in this paper, a useful classification of all lie subalgebras of a given lie algebraup to an inner automorphism is presented. this method can be regarded as animportant connection between differential geometry and algebra and has many applications in different fields of mathematics. after main results, we have applied this procedure for classifying the lie subalgebras of some examples of lie al...

increasing of word demand load caused a new distributed generation (dg) to enter to powersystem. one of the most renewable energy is the photovoltaic system. it is beneficial to use thissystem in both separately as well as connected to power system using power electronics interface.in this paper an optimal pid controller for photovoltaic system systems has been developed. theoptimization techni...

in this paper, we present a capable algorithm for solving a class of nonlinear optimal control problems (ocp's). the approach rest mainly on the differential transform method (dtm) which is one of the approximate methods. the dtm is a powerful and efficient technique for finding solutions of nonlinear equations without the need of a linearization process. utilizing this approach, the optim...

the power supply of remote sites and applications at minimal cost and with low emissions is an important issue when discussing future energy concepts. this paper presents modeling and optimization of a photovoltaic (pv)/wind/diesel system with batteries storage for electrification to an off-grid remote area located in rafsanjan, iran. for this location, different hybrid systems are studied and ...

optimal capacitor placement, considering power system loss reduction, voltage profile improvement, line reactive power decrease and power factor correction, is of particular importance in power system planning and control. the distribution system operator calculates the optimal place, number and capacity of capacitors based on two major purposes: active power loss reduction and return on invest...