CN112257279B - Method for constructing feasible region of electric heating comprehensive energy system - Google Patents
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Abstract
The invention discloses a method for constructing a feasible region of an electric heating comprehensive energy system, and belongs to the field of electric heating energy systems. Based on a thermodynamic system dynamic model and topological characteristics in a differential format, establishing a heat supply network equivalent port model suitable for quality adjustment; establishing a port type heat supply network time sequence dynamic model by combining the distribution characteristics of initial conditions; and establishing a feasible region of the electric heating comprehensive energy system by combining the constraint of the operation condition of the electric heating comprehensive energy system. Compared with the prior art, the feasible region construction method intuitively describes the state distribution and evolution rule of the heat supply network system between any two moments, can accurately describe the dynamic process of the heat supply network system, and avoids the recursion process under multi-time sections.
Description
Technical Field
The invention relates to the field of electric heat energy systems, in particular to a method for constructing a feasible region of an electric heat comprehensive energy system.
Background
The sustainable development of socioeconomic technology and the permanent change of energy utilization technology have promoted the deep integration of multi-energy cross integration technology. The electric heating comprehensive energy system has the characteristics of low carbon emission, high energy efficiency and the like through energy echelon utilization and multi-energy coordination optimization, and has gradually developed into an important physical form carrier for energy technology development, and related technical research has become a current research hotspot.
The wide application of coupling equipment such as an electric heating cogeneration unit, an electric boiler, an electric heat pump and the like promotes the deep coupling between a power grid and a heat supply network, is beneficial to improving the flexibility and the regulating capability of the system operation, and brings difficulty to the aspects of on-line control, planning and scheduling of an electric heating comprehensive energy system and the like.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a method for constructing a feasible region of an electric heating comprehensive energy system.
The aim of the invention can be achieved by the following technical scheme:
a method for constructing a feasible region of an electric heating comprehensive energy system comprises the following steps:
step 10: based on a thermodynamic system dynamic model and topological characteristics in a differential format, establishing a heat supply network equivalent port model suitable for quality adjustment;
step 20: establishing a port type heat supply network time sequence dynamic model by combining the distribution characteristics of initial conditions;
step 30: and establishing a feasible region of the electric heating comprehensive energy system by combining the constraint of the operation condition of the electric heating comprehensive energy system.
Further, the step 1 includes the following steps:
establishing a matrix type pipeline temperature distribution equation according to a differential type heat supply network dynamic model;
matrixing the pipeline temperature distribution equation according to an implicit differential format;
constructing an analytical formula of the node temperature with respect to the pipeline initial/boundary conditions;
and constructing a dynamic heat supply network port equivalent model by combining the matrixed pipeline temperature distribution equation and the node temperature mixing equation.
Further, the step 20 includes:
step 201: the boundary conditions of the pipeline are characterized,
step 202: deriving a port type heat supply network dynamic model of time sequence,
step 203: and solving the state distribution rule of the heat supply network at adjacent moments according to the equivalent port model of the dynamic heat supply network.
Further, the pipeline boundary conditions in step 201 may be expressed as:
where N is the total number of segments over time.
Step 202: according to the formula (12), deriving a port type heat supply network dynamic model of the time sequence; substituting the formula (12) into the formula (11) can obtain the state distribution rule of the lower heat supply network at adjacent moments:
n represents the backward time step, and applying equation (13) to any of time k and time k+n, the time-ordered port-type heat supply network dynamic model can be expressed as:
further, the constraint in the step 3 includes: thermal network topology constraints, operational constraints, load demand constraints, grid operational constraints, and thermoelectric coupling constraints.
Further, in the step 3, a heat supply network operation feasible region is constructed according to heat supply network topology constraint, operation constraint, load constraint and unit operation characteristic constraint; heat supply network operation feasible regionCan be expressed as:
wherein d CHP Indicating the outflow of the coupling unit,and->Respectively representing the upper limit and the lower limit of the outflow flow of the unit; t (T) s CHP And T r CHP Respectively representing the water supply/return temperature of the coupling unit, < + >>And->Respectively represent the upper limit and the lower limit of the water supply temperature of the coupling unit, < ->And->Respectively representing the upper limit and the lower limit of the backwater temperature of the coupling unit; t (T) s,ld,max And T s,ld,min Respectively representing upper and lower limits of load water supply temperature in the water supply network; t (T) r,sr Representing the backwater temperature of a heat source in a backwater network; f (f) s/r (T gd ,T bd ) The expression (14) applies to the water supply network and the water return network, respectively.
Further, in step 3, the grid feasible region may be expressed as:
wherein P is CHP Representing the electrical power output of the coupling unit; c (C) e Representing an upper limit of electric power output of the coupling unit; v represents the node voltage amplitude, V max And V min Respectively representing upper and lower limits of the node voltage amplitude; θ represents the node voltage phase angle; f (f) e CHP The relation between the electric power of the coupling unit and the node voltage phase angle obtained according to the classical alternating current tide equation is shown;
combining with electrothermal coupling constraint, establishing a feasible region omega of an electrothermal integrated energy system CHP This can be expressed as:
in the method, in the process of the invention,representing electrothermal coupling constraints, may be represented as different sets of equations depending on different unit operating characteristics.
The invention has the beneficial effects that:
the method for constructing the feasible region of the electric heating comprehensive energy system based on the equivalent port model intuitively describes the state distribution and evolution rule of the heat supply network system between any two moments, can accurately describe the dynamic process of the heat supply network system, and avoids the recursion process under multiple time sections; the system state distribution is described as an externally input linear function, so that the numerical relation of output quantity and input quantity is established, the required input quantity interval can be calculated according to the numerical interval of the output quantity, and the system state distribution is an accurate model equivalent and can be used for accurately describing the operation boundary of a unit; the effective feasible region of the unit can be intuitively depicted because the operation constraint and the topology constraint are considered and the alternate solution of node-temperature in the heat supply network is avoided.
Drawings
The invention is further described below with reference to the accompanying drawings.
FIG. 1 is a flow chart of a method of constructing a feasible region of the present application;
FIG. 2 is a block diagram of a thermodynamic system employed in an embodiment of the present invention;
FIG. 3 is a time sequence variation process of a unit temperature feasible region in an embodiment of the invention;
fig. 4 is a diagram of an effective feasible region of machine set output in an embodiment of the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
In one example of the application, a method for constructing a feasible region of an electrothermal integrated energy system is provided, and the method comprises the following steps:
step 10: based on a thermodynamic system dynamic model and topological characteristics in a differential format, establishing a heat supply network equivalent port model suitable for quality adjustment;
step 20: establishing a port type heat supply network time sequence dynamic model by combining the distribution characteristics of initial conditions;
step 30: and establishing a feasible region of the electric heating comprehensive energy system by combining the constraint of the operation condition of the electric heating comprehensive energy system.
Specifically, the step 10 includes the following steps:
step 101: and establishing a matrix type pipeline temperature distribution format according to the differential type heat supply network dynamic model. The differential heat supply network may be expressed as:
wherein, mu 1-4 Coefficient terms representing different temperature components; alpha and beta are coefficient terms for ease of description construction; τ and h are respectively differential space-time steps; k represents a differential time step, i represents a differential space step; m is the mass flow of the pipeline, v is the flow rate of the pipeline, and lambda is the heat conductivity coefficient of the pipeline; t (T) a Is ambient temperature; c (C) ρ Is the specific heat capacity of the working medium; t is the temperature of the pipeline;
step 102: matrixing the formula (1) according to an implicit differential format to obtain a matrix expression of the dynamic model:
in the method, in the process of the invention,and->Respectively representing the pipeline temperature vectors segmented at the time k+1 and the time k; m represents the number of spatial segments of the pipeline; />Representing the temperature corresponding to each segment point on the pipeline at the moment k; u and V are respectively represented as a constant coefficient lower triangular matrix formed by the formula (2); χ and γ represent vectors used to characterize the boundary conditions of the pipe temperature, respectively. χ is used to characterize a set of known boundary conditions, where χ i =μ 4 T a (1. Ltoreq.i.ltoreq.M) for a pipe of known boundary conditions χ 0 Equal to the boundary condition of the pipe, otherwise χ 0 Equal to 0; gamma is used to characterize an unknown set of boundary conditions, assuming a m For the modified segmented node temperature-pipe start temperature correlation matrix, γ can be expressed as:
in the method, in the process of the invention,is the non-source node temperature at time k+1.
Step 103: based on the construction of a node temperature mixing equation based on a dynamic model, an analytical expression of the node temperature with respect to the pipeline initial/boundary conditions is constructed. The node temperature mixing equation can be expressed as:
wherein M is out For node net outflow traffic matrix, M out,sr And M out,ns Outflow flow components of the source node and the non-source node respectively;and->The temperatures of the source node and the non-source node at the moment k+1 respectively; />Inflow matrix for nodes, respectively>Is a component of the same; />Water supply temperature vector for a pipe section representing a given boundary condition,/->A temperature vector representing a pipe segment for which a boundary condition is not specified; />Representing segmented node and inflow pipeline correlation matrices; m' represents the segmented pipe flow.
Step 104: and constructing a dynamic heat supply network port equivalent model by combining a matrix type pipeline temperature distribution equation and a node temperature mixing equation. Dividing the pipe temperature into known boundary/initial conditions and quantities to be calculated, equation (2) is rewritable as:
in the method, in the process of the invention,and->The components corresponding to the boundary conditions and the to-be-calculated quantities in the k+1 moment χ are respectively; />And->The components corresponding to the boundary conditions and the to-be-calculated quantities in the k+1 moment gamma are respectively; h and D are normal coefficient matrixes obtained by calculation according to a normal coefficient matrix UV; h 11/12/21/22 And D 11/12/21/22 Corresponding elements in H and D respectively; a is that m,gd For the association matrix A m Corresponding rows of the to-be-calculated quantities.
Substituting equation (5) and equation (10) into equation (9) yields an equivalent port model of the dynamic heat supply network as follows:
in the method, in the process of the invention,and->Respectively representing known boundary conditions and unknown quantities to be solved in pipeline temperatures segmented at the moment k; w (W) 1-5 A coefficient matrix corresponding to each component; e is an identity matrix.
The step 20 includes:
step 201: for the characteristic that a single external input always remains unchanged for a period of time, the boundary condition can be considered to always remain constant for a calculation time, thereby expressing the time-series distribution state of the pipeline boundary condition. The pipeline boundary conditions at any instant in time can be expressed as:
where N is the total number of segments over time.
Step 202: and (3) according to the formula (12), deriving a port type heat supply network dynamic model of the time sequence. Substituting the formula (12) into the formula (11) to obtain the state distribution rule of the heat supply network at adjacent time
Assuming n represents the backward time step, applying equation (13) to any of the k time and k+n time, the time-ordered port-based thermal network dynamic model can be expressed as
The step 30 includes:
step 301: and constructing a heat supply network operation feasible region according to the heat supply network topology constraint, the operation constraint, the load constraint and the unit operation characteristic constraint. Heat supply network operation feasible regionCan be expressed as:
wherein d CHP Indicating the outflow of the coupling unit,and->Respectively representing the upper limit and the lower limit of the outflow flow of the unit; />And->Respectively representing the water supply/return temperature of the coupling unit, < + >>And->Respectively represent the upper limit and the lower limit of the water supply temperature of the coupling unit, < ->And->Respectively representing the upper limit and the lower limit of the backwater temperature of the coupling unit; t (T) s,ld,max And T s,ld,min Respectively representing upper and lower limits of load water supply temperature in the water supply network; t (T) r,sr Representing the backwater temperature of a heat source in a backwater network; f (f) s/r (T gd ,T bd ) The expression (14) applies to the water supply network and the water return network, respectively.
Step 302: and according to the power grid operation constraint and the unit characteristic constraint, establishing a power grid feasible region. Grid feasible regionCan be expressed as:
wherein P is CHP Representing the electrical power output of the coupling unit; c (C) e Representing an upper limit of electric power output of the coupling unit; v represents the node voltage amplitude, V max And V min Respectively representing upper and lower limits of the node voltage amplitude; θ represents the node voltage phase angle;and the relation between the electric power of the coupling unit and the node voltage phase angle obtained according to the classical alternating current flow equation is shown.
Step 303: combining with electrothermal coupling constraint, establishing a feasible region omega of an electrothermal integrated energy system CHP This can be expressed as:
in the method, in the process of the invention,representing electrothermal coupling constraints, may be represented as different sets of equations depending on different unit operating characteristics.
In summary, the method for constructing the feasible region of the electric heating integrated energy system based on the equivalent port model provided by the embodiment of the invention intuitively describes the state distribution and evolution rule of the heat supply network system between any two moments, can accurately describe the dynamic process of the heat supply network system, and avoids the recursive process under multiple time sections; the system state distribution is described as an externally input linear function, so that the numerical relation of output quantity and input quantity is established, the required input quantity interval can be calculated according to the numerical interval of the output quantity, and the system state distribution is an accurate model equivalent and can be used for accurately describing the operation boundary of a unit; the effective feasible region of the unit can be intuitively depicted because the operation constraint and the topology constraint are considered and the alternate solution of node-temperature in the heat supply network is avoided.
In another embodiment of the invention, using the thermodynamic system shown in FIG. 3 as an example, a feasible region is constructed using the method of the example described above. In the thermodynamic system, each pipeline is divided into 50 ends, and the time step is 40; the upper and lower limits of the water supply temperature at the load are respectively 70 ℃ and 85 ℃, and the upper and lower limits of the backwater temperature are respectively 40 ℃ and 50 ℃; the upper and lower limits of the water supply temperature at the heat source are respectively 70 ℃ and 90 ℃, and the upper and lower limits of the backwater temperature are respectively 35 ℃ and 55 ℃; the ambient temperature was-10 ℃, the upper limit of the electric power and the thermal power output of the unit was 40MW, and the pipeline parameters of the system are shown in the following table 1.
Table 1 thermodynamic system parameters
Numbering device | Head node | Tail node | Pipe length/meter | Pipe diameter/meter | Coefficient of thermal conductivity | Roughness of | Flow rate/kg/s |
1 | 1 | 2 | 3500 | 0.5 | 0.3 | 0.0005 | 220.277 |
2 | 2 | 3 | 1750 | 0.5 | 0.3 | 0.0005 | 151.462 |
3 | 3 | 4 | 1750 | 0.3 | 0.3 | 0.0005 | 82.683 |
4 | 2 | 5 | 1750 | 0.3 | 0.3 | 0.0005 | 68.815 |
5 | 3 | 6 | 750 | 0.3 | 0.3 | 0.0005 | 68.779 |
In the description of the present specification, the descriptions of the terms "one embodiment," "example," "specific example," and the like, mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms do not necessarily refer to the same embodiments or examples. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
The foregoing has shown and described the basic principles, principal features and advantages of the invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, and that the above embodiments and descriptions are merely illustrative of the principles of the present invention, and various changes and modifications may be made without departing from the spirit and scope of the invention, which is defined in the appended claims.
Claims (4)
1. The method for constructing the feasible region of the electric heating comprehensive energy system is characterized by comprising the following steps of:
step 10: based on a thermodynamic system dynamic model and topological characteristics in a differential format, establishing a heat supply network equivalent port model suitable for quality adjustment;
step 20: establishing a port type heat supply network time sequence dynamic model by combining the distribution characteristics of initial conditions;
step 30: and establishing a feasible region of the electric heating comprehensive energy system by combining the constraint of the operation condition of the electric heating comprehensive energy system.
The constraints in the step 30 include: topological constraint of a heat supply network, operation constraint, load demand constraint, power grid operation constraint and thermoelectric coupling constraint;
in the step 30, a heat supply network operation feasible region is constructed according to heat supply network topology constraint, operation constraint, load constraint and unit operation characteristic constraint; heat supply network operation feasible regionExpressed as:
wherein d CHP Indicating the outflow of the coupling unit,and->Respectively representing the upper limit and the lower limit of the outflow flow of the unit; t (T) s CHP And T r CHP Respectively representing the water supply/return temperature of the coupling unit, < + >>And->Respectively represent the upper limit and the lower limit of the water supply temperature of the coupling unit, < ->And->Respectively representing the upper limit and the lower limit of the backwater temperature of the coupling unit; t (T) s,ld,max And T s,ld,min Respectively representing upper and lower limits of load water supply temperature in the water supply network; t (T) r,sr Representing the backwater temperature of a heat source in a backwater network; f (f) s/r (T gd ,T bd ) The expression is respectively expressed by the formula (14) applied to a water supply network and a water return network;
in step 30, the grid feasible region is expressed as:
wherein P is CHP Representing the electrical power output of the coupling unit; c (C) e Indicating coupling machineAn upper electric power output limit of the group; v represents the node voltage amplitude, V max And V min Respectively representing upper and lower limits of the node voltage amplitude; θ represents the node voltage phase angle; f (f) e CHP The relation between the electric power of the coupling unit and the node voltage phase angle obtained according to the classical alternating current tide equation is shown;
combining with electrothermal coupling constraint, establishing a feasible region omega of an electrothermal integrated energy system CHP Expressed as:
in the method, in the process of the invention,representing electrothermal coupling constraints, may be represented as different sets of equations depending on different unit operating characteristics.
2. The method for constructing a feasible region of an electrothermal integrated energy system according to claim 1, wherein the step 10 comprises the steps of:
establishing a matrix type pipeline temperature distribution equation according to a differential type heat supply network dynamic model;
matrixing the pipeline temperature distribution equation according to an implicit differential format;
constructing an analytical formula of the node temperature with respect to the pipeline initial/boundary conditions;
and constructing a dynamic heat supply network port equivalent model by combining the matrixed pipeline temperature distribution equation and the node temperature mixing equation.
3. The method for constructing a feasible region of an electrothermal integrated energy system according to claim 1, wherein the step 20 comprises:
step 201: the boundary conditions of the pipeline are characterized,
step 202: deriving a port type heat supply network dynamic model of time sequence,
step 203: and solving the state distribution rule of the heat supply network at adjacent moments according to the equivalent port model of the dynamic heat supply network.
4. The method for constructing the feasible region of the electric heating integrated energy system according to claim 3, wherein,
the pipeline boundary conditions in step 201 are expressed as:
wherein N is the total number of segments in time;
step 202: according to the formula (12), deriving a port type heat supply network dynamic model of the time sequence; substituting the formula (12) into the formula (11) can obtain the state distribution rule of the lower heat supply network at adjacent moments:
n represents the backward time step, and applying equation (13) to any of time k and time k+n, the time-ordered port-type heat supply network dynamic model can be expressed as:
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