CN107143968A - Peak regulation control method based on air-conditioning polymerization model - Google Patents

Peak regulation control method based on air-conditioning polymerization model Download PDF

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CN107143968A
CN107143968A CN201710245401.7A CN201710245401A CN107143968A CN 107143968 A CN107143968 A CN 107143968A CN 201710245401 A CN201710245401 A CN 201710245401A CN 107143968 A CN107143968 A CN 107143968A
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mrow
msub
air
conditioning
load
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高赐威
孙玲玲
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Southeast University
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Southeast University
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Abstract

The present invention relates to a kind of peak regulation control method based on air-conditioning polymerization model, it is characterised in that the control method comprises the following steps:(1) load model of single air conditioner is set up according to conservation of energy principle and operation of air conditioner characteristic;(2) United Dispatching and control are carried out to air-conditioning group by Load aggregation business, sets up the polymerization model of air-conditioning group, and assess the peak regulation potentiality of polymerization air conditioner load;(3) in ahead market, cost is dispatched as object function to minimize Utilities Electric Co., the operation plan of peak regulation period next day is formulated;(4) in Real-Time Scheduling, consider Load aggregation business profit and users'comfort, realize the optimal control of polymerization air conditioner load.The technical scheme realizes the centralized dispatching control of air-conditioning group, has fully excavated load side resource, slow down the investment pressure of electrical network facilities.

Description

Peak regulation control method based on air-conditioning polymerization model
Technical field
The present invention relates to a kind of control method, and in particular to a kind of peak regulation control method based on air-conditioning polymerization model, category In Power System and its Automation control technology field.
Background technology
Renewable Energy Development, raising efficiency of energy utilization have become the important research content of energy field.With with Wind-powered electricity generation, solar power generation access power network on a large scale for novel loads such as the fluctuation power supplys and electric automobile of representative, and in short-term The rapid growth of peak load, peak load regulation network and safe operation problem are increasingly serious, and traditional only leans on single increase peaking power source Way cost it is higher and influence of to environment is larger.
Air conditioner load is the important component of system peak load, especially in peak load period summer.Statistical result shows Show, domestic some city air conditioner loads have reached 30%~40% in the ratio of peakload shared by summer peak period, and present The trend risen year by year.But then, the energy storage characteristic of air-conditioned room becomes a kind of outstanding peak regulation resource.Existing skill Construction in art for polymerization model also has the introduction of correlation, but currently existing scheme is not ideal.Therefore set up based on sky Adjust the peak regulation Controlling model of polymerization model significant.
The content of the invention
There is provided a kind of peak regulation based on air-conditioning polymerization model exactly for technical problem present in prior art by the present invention Control method, the technical scheme realizes the United Dispatching of extensive air-conditioning group, fully excavates Demand-side resource, slow down power network and set The investment pressure applied.
To achieve these goals, technical scheme is as follows, a kind of peak regulation control based on air-conditioning polymerization model Method, it is characterised in that the control method comprises the following steps:
(1) load model of single air conditioner is set up according to conservation of energy principle and operation of air conditioner characteristic;
(2) United Dispatching and control are carried out to air-conditioning group by Load aggregation business, sets up the polymerization model of air-conditioning group, and comment Estimate the peak regulation potentiality of polymerization air conditioner load;
(3) in ahead market, cost is dispatched as object function to minimize Utilities Electric Co., peak regulation period next day is formulated Operation plan;
(4) in Real-Time Scheduling, consider Load aggregation business profit and users'comfort, realize polymerization air conditioner load Optimal control.
As a modification of the present invention, the step (1) sets up single according to conservation of energy principle and operation of air conditioner characteristic The load model of platform air-conditioning, specifically includes following steps:
(11) the equivalent heat parameter model of convertible frequency air-conditioner load is expressed as follows:
In formula, Tin(t) it is the indoor temperature of t, DEG C;Tout(t) it is the outdoor temperature of t, DEG C;QAC(t) when being t The air conditioner refrigerating amount at quarter, kW;R is air-conditioned room equivalent thermal resistance, Ω;C is the equivalent thermal capacitance of air-conditioned room, F;
(12) during convertible frequency air-conditioner work, with the increase of frequency, the refrigerating capacity and electrical power of convertible frequency air-conditioner will all increase, Relation between frequency and refrigerating capacity, electrical power is as follows:
QAC(t)=af (t)+b (2)
PAC(t)=nf (t)+m (3)
In formula:PACRepresent the refrigeration work consumption of air-conditioner set, kW;F represents the power of frequency converting air-conditioner compressor, Hz;N, m table Show power constant coefficient;QACThe refrigerating capacity of convertible frequency air-conditioner is represented, a, b represent refrigerating capacity constant coefficient;
(13) the then power P of air-conditioningACWith the refrigerating capacity Q of air-conditioningACBetween relation be:
As a modification of the present invention, the step (2) comprises the following steps:
(21) air-conditioning group's polymerization model is set up;
(22) it polymerize air conditioner load peak regulation Potential Evaluation.
It is specific as follows that the step (21) sets up air-conditioning group's polymerization model, air conditioner load and tradition energy storage device characteristic phase Seemingly, can be by electric energy so that in building belonging to being stored in the form of heat energy, the higher energy storage capacity of indoor temperature is smaller, and indoor temperature is got over Low energy storage capacity is bigger.Assuming that the comfort level scope of user is [Tmin,Tmax], indoor temperature is TmaxWhen energy storage capacity be 0, then it is indoor Temperature is TinWhen energy storage capacity OinFor:
Oin=C (Tmax-Tin); (5)
The stored energy capacitance O of building is:
O=C (Tmax-Tmin); (6)
The state-of-charge SOC for defining air-conditioning is energy storage capacity OinWith stored energy capacitance O ratio:
When indoor temperature is maintained at TinWhen, the refrigerating capacity Q of air-conditioning can be obtained according to formula (1)ACFor:
Formula (8) is substituted into formula (4), air-conditioning power P is obtainedACFor:
Bring formula (7) into formula (9), arrange the power P for obtaining air-conditioningACRelation with the state-of-charge SOC of air-conditioning is:
PAC=α SOC+ β Tout+γ; (10)
Wherein, tri- coefficient expressions of α, β, γ are as follows:
The state-of-charge SOC of air-conditioning excursion [0,1] is divided into N number of minizone, according to the charged of every air-conditioning State SOC, all air-conditionings are divided into each minizone, and the air-conditioning quantity counted in each minizone is respectively m1, m2,…,mi,…,mN, the state-of-charge of the air-conditioning in i-th of minizone is unified for SOCi
Setting up the air-conditioned polymerization model of institute in i-th of minizone is:
PiiSOCiiTouti; (15)
Wherein, PiAir-conditioned aggregate power in for i-th minizone;αi_k、βi_kAnd γi_kRespectively i-th cell α, β and γ of interior kth platform air-conditioning.
The step (22) polymerize air conditioner load peak regulation Potential Evaluation, specific as follows,
The total polymerization power P of whole air-conditioning group is tried to achieve according to formula (15)totalFor:
When outdoor temperature keeps constant, in i-th of minizone air-conditioned state integrated regulation to j-th of minizone When aggregate power changes delta Pi-jFor:
ΔPi-ji(SOCj-SOCi) (20)
In the case where comfort level is interval necessarily, the state-of-charge SOC of air conditioner load depends primarily on indoor air temperature in air conditioned building, Because indoor air temperature in air conditioned building is time-varying rather than mutation, therefore polymerization air conditioner load SOC is not equally mutation, i.e., i-th The air-conditioned state integrated regulation of institute is to during j-th of minizone in minizone, and polymerization air conditioner load has an electric discharge Process, electric discharge duration be:
In formula, TinAnd T (i)in(j) it is respectively i-th of minizone and the indoor temperature corresponding to j-th of minizone, with lotus The relation of electricity condition is as follows:
Tin(i)=Tmax-SOCi(Tmax-Tmin) (22)
Tin(j)=Tmax-SOCj(Tmax-Tmin) (23)
Assuming that polymerization air-conditioning regulation and control duration is more than the electric discharge duration of each polymerization air-conditioning, i.e., do not consider to polymerize the charged shape of air-conditioning Discharge process in state transition process, the stationary value of state-of-charge, then polymerize the maximum of air-conditioning corresponding to a meter and two intervals Controllable potentiality are:
As a modification of the present invention, the step (3) is in ahead market, to minimize Utilities Electric Co.'s scheduling cost For object function, the operation plan of peak regulation period next day is formulated;Specifically include following steps:
Assuming that having M Load aggregation business, the scheduling of next day air conditioner load is divided into T period, and each period interval is Δ t Minute, compensation quotations of the Load aggregation business k (k=1,2 ..., M) in the t periods (t=1,2 ..., T) is μ (t, k), bid capacity For P (t, k).The system total load reduction of Utilities Electric Co. t periods is Preq(t) Load aggregation business k system vacancy, is distributed to For D (t, k).
Cost is dispatched as object function to minimize air conditioner load:
Constraints is as follows:
(a) Load aggregation business units limits
The peak regulation amount that system distributes to Load aggregation business is less than controllable capacity equal to Load aggregation business:
D(t,k)≤P(t,k); (26)
(b) peak-load regulating total amount is constrained
The peak regulation total capacity of all Load aggregation business is greater than the scheduling capacity assigned equal to higher level traffic department:
As a modification of the present invention, in the step (4), in Real-Time Scheduling, Load aggregation business profit is considered Profit and users'comfort, realize that the optimal control of polymerization air conditioner load is specific as follows:
(41) it polymerize air conditioner load optimal control object function;
Traffic department of Utilities Electric Co. is assigned after operation plan to each Load aggregation business, and Load aggregation business is immediately to administrative sky Tone group is controlled, in air conditioner load control process, and Load aggregation business need to take into account user and number one, and object function is most Bigization Load aggregation business's interests;
Assuming that the peak regulation vacancy that traffic department of Utilities Electric Co. distributes to Load aggregation business k in the t periods is D (t, k), with each sky It is polymerization index to adjust the state-of-charge SOC of load, and Load aggregation business is administered into air conditioner load is polymerized to N number of air-conditioning polymerization Body, then the actual peak capacity that t period Load aggregation business k is provided is:
In formula, Δ SOCiFor the polymeric state-of-charge adjustment amount of i-th of air-conditioning of t periods;
Then t period Load aggregation business k actual peak regulation amount and operation plan deviation is:
E (t, k)=D (t, k)-G (t, k) (29)
Load aggregation business adjusts power demand according to the operation plan issued, and Utilities Electric Co. is then according to Load aggregation business's Implementation status is settled accounts, and actual clearing price is the highest quotation μ of all bid winners in each periodmax(t);In order to Scheduling deviation is reduced as far as possible and reduces the scheduling cost of Utilities Electric Co., when Load aggregation business is when exerting oneself more than operation plan, Settled accounts according to operation plan;When exerting oneself less than operation plan, settled accounts according to actual reduction;But if dispatching deviation exceedes maximum Value δmaxWhen, then Utilities Electric Co. will be imposed a fine Load aggregation business, be γ beyond fractional unit electricity fine rate.Then bear Lotus polymerization business k income F1For:
In formula, δ (t, k)=max { 0, e (t, k)-δmax}。
In addition, Load aggregation business needs to pay reimbursement for expenses to administrative air conditioner user, unit quantity of electricity compensation rate is r, then The reimbursement for expenses F that Load aggregation business k is paid2For:
To maximize the profit F of Load aggregation business as object function:
Max F (k)=F1(k)-F2(k) (32)
(42) it polymerize air conditioner load optimal control constraints;
(a) Load aggregation business units limits
Influenceed by air-conditioning condensate regulation and control potentiality, actually exerting oneself for Load aggregation business needs to meet:
In formula,Polymerize air-conditioning for the t periods is in outdoor temperatureWhen maximum cut down power;
(b) state-of-charge is constrained
Constrained by human comfort, state-of-charge SOC span is [0,1], therefore, state-of-charge constraints For:
0≤SOCi(t)≤1 (34)
In formula, SOCi(t) it is the t periods polymeric SOC of i-th of air-conditioning.
Relative to prior art, the invention has the advantages that, the present invention provides a kind of tune based on air-conditioning polymerization model Peak control method, the load model of single air conditioner is set up according to conservation of energy principle and operation of air conditioner characteristic, passes through Load aggregation Business sets up the polymerization model of air-conditioning group, and cost is dispatched as object function to minimize Utilities Electric Co. in ahead market, formulates secondary The operation plan of peak regulation period day, in Real-Time Scheduling, considers Load aggregation business profit and users'comfort, realizes polymerization The optimal control of air conditioner load, fully excavates load side resource, reduces system peak-valley difference, effectively alleviates the confession at peak of power consumption moment Voltage force, slows down the investment pressure of electrical network facilities.
Brief description of the drawings
Fig. 1 is the general flow chart of the inventive method;
Fig. 2 is polymerization air-conditioning Scheduling Framework.
Embodiment:
In order to deepen the understanding of the present invention, the present embodiment is described in detail below in conjunction with the accompanying drawings.
Embodiment 1:Referring to Fig. 1, Fig. 2, a kind of peak regulation control method based on air-conditioning polymerization model, the control method bag Include following steps:
Step (1):The load model of single air conditioner is set up according to conservation of energy principle and operation of air conditioner characteristic.
(11) the equivalent heat parameter model of convertible frequency air-conditioner load is expressed as follows:
In formula, Tin(t) it is the indoor temperature of t, DEG C;Tout(t) it is the outdoor temperature of t, DEG C;QAC(t) when being t The air conditioner refrigerating amount at quarter, kW;R is air-conditioned room equivalent thermal resistance, Ω;C is the equivalent thermal capacitance of air-conditioned room, F.
(12) during convertible frequency air-conditioner work, with the increase of frequency, the refrigerating capacity and electrical power of convertible frequency air-conditioner will all increase, Relation between frequency and refrigerating capacity, electrical power is as follows:
QAC(t)=af (t)+b; (2)
PAC(t)=nf (t)+m; (3)
In formula:PACRepresent the refrigeration work consumption of air-conditioner set, kW;F represents the power of frequency converting air-conditioner compressor, Hz;N, m table Show power constant coefficient;QACThe refrigerating capacity of convertible frequency air-conditioner is represented, a, b represent refrigerating capacity constant coefficient.
(13) the then power P of air-conditioningACWith the refrigerating capacity Q of air-conditioningACBetween relation be:
Step (2):Centralized dispatching and control are carried out to air-conditioning group by Load aggregation business, the polymerization mould of air-conditioning group is set up Type, and assess the peak regulation potentiality of polymerization air conditioner load.
(21) air-conditioning group's polymerization model is set up
Air conditioner load is similar to traditional energy storage device characteristic, and electric energy can be stored in affiliated building in the form of heat energy In, the higher energy storage capacity of indoor temperature is smaller, and indoor temperature is lower, and energy storage capacity is bigger.Assuming that the comfort level scope of user is [Tmin, Tmax], indoor temperature is TmaxWhen energy storage capacity be 0, then indoor temperature be TinWhen energy storage capacity OinFor:
Oin=C (Tmax-Tin) (5)
The stored energy capacitance O of building is:
O=C (Tmax-Tmin) (6)
The state-of-charge SOC for defining air-conditioning is energy storage capacity OinWith stored energy capacitance O ratio:
When indoor temperature is maintained at TinWhen, the refrigerating capacity Q of air-conditioning can be obtained according to formula (1)ACFor:
Formula (8) is substituted into formula (4), air-conditioning power P is obtainedACFor:
Bring formula (7) into formula (9), arrange the power P for obtaining air-conditioningACRelation with the state-of-charge SOC of air-conditioning is:
PAC=α SOC+ β Tout+γ (10)
Wherein, tri- coefficient expressions of α, β, γ are as follows:
The state-of-charge SOC of air-conditioning excursion [0,1] is divided into N number of minizone, according to the charged of every air-conditioning State SOC, all air-conditionings are divided into each minizone, and the air-conditioning quantity counted in each minizone is respectively m1, m2,…,mi,…,mN, the state-of-charge of the air-conditioning in i-th of minizone is unified for SOCi
Setting up the air-conditioned polymerization model of institute in i-th of minizone is:
PiiSOCiiTouti (15)
Wherein, PiAir-conditioned aggregate power in for i-th minizone;αi_k、βi_kAnd γi_kRespectively i-th cell α, β and γ of interior kth platform air-conditioning.
(22) it polymerize air conditioner load peak regulation Potential Evaluation
The total polymerization power P of whole air-conditioning group is tried to achieve according to formula (15)totalFor:
When outdoor temperature keeps constant, in i-th of minizone air-conditioned state integrated regulation to j-th of minizone When aggregate power changes delta Pi-jFor:
ΔPi-ji(SOCj-SOCi) (20)
In the case where comfort level is interval necessarily, the state-of-charge SOC of air conditioner load depends primarily on indoor air temperature in air conditioned building, Because indoor air temperature in air conditioned building is time-varying rather than mutation, therefore polymerization air conditioner load SOC is not equally mutation, i.e., i-th The air-conditioned state integrated regulation of institute is to during j-th of minizone in minizone, and polymerization air conditioner load has an electric discharge Process, electric discharge duration be:
In formula, TinAnd T (i)in(j) it is respectively i-th of minizone and the indoor temperature corresponding to j-th of minizone, with lotus The relation of electricity condition is as follows:
Tin(i)=Tmax-SOCi(Tmax-Tmin) (22)
Tin(j)=Tmax-SOCj(Tmax-Tmin) (23)
Assuming that polymerization air-conditioning regulation and control duration is more than the electric discharge duration of each polymerization air-conditioning, i.e., do not consider to polymerize the charged shape of air-conditioning Discharge process in state transition process, the stationary value of state-of-charge, then polymerize the maximum of air-conditioning corresponding to a meter and two intervals Controllable potentiality are:
Step (3):In ahead market, cost is dispatched as object function to minimize Utilities Electric Co., next day peak regulation is formulated The operation plan of period;
Assuming that having M Load aggregation business, the scheduling of next day air conditioner load is divided into T period, and (each period interval is Δ t Minute), compensation quotations of the Load aggregation business k (k=1,2 ..., M) in the t periods (t=1,2 ..., T) is μ (t, k), bid capacity For P (t, k).The system total load reduction of Utilities Electric Co. t periods is Preq(t) Load aggregation business k system vacancy, is distributed to For D (t, k).
Cost is dispatched as object function to minimize air conditioner load:
Constraints is as follows:
(a) Load aggregation business units limits
The peak regulation amount that system distributes to Load aggregation business is less than controllable capacity equal to Load aggregation business:
D(t,k)≤P(t,k) (26)
(b) peak-load regulating total amount is constrained
The peak regulation total capacity of all Load aggregation business is greater than the scheduling capacity assigned equal to higher level traffic department:
Step (4):In Real-Time Scheduling, Load aggregation business profit and users'comfort are considered, realize polymerization air-conditioning The optimal control of load;
(41) it polymerize air conditioner load optimal control object function
Traffic department of Utilities Electric Co. is assigned after operation plan to each Load aggregation business, and Load aggregation business is immediately to administrative sky Tone group is controlled.In air conditioner load control process, Load aggregation business need to take into account user and number one, and object function is most Bigization Load aggregation business's interests.
Assuming that the peak regulation vacancy that traffic department of Utilities Electric Co. distributes to Load aggregation business k in the t periods is D (t, k), with each sky It is polymerization index to adjust the state-of-charge SOC of load, and Load aggregation business is administered into air conditioner load is polymerized to N number of air-conditioning polymerization Body, then the actual peak capacity that t period Load aggregation business k is provided is:
In formula, Δ SOCiFor the polymeric state-of-charge adjustment amount of i-th of air-conditioning of t periods.
Then t period Load aggregation business k actual peak regulation amount and operation plan deviation is:
E (t, k)=D (t, k)-G (t, k) (29)
Load aggregation business adjusts power demand according to the operation plan issued, and Utilities Electric Co. is then according to Load aggregation business's Implementation status is settled accounts, and actual clearing price is the highest quotation μ of all bid winners in each periodmax(t).In order to Scheduling deviation is reduced as far as possible and reduces the scheduling cost of Utilities Electric Co., when Load aggregation business is when exerting oneself more than operation plan, Settled accounts according to operation plan;When exerting oneself less than operation plan, settled accounts according to actual reduction;But if dispatching deviation exceedes maximum Value δmaxWhen, then Utilities Electric Co. will be imposed a fine Load aggregation business, be γ beyond fractional unit electricity fine rate.Then bear Lotus polymerization business k income F1For:
In formula, δ (t, k)=max { 0, e (t, k)-δmax}。
In addition, Load aggregation business needs to pay reimbursement for expenses to administrative air conditioner user, unit quantity of electricity compensation rate is r, then The reimbursement for expenses F that Load aggregation business k is paid2For:
To maximize the profit F of Load aggregation business as object function:
Max F (k)=F1(k)-F2(k) (32)
(42) it polymerize air conditioner load optimal control constraints
(a) Load aggregation business units limits
Influenceed by air-conditioning condensate regulation and control potentiality, actually exerting oneself for Load aggregation business needs to meet:
In formula,Polymerize air-conditioning for the t periods is in outdoor temperatureWhen maximum cut down power.
(b) state-of-charge is constrained
Constrained by human comfort, state-of-charge SOC span is [0,1], therefore, state-of-charge constraints For:
0≤SOCi(t)≤1 (34)
In formula, SOCi(t) it is the t periods polymeric SOC of i-th of air-conditioning.
It should be noted that above-described embodiment, not for limiting protection scope of the present invention, in above-mentioned technical proposal On the basis of made equivalents or replacement each fall within the scope that the claims in the present invention are protected.

Claims (7)

1. a kind of peak regulation control method based on air-conditioning polymerization model, it is characterised in that the control method comprises the following steps:
(1) load model of single air conditioner is set up according to conservation of energy principle and operation of air conditioner characteristic;
(2) United Dispatching and control are carried out to air-conditioning group by Load aggregation business, sets up the polymerization model of air-conditioning group, and assess poly- Close the peak regulation potentiality of air conditioner load;
(3) in ahead market, cost is dispatched as object function to minimize Utilities Electric Co., the scheduling of peak regulation period next day is formulated Plan;
(4) in Real-Time Scheduling, consider Load aggregation business profit and users'comfort, realize the optimization of polymerization air conditioner load Control.
2. the peak regulation control method according to claim 1 based on air-conditioning polymerization model, it is characterised in that the step (1) load model of single air conditioner is set up according to conservation of energy principle and operation of air conditioner characteristic, following steps are specifically included:
(11) the equivalent heat parameter model of convertible frequency air-conditioner load is expressed as follows:
<mrow> <mi>C</mi> <mfrac> <mrow> <msub> <mi>dT</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <mi>R</mi> </mfrac> <mo>&amp;lsqb;</mo> <msub> <mi>T</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>-</mo> <msub> <mi>Q</mi> <mrow> <mi>A</mi> <mi>C</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula, Tin(t) it is the indoor temperature of t, DEG C;Tout(t) it is the outdoor temperature of t, DEG C;QAC(t) it is t Air conditioner refrigerating amount, kW;R is air-conditioned room equivalent thermal resistance, Ω;C is the equivalent thermal capacitance of air-conditioned room, F;
(12) during convertible frequency air-conditioner work, with the increase of frequency, the refrigerating capacity and electrical power of convertible frequency air-conditioner all will increases, frequency Relation between refrigerating capacity, electrical power is as follows:
QAC(t)=af (t)+b (2)
PAC(t)=nf (t)+m (3)
In formula:PACRepresent the refrigeration work consumption of air-conditioner set, kW;F represents the power of frequency converting air-conditioner compressor, Hz;N, m represent power Constant coefficient;QACThe refrigerating capacity of convertible frequency air-conditioner is represented, a, b represent refrigerating capacity constant coefficient;
(13) the then power P of air-conditioningACWith the refrigerating capacity Q of air-conditioningACBetween relation be:
<mrow> <msub> <mi>Q</mi> <mrow> <mi>A</mi> <mi>C</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mi>a</mi> <mi>n</mi> </mfrac> <msub> <mi>P</mi> <mrow> <mi>A</mi> <mi>C</mi> </mrow> </msub> <mo>+</mo> <mfrac> <mrow> <mi>n</mi> <mi>b</mi> <mo>-</mo> <mi>m</mi> <mi>a</mi> </mrow> <mi>n</mi> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
3. the peak regulation control method according to claim 2 based on air-conditioning polymerization model, it is characterised in that the step (2) comprise the following steps:
(21) air-conditioning group's polymerization model is set up;
(22) it polymerize air conditioner load peak regulation Potential Evaluation.
4. the peak regulation control method according to claim 3 based on air-conditioning polymerization model, it is characterised in that the step (21) air-conditioning group's polymerization model is set up specific as follows, it is assumed that the comfort level scope of user is [Tmin,Tmax], indoor temperature is Tmax When energy storage capacity be 0, then indoor temperature be TinWhen energy storage capacity OinFor:
Oin=C (Tmax-Tin); (5)
The stored energy capacitance O of building is:
O=C (Tmax-Tmin);(6) the state-of-charge SOC for defining air-conditioning is energy storage capacity OinWith stored energy capacitance O ratio:
<mrow> <mi>S</mi> <mi>O</mi> <mi>C</mi> <mo>=</mo> <mfrac> <msub> <mi>O</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mi>O</mi> </mfrac> <mo>=</mo> <mfrac> <mrow> <msub> <mi>T</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>T</mi> <mi>max</mi> </msub> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </mfrac> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
When indoor temperature is maintained at TinWhen, the refrigerating capacity Q of air-conditioning can be obtained according to formula (1)ACFor:
<mrow> <msub> <mi>Q</mi> <mrow> <mi>A</mi> <mi>C</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mi>R</mi> </mfrac> <mrow> <mo>(</mo> <msub> <mi>T</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow> 1
Formula (8) is substituted into formula (4), air-conditioning power P is obtainedACFor:
<mrow> <msub> <mi>P</mi> <mrow> <mi>A</mi> <mi>C</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mi>n</mi> <mrow> <mi>a</mi> <mi>R</mi> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>T</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mrow> <mi>a</mi> <mi>m</mi> <mo>-</mo> <mi>n</mi> <mi>b</mi> </mrow> <mi>a</mi> </mfrac> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
Bring formula (7) into formula (9), arrange the power P for obtaining air-conditioningACRelation with the state-of-charge SOC of air-conditioning is:
PAC=α SOC+ β Tout+γ; (10)
Wherein, tri- coefficient expressions of α, β, γ are as follows:
<mrow> <mi>&amp;alpha;</mi> <mo>=</mo> <mfrac> <mrow> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>T</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>T</mi> <mi>min</mi> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <mi>a</mi> <mi>R</mi> </mrow> </mfrac> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>&amp;beta;</mi> <mo>=</mo> <mfrac> <mi>n</mi> <mrow> <mi>a</mi> <mi>R</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>12</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>&amp;gamma;</mi> <mo>=</mo> <mfrac> <mrow> <mo>-</mo> <msub> <mi>nT</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>+</mo> <mi>a</mi> <mi>m</mi> <mi>R</mi> <mo>-</mo> <mi>n</mi> <mi>b</mi> <mi>R</mi> </mrow> <mrow> <mi>a</mi> <mi>R</mi> </mrow> </mfrac> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>13</mn> <mo>)</mo> </mrow> </mrow>
The state-of-charge SOC of air-conditioning excursion [0,1] is divided into N number of minizone, according to the state-of-charge of every air-conditioning SOC, all air-conditionings are divided into each minizone, and the air-conditioning quantity counted in each minizone is respectively m1,m2,…, mi,…,mN, the state-of-charge of the air-conditioning in i-th of minizone is unified for SOCi
<mrow> <msub> <mi>SOC</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mi>N</mi> </mfrac> <mi>i</mi> <mo>-</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>N</mi> </mrow> </mfrac> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>14</mn> <mo>)</mo> </mrow> </mrow>
Setting up the air-conditioned polymerization model of institute in i-th of minizone is:
PiiSOCiiTouti; (15)
<mrow> <msub> <mi>&amp;alpha;</mi> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>&amp;alpha;</mi> <mrow> <mi>i</mi> <mo>_</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>&amp;alpha;</mi> <mrow> <mi>i</mi> <mo>_</mo> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&amp;alpha;</mi> <mrow> <mi>i</mi> <mo>_</mo> <mi>k</mi> </mrow> </msub> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&amp;alpha;</mi> <mrow> <mi>i</mi> <mo>_</mo> <msub> <mi>m</mi> <mi>i</mi> </msub> </mrow> </msub> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>16</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>&amp;beta;</mi> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>&amp;beta;</mi> <mrow> <mi>i</mi> <mo>_</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>&amp;beta;</mi> <mrow> <mi>i</mi> <mo>_</mo> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&amp;beta;</mi> <mrow> <mi>i</mi> <mo>_</mo> <mi>k</mi> </mrow> </msub> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&amp;beta;</mi> <mrow> <mi>i</mi> <mo>_</mo> <msub> <mi>m</mi> <mi>i</mi> </msub> </mrow> </msub> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>17</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>&amp;gamma;</mi> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>&amp;gamma;</mi> <mrow> <mi>i</mi> <mo>_</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>&amp;gamma;</mi> <mrow> <mi>i</mi> <mo>_</mo> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&amp;gamma;</mi> <mrow> <mi>i</mi> <mo>_</mo> <mi>k</mi> </mrow> </msub> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&amp;gamma;</mi> <mrow> <mi>i</mi> <mo>_</mo> <msub> <mi>m</mi> <mi>i</mi> </msub> </mrow> </msub> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>18</mn> <mo>)</mo> </mrow> </mrow>
Wherein, PiAir-conditioned aggregate power in for i-th minizone;αi_k、βi_kAnd γi_kIn respectively i-th minizone α, β and γ of kth platform air-conditioning.
5. the peak regulation control method according to claim 4 based on air-conditioning polymerization model, it is characterised in that the step (22) it polymerize air conditioner load peak regulation Potential Evaluation, it is specific as follows,
The total polymerization power P of whole air-conditioning group is tried to achieve according to formula (15)totalFor:
<mrow> <msub> <mi>P</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> <mi>l</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <msub> <mi>P</mi> <mi>i</mi> </msub> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>19</mn> <mo>)</mo> </mrow> </mrow>
When outdoor temperature keeps constant, in i-th of minizone air-conditioned state integrated regulation to during j-th of minizone Aggregate power changes delta Pi-jFor:
ΔPi-ji(SOCj-SOCi); (20)
In the case where comfort level is interval necessarily, the state-of-charge SOC of air conditioner load depends primarily on indoor air temperature in air conditioned building, due to Indoor air temperature in air conditioned building is time-varying rather than mutation, therefore polymerization air conditioner load SOC is not equally mutation, i.e., i-th cell In the air-conditioned state integrated regulation of institute to during j-th of minizone, there is a discharge process in polymerization air conditioner load, Electric discharge duration be:
<mrow> <msubsup> <mi>t</mi> <mrow> <mi>i</mi> <mo>-</mo> <mi>j</mi> </mrow> <mrow> <mi>d</mi> <mi>i</mi> <mi>s</mi> <mi>c</mi> <mi>h</mi> <mi>arg</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mi>R</mi> <mi>C</mi> <mo>&amp;CenterDot;</mo> <mi>l</mi> <mi>n</mi> <mfrac> <mrow> <msub> <mi>T</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>Q</mi> <mrow> <mi>A</mi> <mi>C</mi> </mrow> </msub> <mo>&amp;CenterDot;</mo> <mi>R</mi> </mrow> <mrow> <msub> <mi>T</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>Q</mi> <mrow> <mi>A</mi> <mi>C</mi> </mrow> </msub> <mo>&amp;CenterDot;</mo> <mi>R</mi> </mrow> </mfrac> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>21</mn> <mo>)</mo> </mrow> </mrow>
In formula, TinAnd T (i)in(j) it is respectively i-th of minizone and the indoor temperature corresponding to j-th of minizone, with charged shape The relation of state is as follows:
Tin(i)=Tmax-SOCi(Tmax-Tmin); (22)
Tin(j)=Tmax-SOCj(Tmax-Tmin); (23)
Assuming that polymerization air-conditioning regulation and control duration is more than the electric discharge duration of each polymerization air-conditioning, i.e., do not consider that polymerization air-conditioning state-of-charge turns Discharge process during change, the stationary value of state-of-charge, then polymerize the maximum adjustable of air-conditioning corresponding to a meter and two intervals Controlling potentiality is:
<mrow> <msup> <mi>P</mi> <mrow> <mi>d</mi> <mi>o</mi> <mi>w</mi> <mi>n</mi> </mrow> </msup> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <mrow> <mo>(</mo> <msub> <mi>SOC</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>SOC</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>24</mn> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
6. the peak regulation control method according to claim 5 based on air-conditioning polymerization model, it is characterised in that the step (3) in ahead market, cost is dispatched as object function to minimize Utilities Electric Co., the scheduling meter of peak regulation period next day is formulated Draw, specifically include following steps:
Assuming that having M Load aggregation business, the scheduling of next day air conditioner load is divided into T period, and each period interval is t points of Δ Clock, compensation quotations of the Load aggregation business k (k=1,2 ..., M) in the t periods (t=1,2 ..., T) is μ (t, k), and bid capacity is P (t,k).The system total load reduction of Utilities Electric Co. t periods is Preq(t) the system vacancy for, distributing to Load aggregation business k is D (t,k)。
Cost is dispatched as object function to minimize air conditioner load:
<mrow> <mi>F</mi> <mo>=</mo> <mi>m</mi> <mi>i</mi> <mi>n</mi> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>t</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>T</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <mi>&amp;mu;</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mi>D</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>25</mn> <mo>)</mo> </mrow> </mrow>
Constraints is as follows:
(a) Load aggregation business units limits
The peak regulation amount that system distributes to Load aggregation business is less than controllable capacity equal to Load aggregation business:
D(t,k)≤P(t,k); (26)
(b) peak-load regulating total amount is constrained
The peak regulation total capacity of all Load aggregation business is greater than the scheduling capacity assigned equal to higher level traffic department:
<mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <mi>D</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;GreaterEqual;</mo> <msup> <mi>P</mi> <mrow> <mi>r</mi> <mi>e</mi> <mi>q</mi> </mrow> </msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>27</mn> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
7. the peak regulation control method according to claim 6 based on air-conditioning polymerization model, it is characterised in that the step (4) in, in Real-Time Scheduling, consider Load aggregation business profit and users'comfort, realize the optimization of polymerization air conditioner load Control is specific as follows:
(41) it polymerize air conditioner load optimal control object function;
Traffic department of Utilities Electric Co. is assigned after operation plan to each Load aggregation business, and Load aggregation business is immediately to administrative air-conditioning group It is controlled, in air conditioner load control process, Load aggregation business need to take into account user and number one, and object function is maximization Load aggregation business's interests;
Assuming that the peak regulation vacancy that traffic department of Utilities Electric Co. distributes to Load aggregation business k in the t periods is D (t, k), it is negative with each air-conditioning The state-of-charge SOC of lotus is polymerization index, and Load aggregation business is administered into air conditioner load and is polymerized to N number of air-conditioning condensate, then t The actual peak capacity that period Load aggregation business k is provided is:
<mrow> <mi>G</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <msub> <mi>&amp;alpha;</mi> <mi>i</mi> </msub> <msub> <mi>&amp;Delta;SOC</mi> <mi>i</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>28</mn> <mo>)</mo> </mrow> </mrow>
In formula, Δ SOCiFor the polymeric state-of-charge adjustment amount of i-th of air-conditioning of t periods;
Then t period Load aggregation business k actual peak regulation amount and operation plan deviation is:
E (t, k)=D (t, k)-G (t, k) (29)
Load aggregation business adjusts power demand according to the operation plan issued, and Utilities Electric Co. is then according to the execution of Load aggregation business Situation is settled accounts, and actual clearing price is the highest quotation μ of all bid winners in each periodmax(t);In order to the greatest extent may be used Scheduling deviation, which can be reduced, simultaneously reduces the scheduling cost of Utilities Electric Co., when Load aggregation business is when exerting oneself more than operation plan, according to Operation plan is settled accounts;When exerting oneself less than operation plan, settled accounts according to actual reduction;But if dispatching deviation exceedes maximum δmaxWhen, then Utilities Electric Co. will be imposed a fine Load aggregation business, be γ beyond fractional unit electricity fine rate, then load It polymerize business k income F1For:
<mrow> <msub> <mi>F</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>t</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>T</mi> </munderover> <msub> <mi>&amp;mu;</mi> <mi>max</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mi>D</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mi>&amp;Delta;</mi> <mi>t</mi> </mrow> </mtd> <mtd> <mrow> <mi>G</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;GreaterEqual;</mo> <mi>D</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>t</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>T</mi> </munderover> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;mu;</mi> <mi>max</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mi>G</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>-</mo> <mi>&amp;gamma;</mi> <mo>&amp;times;</mo> <mi>&amp;delta;</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mi>&amp;Delta;</mi> <mi>t</mi> </mrow> </mtd> <mtd> <mrow> <mi>G</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&lt;</mo> <mi>D</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>30</mn> <mo>)</mo> </mrow> </mrow>
In formula, δ (t, k)=max { 0, e (t, k)-δmax}。
In addition, Load aggregation business needs to pay reimbursement for expenses to administrative air conditioner user, unit quantity of electricity compensation rate is r, then load It polymerize the reimbursement for expenses F that business k is paid2For:
<mrow> <msub> <mi>F</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>r</mi> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>t</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>T</mi> </munderover> <mi>G</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mi>&amp;Delta;</mi> <mi>t</mi> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>31</mn> <mo>)</mo> </mrow> </mrow>
To maximize the profit F of Load aggregation business as object function:
Max F (k)=F1(k)-F2(k) (32)
(42) it polymerize air conditioner load optimal control constraints;
(a) Load aggregation business units limits
Influenceed by air-conditioning condensate regulation and control potentiality, actually exerting oneself for Load aggregation business needs to meet:
<mrow> <mi>G</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;le;</mo> <msup> <mi>P</mi> <mrow> <mi>d</mi> <mi>o</mi> <mi>w</mi> <mi>n</mi> </mrow> </msup> <mrow> <mo>(</mo> <msubsup> <mi>T</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> <mi>t</mi> </msubsup> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>33</mn> <mo>)</mo> </mrow> </mrow>
In formula,Polymerize air-conditioning for the t periods is in outdoor temperatureWhen maximum cut down power;
(b) state-of-charge is constrained
Constrained by human comfort, state-of-charge SOC span is [0,1], and therefore, state-of-charge constraints is:
0≤SOCi(t)≤1 (34)
In formula, SOCi(t) it is the t periods polymeric SOC of i-th of air-conditioning.
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