Powerflow-Methods

Introduction

There are MATLAB codes for 3 different methods for solving powerflows in this repository:

1. Gauss Seidel Powerflow Solution -> Fast convergence but not too accurate

2. Newton Raphson Powerflow Solution -> Slow convergence but very accurate

3. Fast Decoupled Powerflow Solution -> Good convergence and good accuracy

To know more about these solutions, you can check out this wikipedia page: https://en.wikipedia.org/wiki/Power-flow_study

The code for all three methods was used to solve the following powerflow problem: http://www.mty.itesm.mx/etie/deptos/ie/profesores/jabaez/clases/e00888/flujos_potencia/ejemplo_flujos_uwaterloo.pdf

Initialization

- Ybus

Enter the Y bus matrix.

- Known_V

A vector with length: #Number of busses. If the voltage magnitutde of the k'th bus is known, insert Known_V[k]=1, else insert Known_V[k]=0.

- Known_A

A vector with length: #Number of busses. If the voltage phase of the k'th bus is known, insert Known_A[k]=1, else insert Known_A[k]=0.

- Known_P

A vector with length: #Number of busses. If the real/active power of the k'th bus is known,insert Known_P[k]=1, else insert Known_P[k]=0.

- Known_Q

A vector with length: #Number of busses. If the reactive power of the k'th bus is known, insert Known_Q[k]=1, else insert Known_Q[k]=0.

- V

A vector with length: #Number of busses. If the voltage magnitude of the k'th bus is known and equal to Vk, insert V[k]=Vk, else insert V[k]=initial guess.

- A

A vector with length: #Number of busses. If the voltage phase of the k'th bus is known and equal to Ak, insert A[k]=Ak, else insert A[k]=initial guess.

- P

A vector with length: #Number of busses. If the real/active power of the k'th bus is known and equal to Pk, insert P[k]=Pk, else insert P[k]=initial guess.

- Q

A vector with length: #Number of busses. If the reactive power of the k'th bus is known and equal to Qk, insert Q[k]=Qk, else insert Q[k]=initial guess.

- epsilon

Convergence epsilon. Determines the algorithm's stopping condition: If the norm of the mismatch equations is below epsilon, our algorithm has found an accurate enough solution and it will stop.