A kind of power grid energy storage system capacity design method
Technical field
The present invention relates to the optimization method of energy storage system capacity that cooperation generator completion AGC required by task is wanted, Yi Jiyun
Power distribution and coordination approach during row between generator and energy-storage system belong to electric system optimization computation technical field.
Background technology
The imbalance of electric system active power can cause system frequency to generate offset, and frequency shift (FS) is excessive, can be to being
The stabilization of system constitutes a threat to.In order to which FREQUENCY CONTROL in the variation range of permission, to be needed to carry out FREQUENCY CONTROL to electric system.
The frequency modulation frequency modulation of electric system by frequency modulator by the frequency retrieval of system to rated value, while restore interregional exchange work(
Rate, frequency modulation frequency modulation are also referred to as Automatic Generation Control (Automatic Generation Control, AGC).
The random loads such as the large-scale grid connection of the generations of electricity by new energy such as wind-power electricity generation, photovoltaic generation and electric vehicle connect
Enter, increase the randomness and fluctuation of power generation and load in electric system.Correspondingly, to maintain active power balance and frequency
Stablize, it is desirable that generator has the frequency regulation capacity of bigger and faster power climbing rate.First, frequency regulation capacity and frequently climbing
Operation increases the cost of generator O&M;Secondly it participates in frequency modulation and prevents generator from operating in the highest operating point of efficiency,
And then lead to the decline of generating efficiency, produce additional cost;Furthermore even if there is enough frequency regulation capacities, generator is limited
Climbing capacity can not also guarantee timely to keep up with the variation of load.Different from generator, energy-storage system often has quick
Climbing capacity, and the frequency regulation capacity of its rated capacity can be provided twice as.At the same time, even if operating in non-full load condition,
Energy-storage system also has very high energy conversion efficiency.Therefore, energy-storage system is highly suitable for electric system frequency modulation.
Invention content
The present invention proposes cooperation generator and completes the optimization method of energy storage system capacity that AGC required by task is wanted, for
Energy-storage system is used for the problem of electric system frequency modulation frequency modulation, using wave filter by AGC power instructions in generator and energy-storage system
Between be allocated.The average daily cost of frequency modulation task is performed as target to minimize generator and energy-storage system on this basis,
The Optimized model of frequency regulation capacity is established, the minimum optimal frequency regulation capacity of total average daily cost is obtained by optimizing filtering parameter.Together
When, power distribution and coordination approach when the present invention proposes operation between generator and energy-storage system, according to respective frequency modulation
Ability is adjusted frequency modulation task.
Cooperation generator proposed by the present invention completes the optimization method of energy storage system capacity that AGC required by task is wanted, including
Following steps:
(1) frequency modulation task is distributed
Traditional generator Ramp Rate is relatively slow, is suitably executed and changes relatively slow power instruction, and energy storage system
The output power of system can quickly change, it is thus possible to which timely response changes comparatively faster power instruction.It therefore can be with
Original power instruction is filtered using wave filter, generator performs the power instruction of low frequency part, and energy-storage system performs
The power instruction of high frequency section.
AGC power instructions by isolating low frequency component and high fdrequency component after wave filter, be respectively allocated to generator and
Energy-storage system.Original AGC power instruction sequences are denoted as PAGC, the low frequency component and high fdrequency component isolated are denoted as respectivelyThree meets the relationship in formula (1-1).
Using low-pass first order filter, k momentBetween frequency domain relationship such as formula (1-2), time domain
Relationship such as formula (1-3), wherein T are filter time constant, and △ is power samples interval.
α=T/ (T+ △), α ∈ [0,1] are enabled, formula (1-3) is represented by formula (1-4).
(2) frequency regulation capacity calculates
After given filter coefficient alpha, the energy-storage system power and energy for completing odd-numbered day frequency modulation required by task may be calculated
Capacity and generator frequency regulation capacity.On this basis, for frequency modulation task not on the same day, a capacity sequence is accordingly calculated
Row can finally determine the frequency regulation capacity of the energy-storage system and generator under the α values according to this capacity sequence.
The energy-storage system odd-numbered day computational methods of frequency modulation power capacity are as follows:Assuming that the maximum charge-discharge electric power phase of energy-storage system
Deng counting the distribution of given AGC power instruction sequences, find out a performance number P on this basis and make it specific power sequence
Middle ratio is that the performance number of p1 (value is between 0-100%) is big, using performance number P as the power capacity of energy-storage systemThe value of p1 is bigger, then energy-storage system fm capacity is stronger, while cost is also higher.In reality, when continuing due to part
Between extremely short " peak power " presence, when p1 is close to 100%, power capacity can increased dramatically.Therefore, p1 is not recommended to take
The value of 100%, p1 need to be depending on P-p1 curves.The odd-numbered day frequency regulation capacity calculating process of generator is similar.
The energy-storage system odd-numbered day computational methods of frequency modulation energy capacity are as follows:According to obtained power capacity to AGC power
Instruction sequence carry out amplitude limit, it is ensured that AGC power instructions without departing from energy-storage system power output range, later according to amplitude limit after
AGC power instructions sequence calculates energy-storage system dump energy variable quantity sequence REL1.Value in REL1 is subtracted into minimum therein
Value, obtains a new sequence REL2.An energy value E is found out on this basis to be made it than ratio in REL2 to be p2 (values
Between 0-100%) residual energy magnitude it is big, using energy value E as the energy capacity E of energy-storage systemcap.Based on same
Reason, the value of p2 equally need to be depending on E-p2 curves.
The determining method of final frequency regulation capacity:According to the above method, can calculate successively to complete not AGC power on the same day
A series of capability values needed for instruction.A capability value is found out on this basis, is made it ratio in specific capacity sequence and (is taken for p3
Be worth between 0~100%) capability value it is big, using the capability value as frequency regulation capacity.
The power and energy capacity of energy-storage system and generator frequency regulation capacity are all decided by parameter, therefore need
α is optimized, to realize best economic benefit.
(3) frequency modulation economic cost analysis
It is common to complete frequency modulation task since energy-storage system and generator are as an entirety when carrying out Economic and Efficiency Analysis,
Therefore the frequency modulation total revenue obtained from grid company is constant.Therefore, in order to reach maximum economic benefit, totle drilling cost need to be made most
It is small.The financial cost of frequency modulation includes generator and energy-storage system two parts cost, give α, energy storage power capacity and energy capacity,
After the frequency regulation capacity of generator, the financial cost for completing daily frequency modulation required by task can be calculated successively, is finally obtained
Average daily cost.
The economic cost analysis of (3-1) generator frequency modulation
The cost that generator participates in frequency modulation comes from the following aspects:Climbing cost, the maintenance cost brought of abrasion and
The cost [1] that non-oepration at full load is brought.Generator needs to carry out frequently climbing operation, therefore can cause whole under agc mode
There is different degrees of decline in running body efficiency, leads to the increase of operating cost.At the same time, generator can be increased by participating in AGC
Abrasion, increase maintenance cost accordingly.Further, since need to provide certain power capacity participation AGC, generator
Operating point will deviate from optimized operation point, this decline that will also cause operational efficiency.Different costs is classified as two classes in this section:Frequently
The cost that the cost and operating point change that numerous operation is brought are brought, the maintenance cost that climbing cost, abrasion are brought can be attributed to
The cost that the cost rather than oepration at full load that frequent operation is brought are brought can be attributed to the cost that operating point change is brought, with
It is lower to calculate this two classes cost respectively.
1) cost that frequent operation is brought
Since the cost that frequent operation is brought can not be accurate to each time individually operation, it is contemplated herein that with AGC moulds
The additional cost p paid required for every MWh energy that generator generates due to climbing under formulafreq-opIt represents, unit is
$/MWh.Generator is calculating cost and its power variation correlation that duration internal cause frequent operation is brought, and works as power generation
This departmental cost is 0 when machine is operated under constant power mode.If the AGC power instructions of k moment generators are PG,AGC(k), then this
Individually increased cost is as shown in formula (1-5) for part, and abs () is takes absolute value function in formula, and fc1 () is to cost in formula
The calculating formula of c1 is specifically shown in unfolding calculation method thereafter.
2) cost that operating point change is brought
Generator operational efficiency declines after operating point deviates optimized operation point.Assuming that generator after participation AGC because transport
Extra cost is p caused by row point changesop-change, unit is $/MWh.The rated power of generator is denoted asPower
Operating point isIt providesFm capacity.The AGC power instructions of k moment generators are PG,AGC
(k), then individually increased cost is following formula for this part, and fc2 () is the calculating formula to cost c2 in formula, is specifically shown in exhibition thereafter
Open computational methods:
Generator participates in totle drilling cost cGThe summation of as above-mentioned cost c1 and c2.
The cost analysis of (3-2) energy-storage system
The discharging efficiency of energy-storage system is denoted as η+, charge efficiency is denoted as η-, the discharge power of k moment energy-storage systems isCharge power isDump energy is E (k), then the model of energy-storage system is:
Wherein,
The cost of energy-storage system comes from the following aspects:Power cost ppcs($/MW) and cost of energy pstorage($/
MWh).Power cost source derives from energy-storage units in power conversion device, cost of energy.
In formula, τ is PCS utilization rates, with PCS usage times divided by device lifetime TlifeIt represents, represents to press power cost
According in usage time conversion to calculating duration.For energy-storage units utilization rate, with discharge energy divided by energy capacity EcapAgain divided by
Cycle-index NcycleIt represents, represents cost of energy by energy usage degree conversion to calculating duration.
(4) stored energy capacitance Optimized model:
It is optimization aim by the average daily cost that minimum generator and energy-storage system participate in AGC, it can according to step (1)-(3)
To obtain following energy storage frequency regulation capacity Optimized model:
In formula (1-11), number of days lasting for simulation time N, c1(k)、c2(k)、cPCS(k)、cstorage(k) it is respectively kth
Every cost of its generator and energy-storage system, call(k) it is then generator and the average daily totle drilling cost of energy-storage system.Solution formula (1-
11) it can obtain optimal filter coefficient alpha.
Cooperation generator proposed by the present invention completes the optimization method of energy storage system capacity that AGC required by task is wanted, for
Energy-storage system is used for the problem of electric system frequency modulation frequency modulation, using wave filter by AGC power instructions in generator and energy-storage system
Between be allocated.The average daily cost of frequency modulation task is performed as target to minimize generator and energy-storage system on this basis,
Establish the Optimized model of frequency regulation capacity.Obtain total average daily minimum optimal frequency regulation capacity of cost by optimizing filtering parameter, for
The energy storage system capacity configuration that frequency modulation frequency modulation is carried out in cooperation generator provides optimal case.
Specific embodiment
The invention will be further described with the following Examples.
Embodiment:
1st, cooperation generator proposed by the present invention completes the optimization method of energy storage system capacity that AGC required by task is wanted, packet
Include following steps:
(1) frequency modulation task is distributed
Traditional generator Ramp Rate is relatively slow, is suitably executed and changes relatively slow power instruction, and energy storage system
The output power of system can quickly change, it is thus possible to which timely response changes comparatively faster power instruction.It therefore can be with
Original power instruction is filtered using wave filter, generator performs the power instruction of low frequency part, and energy-storage system performs
The power instruction of high frequency section.
AGC power instructions by isolating low frequency component and high fdrequency component after wave filter, be respectively allocated to generator and
Energy-storage system.Original AGC power instruction sequences are denoted as PAGC, the low frequency component and high fdrequency component isolated are denoted as respectivelyThree meets the relationship in formula (1-1).
Using low-pass first order filter, k momentBetween frequency domain relationship such as formula (1-2), time domain
Relationship such as formula (1-3), wherein T are filter time constant, and △ is power samples interval.
α=T/ (T+ △), α ∈ [0,1] are enabled, formula (1-3) is represented by formula (1-4).
(2) frequency regulation capacity calculates
After given filter coefficient alpha, the energy-storage system power and energy for completing odd-numbered day frequency modulation required by task may be calculated
Capacity and generator frequency regulation capacity.On this basis, for frequency modulation task not on the same day, a capacity sequence is accordingly calculated
Row can finally determine the frequency regulation capacity of the energy-storage system and generator under the α values according to this capacity sequence.
The energy-storage system odd-numbered day computational methods of frequency modulation power capacity are as follows:Assuming that the maximum charge-discharge electric power phase of energy-storage system
Deng counting the distribution of given AGC power instruction sequences, find out a performance number P on this basis and make it specific power sequence
Middle ratio is that the performance number of p1 (value is between 0-100%) is big, using performance number P as the power capacity of energy-storage systemThe value of p1 is bigger, then energy-storage system fm capacity is stronger, while cost is also higher.In reality, when continuing due to part
Between extremely short " peak power " presence, when p1 is close to 100%, power capacity can increased dramatically.Therefore, p1 is not recommended to take
The value of 100%, p1 need to be depending on P-p1 curves.The odd-numbered day frequency regulation capacity calculating process of generator is similar.
The energy-storage system odd-numbered day computational methods of frequency modulation energy capacity are as follows:According to obtained power capacity to AGC power
Instruction sequence carry out amplitude limit, it is ensured that AGC power instructions without departing from energy-storage system power output range, later according to amplitude limit after
AGC power instructions sequence calculates energy-storage system dump energy variable quantity sequence REL1.Value in REL1 is subtracted into minimum therein
Value, obtains a new sequence REL2.An energy value E is found out on this basis to be made it than ratio in REL2 to be p2 (values
Between 0-100%) residual energy magnitude it is big, using energy value E as the energy capacity E of energy-storage systemcap.Based on same
Reason, the value of p2 equally need to be depending on E-p2 curves.
The determining method of final frequency regulation capacity:According to the above method, can calculate successively to complete not AGC power on the same day
A series of capability values needed for instruction.A capability value is found out on this basis, is made it ratio in specific capacity sequence and (is taken for p3
Be worth between 0-100%) capability value it is big, using the capability value as frequency regulation capacity.
The power and energy capacity of energy-storage system and generator frequency regulation capacity are all decided by parameter, therefore need
α is optimized, to realize best economic benefit.
(3) frequency modulation economic cost analysis
It is common to complete frequency modulation task since energy-storage system and generator are as an entirety when carrying out Economic and Efficiency Analysis,
Therefore the frequency modulation total revenue obtained from grid company is constant.Therefore, in order to reach maximum economic benefit, totle drilling cost need to be made most
It is small.The financial cost of frequency modulation includes generator and energy-storage system two parts cost, give α, energy storage power capacity and energy capacity,
After the frequency regulation capacity of generator, the financial cost for completing daily frequency modulation required by task can be calculated successively, is finally obtained
Average daily cost.
The economic cost analysis of (3-1) generator frequency modulation
The cost that generator participates in frequency modulation comes from the following aspects:Climbing cost, the maintenance cost brought of abrasion and
The cost [1] that non-oepration at full load is brought.Generator needs to carry out frequently climbing operation, therefore can cause whole under agc mode
There is different degrees of decline in running body efficiency, leads to the increase of operating cost.At the same time, generator can be increased by participating in AGC
Abrasion, increase maintenance cost accordingly.Further, since need to provide certain power capacity participation AGC, generator
Operating point will deviate from optimized operation point, this decline that will also cause operational efficiency.Different costs is classified as two classes in this section:Frequently
The cost that the cost and operating point change that numerous operation is brought are brought, the maintenance cost that climbing cost, abrasion are brought can be attributed to
The cost that the cost rather than oepration at full load that frequent operation is brought are brought can be attributed to the cost that operating point change is brought, with
It is lower to calculate this two classes cost respectively.
1) cost that frequent operation is brought
Since the cost that frequent operation is brought can not be accurate to each time individually operation, it is contemplated herein that with AGC moulds
The additional cost p paid required for every MWh energy that generator generates due to climbing under formulafreq-opIt represents, unit is
$/MWh.Generator is calculating cost and its power variation correlation that duration internal cause frequent operation is brought, and works as power generation
This departmental cost is 0 when machine is operated under constant power mode.If the AGC power instructions of k moment generators are PG,AGC(k), then this
Individually increased cost is as shown in formula (1-5) for part, and abs () is the function that takes absolute value in formula.
2) cost that operating point change is brought
Generator operational efficiency declines after operating point deviates optimized operation point.Assuming that generator after participation AGC because transport
Extra cost is p caused by row point changesop-change, unit is $/MWh.The rated power of generator is denoted asPower
Operating point isIt providesFm capacity.The AGC power instructions of k moment generators are PG,AGC
(k), then individually increased cost is for this part:
Generator participates in totle drilling cost cGThe as summation of above-mentioned two cost.
The cost analysis of (3-2) energy-storage system
The discharging efficiency of energy-storage system is denoted as η+, charge efficiency is denoted as η-, the discharge power of k moment energy-storage systems isCharge power isDump energy is E (k), then the model of energy-storage system is:
Wherein,
The cost of energy-storage system comes from the following aspects:Power cost ppcs($/MW) and cost of energy pstorage($/
MWh).Power cost source derives from energy-storage units in power conversion device, cost of energy.
In formula, τ is PCS utilization rates, with PCS usage times divided by device lifetime TlifeIt represents, represents to press power cost
According in usage time conversion to calculating duration.For energy-storage units utilization rate, with discharge energy divided by energy capacity EcapAgain divided by
Cycle-index NcycleIt represents, represents cost of energy by energy usage degree conversion to calculating duration.
(4) stored energy capacitance Optimized model:
It is optimization aim by the average daily cost that minimum generator and energy-storage system participate in AGC, it can according to step (1)-(3)
To obtain following energy storage frequency regulation capacity Optimized model:
In formula (1-11), number of days lasting for simulation time N, c1(k)、c2(k)、cPCS(k)、cstorage(k) it is respectively kth
Every cost of its generator and energy-storage system, call(k) it is then generator and the average daily totle drilling cost of energy-storage system.Solution formula (1-
11) it can obtain optimal filter coefficient alpha.
Cooperation generator proposed by the present invention completes the optimization method of energy storage system capacity that AGC required by task is wanted, excellent
The problem of point is, electric system frequency modulation frequency modulation is used for for energy-storage system, using wave filter by AGC power instructions in generator and
It is allocated between energy-storage system.On this basis the average daily cost of frequency modulation task is performed to minimize generator and energy-storage system
For target, the Optimized model of frequency regulation capacity is established.The minimum optimal frequency modulation appearance of total average daily cost is obtained by optimizing filtering parameter
Amount, the energy storage system capacity configuration to be used to that generator to be coordinated to carry out frequency modulation frequency modulation provide optimal case.
Finally it should be noted that the above embodiments are merely illustrative of the technical solutions of the present invention rather than the present invention is protected
The limitation of range, although being explained in detail with reference to preferred embodiment to the present invention, those of ordinary skill in the art should manage
Solution, technical scheme of the present invention can be modified or replaced equivalently, without departing from technical solution of the present invention essence and
Range.