CN105207195B - A kind of power distribution network distributed power source addressing constant volume method - Google Patents
A kind of power distribution network distributed power source addressing constant volume method Download PDFInfo
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Abstract
The invention discloses a kind of power distribution network distributed power source addressing constant volume method, and the grid-connected position of power distribution network distributed power source and capacity optimization are realized based on NSGA II algorithms.Consider distributed power source it is grid-connected after economy and stability, realize that grid net loss, installation operating cost and total voltage deviation are optimal the addressing and constant volume calculating of lower distribution distributed power source using the algorithms of NSGA II.This method represents taking into account for economy and stability multiple target in the planning of distribution distributed power source in the form of Pareto optimal solutions, it can obtain stressing economy with stability difference multiple optimal solutions under degree, the weak point of single situation can only be represented by overcoming simple weighted, and actual emulation shows the validity and reasonability of institute's extracting method.
Description
Technical field
The present invention relates to a kind of power distribution network distributed power source addressing constant volume method based on NSGA-II algorithms, belong to distribution
Formula field of new energy technologies.
Background technology
The grid integration of distributed power source so that distribution net work structure changes, and distribution system is from radial passive network
It is changed into being distributed with the active electric network power network of middle-size and small-size power supply, trend distribution, via net loss in former power network, the stable case of voltage
Change can all be produced.Its influence all has substantial connection with the position of distributed power source and capacity, therefore for being distributed in power distribution network
The planning of formula power supply also turns into focus therewith.Existing research is mainly only for single optimization aim at present, using simple target
Optimized algorithm is solved, or considers distributed power source grid-connected stability and economy, using weighting each target
Multiple target is converted into single goal and optimizes solution by mode, with actual demand and not meeting.
The content of the invention
In order to solve the above-mentioned technical problem, the invention provides a kind of power distribution network distributed electrical based on NSGA-II algorithms
Source addressing constant volume method, economy and stability after consideration distributed power source is grid-connected, power network is realized using the algorithms of NSGA- II
Network loss, installation operating cost and total voltage deviation are optimal the addressing and constant volume calculating of lower distribution distributed power source.Should
Method represents taking into account for economy and stability multiple target in the planning of distribution distributed power source, energy in the form of Pareto optimal solutions
The multiple optimal solutions stressed with stability difference under degree are accessed to economy, single feelings can only be represented by overcoming simple weighted
The weak point of condition.
In order to achieve the above object, the technical solution adopted in the present invention is:
1) clear and definite distributed power source addressing constant volume needs Consideration to include distribution network loss minimum, distributed power source installation
Operating cost is minimum, power distribution network total voltage deviation is minimum;
2) the power distribution network distributed power source addressing constant volume based on multiple target is determined;
21) distributed power source grid-connected economy and stability are considered.With the total network loss of power network, distributed power source running cost
With and the minimum target of total voltage deviation:
min f1=Ploss
min f2=CD
min f3=DetV
PlossFor network loss, CDFor distributed power source operating cost, DetV is total voltage deviation, f1,f2,f3It is divided into the total net of power network
Damage, distributed power source operating cost and total voltage deviation minimum target function;
22)PlossFor network loss:
ΔPiFor branch road i active loss.L is power distribution network branch road sum.
23)CDFor distributed power source operating cost:
TmaxFor distributed power source maximum generation hourage;βjFor distributed power source j power factor;SDjFor distributed electrical
Source j capacity;CcjFor distributed power source j unit quantity of electricity costs, including the electricity price and construction cost of distributed power source;
24) DetV is total voltage deviation:
Wherein U*For the reference voltage value of power distribution network;UiThe magnitude of voltage of i-th of node.N represents nodes.
3) constraints that distributed power source addressing constant volume should meet is determined:
31) node voltage constrains:
Uimin≤Ui< Uimax
UiFor i-node voltage;Uimin、UimaxFor node i voltage bound;
32) feeder current constrains:
Ij≤Ijmax
IjFor branch road j electric current;IjmaxAllow to pass through maximum current for branch road j;
33) distributed power source capacity-constrained:
S∑D≤SL
S∑DFor distributed power source total capacity;SLFor the 10% of power network total capacity;
35) handled for above-mentioned inequality constraints condition, during optimization using penalty factor method;
34) node voltage limits:
UiFor i-node voltage;Uimin、UimaxFor node i voltage bound;KuFor the penalty factor of node voltage, as right
Deviate the punishment of operational limit, general value is larger, and when it meets that system voltage limitation requires, permanent value is 0;
35) feeder current limits:
Wherein IjFor branch road j electric current;IjmaxAllow to pass through maximum current for branch road j;KiFor branch current punishment because
Son, when electric current is not above allowing maximum current value on branch road, its permanent value is 0;When electric current exceedes maximum on branch road
Then it takes a larger numerical value;
36) distributed power source capacity-constrained:
Wherein S∑DFor distributed power source total capacity;SLFor the 10% of power network total capacity;K∑DFor injection capacity punishment because
Son, when the distributed power source capacity injected in power distribution network is less than permission injection rate, its value takes 0, when injection capacity exceedes limit
Then its value is larger during value processed.
4) model is solved using multi-objective optimization theory
41) Multiobjective Programming describes:
Minf (x)=(f1(x),…,fp(x))T
gi(x)≥0,i∈I
hj(x)=0, j ∈ E
42) using non-dominated sorted genetic algorithm (Non-dominated sorting genetic algorithm,
NSGA- II) carry out problem solving, it is not necessary to the weight ratio in each target is weighed, multi-objective problem can be obtained after optimization
Pareto optimal solutions.
5) multiple-objection optimization based on NSGA-II algorithms is used, after to the address of distributed power source and capacity coding, with
Machine produces an initial population.And Load flow calculation is carried out to the individual in its initial population, arranged according to its target function value
Sequence, then carry out genetic manipulation and obtain new population, second generation population is obtained according to the algorithm flows of NSGA- II.Repeatedly operation until
Reach greatest iteration number, can obtain the optimum results of distributed power source addressing and constant volume.
The beneficial effect that the present invention is reached:The present invention is it can be considered that economy after distributed power source is grid-connected and stably
Property, it is optimal to take into account economy and multiple targets such as stability in the planning of distribution distributed power source, can obtain to economy and surely
Qualitative difference stresses multiple optimal solutions under degree, and the weak point of single situation can only be represented by overcoming simple weighted.
Brief description of the drawings
Fig. 1 is the algorithm flows of NSGA- II.
Fig. 2 is improvement IEEE-33 node systems.
Fig. 3 is containing 3 distributed power source optimum results.
Fig. 4 is containing 4 distributed power source optimum results.
Fig. 5 is network loss and voltage deviation.
Fig. 6 is network loss and operating cost.
Fig. 7 is voltage deviation and operating cost.
Embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following examples are only used for clearly illustrating this hair
Bright technical scheme, and can not be limited the scope of the invention with this.
As shown in figure 1, a kind of power distribution network distributed power source addressing constant volume method flow based on the algorithms of NSGA- II, it is determined that
Multiple-objection optimization and constraints, after address and capacity to distributed power source encode, randomly generate an initial population.It is and right
Individual in its initial population carries out Load flow calculation, is ranked up according to its target function value, then carries out genetic manipulation and obtains
New population, second generation population is obtained according to the algorithm flows of NSGA- II.Operation can be divided up to reaching greatest iteration number repeatedly
The optimum results of cloth site selection of coal fired power plant and constant volume.Including initial algorithm parameter, individual UVR exposure, initial population, non-branch are established at random
With individual sequence, sub- population, selected father population, loop iteration are obtained, obtains the steps such as optimal solution set.
1) factor that clear and definite distributed power source addressing constant volume needs to consider includes distribution network loss minimum, distributed power source dress
Machine operating cost is minimum, power distribution network total voltage deviation is minimum.
2) the power distribution network distributed power source addressing constant volume based on multiple target is determined
21) with the total network loss of power network, distributed power source operating cost and the minimum target of total voltage deviation:
min f1=Ploss
min f2=CD
min f3=DetV
PlossFor network loss, CDFor distributed power source operating cost, DetV is total voltage deviation, f1,f2,f3It is divided into the total net of power network
Damage, distributed power source operating cost and total voltage deviation minimum target function.
22)PlossFor network loss:
ΔPiFor branch road i active loss.L is power distribution network branch road sum.
23)CDFor distributed power source operating cost:
TmaxFor distributed power source maximum generation hourage;βjFor distributed power source j power factor;SDjFor distributed electrical
Source j capacity;CcjFor distributed power source j unit quantity of electricity costs, including the electricity price and construction cost of distributed power source.
24) DetV is total voltage deviation:
Wherein U*For the reference voltage value of power distribution network;UiThe magnitude of voltage of i-th of node.N represents nodes.
3) constraints that distributed power source addressing constant volume should meet is determined
31) node voltage constrains:
Uimin≤Ui< Uimax
UiFor i-node voltage;Uimin、UimaxFor node i voltage bound;
32) feeder current constrains:
Ij≤Ijmax
IjFor branch road j electric current;IjmaxAllow to pass through maximum current for branch road j;
33) distributed power source capacity-constrained:
S∑D≤SL
S∑DFor distributed power source total capacity;SLFor the 10% of power network total capacity;
34) handled for above-mentioned inequality constraints condition, during optimization using penalty factor method.
35) node voltage limits:
UiFor i-node voltage;Uimin、UimaxFor node i voltage bound;KuFor the penalty factor of node voltage, as right
Deviate the punishment of operational limit, general value is larger, and when it meets that system voltage limitation requires, permanent value is 0.
36) feeder current limits:
Wherein IjFor branch road j electric current;IjmaxAllow to pass through maximum current for branch road j;KiFor branch current punishment because
Son, when electric current is not above allowing maximum current value on branch road, its permanent value is 0;When electric current exceedes maximum on branch road
Then it takes a larger numerical value.
37) distributed power source capacity-constrained:
Wherein S∑DFor distributed power source total capacity;SLFor the 10% of power network total capacity;K∑DFor injection capacity punishment because
Son, when the distributed power source capacity injected in power distribution network is less than permission injection rate, its value takes 0, when injection capacity exceedes limit
Then its value is larger during value processed.
4) model is solved using multi-objective optimization theory
41) Multiobjective Programming describes:
Min f (x)=(f1(x),…,fp(x))T
gi(x)≥0,i∈I
hj(x)=0, j ∈ E
42) using non-dominated sorted genetic algorithm (Non-dominated sorting genetic algorithm,
NSGA- II) carry out problem solving, it is not necessary to the weight ratio in each target is weighed, multi-objective problem can be obtained after optimization
Pareto optimal solutions.
5) multiple-objection optimization based on NSGA-II algorithms is used, after to the address of distributed power source and capacity coding, with
Machine produces an initial population.And Load flow calculation is carried out to the individual in its initial population, arranged according to its target function value
Sequence, then carry out genetic manipulation and obtain new population, second generation population is obtained according to the algorithm flows of NSGA- II.Repeatedly operation until
Reach greatest iteration number, can obtain the optimum results of distributed power source addressing and constant volume.
Described above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art
For member, without departing from the technical principles of the invention, some improvement and deformation can also be made, these are improved and deformation
Also it should be regarded as protection scope of the present invention.
Case verification:
This deletes 5 loops in former 33 node systems using IEEE-33 node systems as example.Its topological diagram is such as
Shown in Fig. 2:
The parameter settings of NSGA- II are as follows in this example:The scale of population is 200, iterations 100, and crossing-over rate is
0.9, aberration rate 0.1.Penalty coefficient Ku=Ki=K∑D=1500, the operating cost C of the unit quantity of electricity of distributed power sourcecj=
3800 yuan/KWh.Exemplified by being respectively incorporated into 3 and 4 distributed formula power supplys in power distribution network, matlab software programming meters are used
Available optimum results such as Fig. 3 is calculated, shown in Fig. 4:
Plane projection is carried out for Fig. 3 and Fig. 4, can obtain voltage deviation and operating cost relation, as a result such as Fig. 5, Fig. 6,
Shown in Fig. 7:By perspective view it can be seen that being incorporated to distributed power source after, can reduce grid net loss and voltage deviation, network loss with
Positive correlation is presented in voltage deviation.And as the reduction of voltage deviation and network loss, distributed power source operating cost can increase, voltage is inclined
Difference and grid net loss and the presentation of distributed power source operating cost are reversely related, and the variation relation of three is with distributed power source quantity
Increase and gradually weaken.
Under being respectively incorporated into power distribution network premised on 3 and 4 distributed power sources, four schemes, its result respectively have chosen
As shown in Table 1 and Table 2, wherein bracket inner digital represents that the distributed power source is incorporated to the node number in power distribution network.
Table 1 contains 3 distributed power source prioritization schemes
Table 2 contains 4 distributed power source prioritization schemes
Summary icon can be seen that in first wife's power network after addition distributed power source, and can play reduces former power network
Network loss, the effect of burning voltage deviation.In each four kinds of schemes more than, the capacity for the distributed power source that scheme one is incorporated to
Smaller, network loss reduces smaller, there is provided voltage support it is little, but operating cost is relatively low.Scheme four is in network loss reduction and voltage
Great role is played in both stable, but operating cost is higher, and the optimization that both schemes all represent in a certain respect is extreme.And
Scheme two and scheme three then integrate three targets and optimized, and are the schemes for comparing the golden mean of the Confucian school.
It is not simply by multiple target when NSGA- II optimizes for multi-objective problem compared with traditional genetic algorithm
Conversion turns to single goal and calculated.Avoid the randomness of the weight ratio in conversion process between each function.And NSGA-
Multigroup optimal solution can be calculated by optimization once in II algorithm optimization so that and disaggregation converges to the optimal forward positions of Pareto,
Algorithm more efficiency.Operating personnel can choose most suitable scheme according to the condition needed for oneself.
The present invention is disclosed with preferred embodiment above, so it is not intended to limiting the invention, all to use equivalent substitution
Or the technical scheme that equivalent transformation mode is obtained, it is within the scope of the present invention.
Claims (3)
- A kind of 1. power distribution network distributed power source addressing constant volume method, it is characterised in that:Comprise the following steps:1) constraints that determining distributed power source addressing constant volume should meet includes:1-1) node voltage constrains:Ui min≤Ui< Ui maxUiFor i-node voltage;Uimin、UimaxFor node i voltage bound;1-2) feeder current constrains:Ij≤Ij maxIjFor branch road j electric current;Ij maxAllow to pass through maximum current for branch road j;1-3) distributed power source capacity-constrained:S∑D≤SLS∑DFor distributed power source total capacity;SLFor the 10% of power network total capacity;Handled 1-4) for above-mentioned inequality constraints condition, during optimization using penalty factor method,<mrow> <msub> <mi>K</mi> <mi>u</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>K</mi> <mi>u</mi> </msub> <msup> <mrow> <mo>(</mo> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>min</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mtd> <mtd> <mrow> <msub> <mi>U</mi> <mi>i</mi> </msub> <mo><</mo> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>min</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>K</mi> <mi>u</mi> </msub> <msup> <mrow> <mo>(</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>max</mi> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mtd> <mtd> <mrow> <msub> <mi>U</mi> <mi>i</mi> </msub> <mo>></mo> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>max</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mrow> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>min</mi> </mrow> </msub> <mo>&le;</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <mo><</mo> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>max</mi> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>UiFor i-node voltage;Uimin、UimaxFor node i voltage bound;KuFor the penalty factor of node voltage, as to deviateing The punishment of operational limit, general value is larger, and when it meets that system voltage limitation requires, permanent value is 0;1-5) feeder current limits:<mrow> <msub> <mi>K</mi> <mi>l</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>I</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>K</mi> <mi>i</mi> </msub> <msup> <mrow> <mo>(</mo> <msub> <mi>I</mi> <mi>j</mi> </msub> <mo>-</mo> <msub> <mi>I</mi> <mrow> <mi>j</mi> <mi>max</mi> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mtd> <mtd> <mrow> <msub> <mi>I</mi> <mi>j</mi> </msub> <mo>></mo> <msub> <mi>I</mi> <mrow> <mi>j</mi> <mi>max</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mrow> <msub> <mi>I</mi> <mi>j</mi> </msub> <mo>&le;</mo> <msub> <mi>I</mi> <mrow> <mi>j</mi> <mi>max</mi> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>Wherein IjFor branch road j electric current;Ij maxAllow to pass through maximum current for branch road j;KiFor the penalty factor of branch current, when When electric current is not above allowing maximum current value on branch road, its permanent value is 0;When electric current exceedes maximum on branch road, then it takes One larger numerical value;1-6) distributed power source capacity-constrained:<mrow> <msub> <mi>K</mi> <mrow> <mi>&Sigma;</mi> <mi>D</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mrow> <mi>&Sigma;</mi> <mi>D</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = '{' close = ''> <mtable> <mtr> <mtd> <mrow> <msub> <mi>K</mi> <mrow> <mi>&Sigma;</mi> <mi>D</mi> </mrow> </msub> <msup> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mrow> <mi>&Sigma;</mi> <mi>D</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>S</mi> <mi>L</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mtd> <mtd> <mrow> <msub> <mi>S</mi> <mrow> <mi>&Sigma;</mi> <mi>D</mi> </mrow> </msub> <mo>></mo> <msub> <mi>S</mi> <mi>L</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mrow> <msub> <mi>S</mi> <mrow> <mi>&Sigma;</mi> <mi>D</mi> </mrow> </msub> <mo>&le;</mo> <msub> <mi>S</mi> <mi>L</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>Wherein S∑DFor distributed power source total capacity;SLFor the 10% of power network total capacity;K∑DFor the penalty factor of injection capacity, When the distributed power source capacity injected in power distribution network is less than permission injection rate, its value takes 0, when injection capacity exceedes limits value Then its value is larger;2) multiple-objection optimization based on NSGA-II algorithms is used, after to the address of distributed power source and capacity coding, random production A raw initial population;3) Load flow calculation is carried out to the individual in its initial population, be ranked up according to its target function value, then carry out heredity Operation obtains new population, and second generation population is obtained according to NSGA-II algorithm flows;4) operation up to reaching greatest iteration number, can obtain the optimum results of distributed power source addressing and constant volume repeatedly.
- 2. site selection of coal fired power plant constant volume method according to claim 1, it is characterised in that:Distributed power source addressing constant volume needs to examine The factor of worry includes the total loss minimization of power distribution network, distributed power source installation operating cost minimum and power distribution network total voltage deviation most It is small, i.e.,min f1=Plossmin f2=CDmin f3=DetVPlossFor network loss, CDFor distributed power source operating cost, DetV is total voltage deviation, f1, f2, f3It is divided into the total network loss of power network, Distributed power source operating cost and total voltage deviation minimum target function;<mrow> <msub> <mi>P</mi> <mrow> <mi>l</mi> <mi>o</mi> <mi>s</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>l</mi> </munderover> <msub> <mi>&Delta;P</mi> <mi>i</mi> </msub> </mrow>ΔPiFor branch road i active loss.L is power distribution network branch road sum;<mrow> <msub> <mi>C</mi> <mi>D</mi> </msub> <mo>=</mo> <msub> <mi>T</mi> <mi>max</mi> </msub> <munderover> <mo>&Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>&beta;</mi> <mi>j</mi> </msub> <msub> <mi>S</mi> <mrow> <mi>D</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>C</mi> <mrow> <mi>c</mi> <mi>j</mi> </mrow> </msub> </mrow>TmaxFor distributed power source maximum generation hourage;βjFor distributed power source j power factor;SDjFor distributed power source j's Capacity;CcjFor distributed power source j unit quantity of electricity costs, including the electricity price and construction cost of distributed power source,<mrow> <mi>D</mi> <mi>e</mi> <mi>t</mi> <mi>V</mi> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <mo>|</mo> <msup> <mi>U</mi> <mo>*</mo> </msup> <mo>-</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <mo>|</mo> </mrow>Wherein U*For the reference voltage value of power distribution network;UiThe magnitude of voltage of i-th of node.N represents nodes.
- 3. site selection of coal fired power plant constant volume method according to claim 1, it is characterised in that:Using multi-objective optimization theory to model Solved, it is specific as follows:Min f (x)=(f1..., f (x)p(x))Tgi(x) >=0, i ∈ Ihj(x)=0, j ∈ EProblem solving is carried out using non-dominated sorted genetic algorithm, it is not necessary to the weight ratio in each target is weighed, after optimization Obtain the Pareto optimal solutions of multi-objective problem.
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