CN109347107A - One kind be incorporated into the power networks electric heating interconnection integrated energy system tidal current computing method - Google Patents
One kind be incorporated into the power networks electric heating interconnection integrated energy system tidal current computing method Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
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Abstract
The invention discloses one kind be incorporated into the power networks electric heating interconnection integrated energy system tidal current computing method.This method includes the following contents, the coupling and Interactive Mechanism between electric system and therrmodynamic system are studied first, establish cogeneration of heat and power (Combined Heat and Power, CHP) the coupling elements model such as unit, heat pump and circulating pump, then electric system and therrmodynamic system are included in unified analysis decision system, electric heating interconnection integrated energy system model is established, the system load flow being incorporated into the power networks finally is calculated using Newton-Raphson approach.The feasibility and validity of sample calculation analysis result verification mentioned method herein.
Description
Technical field
The present invention relates to one kind be incorporated into the power networks electric heating interconnection integrated energy system tidal current computing method, belong to provide multiple forms of energy to complement each other it is comprehensive
Close energy resource system field.
Background technique
Electric system and therrmodynamic system are important energy supply system, substantially mutually indepedent both in traditional sense, by
Commensurate and department do not plan independently, run and manage.Electric system and the interconnection of therrmodynamic system can discharge comprehensive energy system
The potential benefit of system, to push economy and society sustainable development to bring new opportunities to change using energy source mode.In face of working as
Modern society's Energy restructuring, the ever-increasing new situations of energy-saving and emission-reduction pressure, electric heating interconnection integrated energy system come into being.
With the application of the coupling elements such as cogeneration of heat and power (Combined Heat and Power, CHP) unit, heat pump, circulating pump, electricity
Coupling between Force system and therrmodynamic system and enhancing is interacted, the Holistic modeling and comprehensive analysis of system become more and more important.
Electric power system tide analysis can effectively reflect the real-time operating conditions of system with calculating, be most base in electric system
This electrical calculating, but lack for the Load flow calculation of electric heating interconnection integrated energy system is opposite.CHP unit can utilize combustion gas
The power generation of high-grade energy, low-grade energy heating and cooling, energy consumption efficiency is now in integrated energy system up to 80% or more
A kind of most operation mode of commercial promise.In addition, providing multiple forms of energy to complement each other system containing wind/light/storage, also tend to common as one kind
Means stabilize the power swing of renewable energy power generation.And for such issues that research, Load flow calculation be it is in need of consideration most
The Load flow calculation of one of basic problem, electric heating interconnection integrated energy system is the theoretical basis of subsequent planning and operation.
Summary of the invention
Goal of the invention: it is an object of the invention to solve the Load flow calculation of existing electric heating interconnection integrated energy system to lack relatively
Weary problem.
Technical solution: to realize the above-mentioned technical purpose, the invention is realized by the following technical scheme:
One kind be incorporated into the power networks electric heating interconnection integrated energy system tidal current computing method, comprising the following steps:
Step 1: establishing coupling element model, comprising: CHP unit model, heat pump model, circulating pump model；
Step 2: electric system and therrmodynamic system being included in unified analysis decision system, establish electric heating interconnection comprehensive energy
System model, it includes electric power system model, therrmodynamic system hydraulic model and thermodynamic model that electric heating, which interconnects integrated energy system model,；
Step 3: the trend for the electric heating interconnection integrated energy system being incorporated into the power networks, analysis are calculated using Newton-Raphson approach
Influence of the coupling element to electric heating interconnection integrated energy system trend；
Further, the step 1 specifically includes the following steps:
Step 101: whether changing according to CHP unit hotspot stress, can be divided into and determine hotspot stress and change hotspot stress two types, table
It is as follows up to formula:
In formula:And cmRespectively determine the electricity power output of hotspot stress CHP unit, heat power output and determines hotspot stress； And czThe respectively electricity power output, heat power output and change hotspot stress of change hotspot stress CHP unit；ηeTo become hotspot stress CHP unit
Condensation efficiency；FinFor fuel input rate；Wherein, cmFor a steady state value, and czThe value changed for one, but it is practical some
In period, czIt remains unchanged；
Step 102: establishing heat pump model, the electric conversion efficiency of heat pump are as follows:
In formula: ηhpFor heat pump electric conversion efficiency；PhpAnd HhpThe active power and corresponding heat of respectively heat pump consumption go out
Power.
Heat pump and CHP units connected in series improve system heat power output；Wherein, γ is that the active power of heat pump consumption accounts for CHP unit
The percentage of electricity power output；PsourceAnd HsourceRespectively the electricity of heat pump and CHP unit association system, heat are contributed；
Step 103: establishing circulating pump model, circulating pump consumption active power recycles the water in therrmodynamic system constantly；
The active-power P of circulating pump consumptionpAre as follows:
Pp=mpghp/106ηp (4)
In formula: mpFor the flow for flowing through circulating pump；G is acceleration of gravity；hpFor the head loss of network；ηpFor circulating pump
Efficiency.
Further, the step 2 specifically includes the following steps:
Step 201: electric power system model is established, the power expression of node is as follows:
In formula: P, Q are the active power and reactive power of node；Y is node admittance matrix；U& is node voltage phasor；
Step 202: heat supply network hydraulic model can by Flow continuity equation, circuit pressure head equation and head loss equation Lai
Description, it may be assumed that
AHM=mq (6)
BHhf=0 (7)
hf=Km | m | (8)
In formula: AHFor heat supply network node-branch network incidence matrix；M is heat-net-pipeline flow；mqFor the flow for injecting node；
BHFor heat supply network circuit-branch loop incidence matrix；hfFor the head loss as caused by pipe friction；K is the resistance coefficient of pipeline,
Depend greatly on the diameter of pipeline；
Step 203: the solution of thermodynamic model relates generally to heat supply temperature Ts, output temperature T0With backheat temperature Tr, heat supply temperature
Spend TsIndicate the temperature before hot water injection node, output temperature T0Indicate temperature when hot water stream egress, backheat temperature TrTable
Show hot water stream egress and mixes the temperature imported after recovery channel with the hot water of other pipelines；Heat supply network thermodynamic model can be by
Node caloric equation, pipe temperature landing equation and node mixing temperature equation describe, it may be assumed that
H=Cpmq(Ts-T0) (9)
(∑mout)Tout=∑ (minTin) (11)
In formula: H is the heat that thermic load consumes or heat source provides；CpFor the specific heat capacity of water；TstartAnd TendRespectively pipeline
The temperature of beginning and end hot water；TaFor environment temperature；λ is the coefficient of heat conduction of pipeline；L is duct length；moutAnd minRespectively
For the flow for flowing out and injecting node；ToutAnd TinRespectively flow out and inject the temperature of the hot water of node.
Further, in the step 3, integrated energy system Load flow calculation base is interconnected using Newton-Raphson approach electric heating
In electric power system tide equation (5) and therrmodynamic system waterpower-heat equation (6)~(11), and it is included in the flowing of energy between system
(1)~(4)；The Newton-Raphson approach iteration form and update equation of electric heating interconnection integrated energy system Load flow calculation are as follows:
Xi+1=Xi-J-1ΔF (12)
In formula: i is the number of iterations；F is input variable；X is state variable；θ and V is respectively Electric Power System Node Voltage
The matrix that amplitude and phase angle are constituted；M and T is respectively therrmodynamic system pipeline flow and node temperature (heat supply temperature and backheat temperature)
The matrix of composition；J is Jacobian matrix, by electric power submatrix Je, electric heating submatrix Jeh, thermoelectricity submatrix Jhe, heating power submatrix JheComposition:
Further, in the step 3, shadow of the analysis coupling element to electric heating interconnection integrated energy system trend distribution
It rings；
In the interconnection integrated energy system operation of practical electric heating, step 1 coupling element has following three kinds different coupling sides
Formula:
Coupled modes one: only CHP unit, i.e. electric system and therrmodynamic system are only interconnected by cogeneration units；
Two: CHP unit of coupled modes and circulating pump are included in and cogeneration units that is, on the basis of coupled modes one
Connected circulating pump.
Three: CHP unit of coupled modes, circulating pump and heat pump, i.e., on the basis of coupled modes two, heat pump and cogeneration of heat and power
It is that electric heating interconnects integrated energy system power supply heat supply that units connected in series, which constitutes association system,；
The trend distribution that system under above-mentioned three kinds of coupled modes is calculated using Newton-Raphson approach, analyzes coupling element pair
Electric heating interconnects the influence of integrated energy system trend distribution.
The utility model has the advantages that compared with the prior art, the invention has the benefit that
1) unified analysis decision system is included in electric system and therrmodynamic system by the present invention, establishes electric heating interconnection synthesis
Energy resource system model.Electric system and therrmodynamic system are important energy supply system, and the interconnection of system can discharge comprehensive energy
The potential benefit of source system, in electric heating interconnection integrated energy system, electric system and natural gas system influence each other mutual system
About, individual electric system or therrmodynamic system analysis have been difficult to be applicable in, and the Holistic modeling of system provides for subsequent comprehensive analysis
It may.
2) present invention analyzes coupling element by Newton-Raphson approach Load flow calculation and interconnects integrated energy system tide to electric heating
The influence of stream.The Load flow calculation that electric heating interconnects integrated energy system will be subsequent planning, analysis, run based theoretical,
Coupling element analysis helps to excavate integrated energy system potentiality, for improving the flexibility of electric heating energy supply system, promotes
The integration of the intermittent renewable energy is of great significance.
Detailed description of the invention
Fig. 1 is the Electrothermal Properties of CHP unit of the present invention；
Fig. 2 is the Electrothermal Properties of heat pump of the present invention and CHP unit association system；
Fig. 3 is algorithm flow chart of the invention；
Fig. 4 is present invention test example topology diagram.
Specific embodiment
Technical solution of the present invention is described further with reference to the accompanying drawing.
One kind be incorporated into the power networks electric heating interconnection integrated energy system tidal current computing method, comprising the following steps:
Step 1: coupling element model is established in coupling and Interactive Mechanism between research electric system and therrmodynamic system, is wrapped
It includes: CHP unit model, heat pump model, circulating pump model.
Step 2: electric system and therrmodynamic system being included in unified analysis decision system, establish electric heating interconnection comprehensive energy
System model, comprising: electric power system model, therrmodynamic system hydraulic model and thermodynamic model；
Step 3: Newton-Raphson approach calculates the trend for the electric heating interconnection integrated energy system being incorporated into the power networks, analysis coupling
Influence of the element to electric heating interconnection integrated energy system trend.
Step 1 specifically includes the following steps:
Step 101:CHP unit is generated electricity using the high-grade energy of combustion gas, and low-grade energy heating and cooling, energy consumption efficiency can
Up to 80% or more.Whether Fig. 1 is the Electrothermal Properties of CHP unit, change according to its hotspot stress, can be divided into and determine hotspot stress (such as combustion gas
Turbine, reciprocating internal combustion engine) and become hotspot stress (such as extraction steam turbine) two types, expression formula is as follows:
In formula:And cmRespectively determine the electricity power output of hotspot stress CHP unit, heat power output and determines hotspot stress； And czThe respectively electricity power output, heat power output and change hotspot stress of change hotspot stress CHP unit；ηeTo become hotspot stress CHP unit
Condensation efficiency；FinFor fuel input rate.Wherein, cmFor a steady state value, and czThe value changed for one, but it is practical some
In period, czIt remains unchanged.
Step 102: heat pump is a kind of energy saver for making heat flow to from low level heat energy high-order heat source using high potential, electricity
Thermal conversion efficiency are as follows:
In formula: ηhpFor heat pump electric conversion efficiency；PhpAnd HhpThe active power and corresponding heat of respectively heat pump consumption go out
Power.
Heat pump often improves system heat power output with CHP units connected in series, as shown in Figure 2.Wherein, γ is the wattful power of heat pump consumption
Rate accounts for the percentage of CHP unit electricity power output；PsourceAnd HsourceRespectively the electricity of heat pump and CHP unit association system, heat are contributed.
Step 103: circulating pump consumption active power recycles the water in therrmodynamic system constantly.Circulating pump is normally at heat
Power plant, for maintaining the pressure difference between heating network and backheat pipe network, the active-power P of circulating pump consumptionpAre as follows:
Pp=mpghp/106ηp (4)
In formula: mpFor the flow for flowing through circulating pump；G is acceleration of gravity；hpFor the head loss of network；ηpFor circulating pump
Efficiency.
Step 2 specifically includes the following steps:
Step 201: the AC Ioad flow model description of electric power system model classics, the power expression of node are as follows:
In formula: P, Q are the active power and reactive power of node；Y is node admittance matrix；U& is node voltage phasor.
Step 202: hydraulic model is for determining pipeline flow in therrmodynamic system.Hydraulic model and electric power system model exist
Many similarities, 1 analogy electric system of table and therrmodynamic system philosophy.
1 electric system of table and the analogy of therrmodynamic system philosophy
Heat supply network hydraulic model can be described by Flow continuity equation, circuit pressure head equation and head loss equation, it may be assumed that
AHM=mq (6)
BHhf=0 (7)
hf=Km | m | (8)
In formula: AHFor heat supply network node-branch network incidence matrix；M is heat-net-pipeline flow；mqFor the flow for injecting node；
BHFor heat supply network circuit-branch loop incidence matrix；hfFor the head loss as caused by pipe friction；K is the resistance coefficient of pipeline,
Depend greatly on the diameter of pipeline.
Step 203: the solution of thermodynamic model relates generally to following three kinds of temperature, heat supply temperature TsIndicate that hot water injects node
Temperature before, output temperature T0Indicate temperature when hot water stream egress, backheat temperature TrIndicate hot water stream egress and and its
The hot water mixing of his pipeline imports the temperature after recovery channel.Heat supply network thermodynamic model can be by node caloric equation, pipeline temperature
Landing equation and node mixing temperature equation are spent to describe, it may be assumed that
H=Cpmq(Ts-T0) (9)
(∑mout)Tout=∑ (minTin) (11)
In formula: H is the heat that thermic load consumes or heat source provides；CpFor the specific heat capacity of water；TstartAnd TendRespectively pipeline
The temperature of beginning and end hot water；TaFor environment temperature；λ is the coefficient of heat conduction of pipeline；L is duct length；moutAnd minRespectively
For the flow for flowing out and injecting node；ToutAnd TinRespectively flow out and inject the temperature of the hot water of node.
Step 3 specifically includes the following steps:
Step 301: Newton-Raphson approach calculates the trend for the electric heating interconnection integrated energy system being incorporated into the power networks.
Newton-Raphson approach electric heating interconnects integrated energy system Load flow calculation and is based on electric power system tide equation (5) and heat
Force system waterpower-heat equation (6)~(11), and it is included in flowing (1)~(4) of energy between system.Fig. 3 is algorithm of the invention
Flow chart.The Newton-Raphson approach iteration form and update equation of electric heating interconnection integrated energy system Load flow calculation are as follows:
Xi+1=Xi-J-1ΔF (12)
In formula: i is the number of iterations；F is input variable；X is state variable；θ and V is respectively Electric Power System Node Voltage
The matrix that amplitude and phase angle are constituted；M and T is respectively therrmodynamic system pipeline flow and node temperature (heat supply temperature and backheat temperature)
The matrix of composition；J is Jacobian matrix, by electric power submatrix Je, electric heating submatrix Jeh, thermoelectricity submatrix Jhe, heating power submatrix JheComposition:
Step 302: influence of the analysis coupling element to electric heating interconnection integrated energy system trend distribution.
In the interconnection integrated energy system operation of practical electric heating, step 1 coupling element has following three kinds different coupling sides
Formula:
(1) coupled modes one: only CHP unit, i.e. electric system and therrmodynamic system are only interconnected by cogeneration units.
(2) two: CHP unit of coupled modes and circulating pump are included in and are connected with cogeneration units that is, on the basis of (1)
Circulating pump.
(3) three: CHP unit of coupled modes, circulating pump and heat pump, i.e., on the basis of (2), heat pump and cogeneration units
Association system in series is that electric heating interconnects integrated energy system power supply heat supply, as shown in Figure 2.
The trend distribution of system under above-mentioned three kinds of coupled modes, analysis coupling are calculated using step 301 Newton-Raphson approach
Influence of the element to electric heating interconnection integrated energy system trend distribution.
It is the electric heating interconnection integrated energy system that is incorporated into the power networks that the present invention, which tests example, and system topology is as shown in Figure 3.It should
System includes 4 grid nodes and 3 heat supply network nodes, and the heating network and recycling network of therrmodynamic system are symmetrical.In electric system
Grid nodes 4 are grid balance node, are connected with external bulk power grid.Heat supply network node 3 is heat supply network balance nodes in therrmodynamic system, with
Grid nodes 3 are connected by coupling element.
Electric heating under above-mentioned three kinds of coupled modes is calculated using the mentioned Newton-Raphson approach of the present invention and interconnects integrated energy system
Trend distribution, calculated result is as shown in table 2.
2 calculation of tidal current of table
In view of under the mode of being incorporated into the power networks, therrmodynamic system is not influenced by electric system.Therefore, either which kind of coupling side
The calculation of tidal current of formula, therrmodynamic system is identical, therefore only compares the active of electric power system tide calculated result and system
P is lostloss/Mw.Here program runtime takes the average value of 100 calculating time.
System runs on coupled modes one and the calculation of tidal current of coupled modes two is differed 10-2The order of magnitude, this shows
The influence that circulating pump interacts to electric system and therrmodynamic system is smaller.Grid nodes 4 inject active-power P4It is negative
Value, system active power foldback enter bulk power grid, and the integrated energy system of electric heating interconnection at this time is equivalent to the power supply of bulk power grid.When this
When system runs on coupled modes three, the electricity power output of cogeneration units 40% causes to be supplied to power grid negative for driving heat pump
The electricity power output of lotus is greatly decreased, and bulk power grid is needed additionally to supplement part active power, and grid nodes 4 inject active-power P4It is positive
Value.The voltage phase angle that this variation of the direction of energy directly results in coupled modes three lands.
It is above-mentioned simulation results show the feasibility and validity of mentioned method, electric system and therrmodynamic system pass through not herein
Same coupled modes can flexibly run on various modes, and the Load flow calculation that electric heating interconnects integrated energy system will be subsequent rule
It draws, analysis, operation based theoretical.
Claims (5)
1. one kind is incorporated into the power networks, electric heating interconnects integrated energy system tidal current computing method, which comprises the following steps:
Step 1: establishing coupling element model, comprising: CHP unit model, heat pump model, circulating pump model；
Step 2: electric system and therrmodynamic system being included in unified analysis decision system, establish electric heating interconnection integrated energy system
Model, it includes electric power system model, therrmodynamic system hydraulic model and thermodynamic model that electric heating, which interconnects integrated energy system model,；
Step 3: the trend for the electric heating interconnection integrated energy system being incorporated into the power networks, analysis coupling are calculated using Newton-Raphson approach
Influence of the element to electric heating interconnection integrated energy system trend.
2. the electric heating interconnection integrated energy system tidal current computing method according to claim 1 that is incorporated into the power networks, which is characterized in that
The step 1 specifically includes the following steps:
Step 101: whether changing according to CHP unit hotspot stress, can be divided into and determine hotspot stress and change hotspot stress two types, expression formula
It is as follows:
In formula:And cmRespectively determine the electricity power output of hotspot stress CHP unit, heat power output and determines hotspot stress；
And czThe respectively electricity power output, heat power output and change hotspot stress of change hotspot stress CHP unit；ηeFor the condensation effect for becoming hotspot stress CHP unit
Rate；FinFor fuel input rate；Wherein, cmFor a steady state value, and czThe value changed for one, but in some practical period
It is interior, czIt remains unchanged；
Step 102: establishing heat pump model, the electric conversion efficiency of heat pump are as follows:
In formula: ηhpFor heat pump electric conversion efficiency；PhpAnd HhpThe respectively active power of heat pump consumption and corresponding heat power output；
Heat pump and CHP units connected in series improve system heat power output；Wherein, γ is that the active power of heat pump consumption accounts for CHP unit electricity and goes out
The percentage of power；PsourceAnd HsourceRespectively the electricity of heat pump and CHP unit association system, heat are contributed；
Step 103: establishing circulating pump model, circulating pump consumption active power recycles the water in therrmodynamic system constantly；Circulation
Pump the active-power P of consumptionpAre as follows:
Pp=mpghp/106ηp (4)
In formula: mpFor the flow for flowing through circulating pump；G is acceleration of gravity；hpFor the head loss of network；ηpFor the effect of circulating pump
Rate.
3. the electric heating interconnection integrated energy system tidal current computing method according to claim 1 that is incorporated into the power networks, which is characterized in that
The step 2 specifically includes the following steps:
Step 201: electric power system model is established, the power expression of node is as follows:
In formula: P, Q are the active power and reactive power of node；Y is node admittance matrix；For node voltage phasor；
Step 202: heat supply network hydraulic model can be retouched by Flow continuity equation, circuit pressure head equation and head loss equation
It states, it may be assumed that
AHM=mq (6)
BHhf=0 (7)
hf=Km | m | (8)
In formula: AHFor heat supply network node-branch network incidence matrix；M is heat-net-pipeline flow；mqFor the flow for injecting node；BHFor
Heat supply network circuit-branch loop incidence matrix；hfFor the head loss as caused by pipe friction；K is the resistance coefficient of pipeline, very
The diameter of pipeline is depended in big degree；
Step 203: the solution of thermodynamic model relates generally to heat supply temperature Ts, output temperature T0With backheat temperature Tr, heat supply temperature Ts
Indicate the temperature before hot water injection node, output temperature T0Indicate temperature when hot water stream egress, backheat temperature TrIndicate heat
Water flow egress simultaneously mixes the temperature imported after recovery channel with the hot water of other pipelines；Heat supply network thermodynamic model can be by node
Caloric equation, pipe temperature landing equation and node mixing temperature equation describe, it may be assumed that
H=Cpmq(Ts-T0)(9)
(∑mout)Tout=∑ (minTin) (11)
In formula: H is the heat that thermic load consumes or heat source provides；CpFor the specific heat capacity of water；TstartAnd TendRespectively pipeline starting point
With the temperature of terminal hot water；TaFor environment temperature；λ is the coefficient of heat conduction of pipeline；L is duct length；moutAnd minRespectively flow
Out and injection node flow；ToutAnd TinRespectively flow out and inject the temperature of the hot water of node.
4. the electric heating interconnection integrated energy system tidal current computing method according to claim 1 that is incorporated into the power networks, which is characterized in that
In the step 3, electric power system tide equation is based on using Newton-Raphson approach electric heating interconnection integrated energy system Load flow calculation
(5) and therrmodynamic system waterpower-heat equation (6)~(11), and flowing (1)~(4) of energy between system are included in；Electric heating interconnection is comprehensive
Newton-Raphson approach iteration form and the update equation for closing energy resource system Load flow calculation are as follows:
Xi+1=Xi-J-1ΔF (12)
In formula: i is the number of iterations；F is input variable；X is state variable；θ and V is respectively the amplitude of Electric Power System Node Voltage
The matrix constituted with phase angle；M and T is respectively that therrmodynamic system pipeline flow and node temperature (heat supply temperature and backheat temperature) are constituted
Matrix；J is Jacobian matrix, by electric power submatrix Je, electric heating submatrix Jeh, thermoelectricity submatrix Jhe, heating power submatrix JheComposition:
5. the electric heating interconnection integrated energy system tidal current computing method according to claim 4 that is incorporated into the power networks, which is characterized in that
In the step 3, influence of the analysis coupling element to electric heating interconnection integrated energy system trend distribution；
In the interconnection integrated energy system operation of practical electric heating, step 1 coupling element has following three kinds different coupled modes:
Coupled modes one: only CHP unit, i.e. electric system and therrmodynamic system are only interconnected by cogeneration units；
Two: CHP unit of coupled modes and circulating pump are included in and are connected with cogeneration units that is, on the basis of coupled modes one
Circulating pump；
Three: CHP unit of coupled modes, circulating pump and heat pump, i.e., on the basis of coupled modes two, heat pump and cogeneration units
Association system in series is that electric heating interconnects integrated energy system power supply heat supply；
The trend distribution that system under above-mentioned three kinds of coupled modes is calculated using Newton-Raphson approach, analyzes coupling element to electric heating
Interconnect the influence of integrated energy system trend distribution.
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| CN111030120A (en) * | 2019-12-05 | 2020-04-17 | 国网辽宁省电力有限公司大连供电公司 | Load flow calculation method for unified platform of urban integrated energy network |
| CN111191182B (en) * | 2019-12-17 | 2023-03-14 | 东南大学 | Static combined heat and power flow hybrid solving method based on linearized thermal model |
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| CN111428351B (en) * | 2020-03-11 | 2023-07-28 | 国网辽宁省电力有限公司大连供电公司 | Electric-thermal comprehensive energy system tide calculation method based on forward-push back substitution method |
| CN111428351A (en) * | 2020-03-11 | 2020-07-17 | 国网辽宁省电力有限公司大连供电公司 | Electric-thermal comprehensive energy system load flow calculation method based on forward-backward substitution method |
| CN111859590A (en) * | 2020-07-21 | 2020-10-30 | 大连理工大学 | Method for constructing heat transport thermal resistance model |
| CN112994020A (en) * | 2021-03-31 | 2021-06-18 | 南京信息工程大学 | Multi-energy system load flow decomposition calculation method |
| CN113255105A (en) * | 2021-04-26 | 2021-08-13 | 上海电力大学 | Load flow calculation method of electric and thermal comprehensive energy system with bidirectional coupling network structure |
| CN113836739A (en) * | 2021-09-30 | 2021-12-24 | 沈阳工程学院 | Power flow calculation method for electric heating combined system considering multiple losses of heat supply pipe network |
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