Disclosure of Invention
The invention aims to provide a decomposition and coordination method and a decomposition and coordination system for economic dispatching of an active power distribution network containing multiple micro-grids, so that the computational complexity and the computational dimension are reduced.
In order to achieve the purpose, the invention provides the following scheme:
a decomposition and coordination method for economic dispatching of an active power distribution network comprising multiple micro-grids comprises the following steps:
acquiring the output of each unit in an active power distribution network containing multiple micro-grids;
according to the output of each unit, the lowest total power generation cost of economic dispatching is taken as a target function, and the constraint of total load demand, total line loss balance and unit power in the active power distribution network of the multi-microgrid is taken as a constraint condition to establish an economic dispatching model of the active power distribution network containing the multi-microgrid;
decomposing the active power distribution network containing the multiple micro-grids to obtain an outer power distribution network and an inner micro-grid containing all micro-grids;
correcting the economic dispatching model of the active power distribution network comprising the multiple micro-grids by using the operating parameters of the outer power distribution network and the operating parameters of the inner micro-grid; the operating parameters of the outer distribution network comprise: the power generation and grid loss costs, the output power and the load of the power distribution network; the operating parameters of the inner microgrid comprise: the power generation and grid loss cost, output power and load of the microgrid;
determining a unit output result in the outer-layer power distribution network according to the corrected economic dispatching model of the active power distribution network; determining a unit output result in the inner-layer microgrid according to power transmission between the outer-layer power distribution network and the inner-layer microgrid; and decomposing and coordinating the economic dispatching of the active power distribution network comprising the multiple micro-grids according to the output result of the unit in the outer power distribution network and the output result of the unit in the inner micro-grid.
Optionally, the establishing of the economic dispatching model of the active power distribution network with multiple micro-networks according to the output of each unit by using the lowest total economic dispatching power generation cost as a target function and using the total load demand in the active power distribution network with multiple micro-networks, the constraint of total line loss balance and the constraint of unit power as constraint conditions specifically includes:
using a formula
Determining an objective function;
using formulas
Determining constraints of total load demand and total line loss balance in an active power distribution network of multiple micro-grids;
using the formula P i,min ≤P G,i ≤P i,max Determining the constraint of the unit power;
wherein F is the total power generation cost of economic dispatch, a i 、b i 、c i All are the power generation cost coefficient, P, of the unit i G,i The output of the unit i is the value; n is the total number of units, e i 、f i Is the valve point effect coefficient, P, of unit i G,i,min Is the lower active power output limit, P, of unit i D The total load demand of the system is directly acquired from the system; p LOSS For the total line loss in the system, P i,min Outputting the minimum power of the unit i; p is i,max For the unit i maximum workAnd (6) outputting the rate.
Optionally, the decomposing the active power distribution network including multiple micro grids to obtain an outer power distribution network and an inner micro grid including all micro grids specifically includes:
determining a connection point between a power distribution network and each micro-grid in the active power distribution network containing multiple micro-grids;
and decomposing the active power distribution network containing multiple micro-grids into an outer power distribution network and an inner micro-grid containing all micro-grids by using a connecting point.
Optionally, the correcting the economic dispatching model of the active power distribution network including multiple micro-grids by using the operation parameters of the outer power distribution network and the operation parameters of the inner micro-grid specifically includes:
using formulas
Determining a modified objective function;
using formulas
Determining the power balance constraint condition of the outer-layer power distribution network;
using formulas
Determining a power constraint condition of a connection point;
using the formula P Gmin,t ≤P G,t ≤P Gmax,t Determining output constraint conditions of conventional units of the power distribution network;
using the formula P T,min ≤P T ≤P T,max Determining a power transmission constraint condition from an upper power grid to a power distribution network;
using a formula
Determining a power balance constraint condition of the inner-layer microgrid;
using formulas
Determining output constraint conditions of partial distributed power supplies in the microgrid;
wherein, F
ADN For the generation and loss costs of the distribution network, F
m Cost of power generation and grid loss for micro-grids, N
MG Representing the number of microgrids, P
T For transmission power, P, of the upper grid to the distribution network
MG,m For transmitting electric power, P, to the electric network
D For the load power, P, of the distribution network
PL For the network loss of the distribution network, P
PV,m,v For the output power of the v-th photovoltaic in the mth microgrid in the active power distribution network,
for the photovoltaic minimum output power of the vth station in the mth micro-grid in the active power distribution network,
the maximum photovoltaic output power of the v-th station in the mth microgrid in the active power distribution network is obtained; p is
WT,m,w The power is output by the w-th fan in the mth microgrid in the active power distribution network,
the minimum output power of the w-th fan in the mth micro-grid in the active power distribution network,
the maximum output power of a w-th fan in the mth micro-grid in the active power distribution network; p is
DE,m,d The power is output by the d diesel engine in the m micro-grid in the active power distribution network,
the minimum output power of the d diesel engine in the mth microgrid in the active distribution network,
the maximum output power of the d-th diesel engine in the mth micro-grid in the active power distribution network is obtained; p
ESS,m,s For the s storage in the m micro-grid in the active power distribution networkThe power can be output by the device,
the minimum output power of the s energy storage device in the m micro-grid in the active power distribution network,
the maximum output power of the s energy storage device in the m micro-grid in the active power distribution network is obtained; p
MD,m Is expressed as the load in the mth microgrid, P
Gmin,t Minimum output, P, for unit i
Gmax,t Maximum output of unit i, P
T,min Minimum transmission power, P, for the upper grid to the distribution network
T,max And the maximum transmission power of the upper power grid to the power distribution network.
Optionally, the correcting the economic dispatching model of the active power distribution network including multiple micro-grids by using the operation parameters of the outer power distribution network and the operation parameters of the inner micro-grid specifically includes:
and (5) adopting a penalty function method to constrain the corrected objective function.
A decomposition and coordination system for economic dispatching of an active power distribution network with multiple micro-grids comprises:
the active power distribution network parameter acquisition module comprises a multi-microgrid system and is used for acquiring the output of each unit in the active power distribution network comprising the multi-microgrid system;
the model establishing module is used for establishing an economic dispatching model of the active power distribution network comprising the multiple micro-networks by taking the lowest total power generation cost of economic dispatching as a target function and taking the total load demand in the active power distribution network of the multiple micro-networks, the constraint of total line loss balance and the constraint of unit power as constraint conditions according to the output of each unit;
the system decomposition module is used for decomposing the active power distribution network containing the multiple micro-grids to obtain an outer power distribution network and an inner micro-grid containing all micro-grids;
the economic dispatching model correcting module is used for correcting the economic dispatching model of the active power distribution network containing the multiple micro-grids by using the operating parameters of the outer power distribution network and the operating parameters of the inner micro-grid; the operating parameters of the outer distribution network comprise: the power generation and grid loss costs, the output power and the load of the power distribution network; the operating parameters of the inner microgrid comprise: the power generation and grid loss cost, output power and load of the microgrid;
the economic dispatching module is used for determining the output result of the unit in the outer-layer power distribution network according to the corrected economic dispatching model of the active power distribution network; determining a unit output result in the inner-layer microgrid according to power transmission between the outer-layer power distribution network and the inner-layer microgrid; and decomposing and coordinating the economic dispatching of the active power distribution network comprising the multiple micro-grids according to the output result of the unit in the outer power distribution network and the output result of the unit in the inner micro-grid.
Optionally, the model building module specifically includes:
an objective function determination unit for utilizing a formula
Determining an objective function;
a power balance constraint determining unit for using the formula
Determining total load demand and total line loss balance constraints in an active power distribution network of multiple micro-grids;
a constraint determination unit of the power of the unit for utilizing the formula P i,min ≤P G,i ≤P i,max Determining the constraint of the unit power;
wherein F is the total power generation cost of economic dispatch, a i 、b i 、c i Are the power generation cost coefficient, P, of the unit i G,i The output of the unit i is the value; n is the total number of units, e i 、f i Is the valve point effect coefficient, P, of unit i G,i,min Is the lower active power output limit, P, of unit i D The total load demand of the system is directly acquired from the system; p LOSS For the total line loss in the system, P i,min Outputting the minimum power of the unit i; p i,max And outputting the maximum power of the unit i.
Optionally, the system decomposition module specifically includes:
the connection point determining unit is used for determining a connection point between the power distribution network and each micro-grid in the active power distribution network containing multiple micro-grids;
and the system decomposition unit is used for decomposing the active power distribution network containing the multiple micro-grids into an outer power distribution network and an inner micro-grid containing all micro-grids by using the connecting points.
Optionally, the economic dispatch model modification module specifically includes:
a modified objective function determination unit for using the formula
Determining a modified objective function;
the outer distribution network power balance constraint condition determination unit is used for utilizing a formula
Determining the power balance constraint condition of the outer-layer power distribution network;
a connection point power constraint condition determination unit for using a formula
Determining a power constraint condition of a connection point;
a power distribution network conventional unit output constraint condition determining unit for utilizing a formula P Gmin,t ≤P G,t ≤P Gmax,t Determining output constraint conditions of conventional units of the power distribution network;
a power transmission constraint condition determination unit for the upper layer power grid to the distribution network, for utilizing the formula P T,min ≤P T ≤P T,max Determining a power transmission constraint condition from an upper power grid to a power distribution network;
a power balance constraint condition determination unit of the inner micro-grid for utilizing a formula
Determining inner layer microelectricsPower balance constraints of the grid;
a unit for determining output constraint conditions of partial distributed power supplies in the microgrid, which is used for utilizing a formula
Determining the output constraint conditions of partial distributed power sources in the microgrid;
wherein, F
ADN For the generation and loss costs of the distribution network, F
m Cost of power generation and grid loss for micro-grids, N
MG Representing the number of microgrids, P
T For transmission power, P, of the upper grid to the distribution network
MG,m For transmitting electric power, P, to the electric network
D For the load power, P, of the distribution network
PL For the network loss of the distribution network, P
PV,m,v For the photovoltaic output power of the v-th station in the mth microgrid in the active power distribution network,
for the photovoltaic minimum output power of the vth station in the mth micro-grid in the active power distribution network,
the maximum photovoltaic output power of the v-th station in the mth microgrid in the active power distribution network is obtained; p
WT,m,w The power is output by the w-th fan in the mth micro-grid in the active power distribution network,
the minimum output power of the w-th fan in the mth micro-grid in the active power distribution network,
the maximum output power of a w-th fan in the mth micro-grid in the active power distribution network; p
DE,m,d The power is output by the d diesel engine in the mth microgrid in the active power distribution network,
the minimum output power of the d diesel engine in the mth micro-grid in the active power distribution network,
the maximum output power of the d-th diesel engine in the mth micro-grid in the active power distribution network is obtained; p
ESS,m,s The power is output by the s energy storage device in the m micro-grid in the active power distribution network,
the minimum output power of the s energy storage device in the m micro-grid in the active power distribution network,
the maximum output power of the s energy storage device in the m micro-grid in the active power distribution network is obtained; p
MD,m Is expressed as the load in the mth microgrid, P
Gmin,t Minimum output, P, of unit i
Gmax,t Maximum output of unit i, P
T,min Minimum transmission power, P, for the upper grid to the distribution network
T,max And the maximum transmission power of the upper power grid to the power distribution network.
Optionally, the economic dispatch model modification module specifically further includes:
and the penalty function constraint unit is used for constraining the corrected target function by adopting a penalty function method.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
according to the decomposition coordination method and system for economic dispatching of the active power distribution network comprising the multiple micro-grids, the active power distribution network comprising the multiple micro-grids is decomposed, and the calculation complexity and the calculation dimensionality are reduced. The active power distribution network system comprising multiple micro-networks is divided into an outer active power distribution network and an inner micro-network according to a connection point between the micro-networks and the active power distribution network, the power generation operation cost of the inner layer and the power generation operation cost of the outer layer are calculated respectively, the cost value of the inner layer is influenced through power transmission of the outer layer to the inner layer, meanwhile, the cost value of the inner layer influences the overall cost of the system, and finally the optimal cost of the system is achieved. The calculation method of the invention can lower the power generation operation cost.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The invention aims to provide a decomposition and coordination method and a decomposition and coordination system for economic dispatching of an active power distribution network containing multiple micro-grids, so that the computational complexity and the computational dimension are reduced.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Fig. 1 is a schematic flow chart of a decomposition and coordination method for economic dispatch of an active power distribution network including multiple micro-grids, which is provided by the present invention, and as shown in fig. 1, the decomposition and coordination method for economic dispatch of an active power distribution network including multiple micro-grids provided by the present invention includes:
s101, acquiring the output of each unit in an active power distribution network containing multiple micro-grids;
s102, according to the output of each unit, taking the lowest total power generation cost of economic dispatch as a target function, and taking the total load demand in the active power distribution network of the multiple micro-grids, the constraint of total line loss balance and the constraint of unit power as constraint conditions, establishing an economic dispatch model of the active power distribution network containing the multiple micro-grids;
s102 specifically includes:
because the conventional generator set has a valve point effect, namely, in the operation process of a steam turbine, the power loss is increased suddenly due to the sudden opening of a gas valve, the generated wiredrawing phenomenon can cause the fluctuation of an objective function, so that a cost function is changed into a nonlinear and non-convex function, and the objective function of the phenomenon can be described by adding a sinusoidal component on a secondary curve of the original objective function.
Using a formula
Determining an objective function;
using formulas
Determining total load demand and total line loss balance constraints in an active power distribution network of multiple micro-grids;
using the formula P i,min ≤P G,i ≤P i,max Determining the constraint of the unit power;
wherein F is the total power generation cost of economic dispatch, a i 、b i 、c i Are the power generation cost coefficient, P, of the unit i G,i The output of the unit i is the value; n is the total number of units, e i 、f i As a uniti valve point effect coefficient, P G,i,min Is the lower active power output limit, P, of unit i D The total load demand of the system is directly acquired from the system; p is LOSS For the total line loss in the system, P i,min Outputting the minimum power of the unit i; p i,max And outputting the maximum power of the unit i.
S103, decomposing the active power distribution network containing the multiple micro-grids to obtain an outer power distribution network and an inner micro-grid containing all micro-grids;
s103 specifically comprises the following steps:
determining a connection point between a power distribution network and each micro-grid in the active power distribution network containing multiple micro-grids;
and decomposing the active power distribution network containing the multiple micro-grids into an outer power distribution network and an inner micro-grid containing all micro-grids by using a connecting point.
S104, correcting the economic dispatching model of the active power distribution network comprising the multiple micro-grids by using the operation parameters of the outer power distribution network and the operation parameters of the inner micro-grid; the operating parameters of the outer distribution network comprise: the power generation and grid loss costs, the output power and the load of the power distribution network; the operation parameters of the inner micro-grid comprise: the power generation and grid loss cost, output power and load of the microgrid;
s104 specifically comprises the following steps:
using formulas
Determining a modified objective function;
using formulas
Determining the power balance constraint condition of the outer-layer power distribution network;
using formulas
Determining a power constraint condition of a connection point;
using the formula P Gmin,t ≤P G,t ≤P Gmax,t Determining a conventional machine of a power distribution networkAssembling a force constraint condition;
using the formula P T,min ≤P T ≤P T,max Determining a transmission constraint condition from an upper-layer power grid to a power distribution network;
using a formula
Determining a power balance constraint condition of the inner-layer microgrid;
using formulas
Determining the output constraint conditions of partial distributed power sources in the microgrid;
each unit in the outer-layer power grid and each distributed power source in the inner-layer power grid are corrected according to the formula (19);
calculating the difference delta between the current total output and the required output, and if the absolute value delta is larger than 0, correcting the output P of each distributed power supply of the current outer-layer power grid unit and the current inner-layer power grid by adopting a formula (20) j To satisfy the equilibrium condition; otherwise checking the corrected output P of the unit or the distributed power supply j If the output power P of the unit or the distributed power supply is out of limit, returning to judge the output power P of the unit or the distributed power supply again j Whether the upper and lower output limit constraints are met, if not, the output P of the unit or the distributed power supply is at present j The corrected output of the unit or the distributed power supply is obtained;
wherein, F
ADN For the generation and loss costs of the distribution network, F
m Cost of power generation and grid loss for micro-grids, N
MG Representing the number of microgrids, P
T For transmission power, P, of the upper grid to the distribution network
MG,m For transmitting electric power, P, to the electric network
D For the load power, P, of the distribution network
PL For the network loss of the distribution network, P
PV,m,v For the output power of the v-th photovoltaic in the mth microgrid in the active power distribution network,
for the photovoltaic minimum output power of the vth station in the mth micro-grid in the active power distribution network,
the maximum photovoltaic output power of the v-th station in the mth microgrid in the active power distribution network is obtained; p
WT,m,w The power is output by the w-th fan in the mth micro-grid in the active power distribution network,
the minimum output power of the w-th fan in the mth micro-grid in the active power distribution network,
the maximum output power of a w-th fan in the mth micro-grid in the active power distribution network; p
DE,m,d The power is output by the d diesel engine in the m micro-grid in the active power distribution network,
the minimum output power of the d diesel engine in the mth microgrid in the active distribution network,
the maximum output power of the d-th diesel engine in the mth micro-grid in the active power distribution network is obtained; p
ESS,m,s The power is output by the s energy storage device in the m micro-grid in the active power distribution network,
the minimum output power of the s energy storage device in the m micro-grid in the active power distribution network,
for the mth micro-electricity in the active power distribution networkThe maximum output power of the s-th energy storage device in the network; p
MD,m Is expressed as the load in the mth microgrid, P
Gmin,t Minimum output, P, of unit i
Gmax,t Maximum output of unit i, P
T,min Minimum transmission power, P, for the upper grid to the distribution network
T,max The maximum transmission power of the upper-layer power grid to the power distribution network.
Correcting the objective function of the outer-layer power grid, wherein the lowest system cost formed by the power generation operation cost of the outer-layer power grid and the power generation operation cost of the inner-layer power grid is the objective function:
the power generation operation cost of the outer layer power grid is F
ADN =f
T +f
G +f
PL The power generation operation cost of the inner layer power grid is
Wherein, F ADN Represents the power generation and network loss costs of the outer distribution network, F m Represents the power generation and grid loss cost of the inner microgrid, N MG Representing the number of microgrids, f G Representing the cost of electricity generation of a conventional unit in the distribution network, f PL Representing the loss cost of the distribution network, f T And the cost of transmitting power from the upper-layer power grid to the power distribution network.
In order to facilitate the unified scheduling of the power transmitted by the active power distribution network and the machine sets in the active power distribution network by the upper-layer power grid, the external power grid is regarded as a virtual power generation set scheduled by a power distribution network operation party, and the virtual power generation set and the plurality of machine sets in the power distribution network participate in economic scheduling together in form, so that f is
T Can be expressed as:
correcting the target function of the inner-layer power grid, wherein the target function is corrected by the inner-layer power grid according to the minimum power generation operation cost of each internal micro-power grid, and the target function is as follows:
minF m =f DE,m +f ESS,m +f OM,m +f pl,m 。
wherein f is DE,m Represents the diesel engine generating cost in the micro-grid m, f OM,m Representing the cost of operation and maintenance of each distributed power supply in the microgrid m, f pl,m Representing the m grid loss cost of the microgrid;
s104 further comprises:
and (5) adopting a penalty function method to constrain the corrected objective function.
Punishment items are respectively added into the objective functions of the outer layer power grid and the inner layer power grid, and the objective functions are changed into:
where σ is a penalty parameter that directs the search to a feasible solution.
The introduction of the sigma penalty function is beneficial to quickly truncate unsatisfied feasible solutions and quicken the determination of the optimal solution.
S105, determining a unit output result in the outer-layer power distribution network according to the corrected economic dispatching model of the active power distribution network; determining a unit output result in the inner-layer microgrid according to power transmission between the outer-layer power distribution network and the inner-layer microgrid; and decomposing and coordinating the economic dispatching of the active power distribution network comprising the multiple micro-grids according to the output result of the unit in the outer power distribution network and the output result of the unit in the inner micro-grid.
Fig. 2 is a diagram of an active power distribution network system with multiple microgrid systems illustrating a decomposition calculation process; in fig. 2, the active power distribution network system includes two micro power grids MG1 and MG2, and an outer power grid and an inner power grid are obtained after decomposition according to a connection point; calculating the connection point of the outer-layer power grid as a load point; for the inner-layer power grid, the connection point is used as a generator to participate in calculation; firstly, the power value (P) of the connection point is calculated and obtained in the outer layer power grid mg1 ,P mg2 ) And connecting point power value P mg1 And P mg2 Transmitting the power to the inner power grid, finishing the output scheduling of the internal power supply by the inner power grid according to the transmitted power value, and calculating the power generation operation cost (F) 1 ,F 2 ) And F is combined 1 And F 2 Returning to the outer-layer power grid, and updating the cost value of the outer-layer power grid;
the decomposition coordination calculation is implemented as follows, and the specific process is shown in fig. 3;
inputting parameters: inputting relevant parameters of all units and distributed power supplies in the power distribution network and the micro-grid and other relevant parameters;
and (3) system decomposition: decomposing the active power distribution network system containing multiple micro-grids by taking the connection point of each micro-grid and the active power distribution network as a decomposition point; the reason for selecting the connection points for system decomposition is that the connection points are connected with the power distribution network and the microgrid, so that the relationship among decomposition modules can be conveniently established after the system decomposition;
calculating an outer layer power grid: calculating the output power of each unit of the outer-layer power grid and the connection point of each unit of the outer-layer power grid and the micro-grid through an intelligent optimization algorithm, then calculating the loss of the power grid and the power generation operation cost according to the output power, and meanwhile distributing the power of the connection point to the inner-layer power grid to serve as the power generation power of the inner-layer power grid;
calculating an inner layer power grid: calculating the output power of the distributed power supply in the inner-layer power grid through an intelligent optimization algorithm, then calculating the network loss and the power generation operation cost according to the output power, and simultaneously returning the connection point power calculated by the inner-layer power grid to the outer-layer power grid;
calculating the error of the connection point: in order to balance the power between the distribution network and the microgrid, the distribution network transfers power P to the microgrid as shown in fig. 4 MG,m The load as the power distribution network participates in economic dispatch on the active power distribution network, and for the micro-grid, P is added MG,m And participating in economic dispatch on the microgrid as generator power. Simultaneous microgrid utilization P MG,m And the power values of other distributed power supplies obtain new power P 'at the connection point' MG,m ,P' MG,m And P MG,m There is a certain error between them, which is expressed by delta, and the range of delta is set to balanceThe power between the two; calculating the error of the power value at the connecting point, judging whether the value is in a range, if so, continuing to calculate the power generation operation cost of the next micro-grid, otherwise, ending the calculation and performing the next iterative calculation;
updating the cost value of the outer-layer power grid: updating the power generation operation cost of the outer power grid according to the cost value returned by the inner power grid;
and repeating the steps until the maximum iteration times are reached to obtain the optimal solution.
In order to solve the problems of low calculation efficiency, large calculation amount and the like caused by the fact that the traditional load flow calculation method is used for calculating the network loss, the network loss sensitivity is used for calculating the system network loss; the network loss calculation of the outer layer power grid and the inner layer power grid adopts a network loss sensitivity method;
for a power distribution network with NL lines, a network loss formula for solving each line in a traditional load flow calculation mode is as follows:
wherein, GL n And GL is the network loss of the nth line and the network loss, r, of the whole distribution network respectively n Is the resistance on line n, I n Is the current value on line n;
the network loss sensitivity is the size of the network loss generated after the node injects unit power. When the network loss sensitivity of the nodes is calculated, firstly calculating the network loss of the nodes injected with the basic power, then calculating the network loss after each power supply is accessed in sequence, wherein the ratio of the network loss change quantity to the active power of the nodes is the network loss sensitivity:
wherein PLS b The network loss sensitivity of the node b is shown, delta P is active power injected by the node, and n is a circuit taking the node b as an end node;
the formula for calculating the network loss by using the network loss sensitivity is as follows:
GL b =k×PLS b ×(P b +ΔP b );
GL=∑GL b ;
in the method, a differential evolution intelligent algorithm is applied to an economic dispatching decomposition coordination calculation method of an active power distribution network containing multiple micro-grids, and in the method, the calculation of an outer power grid and the calculation of an inner power grid both adopt the differential evolution algorithm;
in the initialization stage, a random value in the range of an upper limit and a lower limit is selected according to the upper limit and the lower limit of the output of the unit by a differential evolution algorithm, and the following formula is adopted:
where rand (0,1) represents a uniform random real number generated between [0,1 ];
in the variant operation stage, a mutation vector V can be obtained from three individuals according to the following formula i,g :
V k,g =X a,g +F×(X b,g -X c,g )k≠a≠b≠c;
Wherein, X a,g ,X b,g ,X c,g Randomly taking the current population, wherein F is a scaling factor;
in the cross-over phase of operation,
is that
And
the test vector formed by combining the gene information is determined by the cross probability CR, which is shown in the following formula;
in the selection operation phase, the differential evolution algorithm uses a greedy selection method to perform the selection operation, and the operation formula is as follows.
In order to accelerate the operation speed of the example simulation and shorten the operation time, the invention adopts a quick search strategy, the iteration times of the inner layer are not set with fixed values any more, but are dynamically adjusted along with the outer layer iteration process, the relation between the inner layer iteration and the outer layer iteration can be obtained by solving the formula, and the change trend is shown in figure 5;
wherein Itercount represents the number of iterations of the inner layer, itercount min Represents the minimum value of the number of iterations of the inner layer, itercount max Representing the maximum value of the iteration times of the inner layer, and T representing the current iteration number of the outer layer;
meanwhile, in order to further improve the calculation rate, the iterative calculation process of the outer-layer power grid is further improved; in a certain iteration process of an outer-layer power grid, firstly, cost estimation is carried out according to the unit output power value and the connection point power value obtained by calculation in the group, whether the estimated value meets expectation is judged, if yes, the value is reserved for carrying out subsequent calculation, if not, the group which does not meet the expectation is removed, subsequent calculation is not carried out, therefore, the overall calculation time is shortened, the calculation efficiency is improved, and the cost estimation flow is shown in figure 6.
In order to verify the effectiveness of the method provided by the invention, a case simulation diagram shown in fig. 7 is adopted in the example simulation of the invention, and the method adopted by the invention is compared with the traditional overall calculation scheduling method, wherein the parameter configuration of each unit and distributed power supply in the example is shown in tables 1 and 2, the parameter setting of the iteration of the example is shown in table 3, and the comparison of the example result is shown in table 4.
TABLE 1 Unit parameters
Table 2 each microgrid distributed power supply parameter
TABLE 3 example iteration parameters
TABLE 4 cost comparison of two calculation methods
The maximum value, the minimum value and the average value of the power generation operation cost in the calculation example are compared, and it can be seen that the result obtained by the economic dispatching method for the active power distribution network comprising the multiple micro-grids, which is provided by the invention, has a smaller fluctuation range and is more stable than the result obtained by adopting an integral calculation mode, and compared with the average value of the two, the value obtained by the invention has obvious advantages, and the solving precision of the economic dispatching result is effectively improved.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
the optimization variables of the method comprise the output of a power distribution network and unit power equipment in each micro-grid, the injection power of an upper-layer power grid of an active power distribution network to a system, the transmission power of a connection point of the power distribution network and the micro-grid and the system grid loss; the method comprises the steps that the upper and lower output limits of each device, the capacity limit of a micro-grid and the injection power limit of an upper-layer power grid in an active power distribution network system comprising multiple micro-grids are used as constraint conditions of a target function, and the optimal output complex scheme and the minimum power generation operation cost of each device are obtained through a differential evolution algorithm.
Fig. 8 is a schematic structural diagram of a decomposition and coordination system for economic scheduling of an active power distribution network including multiple micro-grids, provided by the present invention, as shown in fig. 8, the decomposition and coordination system for economic scheduling of an active power distribution network including multiple micro-grids provided by the present invention includes:
the active power distribution network parameter acquisition module 801 is used for acquiring the output of each unit in the active power distribution network containing multiple micro-networks;
the model establishing module 802 is configured to establish an economic dispatching model of the active power distribution network including the multiple micro-grids according to the output of each unit, by using the lowest total power generation cost of economic dispatching as a target function, and by using the total load demand in the active power distribution network of the multiple micro-grids, the constraint of total line loss balance and the constraint of unit power as constraint conditions;
the system decomposition module 803 is configured to decompose the active power distribution network including multiple micro grids to obtain an outer power distribution network and an inner micro grid including all micro grids;
the economic dispatching model correcting module 804 is used for correcting the economic dispatching model of the active power distribution network containing multiple micro-grids by using the operation parameters of the outer-layer power distribution network and the operation parameters of the inner-layer micro-grid; the operating parameters of the outer distribution network comprise: the power generation and grid loss costs, the output power and the load of the power distribution network; the operation parameters of the inner micro-grid comprise: the power generation and grid loss cost, output power and load of the microgrid;
the economic dispatching module 805 is used for determining the output result of the unit in the outer-layer power distribution network according to the corrected economic dispatching model of the active power distribution network; determining a unit output result in the inner-layer microgrid according to power transmission between the outer-layer power distribution network and the inner-layer microgrid; and decomposing and coordinating the economic dispatching of the active power distribution network comprising the multiple micro-grids according to the output result of the unit in the outer power distribution network and the output result of the unit in the inner micro-grid.
The model building module 802 specifically includes:
an objective function determination unit for utilizing a formula
Determining an objective function;
a power balance constraint determining unit for using the formula
Determining total load demand and total line loss balance constraints in an active power distribution network of multiple micro-grids;
a constraint determination unit of the power of the unit for utilizing the formula P i,min ≤P G,i ≤P i,max Determining the constraint of the unit power;
wherein F is the total power generation cost of economic dispatch, a i 、b i 、c i Are the power generation cost coefficient, P, of the unit i G,i The output of the unit i is the value; n is the total number of units, e i 、f i Is the valve point effect coefficient, P, of unit i G,i,min Is the lower active power output limit, P, of unit i D The total load demand of the system is directly acquired from the system; p LOSS For total line loss in the system, P i,min Outputting the minimum power of the unit i; p i,max And outputting the maximum power of the unit i.
The system decomposition module 803 specifically includes:
the connection point determining unit is used for determining connection points between the power distribution network and each microgrid in the active power distribution network containing multiple microgrids;
and the system decomposition unit is used for decomposing the active power distribution network containing the multiple micro-grids into an outer power distribution network and an inner micro-grid containing all micro-grids by using the connecting points.
The economic dispatch model modification module 804 specifically includes:
a modified objective function determination unit for using the formula
Determining a modified objective function;
the outer distribution network power balance constraint condition determination unit is used for utilizing a formula
Determining the power balance constraint condition of the outer-layer power distribution network;
a connection point power constraint determination unit for using the formula
Determining a power constraint condition of a connection point;
a power distribution network conventional unit output constraint condition determining unit for utilizing a formula P Gmin,t ≤P G,t ≤P Gmax,t Determining output constraint conditions of conventional units of the power distribution network;
a power transmission constraint condition determination unit for the upper layer power grid to the distribution network, for utilizing the formula P T,min ≤P T ≤P T,max Determining a transmission constraint condition from an upper-layer power grid to a power distribution network;
a power balance constraint condition determination unit of the inner micro-grid for utilizing a formula
Determining a power balance constraint condition of the inner-layer microgrid;
a unit for determining output constraint conditions of partial distributed power supplies in the microgrid, which is used for utilizing a formula
Determining the output constraint conditions of partial distributed power sources in the microgrid;
wherein, F
ADN Cost of power generation and loss for the distribution network, F
m Cost of power generation and grid loss for micro-grids, N
MG Representing the number of microgrids, P
T For transmission power, P, of the upper grid to the distribution network
MG,m Transmitting electric power, P, to the microgrid for the distribution network
D For the load power, P, of the distribution network
PL For the network loss of the distribution network, P
PV,m,v For the output power of the v-th photovoltaic in the mth microgrid in the active power distribution network,
for the photovoltaic minimum output power of the v-th station in the mth microgrid in the active power distribution network,
the maximum output power of the photovoltaic of the vth station in the mth microgrid in the active power distribution network is obtained; p
WT,m,w The power is output by the w-th fan in the mth microgrid in the active power distribution network,
the minimum output power of the w-th fan in the mth micro-grid in the active power distribution network,
the maximum output power of a w-th fan in the mth micro-grid in the active power distribution network; p is
DE,m,d The power is output by the d diesel engine in the m micro-grid in the active power distribution network,
the minimum output power of the d diesel engine in the mth micro-grid in the active power distribution network,
the maximum output power of the d diesel engine in the mth microgrid in the active power distribution network is obtained; p
ESS,m,s For the mth in the active distribution networkThe s-th energy storage device in the micro-grid outputs power,
the minimum output power of the s energy storage device in the m micro-grid in the active power distribution network,
the maximum output power of the s energy storage device in the m micro-grid in the active power distribution network is obtained; p
MD,m Is expressed as the load in the mth microgrid, P
Gmin,t Minimum output, P, of unit i
Gmax,t Maximum output, P, for unit i
T,min Minimum transmission power, P, for the upper grid to the distribution network
T,max And the maximum transmission power of the upper power grid to the power distribution network.
The economic dispatch model modification module 804 further includes:
and the penalty function constraint unit is used for carrying out constraint on the corrected objective function by adopting a penalty function method.
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other. For the system disclosed by the embodiment, the description is relatively simple because the system corresponds to the method disclosed by the embodiment, and the relevant points can be referred to the description of the method part.
The principles and embodiments of the present invention have been described herein using specific examples, which are provided only to help understand the method and the core concept of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the foregoing, the description is not to be taken in a limiting sense.