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Impact of wind power generation on ATC calculation with uncertain equal load

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Abstract

Available transfer capability (ATC) is very important for system operators for a fair and transparent electricity market. There are many methods to calculate and to improve the ATC value in the power system. Due to green energy focus across the globe, renewable energy integration to the system to improve the ATC value need to be established. Lots of literature have been published on wind power integration to improve ATC value using active power support. During highly loaded conditions, reactive power plays an important role. In this paper, active as well as reactive power of wind turbine generation for ATC calculation has been considered. The reactive power limit has been considered based on the capability curve of the wind turbine generator. Real-time wind speed data for wind power output calculation are taken. The impact analysis of wind power generation on ATC variation under normal as well as contingency cases has been carried out. The effectiveness of the proposed method is tested on the IEEE-30 bus system.

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Abbreviations

ACPTDF:

AC power distribution factor

ATC:

Available transfer capability

CBM:

Capacity benefit margin

CSO:

Cat swarm optimization

DCPTDF:

DC power distribution factor

DFIG:

Doubly fed induction generator

DRCC:

Distributionally robust chance constrained

FACTS:

Flexible AC transmission system

HB:

Hopf bifurcation

IEA:

Indian Electricity Act

LMI:

Linear matrix inequality

MCS:

Monte Carlo simulation

MIL:

Mixed-integer linear programming problem

MLPNN:

Multilayer perceptron neural network

MO:

Market operator

MPEC:

Mathematical program with equilibrium constraints

NR:

Newton–Raphson

OPF:

Optimal power flow

pu:

Per unit

RES:

Renewable energy sources

SVC:

Static var compensators

SVR:

Support vector regression

WECS:

Wind energy conversion system

TCSC:

Thyristor-controlled series compensation

WG:

Wind generation

WPG:

Wind power generation

\(R\) :

Length of the blade

\(P_{ab}^{max}\) :

Thermal limit of the line between buses a and b

\(N_{L}\) :

Total number of lines

\(\Delta P_{ab}^{New}\) :

Change in real power flow between lines a and b

\(C_{p\_max}\) :

Maximum power coefficient

\(\Delta tr_{k}\) :

Bilateral transaction in line-k

\(U_{a}\) :

Voltage of bus a

\(\rho\) :

Air density

\({\text{x}}_{ab}\) :

Reactance of line between \({\text{ line a and line b}}\)

\(X_{ac}\) :

Entry in the ath row and cth column of the reactance matrix X

\(\Delta qu_{l}\) :

Active power change in line-l

\(\nu\) :

Speed of the wind

\(\theta_{ab}\) :

Angle between bus voltages

\(P_{t\_max}\) :

Power output of the wind turbine

\(Y_{ab}\) :

Admittance matrix

\(P_{ab}^{0}\) :

Base case power flow between buses a and b

\({\text{ATC}}_{ab}\) :

Available transfer capability in MW

\(P_{cd}^{New}\) :

Power linked with new transaction

\(P_{{{\text{ab}}}}\) :

Real power flow from line a to line b

\({\text{PTDF}}_{ab,cd}\) :

Power transfer distribution factor for DC (DCPTDF) and AC (ACPTDF)

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Correspondence to Aishvarya Narain.

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Narain, A., Srivastava, S.K. & Singh, S.N. Impact of wind power generation on ATC calculation with uncertain equal load. Electr Eng 104, 3–11 (2022). https://doi.org/10.1007/s00202-020-01159-4

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