CN116361603A - Calculation method for carbon emission flow of electric power system - Google Patents

Calculation method for carbon emission flow of electric power system Download PDF

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CN116361603A
CN116361603A CN202310310290.9A CN202310310290A CN116361603A CN 116361603 A CN116361603 A CN 116361603A CN 202310310290 A CN202310310290 A CN 202310310290A CN 116361603 A CN116361603 A CN 116361603A
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王志伟
李德鑫
纪秀
安银平
董洪达
冷俊
王佳蕊
刘畅
张海锋
庄冠群
王伟
吴迪
张家郡
孟祥东
张懿夫
高松
郭仲起
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Datang Xiangyang Wind Power Generation Co ltd
Changchun Institute of Applied Chemistry of CAS
Electric Power Research Institute of State Grid Jilin Electric Power Co Ltd
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Changchun Institute of Applied Chemistry of CAS
Electric Power Research Institute of State Grid Jilin Electric Power Co Ltd
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Abstract

A calculation method of carbon emission flow of an electric power system belongs to the technical field of carbon emission of the electric power system, and firstly, compared with trend analysis, the calculation of carbon flow is carried out on the basis of trend calculation, and all factors affecting trend distribution can affect carbon and sulfur. Secondly, adaptation is improved for the existing calculation method so that the method can be used for calculating the carbon flow of the lossy network. Finally, based on an improved carbon flow calculation model of the lossy network, the application of calculating the total carbon emission of the power grid is increased, a calculation model of the lossy carbon emission of the power grid is built, and the carbon emission of each branch and node in the power system is calculated; the invention realizes the accurate calculation and allocation of the carbon emission flow of the power system, and widely develops low-carbon power, develops low-carbon technology and improves the calculation precision of carbon emission.

Description

Calculation method for carbon emission flow of electric power system
Technical Field
The invention belongs to the technical field of carbon emission of an electric power system, and particularly relates to a calculation method of carbon emission flow of the electric power system.
Background
With the increasing prominence of energy crisis and climate change problems, important consensus of developing clean renewable energy, reducing excessive consumption of fossil fuel and realizing low-carbon sustainable development is gradually formed in various countries in the world. Meanwhile, various industries, especially the low-carbon power field of the power industry, are basic work for calculating the carbon emission of the power industry, widely develop low-carbon power, develop low-carbon technology and improve the carbon emission prediction precision, and provide a foundation for sustainable development.
Currently, the carbon emission calculation of the electric power system mainly comprises a macroscopic statistical method and a carbon flow analysis method. The macro statistics method starts from macro data and performs statistics according to the total energy consumption, and has the advantages of simplicity in calculation, convenience in use and the like. The prior art does not extend the carbon emission responsibility of the power system from the power generation side to the load side and the line side or consider the effect of the active network loss on the carbon flow distribution.
Disclosure of Invention
The technical problems to be solved by the invention are as follows: the method is characterized by establishing an index system of the carbon emission flow theory based on interaction mechanism parameters of the electric power market and the carbon market, and carrying out adaptability improvement on the existing calculation method so that the method can be used for carrying out carbon flow calculation of a lossy network. And secondly, based on an improved carbon flow calculation model of the lossy network, increasing the application of calculating the total carbon emission of the power grid, constructing a calculation model of the lossy carbon emission of the power grid, and finally calculating the carbon emission of each branch in the power system.
A calculation method of carbon emission flow of an electric power system comprises the following steps, wherein the following steps are sequentially carried out,
step one, a power system power flow calculation model is established, the power flow model equations of n node power systems are as follows,
Figure SMS_1
wherein P is i Active power of node, n is the number of network nodes, Q i For the reactive power of the node,
Figure SMS_2
for the node voltage +.>
Figure SMS_3
For node admittance, +.>
Figure SMS_4
Is the node voltage phasor.
Calculating the flow model equation established in the first step by adopting a Newton-Laportson method to obtain the transmission active power of each branch and the loss power of each branch;
each branch transmitting active power P ij Is that
P ij =U i U j (G ij cosδ ij +B ij sinδ ij )
Wherein G is ij +B ij As a node admittance matrix, voltage phase angle delta i1
Each branch consumes power
Figure SMS_5
Is that
Figure SMS_6
In the method, in the process of the invention,
Figure SMS_7
is active power, +.>
Figure SMS_8
Is reactive power +.>
Figure SMS_9
The voltage is node voltage, R is resistance, j is imaginary unit, and X is reactance.
Step three, introducing power drawn by a load from a generator, power drawn by a branch from the generator and network loss power born by the generator, and obtaining distribution of power generation power in node loads, branch power and network loss;
step four, obtaining the carbon emission intensity and the carbon emission flow rate of the electric power system according to the electric power flow distribution obtained in the step one to the step three; carbon emission intensity E of electric power system N For the i-th generator set, the carbon emission intensity is set as e ni
E N =[e n1 e n2 e nn ] T
The carbon emission flow rate comprises the load carbon emission rate of each node, the carbon emission rate of the branch generator and the network loss carbon emission rate;
carbon emission rate R of unit i to be borne by load of node m m,i Is that
R m,i =P im,Li E N
Wherein P is im,Li And equivalently drawing power for the load of the node m load cluster node i.
The kth node's generator-to-branch i-j transmission carbon emission rate R k,i Is that
P k,i =P ij,Gi E N
Wherein P is ij,Gi The power equivalent to the power generator pair branch of the access node i.
The generator of the kth node assumes the carbon emission rate R of the net power loss to branch i-j kj,i Is that
Figure SMS_10
In the method, in the process of the invention,
Figure SMS_11
the equivalent lost power for the access node i generator.
In the third step, the load draws power P from the generator im,Li Is that
Figure SMS_12
Wherein P is im For the input power of each generator to the node, P m For the power flowing through the node m,
Figure SMS_13
is the node carbon potential.
Figure SMS_14
Wherein P is ji For line power, P j Power is injected for node j.
The power drawn by the third branch from the generator is the kth node, and the contribution of the generator to the power transmitted by the branch k-j
Figure SMS_15
Wherein P is kj Transmit power for branch k-j, P Gi For the branch G-i transmission power,
Figure SMS_16
e is i Transpose of e i Column vector n 1.
The step three generator bears the net loss power
Figure SMS_17
In order to achieve this, the first and second,
Figure SMS_18
in the method, in the process of the invention,
Figure SMS_19
is the loss of power for branch k-j.
Through the design scheme, the invention has the following beneficial effects: the method for calculating the carbon emission flow of the electric power system increases the application of calculating the total carbon emission of the electric power network by using an improved carbon flow calculation model of a lossy network, builds a calculation model of the carbon emission of the electric power network, and finally calculates the carbon emission of each branch in the electric power system; the method is used for accurately calculating and apportioning the carbon emission flow of the power system, widely developing low-carbon power, developing low-carbon technology and improving the carbon emission calculation precision.
Drawings
The invention is further described with reference to the drawings and detailed description which follow:
fig. 1 is a schematic flow chart of a method for calculating carbon emission flow of an electric power system according to the present invention.
Detailed Description
A method for calculating carbon emission flow of an electric power system, as shown in fig. 1, comprises the following steps,
step one, establishing a power flow calculation model of a power system
The network equation expressed in node admittance matrix is:
Figure SMS_20
the expansion is as follows:
Figure SMS_21
wherein:
Figure SMS_22
injecting a current phasor for the node; />
Figure SMS_23
Is the node voltage phasor; y is a node admittance matrix; n is the number of network nodes.
The node power and voltage for the node current can be expressed as:
Figure SMS_24
for a network of n nodes, 2n equations can be written to list the node power P i =P Gi -P Li And Q i =Q Gi -Q Li Introducing a network equation, wherein the injection power of each node is the power input power P of the node Gi 、Q Gi And load demand power P Li ,Q Li Algebraic sum of (2). Thus, the general form of the flow equation for an n-node power system is
Figure SMS_25
Step two, calculating the tide by using Newton-Laportson method
And (3) rewriting the node power equation (4) into an equation under polar coordinates to obtain:
Figure SMS_26
n-1 active power imbalance equations can be written by the PQ node and the PU node altogether, wherein P is as follows is Is a known power.
Correction equation of node power equation:
Figure SMS_27
m reactive power imbalance equations can be written by the PQ node
Figure SMS_28
Writing the equations (5), (6) and (7) into a correction equation, and further calculating to obtain the following matrix;
Figure SMS_29
wherein:
Figure SMS_30
Figure SMS_31
in the form of a block of jacobian matrix.
And calculating the power flow by adopting a Newton-Laportson method, firstly inputting the original data of the network, thereby forming a node admittance matrix, secondly determining the node voltage initial value, limiting the iteration times, and obtaining the branch power and the loss power by the iteration result precision requirement.
According to the tide result calculated in the step, the calculation of the active power transmitted by each branch can be realized
P ij =U i U j (G ij cosδ ij +B ij sinδ ij ) (10)
According to the active power P i Reactive power storage Q i Can directly calculate the branch power loss
Figure SMS_32
According to the transmission active power and loss of each branch, the carbon production and consumption in the calculation of the corresponding carbon flow of each node and each line can be calculated.
Step three, calculating the power drawn by the load from the generator:
the power drawn by the load from the generator at the mth node can be expressed as:
Figure SMS_33
wherein P is im For the input power of each generator to the node, P m For the power flowing through node m, P Gi Generating power for node iMechanical power.
Figure SMS_34
The matrix is derived from the flow distribution results.
Step four, calculating the power drawn by the branch from the generator
The k node, the generator's contribution to the branch k-j transmission power can be expressed as:
Figure SMS_35
wherein P is kj Transmitting power for branch k-j
Step five, network loss power born by the generator
Figure SMS_36
Figure SMS_37
Is the loss of power for branch k-j.
Step six, forming an index system aiming at the carbon emission flow of the power system
Calculation of a carbon emission flow, a carbon emission flow rate, a branch carbon emission flow density, and a grid carbon flow calculation model for calculating grid losses.
Specifically, the carbon emission flow rate is a cumulative value of the carbon emission flow flowing from the unit and reaching a certain load node through the network branch in a unit time.
Carbon emission flow rate: the carbon emission amount of a certain branch or a certain node in the system along with the active power flow in unit time is specifically expressed as follows:
Figure SMS_38
the power of the generator set and the carbon emission thereof are synchronously generated, and the power and the carbon emission have consistency. If the carbon emission corresponding to the generated power is known, the carbon emission can be apportioned in the same proportion according to the active component, so that the distribution characteristic of the carbon emission of the unit in the power network is obtained.
Branch carbon emission stream density:
when the carbon flow is from different power sources, different emission characteristics are generated by different generator sets, but in the same branch or the same node, the carbon emission flow is in direct proportion to the magnitude of the active power flow of the power system, and therefore two indexes of the branch carbon emission density and the node carbon potential are introduced to correspond to the power flow calculation. The first introduced branch carbon emission density corresponding to the active power flow is the ratio of the carbon flow rate on a certain branch to the size of the active power flow, and is specifically expressed as follows:
Figure SMS_39
secondly, introducing a ratio of carbon flow passing through a certain section of branch circuit to electric energy transmission in a certain period of time, wherein the average carbon flow density is specifically expressed as follows:
Figure SMS_40
e for node carbon potential n The ratio of the carbon emission flow to the active power flow of a certain node in the system is expressed by the following calculation formula according to the defined node carbon potential:
Figure SMS_41
and (3) calculating a power grid carbon flow calculation model considering network loss:
the node carbon potential is specifically expressed as follows:
Figure SMS_42
the significance of the node carbon potential is that the carbon emission flow of the power generation end corresponding to the electric energy consumption of the part which cannot be represented by the branch is strongly represented, so that the calculation of the carbon emission flow consumption at the point is facilitated. Likewise, for a node to which only a power plant is connected, its node carbon potential is equal to the real-time carbon emission intensity of the corresponding group.
The carbon injection potential of the generator to each node is calculated as follows:
Figure SMS_43
wherein: e (E) G For the generator set carbon emission intensity vector, generator sets are different resulting in having their different carbon emission characteristics. In the same way, the carbon injection potential of each branch to each node is
Figure SMS_44
The total carbon injection potential of each node in the network is
Figure SMS_45
So the total carbon injection potential of a certain node i is:
Figure SMS_46
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure SMS_47
for an N-dimensional unit row vector, and the i-th element is 1:
Figure SMS_48
since PN is a diagonal array, the above formula is expanded into the dimension of the whole system, and the method can be obtained:
Figure SMS_49
the finishing method can obtain:
Figure SMS_50
the branch carbon flow rate and the load carbon flow rate vector can be further obtained from the node carbon potential, and the further derivation process is as follows. In order to obtain branch carbon flow rate and load carbon flow rate vectors from the node carbon potential, we further need to know the relationship between the node carbon potential and the adjacent branch carbon flow density. For any node n, it is known by definition that the node carbon potential is:
Figure SMS_51
the branch sets of the flow inflow side and the flow outflow side are respectively marked as N+ and N-, the active flows of the inflow side branch i and the outflow side branch j are respectively Pi and Pj, and the proportion sharing principle can know that:
Figure SMS_52
wherein: p (P) i The branch carbon flow density for line i.
By definition, the carbon flow density of the outflow side branch j is:
Figure SMS_53
from the above equation, the density of all branch carbon flows flowing out from the node is equal to the node carbon potential, so the branch carbon flow rate can be calculated from the node carbon potential.
The branch carbon flow rate matrix definition is similar to the element definition of branch tide, and the calculation and deduction processes are as follows:
Figure SMS_54
the calculation result of the carbon emission flow of the power grid is obtained, and the accuracy of the calculation result of the power flow and the accuracy of the carbon emission characteristic of the unit are influenced by the accuracy of the calculation result of the carbon emission flow.
1. Carbon emission intensity E of generator set N
Due toThe carbon emissions may vary from generator set to generator set, and the carbon emission intensity is a known condition in the calculation of the carbon flow. Let the carbon emission intensity of the ith generator set be e ni The generator is based on the carbon emission intensity vector:
E N =[e n1 e n2 e nn ] T (15)
2. carbon emission flow rate calculation
The carbon emission rate of the unit i needed to bear the load of the node m is as follows:
R m,i =P im,Li E N (16)
the generator of the kth node transmits the carbon emission rate to the branch i-j:
R k,i =P ij,Gi E N (17)
the generator of the kth node assumes the carbon emission rate of the net power to branch i-j:
Figure SMS_55
according to the method for calculating the carbon emission flow of the electric power system, the accurate calculation and the allocation of the carbon emission flow of the electric power system can be realized, low-carbon electric power is widely developed, a low-carbon technology is developed, and the carbon emission calculation precision is improved, so that a low-carbon development mechanism is established, and the method is important for realizing energy conservation and emission reduction in the electric power department of China and responding to the national sustainable development strategy. The magnitude of the carbon emissions of the power system is proportional to the magnitude of the active power flow inside the power system. When the running state of the power system, the grid structure of the system, the calculated boundary conditions and the like are all determined, the power flow calculation can be performed, and the power flow flowing condition of each branch is calculated. The magnitude of the carbon emissions of the power system is proportional to the magnitude of the active power flow inside the power system. When the running state of the power system, the grid structure of the system, the calculated boundary conditions and the like are all determined, the power flow calculation can be performed, and the power flow flowing condition of each branch is calculated. When the node carbon potential of a certain node in the power system is determined, according to the property of the carbon emission flow, the carbon flow density of all branch power flows flowing out of the node active power flow is equal to the node carbon potential of the node. When the node carbon potential used in the system can be calculated, the carbon flow rates of all the branches can be obtained by combining the carbon potential of the deer-to-deer starting node with the branch trend. The data of carbon flow, carbon flow and the like of each branch in the system can be further calculated.

Claims (4)

1. A calculation method of carbon emission flow of an electric power system is characterized by comprising the following steps: comprising the following steps, which are sequentially carried out,
step one, a power system power flow calculation model is established, the power flow model equations of n node power systems are as follows,
Figure QLYQS_1
wherein P is i Active power of node, n is the number of network nodes, Q i For the reactive power of the node,
Figure QLYQS_2
for the node voltage +.>
Figure QLYQS_3
For node admittance, +.>
Figure QLYQS_4
Is the node voltage phasor;
calculating the flow model equation established in the first step by adopting a Newton-Laportson method to obtain the transmission active power of each branch and the loss power of each branch;
each branch transmitting active power P ij Is that
P ij =U i U j (G ij cosδ ij +B ij sinδ ij )
Wherein G is ij +B ij As a node admittance matrix, voltage phase angle delta i1
Each branch consumes power
Figure QLYQS_5
Is that
Figure QLYQS_6
In the method, in the process of the invention,
Figure QLYQS_7
is active power, +.>
Figure QLYQS_8
Is reactive power +.>
Figure QLYQS_9
The voltage is node voltage, R is resistance, j is imaginary unit, and X is reactance;
step three, introducing power drawn by a load from a generator, power drawn by a branch from the generator and network loss power born by the generator, and obtaining distribution of power generation power in node loads, branch power and network loss;
step four, obtaining the carbon emission intensity and the carbon emission flow rate of the electric power system according to the electric power flow distribution obtained in the step one to the step three; carbon emission intensity E of electric power system N For the i-th generator set, the carbon emission intensity is set as e ni
E N =[e n1 e n2 e nn ] T
The carbon emission flow rate comprises the load carbon emission rate of each node, the carbon emission rate of the branch generator and the network loss carbon emission rate;
carbon emission rate R of unit i to be borne by load of node m m,i Is that
R m,i =P im,Li E N
Wherein P is im,Li The power equivalently absorbed by the load of the node m load cluster node i;
the kth node's generator-to-branch i-j transmission carbon emission rate R k,i Is that
R k,i =P ij,Gi E N
Wherein P is ij,Gi The equivalent power of the power generator pair branch of the access node i is;
the generator of the kth node assumes the carbon emission rate R of the net power loss to branch i-j kj,i Is that
Figure QLYQS_10
In the method, in the process of the invention,
Figure QLYQS_11
the equivalent lost power for the access node i generator.
2. The method for calculating the carbon emission stream of the electric power system according to claim 1, wherein: in the third step, the load draws power P from the generator im,Li Is that
Figure QLYQS_12
Wherein P is im For the input power of each generator to the node, P m For the power flowing through node m, P Gi For the generator power of node i,
Figure QLYQS_13
is the node carbon potential;
Figure QLYQS_14
wherein P is ji For line power, P j Power is injected for node j.
3. The method for calculating the carbon emission stream of the electric power system according to claim 1, wherein: the power drawn by the third branch from the generator is the kth node, and the generator transmits power to the branch k-jContribution of (3)
Figure QLYQS_15
Wherein P is kj Transmit power for branch k-j, P Gi For the branch G-i transmission power,
Figure QLYQS_16
e is i Transpose of e i Column vector n 1.
4. The method for calculating the carbon emission stream of the electric power system according to claim 1, wherein: the step three generator bears the net loss power
Figure QLYQS_17
In order to achieve this, the first and second,
Figure QLYQS_18
in the method, in the process of the invention,
Figure QLYQS_19
is the loss of power for branch k-j.
CN202310310290.9A 2023-03-28 2023-03-28 Calculation method for carbon emission flow of electric power system Pending CN116361603A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117114718B (en) * 2023-10-20 2023-12-29 国网浙江省电力有限公司丽水供电公司 Carbon emission management method, device, electronic equipment and storage medium
CN117371650A (en) * 2023-10-09 2024-01-09 国网江苏省电力有限公司连云港供电分公司 Accurate carbon metering method and system for power distribution network considering load side electric energy substitution

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117371650A (en) * 2023-10-09 2024-01-09 国网江苏省电力有限公司连云港供电分公司 Accurate carbon metering method and system for power distribution network considering load side electric energy substitution
CN117371650B (en) * 2023-10-09 2024-06-07 国网江苏省电力有限公司连云港供电分公司 Accurate carbon metering method and system for power distribution network considering load side electric energy substitution
CN117114718B (en) * 2023-10-20 2023-12-29 国网浙江省电力有限公司丽水供电公司 Carbon emission management method, device, electronic equipment and storage medium

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