℃ -28.08 ℃, and exceeds the original adjustable temperature range. This indicates that the user is willing to sacrifice some of the thermal comfort to achieve economic compensation for that period.
According to the step S4 or the response capability calculating unit, the response potential of the air conditioner cluster in each time period is calculated as shown in fig. 3. During the off-peak electricity price period, the user is unwilling to participate in demand response, so the response potential during this period is small, only 428.76 kW. During the period when the user remains in a neutral attitude for participating demand responses, the aggregate response potential is equal to the original response potential, 665.73 kW. In the time period when the user actively participates in demand response, the adjustable range of the indoor temperature of the user is wide, and the response potential of the system is large and is 1064.77 kW.
The above-mentioned embodiments are only preferred embodiments of the present invention, and all equivalent changes and modifications made within the scope of the claims of the present invention should be covered by the present invention.

Claims (10)

1. A response capability evaluation method for a variable frequency air conditioner cluster is characterized by comprising the following steps:
step S1: determining the load scale of the variable frequency air conditioner participating in demand response, selecting a part of variable frequency air conditioners as load samples, and then estimating thermodynamic parameters of air conditioner rooms and characteristic parameters of the air conditioners;
step S2: calculating the aggregation power of the variable frequency air conditioner cluster in the load sample according to the thermodynamic parameters of the air conditioner room and the characteristic parameters of the air conditioner estimated in the step S1;
step S3: on the basis of considering the comfort level of the user, taking the electricity price in the ordinary time period in the time-of-use electricity prices as the basic electricity price to obtain the response intention of the user in each time period, and obtaining the adjustable range of the indoor temperature of the user in each time period based on the response intention;
step S4: and calculating the response capability of the variable frequency air conditioner cluster in each time period according to the aggregated power of the variable frequency air conditioner cluster in the step S2 and the adjustable range of the indoor temperature of the user in the step S3.
2. The method for evaluating response capability of inverter air-conditioner cluster according to claim 1, characterized in that in step S2, the aggregated power of inverter air-conditioner cluster in the load sample is calculated by the following method:
polymerizing N variable frequency air conditioners to obtain the polymerization power Pt aggExpressed as:
Figure FDA0003352746490000011
wherein R isiIs the equivalent heat capacity of the air-conditioned room i,
Figure FDA0003352746490000012
the temperature set for the air conditioner i,
Figure FDA0003352746490000013
is the outdoor ambient temperature; a. b, m and n are constant coefficients respectively, and a and m are both larger than 0.
3. The method for evaluating the response capability of the inverter air conditioner cluster according to claim 2, wherein the inverter air conditioner is controlled by adopting a temperature control method to participate in demand response, and the indoor temperature is maintained unchanged when the inverter air conditioner operates stably to obtain the power P when the air conditioner operates stablyt IACComprises the following steps:
Figure FDA0003352746490000014
wherein, tausetSetting the temperature for the air conditioner, wherein R is the equivalent heat capacity of the air-conditioning room;
the temperature of the ith air conditioner is set to be deltaiThe upper and lower limits of the temperature are expressed as:
Figure FDA0003352746490000015
the upper limit and the lower limit of the air conditioner cluster aggregation power are respectively expressed as follows:
Figure FDA0003352746490000021
Figure FDA0003352746490000022
thus, the aggregate power P of the air conditioning clusterst aggIs represented by the interval [ Pt agg,d,Pt agg,u]Any value of (a):
Pt agg＝αPt agg,d+(1-α)Pt agg,u，α∈[0,1]。
4. the method for evaluating response capability of inverter air conditioner cluster as claimed in claim 1, wherein in step S3, willingness of user to participate in demand response is related to current electricity price and user 'S expectation, assuming user' S expectation as base electricity price pbaseIf the current price of electricity is
Figure FDA0003352746490000023
Higher than base price of electricity pbaseIf the current electricity utilization cost is higher than the expected cost of the user, the user expects to reduce the electricity utilization cost by participating in demand response, namely the user is willing to participate in demand response; on the contrary, the user is more attentive to thermal comfort; defining a user willingness factor mutTo reflect participation in demand responseWill, then be expressed as:
Figure FDA0003352746490000024
in the formula, pmaxThe highest electricity price;
the adjustable range of the indoor temperature is dynamically changed according to the user's intention in the initial adjustable temperature range of the user, so that the variation of the adjustable range of the temperature caused by the user's intention
Figure FDA0003352746490000025
Comprises the following steps:
Figure FDA0003352746490000026
Figure FDA0003352746490000027
Figure FDA0003352746490000028
in the formula,
Figure FDA0003352746490000029
and
Figure FDA00033527464900000210
respectively a lower limit value and an upper limit value of the comfortable temperature of the user i,
Figure FDA00033527464900000211
and
Figure FDA00033527464900000212
and respectively considering the temperature adjustable upper bound and the temperature adjustable lower bound of the user i at the moment t.
5. The method for evaluating response capability of an inverter air conditioner cluster according to claim 1, wherein in step S4, the inverter air conditioner cluster response capability is calculated by adopting the following method:
assuming that the indoor temperatures of all users at the time t are the initial set values of the air conditioners, the aggregate power of the air conditioner cluster is as follows:
Figure FDA00033527464900000213
wherein E (X) represents the expectation of a random variable X;
according to the adjustable range of the indoor temperature of the user, determining that the adjustable interval of the aggregation power of the air conditioner cluster is as follows:
Figure FDA0003352746490000031
Figure FDA0003352746490000032
wherein,
Figure FDA0003352746490000033
and
Figure FDA0003352746490000034
respectively the maximum and minimum of the adjustable range of the indoor temperature of the user, Pt agg,minAnd Pt agg,maxRespectively aggregating power P for air conditioner clustert aggThe lower and upper limits of the adjustable range; r is the equivalent heat capacity of the room, taui setTemperature, τ, set for air conditioner it outIs the outdoor ambient temperature; a. b, m and n are constant coefficients respectively, and a and m are both greater than 0;
therefore, the response capability of the variable frequency air conditioner cluster of the air conditioner cluster is as follows:
Figure FDA0003352746490000035
in the formula,
Figure FDA0003352746490000036
the response capability of the variable frequency air conditioner cluster is provided.
6. The utility model provides a frequency conversion air conditioner cluster response ability evaluation system which characterized in that includes:
a parameter estimation unit: determining the load scale of the variable frequency air conditioner participating in demand response, selecting a part of variable frequency air conditioners as load samples, and then estimating thermodynamic parameters of air conditioner rooms and characteristic parameters of the air conditioners;
an aggregate power calculation unit: calculating the aggregation power of the variable frequency air conditioner cluster in the load sample according to the thermodynamic parameters of the air conditioner room and the characteristic parameters of the air conditioner estimated in the parameter estimation unit;
user indoor temperature adjustable range acquisition unit: on the basis of considering the comfort level of the user, taking the electricity price in the ordinary time period in the time-of-use electricity prices as the basic electricity price to obtain the response intention of the user in each time period, and obtaining the adjustable range of the indoor temperature of the user in each time period based on the response intention;
a response capability calculation unit: and calculating the response capability of the variable-frequency air-conditioning cluster at each time interval according to the aggregation power of the variable-frequency air-conditioning cluster and the adjustable range of the indoor temperature of the user.
7. The system for evaluating response capability of inverter air-conditioner cluster according to claim 6, wherein in the aggregated power calculating unit, the aggregated power of inverter air-conditioner cluster in the load sample is calculated by the following method:
polymerizing N variable frequency air conditioners to obtain the polymerization power Pt aggExpressed as:
Figure FDA0003352746490000037
wherein R isiIs the equivalent heat capacity of the room i,
Figure FDA0003352746490000041
the temperature set for the air conditioner i,
Figure FDA0003352746490000042
is the outdoor ambient temperature; a. b, m and n are constant coefficients respectively, and a and m are both larger than 0.
8. The system for evaluating response capability of inverter air conditioner cluster according to claim 7, characterized in that the inverter air conditioner is controlled by a temperature control method to participate in demand response, and the indoor temperature is maintained unchanged during stable operation of the inverter air conditioner to obtain the power P during stable operation of the air conditionert IACComprises the following steps:
Figure FDA0003352746490000043
wherein, tausetSetting the temperature for the air conditioner, wherein R is the equivalent heat capacity of the air-conditioning room;
the temperature of the ith air conditioner is set to be deltaiThe upper and lower limits of the temperature are expressed as:
Figure FDA0003352746490000044
the upper limit and the lower limit of the air conditioner cluster aggregation power are respectively expressed as follows:
Figure FDA0003352746490000045
Figure FDA0003352746490000046
thus, the aggregate power P of the air conditioning clusterst aggIs represented by the interval [ Pt agg,d,Pt agg,u]Any value of (a):
Pt agg＝αPt agg,d+(1-α)Pt agg,u，α∈[0,1]。
9. the system for evaluating response capability of inverter air conditioner cluster as claimed in claim 6, wherein in the user indoor temperature adjustable range obtaining unit, willingness of user to participate in demand response is related to current electricity price and user expectation, and the expected electricity price of user is assumed as base electricity price pbaseIf the current price of electricity is
Figure FDA0003352746490000047
Higher than base price of electricity pbaseIf the current electricity utilization cost is higher than the expected cost of the user, the user expects to reduce the electricity utilization cost by participating in demand response, namely the user is willing to participate in demand response; on the contrary, the user is more attentive to thermal comfort; defining a user willingness factor mutTo reflect the willingness to participate in demand response, it is expressed as:
Figure FDA0003352746490000048
in the formula, pmaxThe highest electricity price;
the adjustable range of the indoor temperature is dynamically changed according to the user's intention in the initial adjustable temperature range of the user, so that the variation of the adjustable range of the temperature caused by the user's intention
Figure FDA0003352746490000051
Comprises the following steps:
Figure FDA0003352746490000052
Figure FDA0003352746490000053
Figure FDA0003352746490000054
in the formula,
Figure FDA0003352746490000055
and
Figure FDA0003352746490000056
respectively a lower limit value and an upper limit value of the comfortable temperature of the user i,
Figure FDA0003352746490000057
and
Figure FDA0003352746490000058
and respectively considering the temperature adjustable upper bound and the temperature adjustable lower bound of the user i at the moment t.
10. The system for evaluating response capability of an inverter air conditioner cluster according to claim 6, wherein the response capability calculating unit calculates the response capability of the inverter air conditioner cluster by using the following method:
assuming that the indoor temperatures of all users at the time t are the initial set values of the air conditioners, the aggregate power of the air conditioner cluster is as follows:
Figure FDA0003352746490000059
wherein E (X) represents the expectation of a random variable X;
according to the adjustable range of the indoor temperature of the user, determining that the adjustable interval of the aggregation power of the air conditioner cluster is as follows:
Figure FDA00033527464900000510
Figure FDA00033527464900000511
wherein,
Figure FDA00033527464900000512
and
Figure FDA00033527464900000513
respectively the maximum and minimum of the adjustable range of the indoor temperature of the user, Pt agg,minAnd Pt agg,maxRespectively aggregating power P for air conditioner clustert aggThe lower and upper limits of the adjustable range; r is the equivalent heat capacity of the room,
Figure FDA00033527464900000514
the temperature set for the air conditioner i,
Figure FDA00033527464900000515
is the outdoor ambient temperature; a. b, m and n are constant coefficients respectively, and a and m are both greater than 0;
therefore, the response capability of the variable frequency air conditioner cluster of the air conditioner cluster is as follows:
Figure FDA00033527464900000516
in the formula,
Figure FDA00033527464900000517
the response capability of the variable frequency air conditioner cluster is provided.
CN202111342744.8A 2021-11-12 2021-11-12 Variable frequency air conditioner cluster response capability assessment method and system Pending CN114186393A (en)

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114943140A (en) * 2022-04-29 2022-08-26 三峡大学 Method for evaluating response potential of air conditioner cluster under grouped regulation and control considering user experience
CN114992772A (en) * 2022-06-20 2022-09-02 华北电力科学研究院有限责任公司 Air conditioner temperature control load cluster adjustable potential evaluation method and device and storage medium
CN115130899A (en) * 2022-07-18 2022-09-30 东南大学溧阳研究院 Kmeas-GM-based air conditioner load day-ahead response capacity evaluation method

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114943140A (en) * 2022-04-29 2022-08-26 三峡大学 Method for evaluating response potential of air conditioner cluster under grouped regulation and control considering user experience
CN114992772A (en) * 2022-06-20 2022-09-02 华北电力科学研究院有限责任公司 Air conditioner temperature control load cluster adjustable potential evaluation method and device and storage medium
CN114992772B (en) * 2022-06-20 2023-07-28 华北电力科学研究院有限责任公司 Method, device and storage medium for evaluating adjustable potential of air conditioner temperature control load cluster
CN115130899A (en) * 2022-07-18 2022-09-30 东南大学溧阳研究院 Kmeas-GM-based air conditioner load day-ahead response capacity evaluation method

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