CN116388172A - Low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection - Google Patents
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Abstract
The invention discloses a low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection. And determining addresses of the micro gas turbine (MT), the new energy, the energy storage and the Capacitor (CB) according to the network loss sensitivity, and adopting a double-layer model to realize the planning of the low-carbon power distribution network. The upper planning layer aims at the minimum comprehensive cost, and considers the investment and operation cost of the micro gas turbine, new energy, energy storage (ESS) and the capacitor; the lower operating layer aims at minimizing the operating cost and the voltage offset, and takes capacitor switching, new energy uncertainty, micro gas turbines and energy storage scheduling into consideration. The method provided by the invention can realize low-carbon economic operation of the power distribution network, improve tide distribution, improve voltage quality and reduce network loss.
Description
Technical Field
The invention belongs to the technical field of power systems, and particularly relates to a low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection.
Background
The traditional power supply mode of the power distribution network can not meet the requirements of users and social development, and the system is enabled to run economically with low carbon while the reliable electricity utilization of the users is ensured, so that the utilization efficiency of energy is imperative. The active power distribution network with the new energy access can actively regulate and control the local distributed power supply, and becomes an important measure for realizing low-carbon operation of the system by the power grid. However, the randomness of new energy power generation brings uncertainty to the system, so that a scientific planning scheme is formulated, the low-carbon economic operation of the system is ensured, and the important significance is achieved for meeting the power demand of users.
Disclosure of Invention
Aiming at the problems, the invention provides a low-carbon power distribution network double-layer planning method based on grid loss sensitivity site selection, wherein an upper planning layer aims at the minimum comprehensive cost, considers the investment and operation costs of a miniature gas turbine, new energy, energy storage and a capacitor, and adopts an improved weed algorithm to solve the problems; the lower operation layer takes the minimum operation cost and voltage offset as targets, takes capacitor switching, new energy uncertainty, a micro gas turbine and energy storage scheduling into consideration, adopts a multi-target whale algorithm to obtain a uniform pareto front edge, and utilizes a fuzzy decision method to select an optimal solution.
The invention provides a low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection, which comprises the following specific design scheme:
establishing a network loss sensitivity-based site selection model;
step (2) establishing a low-carbon power distribution network planning layer model;
step (3), establishing a low-carbon power distribution network operation layer model;
step (4) establishing a carbon transaction mechanism of the low-carbon power distribution network;
and (5) solving the double-layer model by using an improved weed algorithm and a multi-target whale algorithm.
Further, the selecting the site model based on the loss sensitivity in the step (1) includes:
wherein: LP and LQ are active and reactive power loss sensitivity; p (P) loss Is an active network loss; r and x are branch resistances and reactances; p is p j 、q j Injecting active power and reactive power for the branch end node j; u (U) j Is the voltage at node j.
The larger the sensitivity of the network loss is, the larger the influence of the load power of the node on the network loss is, and the system loss can be reduced by configuring active or reactive compensation equipment at the node with the larger sensitivity of the network loss.
Furthermore, the low-carbon power distribution network planning layer model in the step (2) aims at the minimum comprehensive cost, considers the investment and operation cost of the micro gas turbine MT, new energy, energy storage ESS and capacitor CB, and comprises the following steps:
wherein the new energy source comprises photovoltaic PV and wind power WT;
wherein: f (F) up Is the comprehensive cost; c (C) I Is investment cost; c (C) O The annual running cost;investment cost for MT; />Investment cost for PV; />Investment cost for WT; />Investment costs for ESS; />Is CB investment cost; />The MT running cost; />The PV operating cost; />Cost for WT operation; />The running cost is ESS; />The electricity purchasing cost is the electricity purchasing cost of the upper-level power grid; />Carbon emission cost of the power distribution network; />And selling electricity to the upper power grid.
Further, constraint conditions of the low-carbon power distribution network planning layer model in the step (2) are as follows:
1) Number of device installations constraint:
wherein: n is n i The number of installations for the i-th type of equipment;for the maximum purchase amount of the device.
2) Device installation capacity constraints:
wherein: e (E) i The installation capacity of the i-th type equipment;for maximum installation capacity of the device.
3) New energy permeability constraint:
wherein: n is n node The number of nodes of the power distribution network is counted; e (E) i ' configure capacity for node i new energy; θ is the new energy permeability;is the maximum load in one year.
Further, in the step (3), the low-carbon power distribution network operation layer model takes the minimum operation cost and voltage offset as targets, takes into account capacitor switching, new energy uncertainty, micro gas turbines and energy storage scheduling, obtains a uniform pareto front by adopting a multi-target whale algorithm, and selects an optimal solution by using a fuzzy decision method:
in which F is down Multi-objective optimization for the operation layer; deltaU all Is the voltage offset;the voltage per unit value of the inode in the typical day t period of s seasons; d (D) s Is the number of days in season.
Further, the constraint condition of the low-carbon power distribution network operation layer model in the step (3) is specifically as follows:
1) Branch tide constraint of low-carbon power distribution network:
in U i,s,t 、U j,s,t The voltage of the first-end i node and the voltage of the terminal j node of the branch ij in the period t of s seasons are calculated; r is (r) ij 、x ij The resistance and reactance of branch ij; p (P) ij,s,t 、Q ij,s,t Active and reactive power of the head end of the branch ij in the period t of s seasons; i ij,s,t The current of the branch ij in the period t of s seasons is equal to the current of the branch ij in the period t of s seasons; p is p j,s,t 、q j,s,t Active power and reactive power are injected into the j node of the branch ij at the end of the t period of s seasons; w (j) is a branch end node set taking j as a head end node; p (P) jk,s,t 、Q jk,s,t Active and reactive power at the head end of the branch jk in the period t of s seasons.
2) System security constraints:
in U max 、U min The upper limit and the lower limit of the node voltage of the low-carbon power distribution network are adopted; i ij,max The maximum value of the passing current is allowed for the branch ij.
3) CB operation constraints:
in the formula,reactive power output is carried out for the z-th CB in the s-season t period; />The CB group number is input; />Reactive compensation capacity for each group of CBs; />The maximum number of input groups is CB.
4) ESS operation constraints:
wherein:the electric quantity stored for the z-th ESS in the s-season t period; η (eta) ch 、η d Charging and discharging efficiency of the ESS;is a boolean variable; />Maximum charge and discharge power for the z-th ESS; />The state of charge of the ESS at the time t of s seasons is z-th; /> Charging and discharging power for the z-th ESS in the period t of s seasons;
5) MT operation constraint:
6) New energy operation constraint:
wherein: alpha 1 、α 2 A probability value for the constraint condition to be established;predicting a mean value of deviation for the z-th stage PV and the WT in s-season t period; />A power factor angle for the z-th stage PV and WT during s-season t-period; />And->Reactive power injected for the z-th stage PV and WT during the s-season t period; />Active power injected for the z-th stage PV and WT during the s-season t period; />Maximum active power injected for the z-th stage PV and WT during the s-season t period;
further, in the step (4), a carbon transaction mechanism of the low-carbon power distribution network is established, which specifically includes the following steps:
wherein:carbon emission per unit electricity consumption; />Carbon emission quota for unit electricity consumption;
Further, in the step (5), the double-layer model is solved by using an improved weed algorithm and a multi-objective whale algorithm, and the method is specifically as follows:
step 5.1: the initialization run layer cost lb= - ≡, initializing a planning layer the cost UB = +++ is, the number of iterations d=1.
Step 5.2: solving the run layer, updating lb=max { LB, C O (x) Variable x is passed to the planning layer, updating the planning layer constraints.
Step 5.3: solving the planning layer, updating ub=min { UB, C O (y)}。
Step 5.4: and if convergence accuracy I UB-LB I is less than or equal to xi, outputting a result, otherwise, performing step 5.5.
Step 5.5: the variable y is passed to the run layer, the run layer constraint is updated, d=d+1, and go to step 5.2.
The improved weed algorithm is as follows:
first, an age attribute calculation formula is introduced:
a i =e cur -e bom
wherein: e, e cur 、e bom Respectively representing the current algebra and birth algebra of the population where the individual i is located; a, a i Age of the ith individual weed.
The senescence mechanism of weeds can limit the number of offspring that can be propagated by individual weeds, specifically:
wherein: a, a max 、a cur The maximum age and the current age of the individual can survive; y is max 、y min Respectively the upper limit and the lower limit of the fitness of the current population; s is S max 、S min The upper limits of the algebra of the propagules respectively; y, S i The current fitness and the resulting sub-algebra, respectively.
By age attributes, the number of neutrons that an individual can reproduce is closely related to fitness, while enabling an individual to attenuate reproductive capacity as they age.
Compared with the prior art, the invention has the advantages and positive effects that:
(1) Based on the network loss sensitivity, the site selection can reduce the network loss of the system and improve the energy utilization efficiency.
(2) Compared with the traditional multi-objective algorithm, the multi-objective whale algorithm provided by the invention has better convergence, distribution and uniformity, and the fuzzy decision can make a balanced decision on multiple objectives to obtain an optimal solution.
(3) The low-carbon power distribution network double-layer planning model provided by the invention considers new energy configuration, can reduce the carbon emission of the traditional power distribution network, and meets the social development requirement of a double-carbon target.
Drawings
FIG. 1 is a double-layer layout diagram of a low-carbon power distribution network based on network loss sensitivity site selection;
FIG. 2 is a diagram of a modified IEEE33 node low-carbon distribution network;
FIG. 3 is a flow chart of a low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection;
FIG. 4 is a comparison of the proposed solution algorithm with the NSGA-II algorithm.
Detailed Description
The invention provides a low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection, wherein a low-carbon power distribution network double-layer planning model is shown in fig. 1, a low-carbon power distribution network double-layer planning result is shown in fig. 2, a low-carbon power distribution network double-layer planning flow chart based on network loss sensitivity site selection is shown in fig. 3, and the implementation steps are as follows:
(1) Establishing a site selection model based on network loss sensitivity
Wherein: LP and LQ are active and reactive power loss sensitivity; p (P) loss Is an active network loss; r and x are branch resistances and reactances; p is p j 、q j Injecting active power and reactive power for the branch end node j; u (U) j Is the voltage at node j.
The larger the sensitivity of the network loss is, the larger the influence of the load power of the node on the network loss is, and the system loss can be reduced by configuring active or reactive compensation equipment at the node with the larger sensitivity of the network loss.
(2) Establishing low-carbon power distribution network planning layer model
The low-carbon power distribution network planning layer aims at the minimum comprehensive cost, and considers the investment and operation cost of the miniature gas turbine MT, new energy, the energy storage ESS and the capacitor CB, wherein the new energy comprises photovoltaic PV and wind power WT:
wherein: f (F) up Is the comprehensive cost; c (C) I Is investment cost; c (C) O The annual running cost;investment cost for MT; />Investment cost for PV; />Investment cost for WT; />Investment costs for ESS; />Is CB investment cost; />The MT running cost;the PV operating cost; />Cost for WT operation; />The running cost is ESS; />The electricity purchasing cost is the electricity purchasing cost of the upper-level power grid; />Carbon emission cost of the power distribution network; />And selling electricity to the upper power grid.
Constraint conditions of the low-carbon power distribution network planning layer are as follows:
1) Number of device installations constraint:
wherein: n is n i The number of installations for the i-th type of equipment;for the maximum purchase amount of the device.
2) Device installation capacity constraints:
wherein: e (E) i The installation capacity of the i-th type equipment;for maximum installation capacity of the device.
3) New energy permeability constraint:
wherein: n is n node The number of nodes of the power distribution network is counted; e (E) i ' configure capacity for node i new energy; θ is the new energy permeability;is the maximum load in one year.
(3) Establishing low-carbon power distribution network operation layer model
The low-carbon power distribution network operation layer takes the minimum operation cost and voltage offset as targets, takes capacitor switching, new energy uncertainty, a miniature gas turbine and energy storage scheduling into consideration, adopts a multi-target whale algorithm to obtain uniform pareto fronts, and selects an optimal solution by using a fuzzy decision method:
in which F is down Multi-objective optimization for the operation layer; deltaU all Is the voltage offset;the voltage per unit value of the inode in the typical day t period of s seasons; d (D) s Is the number of days in season.
The operation layer constraint conditions are as follows:
1) Branch tide constraint of low-carbon power distribution network:
in U i,s,t 、U j,s,t The voltage of the first-end i node and the voltage of the terminal j node of the branch ij in the period t of s seasons are calculated; r is (r) ij 、x ij The resistance and reactance of branch ij; p (P) ij,s,t 、Q ij,s,t Active and reactive power of the head end of the branch ij in the period t of s seasons; i ij,s,t The current of the branch ij in the period t of s seasons is equal to the current of the branch ij in the period t of s seasons; pj, s, t, q j,s,t Active power and reactive power are injected into the j node of the branch ij at the end of the t period of s seasons; w (j) is a branch end node set taking j as a head end node; p (P) jk,s,t 、Q jk,s,t Active and reactive power at the head end of the branch jk in the period t of s seasons.
2) System security constraints:
in U max 、U min The upper limit and the lower limit of the node voltage of the low-carbon power distribution network are adopted; i ij,max The maximum value of the passing current is allowed for the branch ij.
3) CB operation constraints:
in the formula,reactive power output is carried out for the z-th CB in the s-season t period; />The CB group number is input; />Reactive compensation capacity for each group of CBs; />The maximum number of input groups is CB.
4) ESS operation constraints:
wherein:the electric quantity stored for the z-th ESS in the s-season t period; η (eta) ch 、η d Charging and discharging efficiency of the ESS;is a boolean variable; />Maximum charge and discharge power for the z-th ESS; />The state of charge of the ESS at the time t of s seasons is z-th; /> Charging the z-th ESS in the s-season t periodDischarge power;
5) MT operation constraint:
6) New energy operation constraint:
wherein: alpha 1 、α 2 A probability value for the constraint condition to be established;predicting a mean value of deviation for the z-th stage PV and the WT in s-season t period; />A power factor angle for the z-th stage PV and WT during s-season t-period; />And->Reactive power injected for the z-th stage PV and WT during the s-season t period; />Active power injected for the z-th stage PV and WT during the s-season t period; />Maximum active power injected for the z-th stage PV and WT during the s-season t period;
(4) Establishing carbon transaction mechanism of low-carbon power distribution network
Wherein:carbon emission per unit electricity consumption; />Carbon emission quota for unit electricity consumption; />A trade price for carbon; />To purchase electric power.
(5) And solving the double-layer model by using an improved weed algorithm and a multi-target whale algorithm. The method comprises the following specific steps:
step 5.1: the initialization run layer LB = - ≡, initializing a plan layer UB = +++ is provided, the number of iterations d=1 is set.
Step 5.2: solving the run layer, updating lb=max { LB, C O (x) Variable x is passed to the planning layer, updating the planning layer constraints.
Step 5.3: solving the planning layer, updating ub=min { UB, C O (y)}。
Step 5.4: and if convergence accuracy I UB-LB I is less than or equal to xi, outputting a result, otherwise, performing step 5.5.
Step 5.5: the variable y is passed to the run layer, the run layer constraint is updated, d=d+1, and go to step 5.2.
The improved weed algorithm is as follows:
first, an age attribute calculation formula is introduced:
a i =e cur -e bom
wherein: e, e cur 、e bom Respectively representing the current algebra and birth algebra of the population where the individual i is located; a, a i Age of the ith individual weed.
The senescence mechanism of weeds can limit the number of offspring that can be propagated by individual weeds, specifically:
wherein: a, a max 、a cur The maximum age and the current age of the individual can survive; y is max 、y min Respectively the upper limit and the lower limit of the fitness of the current population; s is S max 、S min The upper limits of the algebra of the propagules respectively; y, S i The current fitness and the resulting sub-algebra, respectively.
By age attributes, the number of neutrons that an individual can reproduce is closely related to fitness, while enabling an individual to attenuate reproductive capacity as they age.
To verify the effectiveness of the method mentioned, consider the following three operating strategy results when the spring is considered.
Strategy 1: the stored energy configuration is not considered.
Strategy 2: on the basis of strategy 1, the same-capacity energy storage is configured at the wind-light node.
Strategy 3: based on strategy 2, the loss sensitivity is considered.
Table 1 shows the system operation results under three strategies in spring, and from the table, the method can effectively reduce the system operation cost and improve the voltage quality.
Table 1 three strategy results
Finally, only specific embodiments of the present invention have been described in detail above. The invention is not limited to the specific embodiments described above. Equivalent modifications and substitutions of the invention will occur to those skilled in the art, and are intended to be within the scope of the present invention. Accordingly, equivalent changes and modifications are intended to be included within the scope of the present invention without departing from the spirit and scope thereof.
Claims (8)
1. A low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection is characterized by comprising the following steps of: the method comprises the following steps:
step 1, establishing a network loss sensitivity-based site selection model;
step 2, establishing a low-carbon power distribution network planning layer model;
step 3, establishing a low-carbon power distribution network operation layer model;
step 4, establishing a carbon transaction mechanism of the low-carbon power distribution network;
and 5, solving the double-layer model by using an improved weed algorithm and a multi-target whale algorithm.
2. The low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection according to claim 1, wherein the method is characterized by comprising the following steps of: in the step 1, the site selection model based on the network loss sensitivity is specifically as follows:
wherein: LP and LQ are active and reactive power loss sensitivity; p (P) loss Is an active network loss; r and x are branch resistances and reactances; p is p j 、q j Injecting active power and reactive power for the branch end node j; u (U) j Is the voltage at node j.
3. The low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection according to claim 1, wherein the method is characterized by comprising the following steps of: the low-carbon power distribution network planning layer model in the step 2 aims at the minimum comprehensive cost, considers investment and operation costs of MT, new energy, ESS and CB, and specifically comprises the following steps:
new energy sources include PV and WT;
wherein: f (F) up Is the comprehensive cost; c (C) I Is investment cost; c (C) O The annual running cost;investment cost for MT; />Investment cost for PV; />Investment cost for WT; />Investment costs for ESS; />Is CB investment cost; />The MT running cost; />The PV operating cost; />Cost for WT operation; />The running cost is ESS; />The electricity purchasing cost is the electricity purchasing cost of the upper-level power grid; />Carbon emission cost of the power distribution network; />And selling electricity to the upper power grid.
4. The low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection according to claim 1, wherein the method is characterized by comprising the following steps of: the constraint conditions of the low-carbon power distribution network planning layer model in the step 2 are specifically as follows:
1) Number of device installations constraint:
wherein: n is n i The number of installations for the i-th type of equipment;maximum purchase amount for the device;
2) Device installation capacity constraints:
wherein: e (E) i The installation capacity of the i-th type equipment;maximum installation capacity for the device;
3) New energy permeability constraint:
5. The low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection according to claim 3, wherein the method is characterized by comprising the following steps of: in the step 3, the low-carbon power distribution network operation layer takes the minimum operation cost and voltage offset as targets, takes into account capacitor switching, new energy uncertainty, micro gas turbines and energy storage scheduling, adopts a multi-target whale algorithm to obtain a uniform pareto front edge, and utilizes a fuzzy decision method to select an optimal solution, and specifically comprises the following steps:
6. The low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection according to claim 1, wherein the method is characterized by comprising the following steps of: the constraint conditions of the low-carbon power distribution network operation layer model in the step 3 are specifically as follows:
1) Branch tide constraint of low-carbon power distribution network:
in U i,s,t 、U j,s,t The voltage of the first-end i node and the voltage of the terminal j node of the branch ij in the period t of s seasons are calculated; r is (r) ij 、x ij The resistance and reactance of branch ij; p (P) ij,s,t 、Q ij,s,t Active and reactive power of the head end of the branch ij in the period t of s seasons; i ij,s,t The current of the branch ij in the period t of s seasons is equal to the current of the branch ij in the period t of s seasons; p is p j,s,t 、q j,s,t Active power and reactive power are injected into the j node of the branch ij at the end of the t period of s seasons; w (j) is a branch end node set taking j as a head end node; p (P) jk,s,t 、Q jk,s,t Active and reactive power of the head end of the branch jk in the period t of s seasons;
2) System security constraints:
in U max 、U min Is a low-carbon power distribution networkUpper and lower limits of node voltage; i ij,max The maximum value of the allowed through current for branch ij;
3) CB operation constraints:
in the formula,reactive power output is carried out for the z-th CB in the s-season t period; />The CB group number is input; />Reactive compensation capacity for each group of CBs; />The maximum investment group number is CB;
4) ESS operation constraints:
wherein:the electric quantity stored for the z-th ESS in the s-season t period; η (eta) ch 、η d Charging and discharging efficiency of the ESS; />Is a boolean variable; />Maximum charge and discharge power for the z-th ESS; />In s-season for z-th ESSThe charge state of the section t period; /> Charging and discharging power for the z-th ESS in the period t of s seasons;
5) MT operation constraint:
6) New energy constraint:
wherein: alpha 1 、α 2 A probability value for the constraint condition to be established;predicting a mean value of deviation for the z-th stage PV and the WT in s-season t period; />A power factor angle for the z-th stage PV and WT during s-season t-period; />And->Reactive power injected for the z-th stage PV and WT during the s-season t period; />Injection for z-th stage PV and WT during s-season t-periodActive power of (2);maximum active power injected for the z-th stage PV and WT during the s-season t-period.
7. The low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection according to claim 5, wherein the method is characterized by comprising the following steps of: step 4 is to establish a carbon transaction mechanism of the low-carbon power distribution network, which specifically comprises the following steps:
8. The low-carbon power distribution network double-layer planning method based on network loss sensitivity site selection according to claim 7, wherein the method is characterized by comprising the following steps of: the step 5 is to solve a double-layer model by using an improved weed algorithm and a multi-target whale algorithm, and specifically comprises the following steps:
step 5.1: the initialization run layer cost lb= - ≡, initializing a planning layer the cost UB = +++ is, the number of iterations d=1;
step 5.2: solving low-carbon power distribution network operation layer, and updating LB=max { LB, C O (x) The variable x is transmitted to a low-carbon power distribution network planning layer, and the constraint of the low-carbon power distribution network planning layer is updated;
step 5.3: solving for low-carbon power distributionNetwork planning layer, update ub=min { UB, C O (y)};
Step 5.4: if convergence condition |UB-LB| is less than or equal to ζ, outputting a result, otherwise, performing step 5.5;
step 5.5: transmitting the variable y to a low-carbon power distribution network operation layer, updating the constraint of the low-carbon power distribution network operation layer, and turning to step 5.2, wherein d=d+1;
the improved weed algorithm is as follows:
first, an age attribute calculation formula is introduced:
a i =e cur -e bom
wherein: e, e cur 、e bom Respectively representing the current algebra and birth algebra of the population where the individual i is located; a, a i Age of the ith individual weed;
the senescence mechanism of weeds can limit the number of offspring that can be propagated by individual weeds, specifically:
wherein: a, a max 、a cur The maximum age and the current age of the individual can survive; y is max 、y min Respectively the upper limit and the lower limit of the fitness of the current population; s is S max 、S min The upper limits of the algebra of the propagules respectively; y, S i Respectively the current fitness and the generated sub algebra;
by age attributes, the number of neutrons that an individual can reproduce is closely related to fitness, while enabling an individual to attenuate reproductive capacity as they age.
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