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Optimal Load Shedding of Power System Including Optimal TCSC Allocation Using Moth Swarm Algorithm

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Abstract

Voltage collapse, blackout and voltage instability are considered main problems faced by the power systems which are due to the lack of reactive power in the system. One of the most important sources for injecting reactive power to the system is the flexible AC transmission systems (FACTS) devices. Thyristor-controlled series capacitor (TCSC) is one of the modern FACTS devices that can be used for reducing the overloading in line flow, allowing power system to operate in secure state and improving power system stability. In this paper, optimal steady-state load shedding and TCSC allocation in power system problems are comprehensively solved using a new robust and effective technique, called moth swarm algorithm. This algorithm is based on the moth’s orientation toward moonlight considering a new adaptive crossover and Lévy flight mutation. Optimal load shedding and TCSC allocation are achieved simultaneously to remove or mitigate congestion and emergency situations. To prove the capability of the proposed algorithm for minimizing the amount of load shedding and active power loss, improving voltage profile and voltage stability, standard IEEE 30-bus test system is used under normal and contingency operations at different single- and multiobjective functions. The results obtained by the proposed algorithm are compared with those obtained by other well-known optimization techniques: TLBO, PSO, GWO, WOA, MFO. These results demonstrate the effectiveness and robustness of the proposed algorithm.

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Abbreviations

BBO:

Biogeography optimization

FACTS:

Flexible alternating current transmission systems

GWO:

Grey wolf optimizer

GA–DOE:

Genetic algorithm–design of experiment techniques

HICA–PS:

Hybrid imperialist competitive algorithm–pattern search

\( L_{\text{max} } \) :

Maximum value of L-index

IHSA:

Improved harmony search algorithm

MSA:

Moth swarm algorithm

MFO:

Moth flame optimization

N :

Number of buses

NB:

Number of load buses

NSPSO:

Non-dominate particle swarm optimization

NTL:

Number of transmission lines

OPF:

Optimal power flow

\( P_{di} \), \( Q_{di} \) :

Active and reactive power of load at bus i before load shedding

\( \overline{{P_{di} }} \), \( \overline{{Q_{di} }} \) :

Active and reactive power of load at bus i after load shedding

\( P_{Gi} , Q_{Gi} \) :

Active and reactive power generated at bus i, respectively

PSO:

Particle swarm optimizer

SVC:

Static VAR compensator

SFLA:

Shuffled frog leaping algorithm

TCSC:

Thyristor-controlled series capacitor

TLBO:

Teaching–learning-based optimization

\( V_{i}^{\text{min} } ,V_{i}^{\text{max} } \) :

Minimum and maximum of PV buses

\( V_{\text{G}} ,I_{\text{G}} \) :

Voltages and currents of PV buses

\( V_{\text{L}} , I_{\text{L}} \) :

Voltages and currents of PQ buses

WIPSO:

Weight-improved PSO

WOA:

Whale optimization algorithm

\( X_{\text{TCSC}} \) :

Reactance of TCSC

\( X_{\text{total}} \) :

Transmission line reactance added to TCSC reactance

\( X_{\text{line}} \) :

Transmission line reactance

\( X_{\text{C}} \) :

Capacitive reactance for TCSC

\( X_{\text{L}} \) :

Inductive reactance for TCSC

\( Z_{ij} \) :

The transmission line impedance from bus i to bus j

\( \alpha \) :

Firing angle

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Acknowledgements

The authors gratefully acknowledge the contribution of the NSFC (China)-ASRT (Egypt) Joint Research Fund, Project No. 51861145406 for providing partial research funding to the work reported in this research.

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Authors and Affiliations

  1. Department of Electrical Engineering, Faculty of Engineering, Aswan University, Aswân, 81542, Egypt

    Fatma Sayed & Salah Kamel

  2. State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, Chongqing, China

    Salah Kamel & Juan Yu

  3. Department of Electrical Engineering, University of Jaen, 23700, Linares, Spain

    Francisco Jurado

Authors
  1. Fatma Sayed
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  2. Salah Kamel
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  3. Juan Yu
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  4. Francisco Jurado
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Correspondence to Francisco Jurado.

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Sayed, F., Kamel, S., Yu, J. et al. Optimal Load Shedding of Power System Including Optimal TCSC Allocation Using Moth Swarm Algorithm. Iran J Sci Technol Trans Electr Eng 44, 741–765 (2020). https://doi.org/10.1007/s40998-019-00255-x

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  • DOI: https://doi.org/10.1007/s40998-019-00255-x

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