Global Transient Stability-Constrained Optimal Power Flow Using an OMIB Reference Trajectory

Pizano-Martianez, A.; Fuerte‐Esquivel, Claudio R.; Ruiz-Vega, D.

doi:10.1109/tpwrs.2009.2036494

Cited by 100 publications

(107 citation statements)

References 21 publications

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“…While the voltage and thermal constraints are well modeled via algebraic equations or inequalities, it is still an open question as to how to include the stability constraint into OPF formulation since stability is a dynamic concept and differential equations are involved [6].…”

Section: B Stability-constrained Opfmentioning

confidence: 99%

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Inverse Stability Problem and Applications to Renewables Integration

Nguyen

Megretski

et al. 2018

IEEE Control Syst. Lett.

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Abstract-In modern power systems, the operating point, at which the demand and supply are balanced, may take different values due to changes in loads and renewable generation levels. Understanding the dynamics of stressed power systems with a range of operating points would be essential to assuring their reliable operation, and possibly allow higher integration of renewable resources. This letter introduces a non-traditional way to think about the stability assessment problem of power systems. Instead of estimating the set of initial states leading to a given operating condition, we characterize the set of operating conditions that a power grid converges to from a given initial state under changes in power injections and lines. We term this problem as "inverse stability", a problem which is rarely addressed in the control and systems literature, and hence, poorly understood. Exploiting quadratic approximations of the system's energy function, we introduce an estimate of the inverse stability region. Also, we briefly describe three important applications of the inverse stability notion: (i) robust stability assessment of power systems w.r.t. different renewable generation levels, (ii) stability-constrained optimal power flow (sOPF), and (iii) stability-guaranteed corrective action design.

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Section: B Stability-constrained Opfmentioning

confidence: 99%

“…Mathematically, a standard OPF problem is usually stated as follows (refer to [6] for more detailed formulation):…”

Section: B Stability-constrained Opfmentioning

confidence: 99%

Inverse Stability Problem and Applications to Renewables Integration

Nguyen

Megretski

et al. 2018

IEEE Control Syst. Lett.

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“…This approach makes it possible to increase the detail and complexity of the dynamic model, but poses the problem of dealing with unstable cases that may result in numerical failure of the time-domain simulator. Other studies make use of direct methods to reduce the size and complexity of the optimisation model [11][12][13][14][15][16], relying on reduced dynamic models such as the single-machine equivalent. These works apply several iterations to refine the heuristic constraints, are usually applied to single fault studies with few exceptions [17] and can be used on power systems of virtually any size, but rely on a simplified model and can be ill-suited for complex patterns of oscillations [1].…”

Section: Introductionmentioning

confidence: 99%

Multi‐contingency TSCOPF based on full‐system simulation

Ledesma

Calle²,

Castronuovo

et al. 2017

IET Generation, Transmission & Distribution

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Transient stability constrained optimal power flow (TSCOPF) is a non-linear optimisation problem used to perform economic dispatches while ensuring TS. This study proposes a multi-contingency TSCOPF model that retains the dynamics of all generators and includes a transient synchronous generator fourth-order dq-axis model. A program is developed that automatically reads the system data from standard files, builds the multiple-contingency TSCOPF model on a high-level modelling system and solves it using a non-heuristic interior point algorithm. This approach facilitates the application of the model to a variety of systems and scenarios. A TSC based on the speed deviation instead of the rotor angle is proposed. Results obtained on several standard systems are shown. The proposed method is applied to the northwest Spanish transmission system to obtain an optimised dispatch that ensures TS after any of a number of faults, and to assess the economic impact of fault-clearing times at different substations. Nomenclature

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“…In particular, Li et al [17] elucidated that the angular deviation of each generator with respect to the center of inertia (COI) can be used to overcome the difficulties in identifying the critical and non-critical machines. The same concept has also been implemented and discussed in [18][19][20]. In Equation (1), the ∆δ n (t) > 0 o signifies that an Sustainability 2017, 9, 941 3 of 17 accelerating power occurred in the critical machines.…”

mentioning

confidence: 99%

“…Use Equation (20) to calculate the conditional probability of tripping (P Tj ) during branch event tree, j.…”

mentioning

confidence: 99%

Sustainability from the Occurrence of Critical Dynamic Power System Blackout Determined by Using the Stochastic Event Tree Technique

2017

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Abstract:With the advent of advanced technology in smart grid, the implementation of renewable energy in a stressed and complicated power system operation, aggravated by a competitive electricity market and critical system contingencies, this will inflict higher probabilities of the occurrence of a severe dynamic power system blackout. This paper presents the proposed stochastic event tree technique used to assess the sustainability against the occurrence of dynamic power system blackout emanating from implication of critical system contingencies such as the rapid increase in total loading condition and sensitive initial transmission line tripping. An extensive analysis of dynamic power system blackout has been carried out in a case study of the following power systems: IEEE RTS-79 and IEEE RTS-96. The findings have shown that the total loading conditions and sensitive transmission lines need to be given full attention by the utility to prevent the occurrence of dynamic power system blackout.

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Global Transient Stability-Constrained Optimal Power Flow Using an OMIB Reference Trajectory

Cited by 100 publications

References 21 publications

Inverse Stability Problem and Applications to Renewables Integration

Inverse Stability Problem and Applications to Renewables Integration

Multi‐contingency TSCOPF based on full‐system simulation

Sustainability from the Occurrence of Critical Dynamic Power System Blackout Determined by Using the Stochastic Event Tree Technique

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