CN109713670B - Fault recovery control optimization method based on three-port flexible multi-state switch - Google Patents
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Abstract
The invention discloses a fault recovery control optimization method based on a three-port flexible multi-state switch, which comprises the steps of establishing each single objective function by taking the minimum load power loss amount of a power loss area, the maximum feeder line load balancing factor and the minimum network loss as targets according to system parameters, and establishing a multi-objective optimization function by utilizing each objective function normalization value and each target weight vector; the method comprises the following steps of forming a load power supply recovery optimization regulation model of the three-port flexible multi-state switch by using feeder line power balance, three-port flexible multi-state switch operation, three-port flexible multi-state switch maximum capacity and important load uninterrupted as constraint conditions and using a multi-objective optimization function and the constraint conditions; the method and the device can realize uninterrupted power supply of important loads of the power distribution network and improve the balance degree and the power supply reliability of a feeder line.
Description
Technical Field
The invention relates to a fault recovery control optimization method in a power distribution network, in particular to a fault recovery control optimization method based on a three-port flexible multi-state switch.
Background
At present, the problems of construction lag, unreasonable structure, limited regulation and control means and the like exist in the power distribution network, and the flexibility of operation control of the power distribution network and the load balance degree of a feeder line are further influenced. The flexible multi-state switch can realize flexible regulation and control of the power distribution network, thereby drawing attention. The flexible multi-state switch is a power electronic converter connected between two or more feeders in a power distribution network, adopts a new power electronic technology, has two states of on and off, increases a continuous and controllable power state, and has the characteristics of flexible switching of operation modes, flexible and various control modes and the like.
The flexible multi-state switch is connected with the adjacent feeder lines to provide a standby power supply line, and after the feeder lines have power loss faults, the flexible multi-state switch can quickly recover important load power supply in a non-fault power loss area, so that the self-healing function of the power distribution network is realized. Due to different load conditions on the feeder lines, power flow between the radial feeder lines is unbalanced, power loss is high, the power distribution network with the flexible multi-state switch is upgraded to a closed-loop structure, load balance degree on the feeder lines is higher, and power supply reliability is improved.
However, a fault recovery control optimization method based on a three-port flexible multi-state switch has not been reported publicly so far.
Disclosure of Invention
The invention provides a fault recovery control optimization method based on a three-port flexible multi-state switch, which can realize uninterrupted power supply of important loads of a power distribution network and higher feeder line balance degree to avoid the defects in the prior art.
The invention adopts the following technical scheme for solving the technical problems:
the invention relates to a fault recovery control optimization method based on a three-port flexible multi-state switch, which is characterized by comprising the following steps of:
step 2, respectively establishing single objective functions by taking the minimum load power loss amount of a power loss area, the maximum feeder line load balance factor and the minimum network loss as targets according to the system parameters, calculating by adopting an analytic hierarchy process to obtain each target weight vector, and establishing a multi-objective optimization function by utilizing each target weight vector and a single objective function normalized value; the method comprises the following steps that a three-port flexible multi-state switch load power supply recovery optimization regulation model is formed by a multi-objective optimization function and constraint conditions by taking feeder line power balance, three-port flexible multi-state switch operation, three-port flexible multi-state switch maximum capacity and important load uninterrupted as constraint conditions;
and 3, obtaining an optimal power supply value of a normal grid-connected side in the three ports by solving the load power supply recovery optimization regulation and control model of the three-port flexible multi-state switch, and optimizing the fault recovery control by taking the optimal power supply value as an active power reference value of the power control.
The fault recovery control optimization method based on the three-port flexible multi-state switch is also characterized in that:
the objective function f taking the minimum load power loss amount of the power loss area as the target1Characterized by formula (1):
f1＝maxP3 (1)
P3the flowing power of a switch connected with the power-losing feeder is taken as positive flowing out and negative flowing in;
the objective function f with the maximum feeder line load balance factor as the target2Characterized by formula (2):
αmthe load rate of a non-loss feeder m is 1, 2, and beta is the average load rate;
the objective function f with the aim of minimizing network loss3Characterized by formula (3):
Pnthe switching flowing power connected with a feeder line n is selected to be positive when flowing out and negative when flowing in, wherein n is 1, 2 and 3;
resistance RnN line resistances are used as the feeder lines; u is a system reference voltage;
the feeder n comprises a power-losing feeder and a non-power-losing feeder m;
the multi-objective optimization function f is characterized by equation (4):
f＝max(ω1f1'+ω2f2'－ω3f3') (4)
f1'，f2' and f3' one-to-one correspondence to each objective function f1，f2And f3Conversion to interval [0,1]A normalized value of (d);
ω1，ω2and ω3Respectively, the weight vectors of the corresponding targets.
The fault recovery control optimization method based on the three-port flexible multi-state switch is also characterized in that:
the constraint of feeder power balance is characterized by equation (5):
PGm-PLm＝Pm (5)
wherein, PGmPower generation for generator with non-loss feed line m, PLmLoad power, P, for non-loss-of-power feeder mmThe flowing power of a switch connected with the non-loss feeder m is taken as positive flowing out and negative flowing in;
the constraint condition of the operation of the three-port flexible multi-state switch is characterized by an equation (6):
wherein, PnTaking the flowing-out as positive and the flowing-in as negative for the flowing power of the switch connected with the feeder line n;
the constraint condition of the maximum capacity of the three-port flexible multi-state switch is characterized by an equation (7):
the constraint condition of uninterrupted power supply of the important load is characterized by an equation (8):
P3≥PL3Inportant (8)
PL3Inportantis important load power on the power-loss feeder.
The fault recovery control optimization method based on the three-port flexible multi-state switch is also characterized in that: aiming at the problem of fault recovery, the targets are graded according to the importance as follows:
the load power loss amount of the power loss area reflects the effect of load power restoration and serves as a level 1 target;
the feeder load balance factor reflects the effect of power restoration of the power supply and serves as a level 2 target;
the network loss reflects the economic operation condition of the system and serves as a 3 rd level target;
thus determining the decision matrix J in the analytic hierarchy process is characterized by equation (9):
obtaining each target weight vector omega according to a judgment matrix J represented by formula (9)1，ω2And ω3Comprises the following steps:
[ω1,ω2,ω3]＝[0.478,0.350,0.172]
the multi-objective optimization function f obtained by using the target weight vectors and the target function normalization values is represented by equation (4).
Compared with the prior art, the invention has the beneficial effects that:
1. the fault recovery control optimization method based on the three-port flexible multi-state switch can realize uninterrupted power supply of important loads of the power distribution network and higher feeder line balance degree.
2. The method achieves the purpose of minimum load loss amount while realizing important load power supply by establishing the objective function with minimum load loss amount in the power loss area, improves the load balance degree of the feeder line by establishing the objective function with the maximum load balance factor of the feeder line, meets the economic requirement of the power distribution network by establishing the objective function with minimum network loss, and provides a basis for subsequent power supply recovery.
3. The three-port flexible multi-state switch increases the power continuous controllable state on the basis of on and off states, and realizes the tidal current mutual aid among the ports.
4. The fault recovery control optimization method adopted by the invention improves the power supply reliability while giving consideration to the requirements of the feeder line balance degree and the economy.
Drawings
FIG. 1 is a flow chart of a fault recovery control method based on a three-port flexible multi-state switch according to the present invention;
FIG. 2 is a schematic diagram of a three-port flexible multi-state switch connected to a power distribution network under a condition of power loss of one feeder line;
fig. 3 is a comparison histogram before and after optimization of load loss and feeder line balance.
Detailed description of the invention
Referring to fig. 1, the fault recovery control optimization method based on the three-port flexible multi-state switch in the present embodiment is performed as follows:
Referring to fig. 2, in the present embodiment, the three-port flexible multi-state switch of the power distribution network is connected to three feeders, which are a feeder 1, a feeder 2, and a feeder 3, respectively, and the feeder 1 and the feeder 2 are set as non-loss feeders, and the feeder 3 is a loss feeder; determining that the power loss equivalent resistances of the three feeders are all 1m omega, the filter inductance on the alternating current side is all 0.5mH, the load of the feeder 1 is a resistance load of 0.082 omega, the load of the feeder 2 is a resistance load of 0.1 omega, the load of the feeder 3 is a resistance load of 0.1 omega, the important load of the feeder 3 is a resistance load of 1 omega, the transmission capacities of the feeder 1, the feeder 2 and the feeder 3 are respectively 3.4MVA, 1.7MVA and 1.9MVA, the rated capacity of the three-port flexible multi-state switch is 0.4MVA, the voltage of an alternating current system is 380V/50Hz, the direct current bus voltage control target of the three-port flexible multi-state switch is 1000V, and the support capacitance on the direct current side is 10000 muF.
Step 2, respectively establishing a single objective function by taking the minimum load power loss amount of a power loss area, the maximum feeder line load balancing factor and the minimum network loss as targets according to system parameters, wherein the minimum load power loss amount of the power loss area realizes the minimum load power loss amount while supplying power to important loads; the feeder load balance factor improves the feeder load balance to the maximum; the network loss meets the economic requirement of the power distribution network at minimum; because the importance of each target is different, calculating by adopting an analytic hierarchy process according to the importance level of each target to obtain each target weight vector, and establishing a multi-target optimization function by utilizing each target weight vector and each single target function normalization value; and the load power supply recovery optimization regulation and control model of the three-port flexible multi-state switch is formed by a multi-objective optimization function and constraint conditions by taking feeder power balance, three-port flexible multi-state switch operation, three-port flexible multi-state switch maximum capacity and important load uninterrupted as constraint conditions.
And 3, obtaining an optimal power supply value of the normal grid-connected side in the three ports by solving the three-port flexible multi-state switch load power supply recovery optimization regulation and control model, and realizing the optimization of fault recovery control by taking the optimal power supply value as an active power reference value of power control in a matlab simulation experiment.
In specific implementation, the objective function f with the minimum load power loss amount of the power loss area as the target is used1Characterized by formula (1):
f1＝maxP3 (1)
P3the power of the switch flow connected with the power-losing feeder is taken as positive and negative.
Target function f with maximum feeder load balance factor as target2Characterized by formula (2):
αmthe load rate of the non-loss feeder m is 1, 2, and beta is the average load rate.
Objective function f with minimum network loss as target3Characterized by formula (3):
Pnthe switching flowing power connected with a feeder line n is selected to be positive when flowing out and negative when flowing in, wherein n is 1, 2 and 3;
resistance RnN line resistances are used as the feeder lines; u is a system reference voltage; the feeder n comprises a power loss feeder and a non-power loss feeder m.
The multi-objective optimization function f is characterized by equation (4):
f＝max(ω1f1'+ω2f2'－ω3f3') (4)
f1'，f2' and f3' one-to-one correspondence to each objective function f1，f2And f3Conversion to interval [0,1]A normalized value of (d); omega1，ω2And ω3Respectively, the weight vectors of the corresponding targets.
In a specific implementation, the constraint condition of the feeder power balance is characterized by equation (5):
PGm-PLm＝Pm (5)
wherein, PGmPower generation for generator with non-loss feed line m, PLmLoad power, P, for non-loss-of-power feeder mmThe power of the switch flow connected with the non-loss feeder m is taken as positive and negative.
The constraint condition of the operation of the three-port flexible multi-state switch is characterized by an equation (6):
wherein, PnTaking the flowing-out as positive and the flowing-in as negative for the flowing power of the switch connected with the feeder line n;
the constraint condition of the maximum capacity of the three-port flexible multi-state switch is characterized by an equation (7):
the constraint condition of uninterrupted power supply of the important load is characterized by an equation (8):
P3≥PL3Inportant (8)
PL3Inportantis important load power on the power-loss feeder.
In this embodiment, for the problem of failure recovery, the targets are ranked according to importance as follows:
the load power loss amount of the power loss area reflects the effect of load power restoration and serves as a level 1 target; the feeder load balance factor reflects the effect of power restoration of the power supply and serves as a level 2 target; the network loss reflects the system economic operation as a class 3 target.
The analytic hierarchy process includes determining the weight between the targets through mutual comparison and judging the elements a in the matrix JijThe value of (a) is a value of comparing the importance of the ith grade target to the jth grade index two by two, wherein aii＝1，aij＞0，
If take a121, indicating that the 1 st tier objective is equally important as the 2 nd tier objective, and a211 is ═ 1; if a is taken12If 2 indicates that the 1 st level objective is slightly more important than the 2 nd level objective, then
Indicating that the level 2 objective is slightly less important than the level 1 objective; if a is taken123, it indicates that the 1 st level objective is important relative to the 2 nd level objective, and
indicating that the level 2 objective is minor relative to the level 1 objective. Thus, the determination of the decision matrix J in the analytic hierarchy process is characterized by equation (9):
matrix processing is carried out on the judgment matrix J represented by the formula (9) to obtain each target weight vector omega1，ω2And ω3：
Calculating to obtain the element product M of the ith row of the judgment matrix JiComprises the following steps:
calculating to obtain MiRoot of 3 times WiComprises the following steps:
for vector W1,W2And W3Normalizing to obtain a judgment matrix J to obtain each target weight vector omega1，ω2And ω3Comprises the following steps:
[ω1,ω2,ω3]＝[0.478,0.350,0.172]
and (3) the multi-objective optimization function f obtained by utilizing the target weight vectors and the target function normalization values is represented by the formula (4), and a three-port flexible multi-state switch load power supply restoration optimization regulation and control model is formed by the multi-objective optimization function and the constraint condition.
In specific implementation, the load power supply recovery optimization regulation and control model of the three-port flexible multi-state switch solved by the GAMS programming of the optimization planning software is utilized to obtain the normal grid connection in the three portsSide optimum power supply value P1And P2And the optimal power supply value is used as an active power reference value of power control in the matlab simulation experiment, so that the optimization of fault recovery control is realized.
The results of the optimized three-port flexible multi-state switch load power supply recovery optimization regulation model are subjected to simulation experiments in matlab software, and a switch connected with a feeder 1 in a power distribution network is U-shapeddcThe Q control mode is operated, the switch connected with the feeder 2 is operated in the PQ control mode, and the switch connected with the feeder 3 is operated in the droop control mode; flexible multi-state switch three-port transmission active power P1、P2、P30.144MVA, 0.256MVA and-0.4 MVA were taken, respectively.
The matlab simulation experiment result shows that 17.5% of feeder load on the power-loss feeder recovers power supply, and the power-loss feeder includes 10% of important load; the load balance degree before and after optimization of the non-fault feeder line is improved from 83.43% to 94.90%, the comparison histogram of the load power loss and the feeder line balance degree before and after optimization is shown in fig. 3, and the matlab simulation experiment result shows that the fault recovery control optimization method based on the three-port flexible multi-state switch can effectively guarantee the power supply of important loads and balance the feeder line loads.
Claims (2)
1. The fault recovery control optimization method based on the three-port flexible multi-state switch is characterized by comprising the following steps of:
step 1, determining system parameters including line parameters, load levels, access positions of a three-port flexible multi-state switch, capacity of the three-port flexible multi-state switch, proportion of important loads to total loads, system reference voltage and operation states of feeders;
step 2, respectively establishing single objective functions by taking the minimum load power loss amount of a power loss area, the maximum feeder line load balance factor and the minimum network loss as targets according to the system parameters, calculating by adopting an analytic hierarchy process to obtain each target weight vector, and establishing a multi-objective optimization function by utilizing each target weight vector and a single objective function normalized value; the method comprises the following steps that a three-port flexible multi-state switch load power supply recovery optimization regulation model is formed by a multi-objective optimization function and constraint conditions by taking feeder line power balance, three-port flexible multi-state switch operation, three-port flexible multi-state switch maximum capacity and important load uninterrupted as constraint conditions;
step 3, obtaining an optimal power supply value of a normal grid-connected side in the three ports by solving the load power supply recovery optimization regulation and control model of the three-port flexible multi-state switch, and optimizing fault recovery control by taking the optimal power supply value as an active power reference value of power control;
the objective function f taking the minimum load power loss amount of the power loss area as the target1Characterized by formula (1):
f1＝max P3 (1)
P3the flowing power of a switch connected with the power-losing feeder is taken as positive flowing out and negative flowing in;
the objective function f with the maximum feeder line load balance factor as the target2Characterized by formula (2):
αmthe load rate of a non-loss feeder m is 1, 2, and beta is the average load rate;
the objective function f with the aim of minimizing network loss3Characterized by formula (3):
Pnthe switching flowing power connected with a feeder line n is selected to be positive when flowing out and negative when flowing in, wherein n is 1, 2 and 3;
resistance RnN line resistances are used as the feeder lines; u is a system reference voltage;
the feeder n comprises a power-losing feeder and a non-power-losing feeder m;
the multi-objective optimization function f is characterized by equation (4):
f＝max(ω1f1'+ω2f2'－ω3f3') (4)
f1'，f2' and f3' one-to-one correspondence to each objective function f1，f2And f3Conversion to interval [0,1]A normalized value of (d);
ω1，ω2and ω3Respectively are weight vectors of corresponding targets;
the constraint of feeder power balance is characterized by equation (5):
PGm-PLm＝Pm (5)
wherein, PGmPower generation for generator with non-loss feed line m, PLmLoad power, P, for non-loss-of-power feeder mmThe flowing power of a switch connected with the non-loss feeder m is taken as positive flowing out and negative flowing in;
the constraint condition of the operation of the three-port flexible multi-state switch is characterized by an equation (6):
wherein, PnTaking the flowing-out as positive and the flowing-in as negative for the flowing power of the switch connected with the feeder line n;
the constraint condition of the maximum capacity of the three-port flexible multi-state switch is characterized by an equation (7):
the constraint condition of uninterrupted power supply of the important load is characterized by an equation (8):
P3≥PL3Inportant (8)
PL3Inportantis important load power on the power-loss feeder.
2. The three-port flexible multi-state switch-based fault recovery control optimization method of claim 1, wherein: aiming at the problem of fault recovery, the targets are graded according to the importance as follows:
the load power loss amount of the power loss area reflects the effect of load power restoration and serves as a level 1 target;
the feeder load balance factor reflects the effect of power restoration of the power supply and serves as a level 2 target;
the network loss reflects the economic operation condition of the system and serves as a 3 rd level target;
thus determining the decision matrix J in the analytic hierarchy process is characterized by equation (9):
obtaining each target weight vector omega according to a judgment matrix J represented by formula (9)1，ω2And ω3Comprises the following steps:
[ω1,ω2,ω3]＝[0.478,0.350,0.172]；
the multi-objective optimization function f obtained by using the target weight vectors and the target function normalization values is represented by equation (4).
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