Summary of the invention
The shortcoming that the object of the invention is to overcome prior art, with not enough, provides a kind of Power System Expansion black-start method that contains microgrid.
Object of the present invention realizes by following technical scheme:
A Power System Expansion black-start method that contains microgrid, the step that comprises following order:
S1. according to the actual conditions of power failure system, utilize the recovery subsystem partitioning algorithm based on complex network community structure to be divided into several recovery subsystems;
S2. according to using microgrid as black startup power supply and a black startup power supply start many expanding policies that are activated unit simultaneously, the Power System Expansion black-start scheme that contains microgrid is solved and is optimized;
S3. according to determined optimal case, the microgrid in each recovery subsystem charges to the restoration path of this recovery subsystem, progressively expands recovery scope and realizes each recovery subsystem bulk supply;
S4. divide precedence according to recovery subsystem and determine precedence arranged side by side, each recovery subsystem is undertaken side by side by corresponding order after starting successfully black, realizes whole power system recovery and powers.
Described step S2 specifically comprises the following steps:
(1) take the parameter characteristic of microgrid and power failure system as constraint condition, according to the black startup strategy of expansion, utilize average optimal allocation algorithm to improve Dijkstra algorithm, and for searching for the restoration path of each black startup power supply, produce the tentative programme that meets constraint condition of each recovery subsystem;
(2) utilize entropy power fuzzy overall evaluation algorithm to evaluate the tentative programme of each recovery subsystem, the optimum expansion black-start scheme that the scheme of selecting comprehensive evaluation value maximum is each recovery subsystem.
In step S2, the parameter characteristic take microgrid and power failure system in described step (1), as constraint condition, specifically comprises: starting power constraint, be activated unit warm start time-constrain, reactive power constraint, self-excitation constraint, system load flow constraint, start Unit commitment, node voltage constraint and circuit transmission constraint.
In step S2, average optimal allocation algorithm in described step (1), be divided in different level set according to the priority level that is activated unit, and be activated unit according to the circulation of specific average optimal distribution principle for each the black startup power distribution in same recovery subsystem.To realize the maximization of black startup power utilization efficiency.
Described step S3 specifically comprises the following steps:
(1) the black startup power supply using microgrid as each recovery subsystem, microgrid is converted to system by the islet operation state in system failure stage and recovers the state that is incorporated into the power networks in stage;
(2) expand black startup restoration path according to optimum, each black startup power supply is activated unit to many in same recovery subsystem simultaneously starting power is provided, and starts many simultaneously and is activated unit;
(3) adopt black startup power supply be activated unit arranged side by side or many be activated unit mode arranged side by side and form the black startup power supply that capacity is larger, make the black startup of next round can start the units that are activated more simultaneously, loop until realize the bulk supply of each recovery subsystem;
(4), according to the virtual condition of each recovery subsystem and the operation control requirement of microgrid that recover after bulk supply, determine that microgrid keeps the state that is incorporated into the power networks or is switched to islet operation state.
Compared with prior art, tool has the following advantages and beneficial effect in the present invention:
1, the present invention is by graph theory thought, NETWORK STRUCTURE PRESERVING POWER SYSTEM is converted to the acyclic non-directed graph take the path between unit as weights, the path recovery problem solving in figure is the optimal tree problem that solves figure in graph theory, has adopted Dijkstra algorithm to search for the shortest restoration path at this; The basic thought of Dijkstra algorithm is that two fixed point set T and S are set, and deposits the fixed point set of having found shortest path in S set, deposits the fixed point of the current shortest path also not finding in T; When original state, in S set, only comprise initial point v
0, then constantly from set T, choose fixed point v
0the shortest summit u of path adds S set; In S set, often add a new summit u, all will revise fixed point v
0to gathering the shortest path length value that remains summit in T; In set T, to be original shortest path length value add that with the shortest path length value of fixed point u u is to the smaller value in the path value on this summit to the new shortest path length value in each summit; This process constantly repeats, until the summit of set T all joins S set; In derivation algorithm, utilize the black startup constraint condition of the expansion that contains microgrid to find suitable being activated unit and forming expansion black-start scheme according to certain putting in order, wherein putting in order is the boot sequence of unit in scheme; Especially, even if it is identical to be activated unit, boot sequence difference, the black-start scheme forming is also different, Dijkstra algorithm goes to find the shortest startup path of corresponding unit according to the different boot sequence of unit in scheme;
Average optimal allocation algorithm is that the present invention puts forward for realizing black startup expanding policy, be divided in different level set according to the priority level that is activated unit, and circulate for each the black startup power distribution in same recovery subsystem is activated unit, to realize the maximization of black startup power utilization efficiency according to specific average optimal distribution principle.
2, the present invention by introducing microgrid and black startup expanding policy in the black startup of conventional electric power system, using microgrid as black startup power supply, also start many is activated unit simultaneously, the Power System Expansion black-start scheme that contains microgrid is solved and optimized, thereby obtain the optimum expansion black-start scheme of power failure system, and the bulk supply that progressively recovers to have a power failure system according to determined optimum expansion black-start scheme, accelerate to a great extent the recovering process after electric system has a power failure, thereby reduce the electric system economic loss of bringing that has a power failure, also given full play to microgrid in the effect solving in electric system problem simultaneously.
3, Dijkstra algorithm is existing algorithm, can be for general one one of black startup power initiation be activated the search in the black startup path of unit, average optimal allocation algorithm is that this patent is for the black a kind of new algorithm that starts strategy proposition of expansion, its essence is Dijkstra algorithm and average optimal allocation algorithm are combined to the search for expanding black startup path, its efficiency is higher.
Embodiment
Below in conjunction with embodiment and accompanying drawing, the present invention is described in further detail, but embodiments of the present invention are not limited to this.
As shown in Figure 1, a kind of Power System Expansion black-start scheme that contains microgrid of the present embodiment specifically comprises the steps:
Step 1: according to the actual conditions of power failure system, utilize the recovery subsystem partitioning algorithm based on complex network community structure to be divided into several recovery subsystems;
In conjunction with the requirement of the feature that contains microgrid and power system blackstart expanding policy, the specific implementation step of the recovery subsystem partitioning algorithm based on complex network community structure in the present embodiment is as follows:
(1) electric power networks is simplified, and represented with abstract graph;
(2) betweenness on all limits in computational grid;
(3) find the limit that betweenness is the highest and it is removed from network;
(4) judge whether to occur new subregion, if there is new subregion, calculate modularity index now;
(5) recalculate the betweenness on all limits in the network after being removed of limit that betweenness is the highest;
(6) get back to step (3), until all corporations of each comfortable degeneration of node at each black startup unit place;
(7) the modularity index of the subregion that calculating finally obtains, with the rationality that judges that recovery subsystem is divided, judge whether the last modularity index of calculating is maximal value, if be not maximal value, consider to merge the corporations that a part has divided, if reach maximal value, continue next step, need in addition to judge in each subregion that division like this obtains and whether comprise black startup power supply (paying the utmost attention to using microgrid as black startup power supply), if not, should be by this subregion and its subregion (with its subregion being finally divided out) merging the most closely;
(8) add up Active Generation capacity and the load of each subregion, in judging area, whether substantially maintain balance, if exist serious unevenly, consider to repartition being in borderline node, in a basic balance to maintain Active Generation capacity and load in subsystem;
(9) sequencing splitting off according to each recovery subsystem judges the order of each subregion synchronous concatenation;
Step 2: according to using microgrid as black startup power supply and a black startup power supply start many expanding policies that are activated unit simultaneously, the Power System Expansion black-start scheme that contains microgrid is solved and is optimized, as shown in Figure 2, specifically comprise the following steps:
Step 2-1: take the parameter characteristic of microgrid and power failure system as constraint condition, according to the black startup strategy of expansion, utilize average optimal allocation algorithm to improve Dijkstra algorithm and for searching for the restoration path of each black startup power supply, produce the tentative programme that meets constraint condition of each recovery subsystem;
Wherein, the described parameter characteristic take microgrid and power failure system, as constraint condition, specifically comprises:
(1) starting power constraint: be activated the required power sum of unit starting and should be less than the starting power sum that black startup power supply can provide, be
In formula, P
icbe i and be activated the required starting power of unit; n
cfor being activated the number of units of unit; K
1for meritorious reliability coefficient, value is less than 1; P
0for the starting power sum that black startup power supply provides, its value is
In formula, P
brfor the starting power that black startup unit r provides, its value also should retain certain stand-by heat except the reliability service of the black startup unit of assurance; n
bfor the number of units of black startup unit;
(2) be activated unit warm start time-constrain: the maximum critical heat that is activated unit should be greater than path release time start-up time, is
T
iMAX>t
0
In formula, T
iMAXfor the maximum critical heat start-up time of unit i; t
0for path release time;
(3) reactive power constraint: the restoration path of expansion black-start scheme is considering that the residue charge power sum after high resistance or low anti-compensation can not exceed total reactive absorption capacity of black startup unit, is
In formula, n
lfor expanding the number of lines of black startup restoration path; Q
ljbe that j article of circuit considered the residue charging reactive power after high resistance or low anti-compensation; Q
bmaxfor the absorbent maximum reactive power of black startup power supply, its value is
In formula, K
2for idle reliability coefficient, value is less than 1; Q
rfor the absorbent maximum reactive power of black starter motor r;
(4) self-excitation constraint: generator external circuit considers that the rated capacity that the circuit residue charge power after high resistance or low anti-compensation is less than black startup unit amasss with short-circuit ratio is, is
In formula, S
brfor the rated capacity of black startup unit r; K
cBrfor the short-circuit ratio of black startup unit r;
(5) system load flow constraint
f(x,u,p)=0
In formula, x is system state variables (generator output or node voltage mould value); U is system control variable (node voltage mould value and angle); P is system disturbance variable (load condition);
(6) start unit, node voltage and circuit transmission constraint
The constraint condition of the meritorious output of genset and idle output, node voltage and circuit transmission limit is
P
Gimin≤P
Gi≤P
Gimax
Q
Gimin≤Q
Gi≤Q
Gimax
U
imin≤U
i≤U
imax
P
i≤P
imax
In formula, P
giexert oneself for genset is meritorious; Q
giexert oneself for genset is idle; U
ifor node voltage; P
ifor the active power flowing through on branch road i;
Step 2-2: utilize entropy power fuzzy overall evaluation algorithm to evaluate the tentative programme of each recovery subsystem, the optimum expansion black-start scheme that the scheme of selecting comprehensive evaluation value maximum is each recovery subsystem;
The present embodiment is selected voltage transitions number of times, path, start-up time, is activated unit capacity, the good and bad degree of technology verification and be activated these 6 evaluation indexes of power supply priority level, adopt the method for entropy power fuzzy overall evaluation to evaluating by the black-start scheme of constraint condition verification, calculate the comprehensive evaluation value of each scheme, determine optimum expansion black-start scheme; Below the concrete computation process of entropy power fuzzy overall evaluation:
The evaluation indice that makes i scheme is U
i={ u
i1, u
i2, u
i3, u
i4, u
i5, u
i6, wherein u
ij(j=1,2,3,4,5,6) represent j evaluation index value of i scheme, and the evaluation matrix of m alternatives is C'=[ui
j]
m × 6, i=1,2 ..., m.C' is carried out to standardization, obtain standardization and evaluate Matrix C=[ci
j]
m × 6;
According to the definition of entropy and entropy power, the entropy power of j index is
In formula, H
jbe the entropy of j index:
Wherein,
The present embodiment is composed power reasonable combination by entropy power with expert in black-start scheme evaluation, supposes that the subjective weight vectors of expert of 6 evaluation indexes selecting is λ=[λ
1, λ
2, λ
3, λ
4, λ
5, λ
6], the comprehensive weight of j evaluation index is
In formula: μ is the relative efficiency property coefficient of subjective weight for objective entropy power, 0.3< μ <3;
Thus, can obtain comprehensive weight vector for A=[a
1, a
2..., a
6];
Fuzzy synthetic appraisement method is by the evaluation object U that comprises evaluation index, be mapped on comment collection V by FUZZY MAPPING relation (certain subordinate function), form fuzzy evaluation matrix R, again comprehensive weight vector sum fuzzy matrix is applied to fuzzy operation, obtain reflecting the fuzzy subset B on the V of the subjection degree of this evaluation object to each comment, finally just can determine optimum black-start scheme according to comprehensive evaluation objective function; If comment collection V={v
1, v
2, v
3, v
4, v
5}={ is outstanding, good, medium, qualified, poor }, the degree of membership of the concentrated a certain black-start scheme of value representation of comment to this comment, selects isosceles triangle subordinate function to be
In formula: r
ij(v
k) be that j index of i scheme is with respect to comment v
kdegree of membership; K=1,2 ..., 5; p
k, q
k, s
kfor with respect to comment v
kconstant, get q
1=0, q
2=0.25, q
3=0.5, q
4=0.75, q
5=1; Isosceles triangle base is 1.6;
Can obtain the fuzzy evaluation matrix R of i scheme according to above isosceles triangle subordinate function
i=[r
ij(v
k)]
6 × 5, to matrix A and R
iapply fuzzy operation, and be normalized, establish b
ikbe the degree of membership of i scheme with respect to comment k,
Thus, the fuzzy overall evaluation result of i scheme is B=[b
i1, b
i2, b
i3, b
i4, b
i5].For asking for the integrate score of each expansion black-start scheme, existing each comment to comment collection is composed a score value, and collection V'={v' can mark
1, v'
2, v'
3, v'
4, v'
5, the evaluation objective function of m alternatives is
The present invention combines average optimal allocation algorithm and Dijkstra algorithm and entropy power fuzzy synthetic appraisement method, realizes solving and optimizing of the Power System Expansion black-start scheme that contains microgrid, and specific algorithm performing step is as follows:
(1) priority level that is first activated unit according to each sorts to these units, and by equal priority, other is activated unit and is integrated in same class;
(2) travel through every power supply unit in the set of black startup power supply, allow each black startup power supply respectively by grade priority principle (preferentially find grade high be activated the unit in unit set), from the unit of six ranks, find a unit that is activated that meets constraint condition; If have, will be activated unit and remove from be activated unit set; If nothing, illustrates that this power supply is not suitable for doing black startup power supply, removes it from power supply set;
(3) each black startup power supply has one to be activated unit, and at this moment each black startup power supply has black-start scheme separately; The scheme substitution objective function of each power supply is calculated, obtain the evaluation of estimate of these schemes, then the scheme of each power supply and evaluation of estimate corresponding to scheme are put into stack separately;
(4) check that whether the generating capacity of each black startup power supply enough starts the unit that is activated of many.If enough, this power supply repeat second and third, four steps, find suitable being activated unit and adding its scheme, be activated unit until all and be assigned with complete or each black startup power distribution to 20 and be activated unit; If not enough, the search of this power supply stops;
(5) ask for the maximum evaluation of estimate of the stack of each black startup power supply, scheme corresponding to this evaluation of estimate is the optimum black-start scheme of this power supply unit;
Find in the suitable process that is activated unit at each black startup power supply, black startup power supply first screens from high-grade unit classification, being activated in unit of this rank, utilize Dijkstra algorithm to calculate these and be activated the bee-line of unit from this black startup power supply, then determine the suitable unit that is activated according to constraint conditions such as load, paths; If cannot choose the unit that is activated that meets constraint condition in this rank, this black startup power supply is found the suitable unit that is activated by said process in the unit classification of next stage, and circulation is always gone down until find; If finally cannot search out the unit that meets constraint condition in being activated unit all, illustrate that this unit is not suitable for doing black startup power supply, it is removed from the set of black startup power supply unit; In the time that all black startup power supplys all have optimum black-start scheme separately, the first start-up course of black startup can be carried out, enter step 3, and those are started and are successfully activated unit and are selected in the set of black startup power supply unit, re-execute average optimal allocation algorithm until all units that is activated are all activated complete, at this moment algorithm is finished, and black start-up course is corresponding end also;
Step 3: according to determined optimal case, the microgrid in each recovery subsystem charges to the restoration path of this recovery subsystem, progressively expands recovery scope and realizes each recovery subsystem bulk supply, as shown in Figure 3, specifically comprises the following steps:
Step 3-1: the black startup power supply using microgrid as each recovery subsystem, microgrid is converted to system by the islet operation state in system failure stage and recovers the state that is incorporated into the power networks in stage;
Step 3-2: expand black startup restoration path according to optimum, each black startup power supply is activated unit to many in same recovery subsystem simultaneously starting power is provided, and starts many fast simultaneously and is activated unit;
Step 3-3: adopt black startup power supply be activated unit arranged side by side or many be activated unit mode arranged side by side and form the black startup power supply that capacity is larger, make the black startup of next round can start the units that are activated more simultaneously, loop until realize the bulk supply of each recovery subsystem;
Step 3-4: according to the virtual condition of each recovery subsystem and the operation control requirement of microgrid that recover after bulk supply, determine that microgrid keeps the state that is incorporated into the power networks or is switched to islet operation state;
Step 4: divide precedence according to recovery subsystem and determine precedence arranged side by side, each recovery subsystem is undertaken side by side by corresponding order after starting successfully black, realizes whole power system recovery and powers; After each recovery subsystem successfully carries out side by side, the main grid structure of entirety electric system is restored, further recover on this basis in electric system still unrecovered load, thereby recover the normal power supply of whole electric system, the Power System Expansion black-start scheme that contains microgrid is able to successful implementation.
As seen from the above embodiment, a kind of Power System Expansion black-start scheme that contains microgrid takes full advantage of the high efficiency of microgrid as potential and the expanding policy of black startup power supply, improve to a great extent the security and stability of electric system, accelerate the black startup recovering process of electric system, reduce the economic loss that has a power failure and bring, realized good black startup effect of optimization.
Above-described embodiment is preferably embodiment of the present invention; but embodiments of the present invention are not restricted to the described embodiments; other any do not deviate from change, the modification done under Spirit Essence of the present invention and principle, substitutes, combination, simplify; all should be equivalent substitute mode, within being included in protection scope of the present invention.