Abstract
To deal with the high dimensionality and computational density of the Optimal Power Flow model with Transient Stability Constraints (OTS), a credible criterion to determine transient stability is proposed based on swing curves of generator rotor and the characteristics of transient stability. With this method, the swing curves of all generator rotors will be independent one another. Therefore, when a parallel computing approach based on the MATLAB parallel toolbox is used to handle multi-contingency cases, the calculation speed is improved significantly. Finally, numerical simulations on three test systems including the NE-39 system, the IEEE 300-bus system, and 703-bus systems, show the effectiveness of the proposed method in reducing the computing time of OTS calculation.
Highlights
With the development of smart grid, the operation of power system is close to its stability limit state frequently
OTS has become a challenge from the model description to the design of algorithms [5, 6], due to the transient stability constraints of ordinary differential equations
In [7], the ordinary differential equations are differentiated into algebraic equations, while the transient stability constraints are discretized into inequality constraints
Summary
With the development of smart grid, the operation of power system is close to its stability limit state frequently. Optimal Power Flow with Transient Stability Constraints (OTS) can integrate the economic and dynamic security of the system into the same framework, which has become an effective tool to get the safety of the system. OTS has become a challenge from the model description to the design of algorithms [5, 6], due to the transient stability constraints of ordinary differential equations. The OTS problem is solved by the conventional optimization method, but the number of variables and equations are increased significantly, resulting in long computation time and difficult convergence. The dynamic sensitivity equation which describes the dynamics of power systems is a set of differential algebraic equations (DAE) with the same size and can only be solved by numerical integral methods with massive calculation. By using MATLAB parallel computing toolbox, the OTS problem is solved within reasonable computing resources with the computing speed reaching to the practical or even online level [15, 16] compared with the existing methods proposed in [17–19]
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