VSC-OPF based on line voltage indices for power system losses minimization and voltage stability improvement

Zabaiou, Tarik; Dessaint, L.-A.

doi:10.1109/pesmg.2013.6672243

Cited by 7 publications

(6 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The primal-dual interior point method was used to solve the model, which improves the voltage stability of the system. In [19], the voltage collapse proximity index (VCPI) was used as a constraint for the voltage stability. This method can not only improve voltage stability but also reduce power loss.…”

Section: Literature Reviewmentioning

confidence: 99%

Correction Control Model of L-Index Based on VSC-OPF and BLS Method

Yang,

Long,

Yang

et al. 2024

Sustainability

View full text Add to dashboard Cite

With the advancement of artificial intelligence (AI) technology, the real-time measurement and control technology of power systems has also progressed. This paper proposes a correction control model for L-indexes based on voltage stability constrained optimal power flow (VSC-OPF) and a broad learning system (BLS) (BLS-VSC-OPF). This model aims to quickly assess the system’s voltage stability and accurately correct the operation mode when the voltage stability indexes are out of the security range. Firstly, the BLS is used to predict the L-index and to analyze the voltage stability of the power system. Secondly, the approximate first-order sensitivity of the L-index is calculated by the combination of the BLS and the perturbation method. This method solves the problem of the complex sensitivity derivation process in the modeling process of the VSC-OPF model. Meanwhile, when the L-index exceeds the threshold, the BLS and VSC-OPF models are combined to correct this operation mode. The feasibility of the proposed method is verified by the simulation of IEEE-30, IEEE-118, and 1047 bus systems. Finally, the BLS-VSC-OPF model is compared with the linear programming correction model based on BLS (BLS-LPC). The results show that the BLS-VSC-OPF model provides a better correction and control performance.

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Correction Control Model of L-Index Based on VSC-OPF and BLS Method

Yang,

Long,

Yang

et al. 2024

Sustainability

View full text Add to dashboard Cite

show abstract

“…The literature shows that voltage security is considered in OPF formulation in two ways. First, the voltage collapse proximity indicator (VCPI) was employed as a constraint in the OPF problem [114][115][116][117][118]. The second approach was to incorporate VCPI as the objective function, where the objective was maximizing the minimum singular value of the Jacobian matrix, as in [119,120].…”

Section: Voltage Stability Constrained Optimal Power Flowmentioning

confidence: 99%

Line-Wise Power Balance Equations and Applications

Mohamed¹

2021

Preprint

View full text Add to dashboard Cite

Optimal power flow (OPF) refers to optimize power systems considering a chosen objective subject to a set of constraints. Existing OPF formulations used to settle electricity markets include a set of bus-wise power balance equations (PBE) that is comprised exclusively of high order terms which have sinusoidal components. Accordingly, such OPF formulations remain nonlinear and nonconvex optimization problems. Even though commercial OPF solvers are robust and efficient, they still cannot guarantee a global optimum. The US Federal Energy Regulatory Commission estimates that the best commercial OPF solvers are off by 10%, amounting to an annual loss of US $400 billion worldwide. For these motivating reasons, OPF remains a major research focus and forms the topic of this thesis. This thesis aims to: (1) develop new sets of PBE with lower order terms and lesser numbers of sinusoidal terms yielding better solution space, (2) build new OPF formulations using this new set of PBE, and (3) incorporate voltage stability constraints into the developed OPF formulations. The genesis of the new set of PBE stems from: (1) the fact that power of a constant impedance load is proportional to the square of voltage magnitude, and, (2) power flow in branches can be expressed in terms of square of voltage magnitude. Accordingly, a set of line-wise PBE is developed, both in polar and rectangular forms and are solved Newton-Raphson technique. Tests show that the proposed line-wise power flow (LWPF) algorithms are accurate, provide monotonic convergence, and scale well for large systems. The algorithms are faster comparing to classical bus-wise power flow methods. Further, the ability to directly identify the set of critical lines that are the most susceptible to Voltage collapse. A novel line-wise optimal power flow (LWOPF) formulation is developed based on polar LWPF and solved using successive linear programming technique. Tests show that LWOPF consistently yields a better solution than that computed using bus-wise OPF, namely in half the time. LWOPF is extended to include voltage stability constraints and implemented using both linear and nonlinear optimization techniques. It demonstrates improved performance in achieving lower cost optimal solutions with better voltage-stable states.

show abstract

“…In Table 1, a circle means that the perspective is ensured by the method, a triangle means that it is considered by the method but requires additional processes to be ensured, and a bar means that it is not considered by the method. The static VSI-based method uses static VSIs such as VCPI [19][20][21][22][23], MSV [20,[24][25][26] and L-index [20,[27][28][29][30][31] as an objective function or constraint of the OPF problem. Although these VSIs approximately indicate the proximity of the system to the voltage collapse point, there is no established way to determine the appropriate threshold value corresponding to the required VSM.…”

Section: Related Workmentioning

confidence: 99%

“…The static VSI‐based method uses static VSIs such as VCPI [19–23], MSV [20, 24–26] and L‐index [20, 27–31] as an objective function or constraint of the OPF problem. Although these VSIs approximately indicate the proximity of the system to the voltage collapse point, there is no established way to determine the appropriate threshold value corresponding to the required VSM.…”

Section: Introductionmentioning

confidence: 99%

Modified tangent vector‐based voltage stability constrained optimal power flow considering limit‐induced bifurcation

Omi

Shirai

2020

IET Generation, Transmission & Distribution

View full text Add to dashboard Cite

A modified tangent vector (TV)-based voltage stability constrained optimal power flow method is proposed. The proposed method determines an optimal stable equilibrium point (SEP) satisfying the required voltage stability margin (VSM) considering limit-induced bifurcation (LIB). LIB, which occurs when a generator reaches a reactive power limit during load increasing, may cause an optimistic overestimation of voltage stability and inadequate operation. The key of the proposed method is to use approximated TV for considering LIB as a voltage stability constraint to ensure that the solution becomes an SEP and to avoid inappropriate operation caused by LIB. The validity of the approximation is evaluated analytically and numerically in this study. The threshold for the approximated TV is updated based on the continuation power flow calculation result to satisfy the required VSM. The proposed method was implemented on MATPOWER, and evaluated with a 2-machine 4bus system and an IEEJ standard WEST10-O/V system. The results show that the proposed method can determine the optimal SEP satisfying the required VSM even if LIB occurs.

show abstract

VSC-OPF based on line voltage indices for power system losses minimization and voltage stability improvement

Cited by 7 publications

References 24 publications

Correction Control Model of L-Index Based on VSC-OPF and BLS Method

Correction Control Model of L-Index Based on VSC-OPF and BLS Method

Line-Wise Power Balance Equations and Applications

Modified tangent vector‐based voltage stability constrained optimal power flow considering limit‐induced bifurcation

Contact Info

Product

Resources

About