CN103383706A - Construction method of heating ventilation air conditioning hot and cold water pipe network space topological structure - Google Patents

Abstract

The invention discloses a construction method of a heating ventilation air conditioning hot and cold water pipe network space topological structure, which comprises the following steps: 1) recording pipe section information of a water supplying pipe network and a water return pipe network and cold and heat source and user's information respectively; 2) building incidence matrix and elementary circuit matrix of the water supplying pipe network and the water return pipe network respectively; 3) building incidence matrix and elementary circuit matrix of the cold and heat source and the user respectively; 4) combining the incidence matrix of the water supplying pipe network and the water return pipe network and the incidence matrix of the cold and heat source and the user into a space pipe network incidence matrix; combining the elementary circuit matrix of the water supplying pipe network and the water return pipe network the elementary circuit matrix the cold and heat source and the user into a space pipe network elementary circuit matrix. Through the building of the heating ventilation air conditioning hot and cold water pipe network space topological structure, the topological structure of pipe network with arbitrary shape is built, and a traditional plane pipe network method is broken through, so as to realize hydraulic working condition simulation and analysis of multiple source multiple loop pipe network, asymmetrical pipe network and the like.

Description

A kind of construction method of Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network space topological structure

Technical field

The invention belongs to Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network field, particularly a kind of construction method of Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network space topological structure.

Background technology

Prior art is when carrying out the hydraulic regime analysis to Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network, adopt the method for plane pipe network, think that confession, return pipe net are symmetrical, then Cooling and Heat Source and user's flow carries out waterpower calculating to water supply network or the return pipe net that belongs to planar network all by limited flow rate.

The foundation of original method topological structure only limits to the plane pipe network, and when pipe network was complicated, such as looping network, multi-source pipe network, the asymmetric situation of confession return pipe net structure, original method can not realize the flow simulation of the whole network.

Summary of the invention

In order to overcome the deficiencies in the prior art, the present invention is by the structure of Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network space topological structure, set up the topological structure of arbitrary shape pipe network, be incidence matrix and fundamental circuit matrix, break through flat tube network method in the past, thereby realized the hydraulic regime Simulation and analysis of many endless tubes of multi-source net, asymmetric pipe network etc.According to water supply network, return pipe net, Cooling and Heat Source and user's information, build the space topological structure of the whole network, and incidence matrix and the fundamental circuit matrix of whole space pipe network.

Technical scheme of the present invention is:

A kind of construction method of Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network space topological structure comprises the following steps:

1) pipeline section information and Cooling and Heat Source and the user profile of difference typing water supply network, return pipe net;

2) build respectively incidence matrix, the fundamental circuit matrix of water supply network or return pipe net;

3) build respectively Cooling and Heat Source and user's incidence matrix and fundamental circuit matrix;

4) incidence matrix with the incidence matrix of water supply network, return pipe net and Cooling and Heat Source, user is combined as space pipe network incidence matrix; The fundamental circuit matrix of water supply network, return pipe net and Cooling and Heat Source, user's fundamental circuit matrix is combined as space pipe network fundamental circuit matrix.

In step 1), typing pipeline section information is the coded message of typing beginning node and end-node, typing Cooling and Heat Source and user profile; Be the coding of typing place node.

Described step 2) incidence matrix and the fundamental circuit matrix of structure water supply network or return pipe net comprise following two kinds of situations:

21) build the incidence matrix of water supply network or return pipe net; The row of incidence matrix is the node of water supply network or return pipe net, and row are pipeline sections of water supply network or return pipe net, and incidence matrix props up the incidence matrix piecemeal with a tree incidence matrix and chain and expresses;

22) build the fundamental circuit matrix of water supply network or return pipe net; By the method for spanning tree, the row of fundamental circuit matrix is the fundamental circuit number of water supply network or return pipe net, and row are pipeline sections of water supply network or return pipe net.

Described step 3) Cooling and Heat Source comprises level pressure Cooling and Heat Source, non-constant pressure Cooling and Heat Source.

Incidence matrix and fundamental circuit matrix that described step 3) builds Cooling and Heat Source and user comprise following two kinds of situations:

31) build Cooling and Heat Source and user's incidence matrix; The row of the incidence matrix that Cooling and Heat Source and user place pipeline section are corresponding is total nodes of water supply network and return pipe net, classifies the pipeline section at Cooling and Heat Source and user place as;

The incidence matrix that level pressure Cooling and Heat Source place pipeline section is corresponding is a tree incidence matrix, and non-constant pressure Cooling and Heat Source and incidence matrix corresponding to all user's place pipeline sections are that chain props up incidence matrix;

32) build Cooling and Heat Source and user's fundamental circuit matrix; Non-constant pressure Cooling and Heat Source and fundamental circuit matrix corresponding to all user's place pipeline sections.

Described step 4) comprises following three kinds of situations:

41) tree with water supply network, return pipe net props up incidence matrix, and tree corresponding to level pressure Cooling and Heat Source place pipeline section props up the tree that incidence matrix is combined as the space pipe network and prop up incidence matrix;

42) chain with water supply network, return pipe net props up incidence matrix, and non-constant pressure Cooling and Heat Source and chain corresponding to all user's place pipeline sections prop up the chain that incidence matrix is combined as the space pipe network and prop up incidence matrix;

43) with the fundamental circuit matrix of water supply network, return pipe net, and non-constant pressure Cooling and Heat Source and fundamental circuit matrix corresponding to all user's place pipeline sections are combined as the fundamental circuit matrix of space pipe network.

The present invention sets up the space network topology that comprises water supply network, return pipe net, Cooling and Heat Source and user, for the hydraulic regime Simulation and analysis of Heating,Ventilating and Air Conditioning (HVAC) complex grid provides the means of realization, break through the restriction of original flat tube network method, can study from system level the hydraulic regime of pipe network.Can set up the hydraulic regime mathematical model of the whole network on basis of the present invention, can realize the simulation of various shape pipe networks, comprise ring-type, branched network, single source, multi-source pipe network, symmetrical, asymmetric pipe network, the numerical simulation of nominal situation, fault condition pipe network.For research Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network hydraulic regime provides tool.

Description of drawings

Fig. 1 is water supply network and the digraph thereof in the embodiment of the present invention;

Fig. 2 is the search procedure of the depth-first search BFS in the embodiment of the present invention;

Fig. 3 is Dimensional Heat Supplying Network and the search tree thereof in the embodiment of the present invention.

Embodiment

Set forth the specific embodiment of the present invention as an example of heating network example.

1) topological structure of confession, return pipe net

The space network topology is to set up on the basis of water supply network and return pipe net topological structure.Confession, return pipe net are planar network, and the construction method of topological relation is identical, and be existing take water supply network as example.As shown in Figure 1, being water supply network and digraph thereof, is that two thermals source are united to the heat network system water supply network schematic diagram of 7 hot user's heat supplies and the plane digraph that builds on this basis.Pipe network nodes n=9, pipeline section is counted b=10.n _iBe nodename, the numeral in bracket is node; b _iBe pipeline section title (being the title on limit in digraph), the numeral in bracket is the sequence number of pipeline section, and this sequence number is the consecutive number since 1, is produced by sorting by computer after input node and pipeline section title; r _iAnd u _iBe respectively thermal source and hot user's name; Pipeline section flows to and the direction of loop can arbitrary assumption.

Matrix is the powerful of research graph theory, in computing machine, schemes all to represent by means of matrix, and a lot of algorithms of figure are also realized by matrix operation.

1.1) the peak battle array

The easiest mode of expression figure is the peak battle array.Peak battle array C is the matrix (b represents the pipeline section number) of capable two row of b, limit of each line display wherein, the sequence number of the start node on first row element representation limit, the sequence number of the terminal node on secondary series element representation limit.Digraph shown in Figure 1 can be expressed as with the transposed matrix of peak battle array:

$C^T=\left[\begin{array}{cccccccccc}1& 2& 3& 9& 8& 8& 4& 1& 2& 8\\ 2& 3& 6& 6& 9& 7& 7& 4& 5& 5\end{array}\right]$

The peak battle array is come record diagram take the limit as unit, and in pipe network figure, the peak battle array can be easily be stored together the information of pipeline section information and figure, has reduced to greatest extent input quantity.Yet the peak battle array is not easy to realize specific algorithm in conjunction with Professional Model, utilizes in the present embodiment the peak battle array to generate incidence matrix and the fundamental circuit matrix of pipe network.

1.2) incidence matrix

Pipe network incidence matrix A _p'=(a _ij) _{N * b}, n is the pipe network nodes, b is pipe network pipeline section number; Wherein each element is determined by following regulation: related with node when pipeline section, and the flow direction is left node, a _ij Be 1; Related with node when pipeline section, and flow to point to node, a _ijBe-1; When pipeline section not related with node, a _ijBe 0.

The incidence matrix of planar network shown in Figure 1 is

${A_p}^{\′}=\left[\begin{array}{cccccccccc}1& 0& 0& 0& 0& 0& 0& 1& 0& 0\\ -1& 1& 0& 0& 0& 0& 0& 0& 1& 0\\ 0& -1& 1& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 1& -1& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& -1& -1\\ 0& 0& -1& -1& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& -1& -1& 0& 0& 0\\ 0& 0& 0& 0& 1& 1& 0& 0& 0& 1\\ 0& 0& 0& 1& -1& 0& 0& 0& 0& 0\end{array}\right]$

1.3) fundamental circuit matrix

Fundamental circuit matrix is based on network tree and generates.In graph theory, tree refers to not comprise in connected graph the clique of any loop, namely connects all nodes and the figure of Cheng Huan not, and the limit that belongs to tree is called tree, and in tree, limit not to be covered is chain and props up.Two kinds of algorithms most in use of search tree are BFS (Breadth First Search) BFS(breadth-first search) and depth-first search DFS(depth-first search), the present embodiment adopts the BFS algorithm, and the basic thought of the method is that all consecutive point of the point of having searched for are searched for.To connected graph shown in Figure 1, search as shown in Fig. 2 a, at first determines to be adjacent to the set of all nodes of node 1 from the node 1, and this set is { 2,4}; Then determine to be adjacent to the new node set of 2,4}, as shown in Fig. 2 b, this set is { 3,5,7}; As shown in Fig. 2 c, be adjacent to that { node set of 3,5,7} is { 6,8}; Be adjacent to that { node set of 6,8} is { 9}.So far searched all nodes of this figure, search procedure as shown in Figure 2, the limit of search process has namely consisted of the one tree of connected graph, as shown in Fig. 2 d.

So-called fundamental circuit refers to prop up by the tree that a chain props up and a group unique the loop that consists of.F=b-n+1 is counted in fundamental circuit, pipe network fundamental circuit matrix B _p=(b _lj) _{F * b}, wherein each element is determined by following regulation: in fundamental circuit, and orientation is identical with it when pipeline section, b _lj Be 1; In fundamental circuit, and orientation in contrast, b when pipeline section _ljBe-1; When pipeline section not in fundamental circuit, b _ljBe 0.

The fundamental circuit matrix of planar network shown in Figure 1 is

$B_p=\left[\begin{array}{cccccccccc}1& 0& 0& 0& 0& 1& -1& -1& 1& -1\\ 0& 1& 1& -1& -1& 0& 0& 0& -1& 1\end{array}\right]$

2) topological structure of space pipe network

2.1) Data Enter

Dimensional Heat Supplying Network also comprises the information of thermal source and hot user place pipeline section except water supply network and return pipe net.Adopt the way of similar peak battle array, be m as the thermal source number, thermal source information matrix R is the matrix of capable two row of m, thermal source of each line display wherein, first row element representation thermal source place pipeline section connects the node ID of water supply network, the node ID of secondary series element representation thermal source place pipeline section connection return pipe net.Heat network system shown in Figure 1, as confession, return pipe net symmetry, its thermal source information matrix is as follows:

$R=\left[\begin{array}{cc}1& 1\\ 8& 8\end{array}\right]$

In like manner, hot user profile can represent with the transposed matrix of matrix U

$U^T=\left[\begin{array}{ccccccc}2& 3& 4& 5& 6& 7& 9\\ 2& 3& 4& 5& 6& 7& 9\end{array}\right]$

Applicable too for confession, the asymmetric situation the method for return pipe net.

Typing water supply network, return pipe net, thermal source and hot user's information can set up the topological structure of Dimensional Heat Supplying Network.Nodes as confession, return pipe net is respectively n ₁And n ₂, the nodes N=n of Dimensional Heat Supplying Network ₁+ n ₂Pipeline section number as confession, return pipe net is respectively b ₁And b ₂, to count sum be k for thermal source and hot user place pipeline section, the pipeline section of Dimensional Heat Supplying Network is counted B=b ₁+ b ₂+ k.

2.2) search tree

The topological structure of setting up Dimensional Heat Supplying Network at first will be to whole heat network system search tree, method is as follows: to water supply network and return pipe net difference search tree, then with a thermal source or a hot user place pipeline section, two trees are coupled together, might as well be with level pressure thermal source place pipeline section as tree, level pressure thermal source place pipeline section and the tree for the tree Zhi Zucheng of, return pipe net are the tree of space pipe network.The pipeline section that belongs to tree is called tree, and in tree, pipeline section not to be covered is chain and props up.

Heat supply network shown in Figure 1, as symmetrical for, return pipe net, the level pressure thermal source is r1, Dimensional Heat Supplying Network and search tree thereof as shown in Figure 3, wherein solid line is feed pipe, dotted line is return pipe, thick line represents is tree, what fine rule represented is that chain props up.

For arbitrary heat supply network, be respectively f as the fundamental circuit number of water supply network and return pipe net ₁And f ₂, F=f is counted in the fundamental circuit of whole heat supply network ₁+ f ₂+ k-1, the real space heat supply network still satisfies relational expression F=B-N+1.

2.3) incidence matrix

In looping network hydraulic regime model solution, usually incidence matrix need be write as the block form that a tree incidence matrix and chain prop up incidence matrix.For Dimensional Heat Supplying Network, the incidence matrix piecemeal is as follows:

A _k′=[A _kt′ A _kl′] （1）

A in formula _k' be the incidence matrix of Dimensional Heat Supplying Network, N * B rank; A _kt' for the tree of Dimensional Heat Supplying Network props up incidence matrix, N * (N-1) rank; A _kl' for the chain of Dimensional Heat Supplying Network props up incidence matrix, N * F rank.

The tree of Dimensional Heat Supplying Network props up incidence matrix and is comprised of following several parts:

A in formula _t1For the tree of water supply network props up incidence matrix, n ₁* (n ₁-1) rank; A _t2For the tree of return pipe net props up incidence matrix, n ₂* (n ₂-1) rank; A _t3Be incidence matrix corresponding to level pressure thermal source place pipeline section, N * 1 rank.A _kt', A _t1, A _t2, A _t3Be respectively:

$A_{\mathrm{<figure-callout\; id="1"\; label="t"\; filenames="HDA00001698960500011.png,HDA00001698960500013.png"\; state="\{\{state\}\}">t</figure-callout>}1}=\left[\begin{array}{cccccccc}1& 0& 0& 0& 0& 1& 0& 0\\ -1& 1& 0& 0& 0& 0& 1& 0\\ 0& -1& 1& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 1& -1& 0& 0\\ 0& 0& 0& 0& 0& 0& -1& -1\\ 0& 0& -1& -1& 0& 0& 0& 0\\ 0& 0& 0& 0& -1& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 1\\ 0& 0& 0& 1& 0& 0& 0& 0\end{array}\right],$ $A_{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HDA00001698960500011.png,HDA00001698960500013.png"\; state="\{\{state\}\}">t</figure-callout>}2}=\left[\begin{array}{cccccccc}-1& 0& 0& 0& 0& -1& 0& 0\\ 1& -1& 0& 0& 0& 0& -1& 0\\ 0& 1& -1& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& -1& 1& 0& 0\\ 0& 0& 0& 0& 0& 0& 1& 1\\ 0& 0& 1& 1& 0& 0& 0& 0\\ 0& 0& 0& 0& 1& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& -1\\ 0& 0& 0& -1& 0& 0& 0& 0\end{array}\right]$

A _t3=[-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0] ^T

${A_{\mathrm{kt}}}^{\&prime;}=\left[\begin{array}{ccccccccccccccccc}1& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1\\ -1& 1& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& -1& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& -1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& -1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& \text{0}& \text{-1}& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& -1& 0& 0& 1\\ 0& 0& 0& 0& 0& 0& 0& 0& 1& -1& 0& 0& 0& 0& -1& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& -1& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 1& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 1& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 1& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0\end{array}\right]$

Incidence matrix corresponding to thermal source and hot user place pipeline section is similar with the definition for, backwater pipeline section incidence matrix, the row of matrix is the node of space pipe network, row are thermal source and hot user place pipeline section, leave certain node when thermal source or hot user place pipeline section flow to, and corresponding element value is 1; Point to certain node when pipeline section flows to, corresponding element value is-1; Otherwise be 0.

The chain of Dimensional Heat Supplying Network props up incidence matrix and is comprised of following several parts:

A in formula _l1For the chain of water supply network props up incidence matrix, n ₁* f ₁Rank; A _l2For the chain of return pipe net props up incidence matrix, n ₂* f ₂Rank; A _l3Be non-constant pressure thermal source and incidence matrix corresponding to hot user place pipeline section, N * (k-1) rank.A _kl', A _l1, A _l2, A _l3Be respectively

$A_{11}=\left[\begin{array}{cc}0& 0\\ 0& 0\\ 0& 0\\ 0& 0\\ 0& 0\\ 0& 0\\ 0& -1\\ 1& 1\\ -1& 0\end{array}\right]$ $A_{12}=\left[\begin{array}{cc}0& 0\\ 0& 0\\ 0& 0\\ 0& 0\\ 0& 0\\ 0& 0\\ 0& 1\\ -1& -1\\ 1& 0\end{array}\right]$

$A_{13}=\left[\begin{array}{cccccccc}0& 0& 0& 0& 0& 0& 0& 0\\ 0& 1& 0& 0& 0& 0& 0& 0\\ 0& 0& 1& 0& 0& 0& 0& 0\\ 0& 0& 0& 1& 0& 0& 0& 0\\ 0& 0& 0& 0& 1& 0& 0& 0\\ 0& 0& 0& 0& 0& 1& 0& 0\\ 0& 0& 0& 0& 0& 0& 1& 0\\ -1& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 1\\ 0& 0& 0& 0& 0& 0& 0& 0\\ 0& -1& 0& 0& 0& 0& 0& 0\\ 0& 0& -1& 0& 0& 0& 0& 0\\ 0& 0& 0& -1& 0& 0& 0& 0\\ 0& 0& 0& 0& -1& 0& 0& 0\\ 0& 0& 0& 0& 0& -1& 0& 0\\ 0& 0& 0& 0& 0& 0& -1& 0\\ 1& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& -1\end{array}\right]$

${A_{\mathrm{<figure-callout\; id="1"\; label="k"\; filenames="HDA00001698960500011.png,HDA00001698960500013.png"\; state="\{\{state\}\}">k</figure-callout>}1}}^{\&prime;}=\left[\begin{array}{cccccccccccc}0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0\\ 0& -1& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0\\ 1& 1& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0\\ -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0\\ 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& -1& 0\\ 0& 0& -1& -1& 1& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& -1\end{array}\right]$

Can prove matrix A _k' order be N-1, remove wherein the delegation of corresponding reference mode (to heating system generally take pressurization point as reference mode), consist of a new matrix A _k, be the fundamental interconnection matrix of Dimensional Heat Supplying Network.

This routine reference mode is n1 ', removes corresponding row, A _kFor:

$A_k=\left[\begin{array}{ccccccccccccccccccccccccccccc}1& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ -1& 1& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0\\ 0& -1& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& -1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0\\ 0& 0& -1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0\\ 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0\\ 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 1& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1\\ 0& 0& 0& 0& 0& 0& 0& 0& 1& -1& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& -1& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& -1& -1& 1& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& -1\end{array}\right]$

The fundamental circuit matrix of Dimensional Heat Supplying Network can be write as following form:

B in formula _kBe the fundamental circuit matrix of space pipe network, F * B rank; B ₁Be the fundamental circuit matrix of water supply network, f ₁* b ₁Rank; B ₂Be the fundamental circuit matrix of return pipe net, f ₂* b ₂Rank; B ₃Be non-constant pressure thermal source and fundamental circuit matrix corresponding to hot user place pipeline section, (k-1) * B rank.B _k, B ₁, B ₂, B ₃Be respectively:

${\mathrm{<figure-callout\; id="1"\; label="B"\; filenames="HDA00001698960500011.png,HDA00001698960500013.png"\; state="\{\{state\}\}">B</figure-callout>}}_1=\left[\begin{array}{cccccccccc}1& 0& 0& 0& 0& 1& -1& -1& 1& -1\\ 0& 1& 1& -1& -1& 0& 0& 0& -1& 1\end{array}\right];$ ${\mathrm{<figure-callout\; id="2"\; label="B"\; filenames="HDA00001698960500011.png,HDA00001698960500013.png"\; state="\{\{state\}\}">B</figure-callout>}}_2=\left[\begin{array}{cccccccccc}-1& 0& 0& 0& 0& -1& 1& 1& -1& 1\\ 0& -1& -1& 1& 1& 0& 0& 0& 1& -1\end{array}\right]$

$B_3=\left[\begin{array}{ccccccccccccccccccccccccccccc}1& 0& 0& 0& 0& 0& 0& 0& 1& -1& -1& 0& 0& 0& 0& 0& 0& 0& -1& 1& 1& -1& 0& 0& 0& 0& 0& 0& 0\\ 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 1& 0& 0& 0& 0& 0& 0\\ 1& 1& 0& 0& 0& 0& 0& 0& 0& 0& -1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 1& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 1& 0& 0& 0& 1& 0& 0& 0& 0\\ 1& 0& 0& 0& 0& 0& 0& 0& 1& 0& -1& 0& 0& 0& 0& 0& 0& 0& -1& 0& 1& 0& 0& 0& 0& 1& 0& 0& 0\\ 1& 1& 1& 0& 0& 0& 0& 0& 0& 0& -1& -1& -1& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 1& 0& 0\\ 0& 0& 0& 0& 0& 0& 1& 1& 0& 0& 0& 0& 0& 0& 0& 0& -1& -1& 0& 0& 1& 0& 0& 0& 0& 0& 0& 1& 0\\ 1& 1& 1& -1& 0& 0& 0& 0& 0& 0& -1& -1& -1& 1& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 1\end{array}\right]$

$B_k=\left[\begin{array}{ccccccccccccccccccccccccccccc}1& 0& 0& 0& 0& 1& -1& -1& 1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 1& 1& -1& -1& 0& 0& 0& -1& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& -1& 1& 1& -1& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& -1& 1& 1& 0& 0& 0& 1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0\\ 1& 0& 0& 0& 0& 0& 0& 0& 1& -1& -1& 0& 0& 0& 0& 0& 0& 0& -1& 1& 1& -1& 0& 0& 0& 0& 0& 0& 0\\ 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 1& 0& 0& 0& 0& 0& 0\\ 1& 1& 0& 0& 0& 0& 0& 0& 0& 0& -1& -1& 0& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 1& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 0& 0& -1& 0& 0& 1& 0& 0& 0& 1& 0& 0& 0& 0\\ 1& 0& 0& 0& 0& 0& 0& 0& 1& 0& -1& 0& 0& 0& 0& 0& 0& 0& -1& 0& 1& 0& 0& 0& 0& 1& 0& 0& 0\\ 1& 1& 1& 0& 0& 0& 0& 0& 0& 0& -1& -1& -1& 0& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 1& 0& 0\\ 0& 0& 0& 0& 0& 0& 1& 1& 0& 0& 0& 0& 0& 0& 0& 0& -1& -1& 0& 0& 1& 0& 0& 0& 0& 0& 0& 1& 0\\ 1& 1& 1& -1& 0& 0& 0& 0& 0& 0& -1& -1& -1& 1& 0& 0& 0& 0& 0& 0& 1& 0& 0& 0& 0& 0& 0& 0& 1\end{array}\right]$

As Dimensional Heat Supplying Network fundamental interconnection matrix and fundamental circuit matrix by identical limit order (because the row of fundamental interconnection matrix and fundamental circuit matrix are all the pipe segment numbers, it is identical that identical limit order refers to the pipeline section sequence of two rectangular arrays, namely the pipe segment number of row correspondence is identical) arrangement, A _kAnd B _kBetween satisfy following formula:

A _kB _k ^T＝0（5）

Matrix A _kAnd B _kAll topological relations of space pipe network have been explained.

Claims (5)

1. the construction method of a Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network space topological structure is characterized in that comprising the following steps:

1) pipeline section information and Cooling and Heat Source and the user profile of difference typing water supply network, return pipe net;

2) build respectively incidence matrix, the fundamental circuit matrix of water supply network or return pipe net;

3) build respectively Cooling and Heat Source and user's incidence matrix and fundamental circuit matrix;

4) incidence matrix with the incidence matrix of water supply network, return pipe net and Cooling and Heat Source, user is combined as space pipe network incidence matrix; The fundamental circuit matrix of water supply network, return pipe net and Cooling and Heat Source, user's fundamental circuit matrix is combined as space pipe network fundamental circuit matrix.

2. the construction method of Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network space topological structure according to claim 1, is characterized in that described step 2) incidence matrix and the fundamental circuit matrix that build water supply network or return pipe net comprise following two kinds of situations:

21) build the incidence matrix of water supply network or return pipe net; The row of incidence matrix is the node of water supply network or return pipe net, and row are pipeline sections of water supply network or return pipe net, and incidence matrix props up the incidence matrix piecemeal with a tree incidence matrix and chain and expresses;

22) build the fundamental circuit matrix of water supply network or return pipe net; By the method for spanning tree, the row of fundamental circuit matrix is the fundamental circuit number of water supply network or return pipe net, and row are pipeline sections of water supply network or return pipe net.

3. the construction method of Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network space topological structure according to claim 1, is characterized in that described step 3) Cooling and Heat Source comprises level pressure Cooling and Heat Source, non-constant pressure Cooling and Heat Source.

4. the construction method of Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network space topological structure according to claim 3 is characterized in that incidence matrix and fundamental circuit matrix that described step 3) builds Cooling and Heat Source and user comprise following two kinds of situations:

31) build Cooling and Heat Source and user's incidence matrix; The row of the incidence matrix that Cooling and Heat Source and user place pipeline section are corresponding is total nodes of water supply network and return pipe net, classifies the pipeline section at Cooling and Heat Source and user place as;

The incidence matrix that level pressure Cooling and Heat Source place pipeline section is corresponding is a tree incidence matrix, and non-constant pressure Cooling and Heat Source and incidence matrix corresponding to all user's place pipeline sections are that chain props up incidence matrix;

32) build Cooling and Heat Source and user's fundamental circuit matrix; Non-constant pressure Cooling and Heat Source and fundamental circuit matrix corresponding to all user's place pipeline sections.

5. the construction method of Heating,Ventilating and Air Conditioning (HVAC) hot and cold water pipe network space topological structure according to claim 1 is characterized in that described step 4) comprises following three kinds of situations:

41) tree with water supply network, return pipe net props up incidence matrix, and tree corresponding to level pressure Cooling and Heat Source place pipeline section props up the tree that incidence matrix is combined as the space pipe network and prop up incidence matrix;

42) chain with water supply network, return pipe net props up incidence matrix, and non-constant pressure Cooling and Heat Source and chain corresponding to all user's place pipeline sections prop up the chain that incidence matrix is combined as the space pipe network and prop up incidence matrix;

43) with the fundamental circuit matrix of water supply network, return pipe net, and non-constant pressure Cooling and Heat Source and fundamental circuit matrix corresponding to all user's place pipeline sections are combined as the fundamental circuit matrix of space pipe network.

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