Calculating Carbon Emission Flow in Power Systems Using MATLAB

Calculating Carbon Emission Flow in Power Systems Using MATLAB
Calculating Carbon Emission Flow in Power Systems Using MATLAB

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Calculating Carbon Emission Flow in Power Systems Using MATLAB
Calculating Carbon Emission Flow in Power Systems Using MATLAB

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Calculating Carbon Emission Flow in Power Systems Using MATLAB
Calculating Carbon Emission Flow in Power Systems Using MATLAB

1 Overview

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Calculating Carbon Emission Flow in Power Systems Using MATLAB

Abstract: The concept of analyzing carbon emission flow in power systems has brought a new research direction for low-carbon electricity. Accurately and systematically solving the distribution of carbon emission flow in power systems based on power flow calculations has become an urgent problem to be solved. Based on the theory of carbon emission flow analysis in power systems, this article further analyzes the similarities and differences between carbon emission flow and power system power flow calculations, as well as the influencing factors, calculation systems, and calculation ideas of carbon emission flow in power systems. In response to the needs of carbon emission flow calculations, several key matrices and vectors are defined. By combining power system power flow calculation methods and advanced power network analysis methods, a basic calculation method for carbon emission flow in power systems is established while neglecting network losses, and the correctness of this method is verified through example systems.

Keywords:Carbon emission flow;Low-carbon electricity technology;Power flow calculation;Node carbon potential;

Facing the challenge:

The concept of analyzing carbon emission flow in power systems is like a clear stream, opening new research perspectives in the field of low-carbon electricity. How to systematically reveal the distribution of carbon emission flow in power systems based on accurate power flow calculation results has become a key issue that needs to be tackled urgently.

Innovative strategies and solutions:

Rooted deeply in the theory of carbon emission flow analysis in power systems, we conducted a more detailed discussion, not only analyzing the similarities and differences between carbon emission flow and power system power flow calculations but also comprehensively examining the key factors influencing carbon emission flow in power systems, constructing a systematic calculation framework and logical path. To meet the precise calculation needs of carbon emission flow, we carefully defined a series of core matrices and vectors, which serve as bridges connecting theory and practice.

Furthermore, we ingeniously integrated advanced techniques of power system power flow calculations with the essence of high-level power network analysis. Under the reasonable assumption of neglecting network losses, we innovatively established a basic calculation model for carbon emission flow in power systems. This model is not only theoretically rigorous but also rigorously validated through practical example systems, fully proving its effectiveness and accuracy, providing strong support for quantitative analysis and optimal management of carbon emission flow in power systems.

Article directory:

Calculating Carbon Emission Flow in Power Systems Using MATLAB

Calculating Carbon Emission Flow in Power Systems Using MATLAB

Calculating Carbon Emission Flow in Power Systems Using MATLAB
Calculating Carbon Emission Flow in Power Systems Using MATLAB

2 Operation Results

Calculating Carbon Emission Flow in Power Systems Using MATLAB

Paper results:

Calculating Carbon Emission Flow in Power Systems Using MATLAB

Reproduction results:

Calculating Carbon Emission Flow in Power Systems Using MATLAB
Calculating Carbon Emission Flow in Power Systems Using MATLAB

Paper results:

Calculating Carbon Emission Flow in Power Systems Using MATLAB

Code reproduction results:

Calculating Carbon Emission Flow in Power Systems Using MATLAB
% Part of the code:

%% Solve system power flow
power_flow;
%% Paper reproduction
K=5;% Number of generators
N=14;% Number of nodes in the system
M=11;% Number of loads
%% Branch power flow distribution matrix PB
PB=Pij*baseMVA;
for k=1:length(branch(:,1))
    branch(k,14)=PB(branch(k,1),branch(k,2));
    branch(k,15)=PB(branch(k,2),branch(k,1));
end
for k=1:14
    for kk=1:14
        if PB(k,kk)<0
           PB(k,kk)=0;
        end
    end
end
%% Generator injection distribution matrix
PG=zeros(K,N);
for k=1:length(gen(:,1))
    PG(k,gen(k,1))=gen(k,2);
end
%% Auxiliary variable PZ
xigama=ones(1,K+N);
PZ=[PB;PG];
%% Node active power flow matrix
PN=diag(xigama*PZ);
disp('Node active power flow:')
disp((xigama*PZ)')
%% Generator carbon emission intensity vector
EG=[875;525;0;520;0];
%% Node carbon potential distribution vector
EN=(PN-PB')^(-1)*PG'*EG;
disp('Node carbon potential distribution vector:')
disp(EN)
%% Load distribution matrix
PL=zeros(M,N);
bus_copy=bus;
for k=1:M
    for kk=1:N
        if bus_copy(kk,3)>0
            PL(k,kk)=bus_copy(kk,3);  % The third column of bus is active power
            bus_copy(kk,3)=0;
            break
        end
    end
end
%% Branch carbon flow rate distribution matrix
RB=PB*diag(EN);
RB=RB/1000;
disp('Branch carbon flow rate distribution matrix:')
disp(RB)
%% Load carbon flow rate vector
RL=PL*EN;
RL=RL/1000;% Convert units
disp('Load carbon flow rate vector:')
disp(RL)
Calculating Carbon Emission Flow in Power Systems Using MATLAB

3References

Some content in this article is sourced from the internet, and references will be noted or cited as references. If there are any inaccuracies, please feel free to contact us for deletion. (The content of the article is for reference only, and the actual effect is subject to the results.)

Calculating Carbon Emission Flow in Power Systems Using MATLAB

[1] Zhou Tianrui, Kang Chongqing, Xu Qianyao, et al. An Initial Exploration of the Calculation Method for Carbon Emission Flow in Power Systems [J]. Automation of Electric Power Systems, 2012, 36(11): 44-49.

Calculating Carbon Emission Flow in Power Systems Using MATLAB
Calculating Carbon Emission Flow in Power Systems Using MATLAB

4 MATLAB Code, Data, and Articles

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Calculating Carbon Emission Flow in Power Systems Using MATLAB

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