CN117277344A - Power optimization distribution control method for fan-water turbine combined frequency modulation system - Google Patents
Power optimization distribution control method for fan-water turbine combined frequency modulation system Download PDFInfo
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- CN117277344A CN117277344A CN202211729547.6A CN202211729547A CN117277344A CN 117277344 A CN117277344 A CN 117277344A CN 202211729547 A CN202211729547 A CN 202211729547A CN 117277344 A CN117277344 A CN 117277344A
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 title claims abstract description 98
- 238000005457 optimization Methods 0.000 title claims abstract description 32
- 238000000034 method Methods 0.000 title claims abstract description 14
- 238000005070 sampling Methods 0.000 claims abstract description 40
- ZZUFCTLCJUWOSV-UHFFFAOYSA-N furosemide Chemical compound C1=C(Cl)C(S(=O)(=O)N)=CC(C(O)=O)=C1NCC1=CC=CO1 ZZUFCTLCJUWOSV-UHFFFAOYSA-N 0.000 claims description 18
- 244000068988 Glycine max Species 0.000 claims description 6
- 230000001105 regulatory effect Effects 0.000 claims 2
- 230000000087 stabilizing effect Effects 0.000 claims 1
- 230000000694 effects Effects 0.000 abstract description 3
- 230000001932 seasonal effect Effects 0.000 description 3
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000004870 electrical engineering Methods 0.000 description 1
- 238000010248 power generation Methods 0.000 description 1
- 238000007665 sagging Methods 0.000 description 1
- MYVIATVLJGTBFV-UHFFFAOYSA-M thiamine(1+) chloride Chemical compound [Cl-].CC1=C(CCO)SC=[N+]1CC1=CN=C(C)N=C1N MYVIATVLJGTBFV-UHFFFAOYSA-M 0.000 description 1
Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
- H02J3/241—The oscillation concerning frequency
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
- H02J3/466—Scheduling the operation of the generators, e.g. connecting or disconnecting generators to meet a given demand
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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Abstract
The invention discloses a power optimization distribution control method of a fan-water turbine combined frequency modulation system, which is used for sampling the operation parameters of the fan-water turbine combined frequency modulation system at the moment k; constructing a fan-water turbine combined system optimization model according to the operation parameters, wherein the optimization model comprises an objective function, a control variable and a constraint condition thereof; the optimization result of the control variable is used for acting on the fan-water turbine combined system again, and the system state is updated; in particular by the reference value delta beta of the variation of the fan pitch angle in the control variable ref (k) And reference value delta P of water turbine power variation ref (k) And (4) re-acting on the fan-water turbine combined system, and updating the system state at the moment k+1 until the end. The invention not only improves the frequency modulation effect of the system, but also realizes the power of the blower and the water turbine from the economical aspect through the power optimization distribution model suitable for the blower and the water turbine combined frequency modulation systemIs a preferred allocation of (a).
Description
Technical Field
The invention belongs to the field of electrical engineering, and particularly relates to a power optimization distribution control method and system suitable for a fan-water turbine combined frequency modulation system.
Background
With the large number of new energy sources such as wind turbine generators and the like being connected into a power grid, the frequency stability of the system can be affected because the power generation equipment does not have inertia and primary frequency modulation capability for responding to the frequency change of the system, and the primary frequency modulation is carried out by independently relying on the traditional turbine generators, so that the frequency modulation requirement is difficult to meet due to limited frequency modulation capacity. In order to ensure the frequency stability of the system, most of the existing wind turbines already have certain frequency modulation capability.
Besides the wind power plant directly participating in grid frequency modulation, the wind turbine and the water turbine jointly participate in primary frequency modulation control and are paid more attention, and wind energy and water energy can be well complemented in characteristics. In the aspect of seasonal complementarity, the seasonal fluctuation of the hydropower output is large, but the intra-day fluctuation is smaller, and compared with hydropower, the seasonal fluctuation of wind power is much smaller, but the hourly level and daily level fluctuation of wind power are larger, and the fluctuation of wind power can be compensated by utilizing the complementarity of wind power and hydropower. Therefore, the system which considers the combined operation of wind power and water power has great significance for the stable operation of the power system.
However, due to the high adjustment cost of the water turbine, the economic cost of the fan-water turbine frequency modulation also needs to be considered when the fan-water turbine combined frequency modulation is carried out. Therefore, how to meet primary frequency modulation requirements and simultaneously achieve minimum combined frequency modulation cost of a fan and a water turbine has become a current key problem.
Disclosure of Invention
The invention aims to provide a power optimization distribution control method of a fan-water turbine combined frequency modulation system, which is used for calculating an optimization result of a control variable by a minimum value of an objective function and realizing that the fan-water turbine combined system participates in primary frequency modulation control.
The invention is realized by the following technical scheme:
a power optimization distribution control method of a fan-water turbine combined frequency modulation system comprises the following steps:
step 1: sampling the operation parameters of the fan-water turbine combined frequency modulation system at the moment k, including the position increment P of a speed regulator v (k) Output power variation delta P of traditional unit g (k) Variable delta P of output power of water turbine hydro (k) A fan pitch angle variation delta beta (k) and a fan output power variation delta P wind (k) The water turbine head state S (k), the output frequency variation delta f (k) and the load variation delta P on the alternating current bus load (k);
Step 2: constructing a fan-water turbine combined system optimization model according to the operation parameters, wherein the optimization model comprises an objective function, a control variable and a constraint condition thereof; the objective function is a unit time frequency modulation cost function C of a fan-water turbine combined system in a prediction time domain, and comprises a predicted value C of the frequency modulation cost of the wind turbine unit at the current sampling time k to the time k+i wind Predictive value C of the frequency modulation cost of the hydraulic turbine at the moment k+i and the current sampling moment k hydro (k+i|k), k+i representing the sampling instants in the prediction domain; the control variable of the objective function comprises a reference value delta beta of the variation of the fan pitch angle ref (k) And reference value delta P of water turbine power variation ref (k);
The constraint includes a power balance constraint P (k+i|k) =Δp that satisfies a primary frequency modulation requirement g (k+i|k)+ΔP wind (k+i|k)+ΔP hydro (k+i|k), wherein P (k+i|k) represents the absolute value of the load power on the AC bus at time k+i based on the current sampling time k, ΔP g (k+i|k) represents the predicted value of the current sampling time k to the conventional unit power at the time k+i, ΔP wind (k+i|k) represents a predicted value of the power of the wind turbine generator, ΔP hydro (k+i|k) represents the predicted value of the current sampling time k to the power of the water turbine at the time k+i;
step 3: calculating an optimization result of the control variable according to the minimum value of the objective function;
according to the control variable sequence [ delta beta ] in the control time domain ref (k),ΔP ref (k),Δβ ref (k+1),ΔP ref (k+1),……,Δβ ref (k+NC),ΔP ref (k+NC)]Solving a fan-water turbine combined system optimization model by using a linear optimization solver to obtain an optimal control variable sequence, wherein NC represents a control time domain;
step 4: the optimization result of the control variable is used for acting on the fan-water turbine combined system again, and the system state is updated;
in particular by the reference value delta beta of the variation of the fan pitch angle in the control variable ref (k) And reference value delta P of water turbine power variation ref (k) And (4) re-acting on the fan-water turbine combined system, and updating the system state at the moment k+1 until the end.
The constraint condition also comprises a water turbine device power variation constraint, a fan pitch angle variation constraint and a water turbine head state constraint;
the power variation of the water turbine device is aboutBeam is-P B ≤ΔP ref (k+i|k)≤P B Wherein ΔP ref (k+i|k) represents a predicted value of the current sampling time k to a reference value of the turbine power variation at the time k+i, P B Indicating the rated power of the water turbine;
the variation of the fan pitch angle is constrained to delta beta ref (k+i|k)≥-(β 0 -β min ),Δβ ref (k+i|k)≤(β max -β 0 );Δβ ref (k+ik) represents a predicted value of a reference value of the current sampling time k to the fan pitch angle variation at time k+i, β min Representing the minimum value of the pitch angle, beta max Represents the maximum value of pitch angle, beta 0 Representing an initial pitch angle;
the water turbine head state constraint is expressed as follows:
S min ≤S(k+i|k)≤S max
wherein S (k+ik) is a predicted value of the water head state at the current sampling time k to the time k+i, S min Is the minimum value of the water head state, S max Is the maximum value of the water head state.
In the step 2:
when |P (k+i|k) | < |ΔP g.max When the temperature is higher than the preset temperature, the primary frequency modulation of the thermal power unit is relied on to meet the frequency modulation requirement, and the fan-water turbine does not exert force;
when |P (k+i|k) | > |ΔP g.max When the frequency modulation performance is improved by utilizing the output of the fan-water turbine combined system, so that the fan-water turbine combined system meets the frequency modulation requirement;
maximum output variation Δp achieved at steady state g·max The expression is as follows:
ΔP g·max =(-1/R-D)·Δf ref
wherein R represents a difference adjustment coefficient of primary frequency modulation of the thermal power generating unit, and D represents a load adjustment coefficient.
Setting the final frequency stable value of primary frequency modulation reaching the requirement as +/-0.2 Hz, when P (k+i|k) > 0>At 0, Δf ref -0.2Hz; when P (k+i|k) < 0<At 0, Δf ref =0.2 Hz to reduce fan-turbine output costs.
In the step 2, the real-time predicted value of the primary frequency modulation power requirement of the system is expressed as follows:
P(k+i|k)=K·Δf(k+i|k)
wherein Δf (k+i|k) represents the real-time predicted value of the system frequency deviation Δf;
the primary frequency modulation equivalent droop coefficient K is expressed as follows:
wherein Δf ref (k+i|k) represents the set value of the steady-state frequency deviation at the current sampling time k to the time k+i required for the system primary frequency modulation.
Compared with the prior art, the invention can achieve the following beneficial technical effects:
1) In the aspect of frequency modulation effect, the invention adopts the technical means of taking primary frequency modulation power balance condition as constraint, so that the frequency modulation deviation is stabilized within the required range, and the frequency modulation speed is accelerated;
2) The power of the fan and the water turbine is further optimally distributed in the frequency modulation process by the technical means of minimum objective function, so that the frequency modulation cost of the fan and water turbine combined system is minimum, and the economical efficiency is met.
Drawings
Fig. 1 is a flow chart of a method for controlling the primary frequency modulation of a combined participation of a fan and a water turbine.
Detailed Description
The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings. All other embodiments and embodiments of the invention, based on the embodiments of the invention, which are obtained and claimed by a person of ordinary skill in the art without making any inventive effort, are within the scope of the invention.
As shown in fig. 1, the flow chart of the power optimization distribution control method suitable for the fan-water turbine combined frequency modulation system of the invention specifically comprises the following steps:
step (a)1: sampling the operation parameters of the fan-water turbine combined frequency modulation system at the moment k, including the position increment P of a speed regulator v (k) Output power variation delta P of traditional unit g (k) Variable delta P of output power of water turbine hydro (k) A fan pitch angle variation delta beta (k) and a fan output power variation delta P wind (k) The water turbine head state S (k), the output frequency variation delta f (k) and the load variation delta P on the alternating current bus load (k);
Step 2: according to the operation parameters, constructing an optimization model of the fan-water turbine combined system, wherein the optimization model comprises a control variable, an objective function and constraint conditions, and the objective function is a unit time frequency modulation cost function C of the fan-water turbine combined system in a prediction time domain and mainly comprises two parts, namely a current sampling time k and a current sampling time k (i=1, 2, …, np represent the last predicted time); predictive value C of frequency modulation cost of wind turbine generator set at moment wind Predictive value C of the frequency modulation cost of the hydraulic turbine at the moment k+i and the current sampling moment k hydro (k+i|k); the relevant control variables of the objective function comprise sampling time k and reference value delta beta of the variation of the fan pitch angle ref (k) And reference value delta P of water turbine power variation ref (k) The constraint conditions comprise primary frequency modulation power balance condition constraint meeting frequency modulation requirements;
according to the general standard, the absolute value of the steady-state frequency difference of the primary frequency modulation should not exceed 0.2Hz, if the system only depends on the primary frequency modulation of the thermal power unit, the maximum output variation delta P which can be achieved by the system in steady state is achieved on the basis of meeting the frequency deviation requirement g·max The expression is as follows:
ΔP g·max =(-1/R-D)·Δf ref wherein (Δf) ref =±0.2Hz)
Wherein R represents a difference adjustment coefficient of primary frequency modulation of the thermal power generating unit, and D represents a load adjustment coefficient.
When |P (k+i|k) | < |ΔP g.max When the current sampling time k is equal to the current sampling time k, the frequency modulation requirement can be met by only relying on primary frequency modulation of the thermal power unit, and the output of a fan-water turbine is not needed, wherein the current sampling time k is the load work on the alternating current bus at the time k+iAbsolute value of the rate.
When |P (k+i|k) | < |ΔP g.max When the frequency modulation performance is improved by properly outputting the fan-water turbine combined system, so that the fan-water turbine combined system achieves the frequency modulation requirement, and simultaneously, in order to reduce the output cost of the fan-water turbine as much as possible, setting the final frequency stability value of primary frequency modulation reaching the requirement to be +/-0.2 Hz, and when the frequency modulation is |P (k+i|k) |>At 0, Δf ref -0.2Hz; when |P (k+i|k) |<At 0, Δf ref =0.2Hz。
Regarding the fan-water turbine combined system and the power grid as a whole, when the output of the fan-water turbine system is required, designing a primary frequency modulation equivalent sagging coefficient K:
wherein Δf ref (k+i|k) represents the set value of the steady-state frequency deviation at the current sampling time k to the time k+i required for the system primary frequency modulation.
The expression of the real-time predicted value of the system primary frequency modulation power demand is as follows:
P(k+i|k)=K·Δf(k+i|k)
where Δf (k+i|k) represents the real-time prediction of the current sampling instant k versus the system frequency deviation Δf at time k+i.
In the present embodiment, the constraint includes a power balance constraint P (k+i|k) =Δp that satisfies the primary frequency modulation requirement g (k+i|k)+ΔP wind (k+i|k)+ΔP hydro (k+i|k), wherein P (k+i|k) represents a predicted value of the system primary power demand at the current sampling time k versus the k+i time ΔP g (k+i|k) represents the predicted value of the current sampling time k to the conventional unit power at the time k+i, ΔP wind (k+i|k) represents a predicted value of the current sampling time k to the power of the wind turbine at the time k+i, and ΔP hydro (k+i|k) represents the predicted value of the current sampling time k to the power of the water turbine at the time k+i; in this embodiment, the constraint conditions further include a water turbine device power variation constraint, a fan pitch angle variation constraint, and a water turbine head state constraint.
Specifically, the power variation constraint of the water turbine device: -P B ≤ΔP ref (k+i|k)≤P B Wherein ΔP ref (k+i|k) represents the current sampling time k versus the k+i time ΔP ref Predicted value of P B Indicating the rated power of the water turbine; fan pitch angle variation constraint: Δβ ref (k+i|k)≥-(β 0 -β min ),Δβ ref (k+i|k)≤(β max -β 0 ). Wherein Δβ ref (k+i|k) represents the current sampling time k versus the k+i time Δβ ref Predicted value of beta min Is the minimum value of pitch angle beta max Represents the maximum value of pitch angle, beta 0 Representing an initial pitch angle;
the water turbine head state constraint is expressed as follows:
S min ≤S(k+i|k)≤S max
wherein S (k+i|k) is a predicted value of the current sampling time k to the water head state at the time k+i, S min Is the minimum value of the water head state, S max Is the maximum value of the water head state.
Step 3: calculating an optimization result of the control variable according to the minimum value of the objective function;
under the objective function and constraint conditions described in the step 2, solving an optimization model by using a linear optimization solver, wherein the control variable in the obtained result comprises a control variable sequence [ delta beta ] for a period of time ref (k),ΔP ref (k),Δβ ref (k+1),ΔP ref (k+1),……,Δβ ref (k+NC),ΔP ref (k+NC)]Wherein NC represents a control time domain;
calculating the optimal control variable sequence [ delta beta ] ref (k),ΔP ref (k),Δβ ref (k+1),ΔP ref (k+1),……,Δβ ref (k+NC),ΔP ref (k+NC)];
Step 4: the optimization result of the control variable is used for acting on the fan-water turbine combined system again, and the system state is updated;
specifically, the pitch of the fan at the moment k in the control variable is usedReference value delta beta of angular variation ref (k) And reference value delta P of power variation of water turbine at k moment ref (k) And (4) re-acting on the fan-water turbine combined system, and updating the system state at the moment k+1 until the end.
Claims (5)
1. The power optimization distribution control method of the fan-water turbine combined frequency modulation system is characterized by comprising the following steps of:
step 1: sampling the operation parameters of the fan-water turbine combined frequency modulation system at the moment k, including the position increment P of a speed regulator v (k) Output power variation delta P of traditional unit g (k) Variable delta P of output power of water turbine hydro (k) A fan pitch angle variation delta beta (k) and a fan output power variation delta P wind (k) The water turbine head state S (k), the output frequency variation delta f (k) and the load variation delta P on the alternating current bus load (k);
Step 2: constructing a fan-water turbine combined system optimization model according to the operation parameters, wherein the optimization model comprises an objective function, a control variable and a constraint condition thereof; the objective function is a unit time frequency modulation cost function C of a fan-water turbine combined system in a prediction time domain, and comprises a predicted value C of the frequency modulation cost of the wind turbine unit at the current sampling time k to the time k+i wind Predictive value C of the frequency modulation cost of the hydraulic turbine at the moment k+i and the current sampling moment k hydro (k+i|k), k+i representing the sampling instants in the prediction domain; the control variable of the objective function comprises a reference value delta beta of the variation of the fan pitch angle ref (k) And reference value delta P of water turbine power variation ref (k);
The constraint includes a power balance constraint P (k+i|k) =Δp that satisfies a primary frequency modulation requirement g (k+i|k)+ΔP wind (k+i|k)+ΔP hydro (k+i|k), wherein P (k+i|k) represents the absolute value of the load power on the AC bus at time k+i based on the current sampling time k, ΔP g (k+i|k) represents the predicted value of the current sampling time k to the conventional unit power at the time k+i, ΔP wind (k+i|k) represents a predicted value of the power of the wind turbine generator, ΔP hydro (k+i|k) represents the predicted value of the current sampling time k to the power of the water turbine at the time k+i;
step 3: calculating an optimization result of the control variable according to the minimum value of the objective function;
according to the control variable sequence [ delta beta ] in the control time domain ref (k),ΔP ref (k),Δβ ref (k+1),ΔP ref (k+1),……,Δβ ref (k+NC),ΔP ref (k+NC)]Solving a fan-water turbine combined system optimization model by using a linear optimization solver to obtain an optimal control variable sequence, wherein NC represents a control time domain;
step 4: the optimization result of the control variable is used for acting on the fan-water turbine combined system again, and the system state is updated;
in particular by the reference value delta beta of the variation of the fan pitch angle in the control variable ref (k) And reference value delta P of water turbine power variation ref (k) And (4) re-acting on the fan-water turbine combined system, and updating the system state at the moment k+1 until the end.
2. The power optimization distribution control method of a fan-water turbine combined frequency modulation system according to claim 1, wherein the constraint conditions further comprise a water turbine device power variation constraint, a fan pitch angle variation constraint and a water turbine head state constraint;
the power variation constraint of the water turbine device is-P B ≤ΔP ref (k+ik)≤P B Wherein ΔP ref (k+ik) represents a predicted value of a reference value of the current sampling time k to the power variation of the turbine at the time k+i, P B Indicating the rated power of the water turbine;
the variation of the fan pitch angle is constrained to delta beta ref (k+ik)≥-(β 0 -β min ),Δβ ref (k+ik)≤(β max -β 0 );Δβ ref (k+ik) represents a predicted value of a reference value of the current sampling time k to the fan pitch angle variation at time k+i, β min Representing the minimum value of the pitch angle, beta max Indicating the maximum of pitch anglesValue, beta 0 Representing an initial pitch angle;
the water turbine head state constraint is expressed as follows:
S min ≤S(k+ik)≤S max
wherein S (k+ik) is a predicted value of the water head state at the current sampling time k to the time k+i, S min Is the minimum value of the water head state, S max Is the maximum value of the water head state.
3. The power optimizing distribution control method of a fan-water turbine combined frequency modulation system according to claim 1, wherein in the step 2:
when |P (k+i|k) | < |ΔP g.max When the temperature is higher than the preset temperature, the primary frequency modulation of the thermal power unit is relied on to meet the frequency modulation requirement, and the fan-water turbine does not exert force;
when |P (k+i|k) | > |ΔP g.max When the frequency modulation performance is improved by utilizing the output of the fan-water turbine combined system, so that the fan-water turbine combined system meets the frequency modulation requirement;
maximum output variation Δp achieved at steady state g·max The expression is as follows:
ΔP g·max =(-1/R-D)·Δf ref
wherein R represents a difference adjustment coefficient of primary frequency modulation of the thermal power generating unit, and D represents a load adjustment coefficient.
4. The power optimizing distribution control method of combined blower-water turbine frequency regulating system as set forth in claim 1, characterized in that the final frequency stabilizing value of primary frequency regulating to reach the requirement is set to + -0.2Hz, when P (k+i|k) > 0>At 0, Δf ref -0.2Hz; when P (k+i|k) < 0<At 0, Δf ref =0.2 Hz to reduce fan-turbine output costs.
5. The power optimizing distribution control method for fan-water turbine combined frequency modulation system according to claim 1, wherein in step 2, the real-time predicted value of the primary frequency modulation power requirement of the system is expressed as follows:
P(k+i|k)=K·Δf(k+i|k)
wherein Δf (k+i|k) represents the real-time predicted value of the system frequency deviation Δf;
the primary frequency modulation equivalent droop coefficient K is expressed as follows:
wherein Δf ref (k+i|k) represents the set value of the steady-state frequency deviation at the current sampling time k to the time k+i required for the system primary frequency modulation.
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