CN113141023A - Photovoltaic island power supply range optimization method based on series synchronous machine form grid connection - Google Patents
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Abstract
The invention provides a photovoltaic island power supply range optimization method based on series synchronous machine form grid connection, which relates to the technical field of power system analysis and comprises the following steps: acquiring active power requirements and reactive power requirements of all nodes of an electric power system, and establishing an electric power system network model containing a series synchronous machine grid-connected photovoltaic; constructing a photovoltaic island range matrix based on the power system network model; and constructing a photovoltaic island range matrix optimization model based on the photovoltaic island range matrix and solving the model. The method can maximize the load recovery range, realize the rapid generation of the island range under the power system fault, consider the load importance degree, avoid the power failure of important loads and obviously improve the power supply reliability of the power system.
Description
Technical Field
The invention relates to the technical field of power system analysis, in particular to a photovoltaic island power supply range optimization method based on series synchronous machine form grid connection.
Background
In order to solve the serious challenges brought to human society by the gradual depletion of fossil energy and the continuous aggravation of environmental pollution, a high-proportion new energy power generation rate must be developed for a future energy system, and the high-permeability access of new energy is also the development trend of a future power system. The photovoltaic is one of main new energy power generation forms, with continuous emergence of photovoltaic manufacturing and grid-connected power generation technical innovation, the cost of photovoltaic products is continuously reduced, the grid-connected proportion of photovoltaic power generation is continuously improved in the future, and the influence effect of the grid-connected photovoltaic on an electric power system is gradually shown.
The photovoltaic power generation system can realize reasonable access and efficient operation of photovoltaic power by means of advanced information and control technology, and brings benefits to the power system, wherein one of the benefits is that the power supply reliability of the power system is obviously improved. When a power supply in the power system breaks down and quits operation or a pivot line breaks down and is disconnected, the load has large-area power failure, and the load can restore power supply only after the fault is repaired or the power supply is put into operation again, so that the power supply reliability of the system is greatly influenced. If the fault occurs, the advantages of photovoltaic power generation are fully excavated, a system island with photovoltaic as a power supply point is formed, the load before fault repair is not cut off, and the power supply reliability of the system is greatly improved.
However, the current stable operation of the island with photovoltaic power generation as a core still has certain difficulties, and firstly, the random fluctuation and the intermittence of the photovoltaic active power output cannot meet the frequency stability requirement in the island. If in island operation period, the sudden change appears in the illumination condition, and photovoltaic active power is exerted oneself and is fallen rapidly, and the shortage of active power in the island will lead to system frequency to descend in the island, can't satisfy the load demand and cause the island collapse. In addition to the active frequency problem, the reactive voltage problem also restricts the stable operation of the photovoltaic island. The maximum power control mode of the photovoltaic self can not provide stable reactive voltage support for the island, and under the disturbance of external faults of the power system, a balance adjusting point similar to a synchronous machine of the power system can not be found in the photovoltaic island, so that the photovoltaic self can not keep stable operation. The series synchronous machine grid connection is a new energy novel grid connection mode, under the photovoltaic grid connection mode, a group of motor pairs consisting of synchronous motors and synchronous generators are added between a photovoltaic system and an electric power system, stable inertia and reactive power support can be provided for the electric power system, effective solutions are provided for solving the frequency and voltage stability of photovoltaic island grid connection, however, how to fully excavate the potential of photovoltaic active power and photovoltaic reactive power is achieved, under the fault of the electric power system, the island range is maximized, the island range is optimized, the fault influence load is recovered as much as possible, and certain challenges are still provided in the aspects of optimizing models and algorithm solving.
Disclosure of Invention
In view of the above, the present invention aims to provide a photovoltaic island power supply range optimization method based on a series synchronous machine grid connection mode, so as to realize rapid generation of an island range under a power system fault, consider load importance degree, avoid power failure of important loads, and significantly improve power supply reliability of the power system.
The invention provides a photovoltaic island power supply range optimization method based on a series synchronous machine form grid connection, which comprises the following steps:
acquiring active power requirements and reactive power requirements of all nodes of an electric power system, and establishing an electric power system network model containing a series synchronous machine grid-connected photovoltaic;
constructing a photovoltaic island range matrix based on the power system network model;
and constructing a photovoltaic island range matrix optimization model based on the photovoltaic island range matrix and solving the model.
Preferably, a grid-connected photovoltaic power system network node-branch incidence matrix E is constructed, and an active demand vector P and a reactive demand vector Q of a load node are constructed.
Preferably, the step of constructing a photovoltaic island range matrix based on the power system network model includes:
constructing a power supply path matrix A of a power source node in the power system and a power supply path matrix S of a photovoltaic node in the power system;
and constructing a photovoltaic island range matrix based on a power supply path matrix A of a power source node in the power system and a power supply path matrix S of a photovoltaic node in the power system.
Preferably, the photovoltaic island range matrix optimization model is as follows:
in the formula, rf,kRepresenting the elements of the f row and the k column in the photovoltaic island range matrix R without considering active frequency and reactive voltage constraints;
ωkrepresenting a load importance weight value of a kth load node;
Pkand QkRespectively representing the active and reactive demands of a load k;
PPVand QPVRespectively representing rated active power and reactive power of series synchronous machine type grid-connected photovoltaic
αPAnd alphaQRespectively representing the maximum active and reactive power output coefficients of the grid-connected photovoltaic in the form of a series synchronous machine;
MPVrepresenting the installed photovoltaic capacity; branchijRepresenting a branch with i as a starting point and j as an end point;
Lkthe vector of the power supply path of the load k is shown, and the elements in the vector are all branches passed by the load k to the photovoltaic node.
The embodiment of the invention has the following beneficial effects: the invention provides a photovoltaic island power supply range optimization method based on a series synchronous machine form grid connection, which comprises the following steps: acquiring active power requirements and reactive power requirements of all nodes of an electric power system, and establishing an electric power system network model containing a series synchronous machine grid-connected photovoltaic; constructing a photovoltaic island range matrix based on the power system network model; and constructing a photovoltaic island range matrix optimization model based on the photovoltaic island range matrix and solving the model. The method can maximize the load recovery range, realize the rapid generation of the island range under the power system fault, consider the load importance degree, avoid the power failure of important loads and obviously improve the power supply reliability of the power system.
Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.
In order to make the aforementioned and other objects, features and advantages of the present invention comprehensible, preferred embodiments accompanied with figures are described in detail below.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts.
Fig. 1 is a flowchart of a photovoltaic island power supply range optimization method based on a series synchronous machine form grid connection provided by an embodiment of the present invention;
fig. 2 is a schematic diagram of a power supply range optimization method for a photovoltaic island based on grid connection of a series synchronous machine according to an embodiment of the present invention, where the power supply range optimization method includes grid connection of a series synchronous machine to a photovoltaic power system;
fig. 3 is a power supply range optimization method for a photovoltaic island based on a series synchronous machine form grid connection according to an embodiment of the present invention, which includes a grid-connected photovoltaic power system network node-branch incidence matrix E;
fig. 4 is a power supply path matrix a of a power supply node in an electric power system of a photovoltaic island power supply range optimization method based on grid connection in a series synchronous machine form according to an embodiment of the present invention;
fig. 5 is a power supply path matrix S of a photovoltaic node in an electric power system of a photovoltaic island power supply range optimization method based on grid connection in the form of a series synchronous machine according to an embodiment of the present invention;
fig. 6 is a photovoltaic island range matrix R without consideration of active and reactive constraints in the photovoltaic island power supply range optimization method based on the series synchronous machine form grid connection provided by the embodiment of the present invention;
fig. 7 is a photovoltaic island range matrix R with consideration of active frequency and reactive voltage constraints, which is provided by an embodiment of the invention, in a photovoltaic island power supply range optimization method based on series synchronous machine grid connectionmodAnd a fault recovery range diagram.
Detailed Description
To make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is apparent that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
At present, the stable operation of an island taking photovoltaic power generation as a core still has certain difficulty, and firstly, the random fluctuation and the intermittence of photovoltaic active power output cannot meet the frequency stability requirement in the island. If in island operation period, the sudden change appears in the illumination condition, and photovoltaic active power is exerted oneself and is fallen rapidly, and the shortage of active power in the island will lead to system frequency to descend in the island, can't satisfy the load demand and cause the island collapse. In addition to the active frequency problem, the reactive voltage problem also restricts the stable operation of the photovoltaic island. The photovoltaic island power supply range optimization method based on the series synchronous machine form grid connection can maximize the load recovery range, realize the rapid generation of the island range under the power system fault, consider the load importance degree, avoid the power failure of important loads and remarkably improve the power supply reliability of the power system.
In order to facilitate understanding of the embodiment, a method for optimizing a power supply range of a photovoltaic island based on grid connection in a series synchronous machine form, disclosed by the embodiment of the invention, is described in detail first.
The first embodiment is as follows:
the invention provides a photovoltaic island power supply range optimization method based on series synchronous machine form grid connection, which comprises the following steps:
acquiring active power requirements and reactive power requirements of all nodes of an electric power system, and establishing an electric power system network model containing a series synchronous machine grid-connected photovoltaic;
constructing a photovoltaic island range matrix based on the power system network model;
and constructing a photovoltaic island range matrix optimization model based on the photovoltaic island range matrix and solving the model.
Preferably, a grid-connected photovoltaic power system network node-branch incidence matrix E is constructed, and an active demand vector P and a reactive demand vector Q of a load node are constructed.
Further E contains only three elements, E being when node i is not connected to branch jijWhen node i is the starting point of branch j, e is 0ijWhen node i is the end point of branch j, e ═ 1ijIs-1. If the network has N in commonbStrip branch, 1 power supply node and NbA load node, the matrix E is (N)b+1)×NbA dimension matrix.
Preferably, the step of constructing a photovoltaic island range matrix based on the power system network model includes:
constructing a power supply path matrix A of a power source node in the power system and a power supply path matrix S of a photovoltaic node in the power system;
further, a power supply path matrix A of the power supply nodes is constructed in the following way: removing power in node-branch incidence matrix EAnd corresponding rows to the source nodes, performing matrix inversion operation, taking absolute values of all elements in the obtained inverse matrix, and deleting the rows corresponding to the photovoltaic nodes and the rows corresponding to the photovoltaic access branches from the inverse matrix, thereby obtaining a power supply path matrix A of the power source nodes in the power system. Element a in the supply path matrix A of the power supply nodeijA value of 1 or 0, aij1 indicates that the branch i in the system is a power supply path from the load node j to the power supply node, the load node needs to be connected with the power supply node through the branch i, and once the branch i fails, the power supply path between the load node j and the power supply node is cut off. a isij0 denotes that branch i in the system is not a power supply path of load node j;
a power supply path matrix S of a photovoltaic node in the power system is constructed in the following way: and deleting rows corresponding to the photovoltaic nodes in the node-branch incidence matrix E, carrying out matrix inversion operation, taking absolute values of all elements in the inverse matrix, and further deleting the rows corresponding to the power supply points and the rows corresponding to the photovoltaic access branches from the inverse matrix, thereby obtaining a power supply path matrix S of the photovoltaic nodes in the power system. Element S in the supply path matrix S of a photovoltaic nodeijValues of 1 or 0, s ij1 indicates that the branch i in the system is a power supply path from the load node j to the photovoltaic node, the load node needs to be connected with the photovoltaic node through the branch i, and once the branch i fails, the power supply path between the load node j and the photovoltaic node is cut off. sij-0 indicates that branch i in the system is not the supply path from load node j to photovoltaic node.
And constructing a photovoltaic island range matrix based on a power supply path matrix A of a power source node in the power system and a power supply path matrix S of a photovoltaic node in the power system.
Specifically, a photovoltaic island range matrix R is constructed by adopting the following formula:
R＝A-A∩S
the operator "#" in the formula represents the bitwise and operation of the matrix elements, namely the element values at the same positions of the two matrixes are simultaneously 1, the element value at the corresponding position of the new matrix is 1, otherwise, the element value is 0;
preferably, the photovoltaic island range matrix optimization model is as follows:
in the formula, rf,kRepresenting the elements of the f row and the k column in the photovoltaic island range matrix R without considering active frequency and reactive voltage constraints;
ωkrepresenting a load importance weight value of a kth load node;
Pkand QkRespectively representing the active and reactive demands of a load k;
PPVand QPVRespectively representing rated active power and reactive power of series synchronous machine type grid-connected photovoltaic
αPAnd alphaQRespectively representing the maximum active and reactive power output coefficients of the grid-connected photovoltaic in the form of a series synchronous machine;
MPVrepresenting the installed photovoltaic capacity; branchijRepresenting a branch with i as a starting point and j as an end point;
Lkthe vector of the power supply path of the load k is shown, and the elements in the vector are all branches passed by the load k to the photovoltaic node.
Solving an island range matrix optimization model by further adopting the following method: obtaining a photovoltaic island range matrix R in a grid-connected form of a series synchronous machinemod，RmodElement (1) of
Is 1 or 0, element
And 1 represents the fault of the f-th numbered branch in the system, and the corresponding load node k is in the island range and cannot be affected by the fault branch to stop power supply. Element(s)
And a value of 0 indicates the fault of the branch with the f-th number in the system, and the corresponding load node k is not in the range of the island and is influenced by the fault branch to cause power failure. According to RmodThe element value in the method can guide the island range formed by the photovoltaic with different branch faults in the operation process of the power system, so that the power failure of important loads in the island is avoided, and the reliability of the system is improved. Photovoltaic active and reactive power output coefficient alpha obtained by optimization model and based on series synchronous machine grid connectionPAnd alphaQThe photovoltaic active and reactive output values can be guided during the fault period of the system, and the stable operation of the island system is realized.
Example two:
the second embodiment of the invention provides a calculation example for explaining the island range optimization process of the series synchronous machine type grid-connected photovoltaic method;
step 1: and establishing a power system network model containing a series synchronous machine grid-connected photovoltaic.
Further, a grid node-branch incidence matrix E of the power system including the photovoltaic grid connection shown in fig. 2 is constructed, and an active demand vector P and a reactive demand vector Q of all load nodes in the power system are formed. P ═ P1,P2,…,PNb]，Q＝[Q1,Q2,…,QNb]. The active and reactive requirements of the load nodes 1-7 are respectively P ═ 1.2MW,6.5MW,9.4MW,5.2MW,1.8MW,3.8MW,2.1MW]，Q＝[0.1Mvar,1.4Mvar,1.8Mvar,1.6Mvar,0.1Mvar,1.2Mvar,0.6Mvar]；
Step 2: establishing a photovoltaic island range matrix without considering active frequency and reactive voltage constraints;
further, a power supply path matrix A of power supply nodes in the power system is constructed, corresponding rows of the power supply nodes in the node-branch incidence matrix E are deleted, and an inverse matrix is obtained. Taking absolute values of all elements in the inverse matrix, and deleting the 8 th column corresponding to the photovoltaic node and the ((8) th row corresponding to the photovoltaic access branch as shown in FIG. 4);
further, a power supply path matrix S of the photovoltaic nodes in the power system is constructed. And deleting the corresponding row of the photovoltaic node in the node-branch incidence matrix E, and solving the inverse matrix. Taking absolute values of all elements in the inverse matrix, and deleting the 8 th column corresponding to the photovoltaic node and the thirtieth row corresponding to the photovoltaic access branch, as shown in fig. 5;
forming a photovoltaic island range matrix R without considering active and reactive constraints, and calculating to obtain a photovoltaic island range matrix R without considering active and reactive constraints, as shown in FIG. 6;
and step 3: building a photovoltaic island range matrix optimization model, solving, and obtaining R by solvingmodAs shown in fig. 7. Taking the branch circuit (c) as an example, because the photovoltaic capacity is limited, the island only contains load nodes 3, 4 and 5 (1 element in the solid-line frame in fig. 6), the load nodes 3, 4 and 5 realize that the branch circuit (c) is in failure without power failure, and the load nodes 6 and 7 cannot enter the island (0 element in the dotted-line frame in fig. 6) due to violating the photovoltaic active frequency and reactive voltage constraints.
It is clear to those skilled in the art that, for convenience and brevity of description, the specific working processes of the system and the apparatus described above may refer to the corresponding processes in the foregoing method embodiments, and are not described herein again.
The flowchart and block diagrams in the figures illustrate the architecture, functionality, and operation of possible implementations of systems, methods and computer program products according to various embodiments of the present invention. In this regard, each block in the flowchart or block diagrams may represent a module, segment, or portion of code, which comprises one or more executable instructions for implementing the specified logical function(s). It should also be noted that, in some alternative implementations, the functions noted in the block may occur out of the order noted in the figures. For example, two blocks shown in succession may, in fact, be executed substantially concurrently, or the blocks may sometimes be executed in the reverse order, depending upon the functionality involved. It will also be noted that each block of the block diagrams and/or flowchart illustration, and combinations of blocks in the block diagrams and/or flowchart illustration, can be implemented by special purpose hardware-based systems which perform the specified functions or acts, or combinations of special purpose hardware and computer instructions.
It is clear to those skilled in the art that, for convenience and brevity of description, the specific working processes of the system and the apparatus described above may refer to the corresponding processes in the foregoing method embodiments, and are not described herein again.
In addition, in the description of the embodiments of the present invention, unless otherwise explicitly specified or limited, the terms "mounted," "connected," and "connected" are to be construed broadly, e.g., as meaning either a fixed connection, a removable connection, or an integral connection; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
In the description of the present invention, it should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, and are only for convenience of description and simplicity of description, but do not indicate or imply that the device or element being referred to must have a particular orientation, be constructed and operated in a particular orientation, and thus, should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
Finally, it should be noted that: the above-mentioned embodiments are only specific embodiments of the present invention, which are used for illustrating the technical solutions of the present invention and not for limiting the same, and the protection scope of the present invention is not limited thereto, although the present invention is described in detail with reference to the foregoing embodiments, those skilled in the art should understand that: any person skilled in the art can modify or easily conceive the technical solutions described in the foregoing embodiments or equivalent substitutes for some technical features within the technical scope of the present disclosure; such modifications, changes or substitutions do not depart from the spirit and scope of the embodiments of the present invention, and they should be construed as being included therein. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
Claims (4)
1. A photovoltaic island power supply range optimization method based on a series synchronous machine form grid connection is characterized by comprising the following steps:
acquiring active power requirements and reactive power requirements of all nodes of an electric power system, and establishing an electric power system network model containing a series synchronous machine grid-connected photovoltaic;
constructing a photovoltaic island range matrix based on the power system network model;
and constructing a photovoltaic island range matrix optimization model based on the photovoltaic island range matrix and solving the model.
2. The method according to claim 1, characterized by constructing a grid-connected photovoltaic-containing power system network node-branch incidence matrix E, and constructing an active demand vector P and a reactive demand vector Q of a load node.
3. The method of claim 1, wherein the step of constructing a photovoltaic island range matrix based on the power system network model comprises:
constructing a power supply path matrix A of a power source node in the power system and a power supply path matrix S of a photovoltaic node in the power system;
and constructing a photovoltaic island range matrix based on a power supply path matrix A of a power source node in the power system and a power supply path matrix S of a photovoltaic node in the power system.
4. The method according to claim 1, wherein the photovoltaic island range matrix optimization model is as follows:
in the formula, rf,kRepresenting the elements of the f row and the k column in the photovoltaic island range matrix R without considering active frequency and reactive voltage constraints;
ωkrepresenting a load importance weight value of a kth load node;
Pkand QkRespectively representing the active and reactive demands of a load k;
PPVand QPVRespectively representing rated active power and reactive power of series synchronous machine type grid-connected photovoltaic
αPAnd alphaQRespectively representing the maximum active and reactive power output coefficients of the grid-connected photovoltaic in the form of a series synchronous machine;
MPVrepresenting the installed photovoltaic capacity; branchijRepresenting a branch with i as a starting point and j as an end point;
Lkthe vector of the power supply path of the load k is shown, and the elements in the vector are all branches passed by the load k to the photovoltaic node.
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