**Load Flow analysis in power system**

Load flow is a simulation of an electrical power system that analyzes power distribution networks from the given line and bus data. It is the process of calculating the amount of power that will be drawn from a network. The basic principle behind load flow is that if we know the current demand on a particular bus, we can calculate how much power is being drawn from the system. This power is then distributed to all other buses in the network. Distribution power flow analysis includes voltage, current, power factor, real and reactive power losses, harmonics, etc.

In some applications, particularly in power system planning, distribution automation, and practical studies, it is crucial to solve the load flow problem efficiently so that the load flow solution can be repeatedly calculated for different situations.

power flow analysis is done to determine if there are any equipment problems or if the network is overloaded. If a problem is found, the analysis helps determine where the problem exists and how to fix it to enhance the quality of power supply to customers.

**Electrical Power Systems Design and Analysis**

In a power system, steady state stability refers to maintaining the system’s initial condition after a slight disturbance. In other words, the system tends to restore itself to the initial conditions quickly. Power systems are very complex, and many variables need to be taken into account when solving for the steady state operation of the power system.

In a distributed load flow analysis for the power grid, four quantities are classified as Real and Reactive Power, Voltage Magnitude and Phase Angle. In the distribution system or electrical power transmission, power flow analysis buses, and quantities are associated with each other. The buses are entitled Load bus, Generator bus, and reference slack bus.

```
clc;
clear all;
format short;
tic
m=load('loaddata33bus.m');
l=load('linedata33bus.m');
% m=load('loaddata69bus.m');
% l=load('linedata69bus.m');
br=length(l);
no=length(m);
f=0;
d=0;
MVAb=100;
KVb=12.66;
Zb=(KVb^2)/MVAb;
% Per unit Values
for i=1:br
R(i,1)=(l(i,4))/Zb;
X(i,1)=(l(i,5))/Zb;
end
for i=1:no
P(i,1)=((m(i,2))/(1000*MVAb));
Q(i,1)=((m(i,3))/(1000*MVAb));
end
R;
X;
P;
Q;
C=zeros(br,no);
for i=1:br
a=l(i,2);
b=l(i,3);
for j=1:no
if a==j
C(i,j)=-1;
end
if b==j
C(i,j)=1;
end
end
end
C;
e=1;
for i=1:no
d=0;
for j=1:br
if C(j,i)==-1
d=1;
end
end
if d==0
endnode(e,1)=i;
e=e+1;
end
end
endnode;
h=length(endnode);
for j=1:h
e=2;
f=endnode(j,1);
% while (f~=1)
for s=1:no
if (f~=1)
k=1;
for i=1:br
if ((C(i,f)==1)&&(k==1))
f=i;
k=2;
end
end
k=1;
for i=1:no
if ((C(f,i)==-1)&&(k==1));
f=i;
g(j,e)=i;
e=e+1;
k=3;
end
end
end
end
end
for i=1:h
g(i,1)=endnode(i,1);
end
g;
w=length(g(1,:));
for i=1:h
j=1;
for k=1:no
for t=1:w
if g(i,t)==k
g(i,t)=g(i,j);
g(i,j)=k;
j=j+1;
end
end
end
end
g;
for k=1:br
e=1;
for i=1:h
for j=1:w-1
if (g(i,j)==k)
if g(i,j+1)~=0
adjb(k,e)=g(i,j+1);
e=e+1;
else
adjb(k,1)=0;
end
end
end
end
end
adjb;
for i=1:br-1
for j=h:-1:1
for k=j:-1:2
if adjb(i,j)==adjb(i,k-1)
adjb(i,j)=0;
end
end
end
end
adjb;
x=length(adjb(:,1));
ab=length(adjb(1,:));
for i=1:x
for j=1:ab
if adjb(i,j)==0 && j~=ab
if adjb(i,j+1)~=0
adjb(i,j)=adjb(i,j+1);
adjb(i,j+1)=0;
end
end
if adjb(i,j)~=0
adjb(i,j)=adjb(i,j)-1;
end
end
end
adjb;
for i=1:x-1
for j=1:ab
adjcb(i,j)=adjb(i+1,j);
end
end
b=length(adjcb);
% voltage current program
for i=1:no
vb(i,1)=0.99;
end
for s=1:10
for i=1:no
nlc(i,1)=conj(complex(P(i,1),Q(i,1)))/(vb(i,1));
end
nlc;
for i=1:br
Ibr(i,1)=nlc(i+1,1);
end
Ibr;
xy=length(adjcb(1,:));
for i=br-1:-1:1
for k=1:xy
if adjcb(i,k)~=0
u=adjcb(i,k);
%Ibr(i,1)=nlc(i+1,1)+Ibr(k,1);
Ibr(i,1)=Ibr(i,1)+Ibr(u,1);
end
end
end
Ibr;
for i=2:no
g=0;
for a=1:b
if xy>1
if adjcb(a,2)==i-1
u=adjcb(a,1);
vb(i,1)=((vb(u,1))-((Ibr(i-1,1))*(complex((R(i-1,1)),X(i-1,1)))));
g=1;
end
if adjcb(a,3)==i-1
u=adjcb(a,1);
vb(i,1)=((vb(u,1))-((Ibr(i-1,1))*(complex((R(i-1,1)),X(i-1,1)))));
g=1;
end
end
end
if g==0
vb(i,1)=((vb(i-1,1))-((Ibr(i-1,1))*(complex((R(i-1,1)),X(i-1,1)))));
end
end
s=s+1;
end
nlc;
Ibr;
vb;
vbp=[abs(vb) angle(vb)*180/pi];
for i=1:no
vbp(i,1)=abs(vb(i));
vbp(i,2)=angle(vb(i))*(180/pi)
end
toc;
for i=1:no
va(i,2:3)=vbp(i,1:2);
end
for i=1:no
va(i,1)=i;
end
va;
Ibrp=[abs(Ibr) angle(Ibr)*180/pi];
PL(1,1)=0;
QL(1,1)=0;
% losses
for f=1:br
Pl(f,1)=(Ibrp(f,1)^2)*R(f,1);
Ql(f,1)=X(f,1)*(Ibrp(f,1)^2);
PL(1,1)=PL(1,1)+Pl(f,1);
QL(1,1)=QL(1,1)+Ql(f,1);
end
Plosskw=(Pl)*100000;
Qlosskw=(Ql)*100000;
PL=(PL)*100000;
QL=(QL)*100000;
voltage = vbp(:,1);
angle = vbp(:,2)*(pi/180);
plot(m(:,1),abs(voltage));
% hold on
% Plosskw
sum(Plosskw );
sum(Qlosskw);
%
Plosskw(33,1)=PL;
Qlosskw(33,1)=QL;
sprintf('Power-Loss=%d KW, Power-Loss=%d KVAr' ,PL,QL')
Sr=(1:33)';
plot(voltage)
%% EXCEL FOR DG
T =table(Sr,Plosskw,Qlosskw,angle,voltage);
T(:,1:5);
excel_file = 'NO_DG_IEEE33.xlsx';
writetable(T,excel_file,'Sheet',1,'Range','H1');
```

**Bus Bar in Power System**

When we look at our power grid system, we see it as one extensive bus network. The power grid uses buses that connect multiple lines, components like generators, and loads. Four parameters are associated with different types of buses in power flow studies like

Voltage magnitude

Voltage phase angle

Reactive power

Active power

Buses in the load flow study of the distribution system or other networks are classified as generation buses, load buses, or slack buses.

**Power Distribution Terminal Bus Bar**

1) A generation bus (P-V bus) is a name for the generator station in a power grid. If you have solar panels on your roof, you could run a photovoltaic bus, the generator station in the network. The generator bus is known to have unknown variables. They are the phase angle θ of the voltage and the reactive power Q. The bus voltage is always defined with the other buses that share this bus.

2) The buses without generators are referred to as load bus or (P-Q bus) that integrates reactive and active power into the bus system. Here magnitude of the voltage V and phase angle θ is unknown. It would be best if you used the load flow equation to find both these quantities. The real and reactive power is known based on the line and load data.

3) The significance of the slack bus in load flow analysis is that it does not carry any load and is known as a utility bus. The magnitude and phase of the voltage are fixed while real P and reactive power Q are unknown. The main advantage of a generator bus is that it provides active control, meaning that the bus can be used entirely by itself. Once the power loss is known, it is possible to create a distribution network to compensate for it.

“PV Bus” is the bus that supports the voltage and real power.

“PQ Bus” is the bus that needs real and reactive power.

“Reference Bus” is the bus that supports real and reactive power.

PV_Bus (Generation Bus).

PQ_Bus (Load Bus).

Slack_bus (Utility Bus).

**Load Flow Analysis using Forward Backward Sweep Method**

Three techniques are used to calculate load flow, with two being the most common. Gauss Seidel, Newton Raphson, and Fast Decoupled methods are used to solve linear systems.

Newton-Raphson & Gauss-Seidel are standard algorithms best for high voltage systems and complex non-linear problems. However, this method is more straightforward than the newton-raphson and gauss seidel method for power flow analysis having simpler implementation, good convergence speed, good accuracy, and low memory requirement.

**Unbalanced Load Flow Analysis**

The need for optimizing power systems through efficient and reliable techniques has increased due to the increasing complexity of power distribution systems. Load flow studies should also be able to handle various system configurations accurately and quickly, so they are the most crucial power system analysis tool.

When using a radial system to supply power, you will often notice that the distribution systems are unbalanced due to single-phase, two-phase, or three-phase loads. So, in this case, you need to look at the load-flow solution and consider how they would be impacted if there were unbalanced.

The balanced load-flow approach cannot directly apply to an unbalanced network. Three-phase power flow analysis is an alternative to the single-phase method of analyzing unbalanced systems. However, it cannot develop by extending the single-phase balanced methods.

A three-phase load-flow method must be used to analyze power distribution problems. This will allow you to study the effects of fundamental connections like phase shifts and transformation ratios for each phase at different nodes and how they affect your power system. The balanced models are not useful anymore for un-transposed lines and cables.

**Load Flow and Short Circuit Analysis**

If a current-carrying conductor or a part of the circuit gets in contact with another wire, other parts of the circuit, or even the ground, it causes a short circuit. That is why short circuit study and analysis are important because the current flow in an excessive amount through the path of low resistance, then the system will become unstable, known as a power surge.

This may damage the power source by producing heat and fires, which is why fuses glow. So it is essential to check whether the power system is protected against short circuits, and what type of protective device should be used, as per its requirement, to counteract short circuit currents.

The extra heat effect weakens electrical wiring, insulation, and other components and can also damage. Overcurrent protection devices (OCPD) detect an overload current and then automatically disconnect the load in order to prevent damage to the load. Through the short circuit test, aka the short circuit analysis, you can find out the magnitude of the short circuit current to stop it.

**What are the benefits of short circuit analysis?**

Provides information on how to determine the level and type of protective equipment required for the specific use of each device and helps to avoid unplanned outages and downtime. It makes you comply with NEC and provides information required for NFPA.

**Power system analysis of short circuit load flow and harmonics**

With the Harmonic Load Flow Analysis, you can analyze harmonic current and voltage in your system, determine current characteristics and diagnose any faults affecting the objective function’s voltage and current constraints.

**Electrical Load Flow Analysis Software:**

ETAP

PowerWorld Simulator

DIgSILENT Power Factory

PSCAD

**ETAP load flow analysis**

The best load-flow software on the market is ETAP Load Flow Software. It is the industry-leading solution for performing voltage drop calculations and power flow analysis. It is user-friendly and a powerful calculation engine with efficient and reliable outcomes.

**Power World Simulator**

Load flow analysis using this software package designed to perform operations related to voltage power system on a time frame of up to several days.

**What is SKM used for?**

SKM Power Tools is a simulation program used by power utilities to simulate real events that occur in power systems. It provides a graphical user interface that allows users to quickly and accurately visualize the behavior of large electric power networks.

## Interested to Learn More:

Read relevant articles to improve your understanding. Visit the below link for additional information including details about project design and simulation.

** load flow analysis using Matlab Simulink**

**IEEE 33 bus distribution feeder & IEEE 14 Bus System**

**Particle swarm optimization Matlab Code**

**Local Distribution System instead of IEEE Distribution Test Feeder**

**Solar and Wind distributed generation**

The End.

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Unknownhi Sir,

could you please send me the codes for gauss seidal load flow and newton rapson method. thankd

Unknownhi Sir,

could you please send me the codes for gauss seidal load flow and newton rapson method. thanks

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PreetiPlease send me the code with Qlimit in Newton raphson load flow method

Matlab OnlineEmail?

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Could you please send me the source code and required documentation at yassinelsisy@gmail.com

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Thanks

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DenintaThis comment has been removed by the author.

DenintaThis comment has been removed by the author.

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TezelHi, may i have the code too ? Im using it for a small experiment.

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Adil Feyyaz ÇakırHello Sir, can you please share the code with me too? Thank you!

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Can you please share your MATLAB code , noori.mostafa@aol.com

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AbeniHallo Sir,

Please support me by sharing this code, and thank you inadvence for your support.

e-mail: abka04@gmail.com

Unknownsir plz send me code file.

Takele Ferede AgajieHello sir, thank for special learning for matlab. would you send me the matlab code please(email : tferede19@gmail.com)

Thank you in advance!!!

Alif zulkiflisir, can i get this Matlab Code,plz send it

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Izzat ImranCan you please send me the code

izzatimran48@gmail.com

SimulationTutorSent

Mohammedcan you please send me the code on my email.

2503195A@student.gla.ac.uk

SimulationTutorCheck your email.

RasyaCan you please send me the code, sir

SimulationTutorSent.

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touchmee26@gmail.com

SimulationTutorCheck your email.

ImaddCan you please send me the code

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SimulationTutorCheck your email.

ImaddCan you please send me the code plzz

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SimulationTutorRespond sent.

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AhmedDear Sir,

Can you please send me the code my email: it_eng_ahmed@yahoo.com

Best regards.

omerDear sir,

Greetings can you please share with me the Matlab code,

my email is: it_eng_ahmed@yahoo.com

aminhi, can you please send me the code.

SimulationTutorSure

philipPlease can I have the file?

SimulationTutorSure.

Bishal Gautamhello sir,

I watched your video regarding load flow analysis in youtube and thats what brings me to comment here. please share code for load flow analysis and also if you have harmonic load flow analysis code please sent. I find difficulty in representation of spectra of harmonic current and also code.

waiting for your response

Bishal Gautamgautambishal07@gmail.com

ABHINAV KDear sir

please send me Matlab code for practice,i am learning Matlab now a day

thanks

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Hernan MancipeCan you please send me the code

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ArchieDear sir, Can you please send me the matlab code, sharing my email mengweiqi7@gmail.com

Thanks in advance

RenePlease can I also have a copy of this file?

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ReneHello Sir

Please can I have this file

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ReyPlease can I have the file?

ebrene2021@gmail.com

Renesend me this code at my E-mail address

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thanks

omarسيدي من فضلك أرسل لي الرمز

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