New Line Voltage Stability Index (BVSI) for Voltage Stability Assessment in Power System: The Comparative Studies

Abstract

Modern power utilization has been forced to operate close to their stability limits, which may lead to voltage instability or collapse owing to the stressed operating conditions of networks. This raises the need to develop a new technique to predict the level of voltage security under different operating conditions to detect critical lines or buses that operate close to its stability limit. This study proposes a new line voltage stability index (BVSI) to identify weak lines and buses for various loading conditions and network configurations. Comparative studies between the existing voltage stability indices (VSIs) and the proposed index have been performed to comprehensively highlight the indices' foundation, performance, and overall behavior for several different IEEE benchmark test systems; 14-bus, 30-bus, 118-bus test systems and 33bus radial distribution system. The sensitivity towards different loading conditions due to variables such as active power, reactive power, angular difference between sending and receiving bus voltage, line resistance, and shunt admittance, which have been neglected in the formulation of VSIs, are briefly discussed. The findings of this work are aimed to provide a general guideline for other researchers in selecting the appropriate VSIs for various applications, particularly in solving optimization problems such as distributed generation (DG) and reactive power compensation (RPC) placement, optimal power flow, optimal reactive power dispatch, optimal network reconfiguration for various loading occasions, and different networks. Lastly, the application of the proposed index has been adopted as an analytical approach for solving optimal location and sizing of DG(s) problems. The results prove the effectiveness of the proposed index in accessing the voltage stability state and stress condition of lines. Besides, the proposed approach also capable of determining the potential candidate bus for single DG location and sizing effectively.

A Comprehensive Review on the Modelling and Significance of Stability Indices in Power System Instability Problems

“…The index BVSI derived in [27] depends on the power transmission approach. Considering Equation ( 14), the quadratic equation can be rearranged as follows:…”

A new line stability index for voltage stability analysis based on line loading

“…Mokred et al has proposed a VSI in which the components of the power delivered and the impedance of the system are included [5]. In another recent study, in addition to the components considered in [5], a VSI has been proposed that takes into account the phase difference between the line sending and receiving voltages [6]. In a different study, in order to increase the sensitivity of the FVSI index, which is widely accepted in the literature, it has been modified by including the active power component that has not been included in the original expression of the index [7].…”

Evaluation of a HVDC Interconnection to Improve the Voltage Stability of the Nigerian Transmission Network

“…The continuous growth of electricity consumption and the introduction of renewable energy sources, combined with the difficulty and cost of building new transmission lines, pose increasing demands on power systems worldwide. As a result, modern power systems have been compelled to operate close to their stability limits, which may result in voltage instability or collapse [1,2]. The availability of a stable and reliable electricity grid is a crucial driver of economic growth and societal change, particularly in developing economies, such as Nigeria.…”

“…Power electronics are growing in popularity due to the improved performance and reduced cost observed in the last decade. Using IEEE benchmark models (14-bus, 30-bus, and 118-bus test systems), a new line voltage stability index (BVSI) was used in [2] to identify weak lines and buses on various loading conditions and network configurations. An analytical approach was applied to determine the optimal location of reactive power compensation placement, which was used to improve system voltage stability with current and increased demand.…”