However, most researchers have formulated integrated systems as a linear programming problem using linearized electric power/gas flow models to guarantee a global optimum solution.
The objective of this work is the development and application of a linearized MILP (mixed integer linear programming) formulation of a natural gas distribution network while covering all the technical and operational aspects such as the mass flows, pressures, compressor duties or changes of the mass flow directions.
Linearization procedures are used to transform the presented non-linear programming model into a linearized formulation.
Then, while the NLP optimization reveals local optima, the NLP model is converted into a linear programming (LP) model using linearized AC power flow equations.
The model can be converted to a mixed-integer linear programming problem, realizing the optimization of planning model that considers the constraints of linearized short circuit currents and N-1 security.
Linearization procedures are proposed to convert it into a linearized mixed integer programming formulation.
By applying the dynamical programming principle to the controlled linearized system, a dynamical programming equation is established and in particular, for a non-filtering white noise excitation, is solved as an optimal regulation problem to determine the quasi-linear quadratic optimal control law and furthermore semi-active optimal control law according to the variational principle.
To derive a relative dating of diversification events in the "ossified group" of lamprologines, we computed a linearized tree, using the program LINTRE [ 49].
However, we have recently noticed that nucleofection of 2 μg AhdI-linearized plasmid DNA and program T-024 using solution T (Amaxa) gave better transfection efficiencies than conventional electroporation (data not shown).
A new text-based interface for WIEN2k, the full-potential linearized augmented plane-waves (FPLAPW) program, is presented.
