CN116011224A - Power distribution network contact structure optimization method and system for improving maximum power supply capacity - Google Patents
Power distribution network contact structure optimization method and system for improving maximum power supply capacity Download PDFInfo
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Abstract
A power distribution network connection structure optimization method for improving maximum power supply capacity includes the steps of firstly establishing a power distribution network maximum power supply capacity calculation model considering alternating current power flow constraint, then establishing a power distribution network connection structure optimization model taking the power distribution network maximum power supply capacity calculation model considering alternating current power flow constraint as constraint conditions and taking maximum power supply capacity and minimum voltage offset as targets, and finally solving the power distribution network connection structure optimization model to obtain a power distribution network connection structure optimization scheme. The invention can more effectively excavate the power supply potential of the power distribution network, improve the maximum power supply capacity of the power distribution network and relieve the contradiction of unbalanced supply and demand.
Description
Technical Field
The invention belongs to the field of power distribution network structure optimization, and particularly relates to a power distribution network contact structure optimization method and system for improving maximum power supply capacity.
Background
With the continuous optimization of the economic structure of China, the contradiction between power supply and demand is always challenging. For the power distribution network formed by basic development, the important point is how to optimize the current power grid without increasing the site gallery resource load, and explore a new optimization method to solve the problem of contradiction between supply and demand.
The maximum power supply capacity of the power distribution network is the maximum load supply capacity under the condition of meeting all N-1 verification and practical operation constraints in a certain range, and the main influencing factor of the power distribution network is the connection structure of the network for the basic development of the power distribution network, so that the line connection energy is properly and reasonably increased, and the network power supply capacity is effectively improved. In the existing research and calculation process of the maximum power supply capacity, in order to reduce the complexity of a model and a solving method, only direct current power flow is considered and voltage loss and power loss are ignored; most of the time, when the power distribution network is optimally planned, the power distribution network is based on an economic index and a load balance index. On the one hand, the calculation result of the maximum power supply capacity is higher, and on the other hand, the capacity of only considering the economic efficiency and the load balance index of the power distribution network planning and mining network power supply potential is limited, so that the problem of contradiction between supply and demand cannot be relieved.
Disclosure of Invention
The invention aims to solve the problems in the prior art and provides a power distribution network connection structure optimization method and system for improving the maximum power supply capacity.
In order to achieve the above object, the technical scheme of the present invention is as follows:
the power distribution network contact structure optimization method for improving the maximum power supply capacity sequentially comprises the following steps of:
step A, establishing a calculation model of the maximum power supply capacity of the power distribution network taking alternating current power flow constraint into consideration;
step B, establishing a power distribution network connection structure optimization model taking a power distribution network maximum power supply capacity calculation model taking alternating current power flow constraint into consideration as constraint conditions and taking maximum power supply capacity and minimum voltage offset as targets;
and C, solving the power distribution network connection structure optimization model to obtain a power distribution network connection structure optimization scheme.
The objective function of the power distribution network contact structure optimization model is as follows:
minF(L f )＝[f 1 (L f ),f 2 (L f )] T
in the above, F (L f ) For optimization purposes, f 1 (L f ) Is the maximum power supply capacity maximum target, f 2 (L f ) For minimum voltage offset target, P TSC For the maximum power supply capacity of the distribution network,
for the load of the feeder M bands, M is the number of feeders,/->
For the power factor angle of the feed line voltage during normal operation, deltaU 2 For voltage offset +.>
U is the voltage of the feeder line m in normal operation n For the rated voltage of the feeder line n, U max 、U min The upper and lower voltage limits of the feeder line m, respectively.
The calculation model of the maximum power supply capacity of the power distribution network considering the alternating current power flow constraint comprises the following steps:
in the above-mentioned method, the step of,
load for feeder m band, +.>
Load to be transferred to the connection feeder n in case of failure of feeder mterfor +.>
For the load of the main transformer i connected with the belt, T i Is main transformer i->
For the line loss during normal operation of feeder m, < >>
Power factor angle for the feed line voltage during normal operation, < >>
For the voltage of the feeder line m in normal operation, R, X is the resistance and reactance of the feeder line per unit length, l m For the length of feeder line m from bus, j is imaginary singular,/>
Respectively representing longitudinal and transverse components of voltage drop of feeder line m in normal operation in the k+1th iteration process, re and Im respectively representing a real part and an imaginary part, U is feeder line voltage, and->
Is the voltage of the feeder m in normal operation in the k+1th iteration process, +.>
When the outlet of the feeder line m fails, a connecting switch between the feeder line m and the feeder line n is closed, and line loss generated on the feeder line n after the load of the feeder line m is transferred to the feeder line n is added, wherein the connecting switch is a switch which is connected with the load of the feeder line m through the connecting switch, and the connecting switch is a switch which is connected with the load of the feeder line m through the connecting switch>
Is the power factor angle of the feeder voltage at the time of failure, < + >>
Closing the voltage value l of the lower feeder line m for the tie switch between the feeder line m and the feeder line n when the outlet of the feeder line m fails mn For the length of the feed line mn>
When the outlet of the feeder line m fails, a connecting switch between the feeder line m and the feeder line n is closed, and the load of the feeder line m is transferred to the power loss of the outlet of the feeder line n after the feeder line n is carried over, wherein the power loss is +.>
For the load of the feeder n-band, L mn For the connection relationship between feeder m and feeder n, l n For the length of feeder n from the busbar, +.>
Closing the voltage value of the lower feeder n for the tie switch between feeder m and feeder n when the feeder m outlet fails, +.>
The vertical and horizontal components of voltage drop of the lower feeder n are respectively closed by a connecting switch between the feeder m and the feeder n when the outlet of the feeder m fails in the k+1th iteration process, and the number of the vertical and horizontal components is ∈>
Load value T transferred to contact main transformer j when main transformer i outlet fails j Is the main variant j.
The constraint conditions of the power distribution network maximum power supply capacity calculation model considering the alternating current power flow constraint comprise:
in the above-mentioned method, the step of,
load upper limit value for feeder n-band, +.>
Load of the upper band of main transformer i and upper limit value thereof>
Is the line loss when the feeder n is operating normally.
And C, solving a power distribution network contact structure optimization model by adopting an NSGA-II algorithm.
A power distribution network connection structure optimization system for improving maximum power supply capacity comprises a maximum power supply capacity calculation model building module, a power distribution network connection structure optimization model building module and a power distribution network connection structure optimization model solving module;
the maximum power supply capacity calculation model building module is used for building a power distribution network maximum power supply capacity calculation model considering alternating current power flow constraint;
the power distribution network connection structure optimization model building module is used for building a power distribution network connection structure optimization model which takes a power distribution network maximum power supply capacity calculation model taking alternating current power flow constraint into consideration as a constraint condition and takes maximum power supply capacity and minimum voltage offset as targets;
and the power distribution network contact structure optimization model solving module is used for solving the power distribution network contact structure optimization model and outputting a power distribution network contact structure optimization scheme.
Compared with the prior art, the invention has the beneficial effects that:
1. according to the power distribution network connection structure optimization method for improving the maximum power supply capacity, a power distribution network maximum power supply capacity calculation model considering alternating current power flow constraint is firstly established, then a power distribution network connection structure optimization model taking the power distribution network maximum power supply capacity calculation model considering alternating current power flow constraint as constraint conditions and taking the maximum power supply capacity and the minimum voltage offset as targets is established, and finally the power distribution network connection structure optimization model is solved to obtain a power distribution network connection structure optimization scheme.
2. According to the power distribution network connection structure optimization method for improving the maximum power supply capacity, the power distribution network maximum power supply capacity calculation model considering the alternating current power flow constraint simultaneously considers the alternating current power flow constraint, the voltage constraint, the main transformer capacity and the feeder line capacity, so that the calculation result of the model is closer to actual maximum power supply capacity data.
Drawings
FIG. 1 is a schematic flow chart of the present invention.
Fig. 2 is a topology diagram of an IEEE-33 node power distribution system employed in embodiment 1.
Fig. 3 is a topology diagram of the optimization scheme 1.
Fig. 4 is a topology diagram of optimization scheme 2.
Fig. 5 is a topology diagram of the optimization scheme 3.
Fig. 6 is a topology diagram of optimization scheme 4.
Fig. 7 is a topology diagram of the optimization scheme 5.
Fig. 8 is a schematic diagram of the system in embodiment 2.
Detailed Description
The present invention will be described in further detail with reference to the following detailed description and the accompanying drawings.
Example 1:
the embodiment takes an IEEE-33 node distribution system shown in fig. 2 as a research object, wherein the system has 32 10kV lines and 5 connecting lines l 25,29 、l 8,21 、l 12,22 、l 9,15 、l 18,33 (i.e. in FIG. 2)Node 1) is a power supply node, the reference voltage is 12.66kV, and the upper and lower voltage limits are 1.1p.u. and 0.9p.u., respectively.
Referring to fig. 1, a power distribution network connection structure optimization method for improving maximum power supply capability is sequentially performed according to the following steps:
1. based on the power flow constraint, the voltage constraint, the main transformer capacity constraint and the feeder capacity constraint, establishing a calculation model of the maximum power supply capacity of the power distribution network taking the alternating current power flow constraint into consideration, wherein the equation constraint of the calculation model comprises the following steps:
feeder segment load constraint:
in the above-mentioned method, the step of,
load for feeder m band, +.>
The load to be transferred to the connection feeder n when the feeder m outlet fails;
main transformer and feeder load equation constraint:
in the above-mentioned method, the step of,
for the load of the main transformer i connected with the belt, T i Is the main transformer i;
feeder line loss constraint during normal operation:
in the above-mentioned method, the step of,
for the line loss during normal operation of feeder m, < >>
Power factor angle for the feed line voltage during normal operation, < >>
For the voltage of the feeder line m in normal operation, R, X is the resistance and reactance of the feeder line per unit length, l m The length of the feeder line m from the bus is equal to the length of the feeder line m from the bus, and j is the imaginary singular number;
during normal operation, the voltage drop formula of the feeder line and the node voltage constraint:
in the above-mentioned method, the step of,
respectively representing longitudinal and transverse components of voltage drop of a feeder line m in normal operation in the k+1th iteration process, re and Im respectively representing a real part and an imaginary part, U represents feeder voltage, and->
The voltage of the feeder line m in the k+1th iteration process when the feeder line m normally operates;
tie-line loss constraint:
in the above-mentioned method, the step of,
when the outlet of the feeder line m fails, a connecting switch between the feeder line m and the feeder line n is closed, and line loss generated on the feeder line n after the load of the feeder line m is transferred to the feeder line n is added, wherein the connecting switch is a switch which is connected with the load of the feeder line m through the connecting switch, and the connecting switch is a switch which is connected with the load of the feeder line m through the connecting switch>
Is the power factor angle of the feeder voltage at the time of failure,
closing the voltage value l of the lower feeder line m for the tie switch between the feeder line m and the feeder line n when the outlet of the feeder line m fails mn Is the length of the feed line mn;
loss constraint for load transfer on tie-lines:
in the above-mentioned method, the step of,
when the outlet of the feeder line m fails, a connecting switch between the feeder line m and the feeder line n is closed, and the load of the feeder line m is transferred to the power loss of the outlet of the feeder line n after the feeder line n is carried over, wherein the power loss is +.>
For the load of the feeder n-band, L mn For the connection relationship between feeder m and feeder n, l n For the length of feeder n from the busbar, +.>
Closing the voltage value of the lower feeder n for the tie switch between feeder m and feeder n when the feeder m outlet fails, +.>
The vertical and horizontal components of voltage drop of the lower feeder n are closed by a tie switch between the feeder m and the feeder n when the outlet of the feeder m fails in the k+1th iteration process respectively;
and transferring to a load constraint of a contact main transformer when a fault occurs:
in the above-mentioned method, the step of,
load value T transferred to contact main transformer j when main transformer i outlet fails j Is the main transformer i;
inequality constraints include:
voltage constraint:
voltage constraints of feeder N-1 constraint and main transformer N-1 constraint:
feeder N-1 constraint:
in the above，
The upper limit value of the load of the feeder line n;
main transformer N-1 constraint:
in the above-mentioned method, the step of,
load of the upper band of main transformer i and upper limit value thereof>
Is the line loss when the feeder n is operating normally.
2. Establishing a power distribution network connection structure optimization model taking a power distribution network maximum power supply capacity calculation model considering alternating current power flow constraint as constraint conditions and taking maximum power supply capacity maximum and minimum voltage offset as targets, wherein an objective function of the power distribution network connection structure optimization model is as follows:
minF(L f )＝[f 1 (L f ),f 2 (L f )] T
in the above, F (L f ) For optimization purposes, f 1 (L f ) Is the maximum power supply capacity maximum target, f 2 (L f ) For minimum voltage offset target, P TSC For the maximum power supply capacity of the power distribution network, delta U 2 Is a voltage offset.
3. And solving the pareto front edge on the power distribution network connection structure optimization model by adopting an NSGA-II algorithm to obtain five power distribution network connection structure optimization schemes shown in figures 3-7.
Example 2:
referring to fig. 8, a power distribution network connection structure optimization system for improving maximum power supply capacity comprises a maximum power supply capacity calculation model building module 1, a power distribution network connection structure optimization model building module 2 and a power distribution network connection structure optimization model solving module 3;
the maximum power supply capacity calculation model building module 1 is used for building a power distribution network maximum power supply capacity calculation model considering alternating current power flow constraint;
the power distribution network connection structure optimization model building module 2 is used for building a power distribution network connection structure optimization model which takes a power distribution network maximum power supply capacity calculation model taking alternating current power flow constraint into consideration as a constraint condition and aims at maximum power supply capacity and minimum voltage offset;
the power distribution network contact structure optimization model solving module 3 is used for solving a power distribution network contact structure optimization model and outputting a power distribution network contact structure optimization scheme.
The initial conditions are set as follows: when k=1, node voltage
And (3) calculating the system power by using a push-forward substitution method under the initial condition aiming at the maximum power supply capacity calculation model of the power distribution network, which is established in the step one and considers the alternating current power flow constraint in the embodiment 1, until the iteration ending condition is met, so as to obtain various indexes of the initial power distribution network as shown in the table 1:
table 1 initial power distribution network index
The indexes of the contact structure optimization schemes of the power distribution networks obtained in the embodiment 1 are shown in table 2:
table 2 various indices of the optimized power distribution network
The optimizing scheme 1 adds a new connecting line between the node 7 and the node 8, between the node 9 and the node 10, between the node 14 and the node 15, between the node 28 and the node 29 and between the node 32 and the node 33, changes the connecting line between the node 8 and the node 21, between the node 9 and the node 15, between the node 12 and the node 22, between the node 18 and the node 33 and between the node 25 and the node 29 into a normal running line, changes the part of the overlong power supply line into other lines, and realizes load transfer. Compared with the initial distribution network, the maximum power supply capacity of the network is improved by 59.69%, and the voltage offset is reduced by 11.11%.
The optimizing scheme 2 adds a new connecting line between the node 9 and the node 10, between the node 14 and the node 15, between the node 28 and the node 29 and between the node 32 and the node 33, maintains the connecting line between the node 8 and the node 21, and changes the connecting line between the node 9 and the node 15, between the node 12 and the node 22, between the node 18 and the node 33 and between the node 25 and the node 29 into a normal running line. Compared with the initial distribution network, the maximum power supply capacity of the network is improved by 51.51%, and the voltage offset is reduced by 20.63%.
The optimizing scheme 3 adds a connecting line between the node 6 and the node 7, between the node 9 and the node 10, between the node 14 and the node 15, between the node 17 and the node 18, and between the node 28 and the node 29, and changes the connecting line between the node 8 and the node 21, between the node 9 and the node 15, between the node 12 and the node 22, between the node 18 and the node 33, and between the node 25 and the node 29 into a normal operation line. Compared with the initial distribution network, the maximum power supply capacity of the network is improved by 37.17%, and the voltage offset is reduced by 22.22%.
The optimizing scheme 4 adds a new connecting line between the node 9 and the node 10, between the node 14 and the node 15, between the node 17 and the node 18 and between the node 28 and the node 29, maintains the connecting line between the node 8 and the node 21, and changes the connecting line between the node 9 and the node 15, between the node 12 and the node 22, between the node 18 and the node 33 and between the node 25 and the node 29 into a normal running line. Compared with the initial distribution network, the maximum power supply capacity of the network is improved by 34.03%, and the voltage offset is reduced by 33.33%.
The optimizing scheme 5 adds a connecting line between the node 7 and the node 8, between the node 9 and the node 10, between the node 14 and the node 15, between the node 17 and the node 18, and between the node 28 and the node 29, and changes the connecting line between the node 8 and the node 21, between the node 9 and the node 15, between the node 12 and the node 22, between the node 18 and the node 33, and between the node 25 and the node 29 into a normal operation line. Compared with the initial distribution network, the maximum power supply capacity of the network is improved by 28.06%, and the voltage offset is reduced by 36.51%.
Therefore, the invention effectively improves the maximum power supply capacity of the power distribution system and can fully mine the power supply potential of the network.
Claims (6)
1. A power distribution network contact structure optimization method for improving maximum power supply capacity is characterized by comprising the following steps of:
the optimization method sequentially comprises the following steps:
step A, establishing a calculation model of the maximum power supply capacity of the power distribution network taking alternating current power flow constraint into consideration;
step B, establishing a power distribution network connection structure optimization model taking a power distribution network maximum power supply capacity calculation model taking alternating current power flow constraint into consideration as constraint conditions and taking maximum power supply capacity and minimum voltage offset as targets;
and C, solving the power distribution network connection structure optimization model to obtain a power distribution network connection structure optimization scheme.
2. The power distribution network contact structure optimization method for improving maximum power supply capacity according to claim 1, wherein the method comprises the following steps:
the objective function of the power distribution network contact structure optimization model is as follows:
minF(L f )＝[f 1 (L f ),f 2 (L f )] T
in the above, F (L f ) For optimization purposes, f 1 (L f ) Is the maximum power supply capacity maximum target, f 2 (L f ) For minimum voltage offset target, P TSC For the maximum power supply capacity of the distribution network,
for the load of the feeder M bands, M is the number of feeders,/->
For the power factor angle of the feed line voltage during normal operation, deltaU 2 For voltage offset +.>
U is the voltage of the feeder line m in normal operation n For the rated voltage of the feeder line n, U max 、U min The upper and lower voltage limits of the feeder line m, respectively.
3. The power distribution network contact structure optimization method for improving maximum power supply capacity according to claim 2, wherein the method comprises the following steps:
the calculation model of the maximum power supply capacity of the power distribution network considering the alternating current power flow constraint comprises the following steps:
in the above-mentioned method, the step of,
load for feeder m band, +.>
Load to be transferred to the connection feeder n in case of failure of feeder mterfor +.>
For the load of the main transformer i connected with the belt, T i Is main transformer i->
For the line loss during normal operation of feeder m, < >>
Power factor angle for the feed line voltage during normal operation, < >>
For the voltage of the feeder line m in normal operation, R, X is the resistance and reactance of the feeder line per unit length, l m For the length of feeder line m from bus, j is imaginary singular,/>
Respectively representing longitudinal and transverse components of voltage drop of feeder line m in normal operation in the k+1th iteration process, re and Im respectively representing a real part and an imaginary part, U is feeder line voltage, and->
Is the voltage of the feeder m in normal operation in the k+1th iteration process, +.>
When the outlet of the feeder line m fails, a connecting switch between the feeder line m and the feeder line n is closed, and line loss generated on the feeder line n after the load of the feeder line m is transferred to the feeder line n is added, wherein the connecting switch is a switch which is connected with the load of the feeder line m through the connecting switch, and the connecting switch is a switch which is connected with the load of the feeder line m through the connecting switch>
Is the power factor angle of the feeder voltage at the time of failure, < + >>
When the feeder line m outlet fails,The tie switch between the feeder line m and the feeder line n closes the voltage value l of the lower feeder line m mn For the length of the feed line mn>
When the outlet of the feeder line m fails, a connecting switch between the feeder line m and the feeder line n is closed, and the load of the feeder line m is transferred to the power loss of the outlet of the feeder line n after the feeder line n is carried over, wherein the power loss is +.>
For the load of the feeder n-band, L mn For the connection relationship between feeder m and feeder n, l n For the length of feeder n from the busbar, +.>
Closing the voltage value of the lower feeder n for the tie switch between feeder m and feeder n when the feeder m outlet fails, +.>
The vertical and horizontal components of voltage drop of the lower feeder n are respectively closed by a connecting switch between the feeder m and the feeder n when the outlet of the feeder m fails in the k+1th iteration process, and the number of the vertical and horizontal components is ∈>
Load value T transferred to contact main transformer j when main transformer i outlet fails j Is the main variant j.
4. A method for optimizing a connection structure of a power distribution network for enhancing maximum power supply capacity according to claim 3, wherein:
the constraint conditions of the power distribution network maximum power supply capacity calculation model considering the alternating current power flow constraint comprise:
in the above-mentioned method, the step of,
load upper limit value for feeder n-band, +.>
Load of the upper band of main transformer i and upper limit value thereof>
Is the line loss when the feeder n is operating normally.
5. The power distribution network contact structure optimization method for improving maximum power supply capacity according to claim 1 or 2, wherein the method comprises the following steps of: and C, solving a power distribution network contact structure optimization model by adopting an NSGA-II algorithm.
6. Power distribution network contact structure optimizing system capable of improving maximum power supply capacity is characterized in that:
the optimizing system comprises a maximum power supply capacity computing model building module (1), a power distribution network contact structure optimizing model building module (2) and a power distribution network contact structure optimizing model solving module (3);
the maximum power supply capacity calculation model building module (1) is used for building a power distribution network maximum power supply capacity calculation model considering alternating current power flow constraint;
the power distribution network connection structure optimization model construction module (2) is used for building a power distribution network connection structure optimization model taking a power distribution network maximum power supply capacity calculation model taking alternating current power flow constraint into consideration as constraint conditions and taking maximum power supply capacity maximum and minimum voltage offset as targets;
and the power distribution network contact structure optimization model solving module (3) is used for solving a power distribution network contact structure optimization model and outputting a power distribution network contact structure optimization scheme.
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