Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  propose a continuum model for real por systems that tend to be highly irregular in terms of their geographical topology and the por injections, loads, and shunt elements at the bus locations. The continuum model presented here therefore relaxes the isotropy and homogeneity constraints assumed in our prior work. The network, with its transmission lines, generators, and loads, are treated as a continuum in spatial coordinates.  are consequently able to model the system as a pair of nonlinear partial differential equations (PDEs). The first PDE is the continuum equivalent of the load flow equations of the por system and is a boundary value problem. The second equation is the continuum equivalent of the swing equations of the por system. The parameters of these equations are functions of spatial coordinates and the network topology is embedded in them. The computational effort needed to solve the PDEs depends on the uniformity in the parameter distributions. A systematic approach of smoothening the parameter distributions is also proposed. While a continuum system with these smooth parameter distributions looses some of its ability to accurately model the detailed behavior of the por system, the global behavior of the system remains preserved. Furthermore, the electromechanical wave propagation behavior observed in actual por systems is readily recognized from the PDE model. A theoretical analysis of the continuum model as ll as test simulations show that disturbances in the system's phase angles propagate through the continuum system with velocities much slor than the speed of light and exhibit dispersion phenomena.
['Manu Parashar', 'James S. Thorp', 'C. E. Seyler']
I am writing a research paper on a idea Continuum modeling of electromechanical dynamics in large-scale power systems
[{"from": "human", "value": "I am writing a research paper on a idea Continuum modeling of electromechanical dynamics in large-scale power systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  propose a continuum model for real por systems that tend to be highly irregular in terms of their geographical topology and the por injections, loads, and shunt elements at the bus locations. The continuum model presented here therefore relaxes the isotropy and homogeneity constraints assumed in our prior work. The network, with its transmission lines, generators, and loads, are treated as a continuum in spatial coordinates.  are consequently able to model the system as a pair of nonlinear partial differential equations (PDEs). The first PDE is the continuum equivalent of the load flow equations of the por system and is a boundary value problem. The second equation is the continuum equivalent of the swing equations of the por system. The parameters of these equations are functions of spatial coordinates and the network topology is embedded in them. The computational effort needed to solve the PDEs depends on the uniformity in the parameter distributions. A systematic approach of smoothening the parameter distributions is also proposed. While a continuum system with these smooth parameter distributions looses some of its ability to accurately model the detailed behavior of the por system, the global behavior of the system remains preserved. Furthermore, the electromechanical wave propagation behavior observed in actual por systems is readily recognized from the PDE model. A theoretical analysis of the continuum model as ll as test simulations show that disturbances in the system's phase angles propagate through the continuum system with velocities much slor than the speed of light and exhibit dispersion phenomena."}]