Local-optimal control in an electromechanical system with a contactless DC motor

The paper analyses the possibility of local-optimal control in an electromechanical system based on a contactless DC motor, which allows the required voltage pulse parameters to be determined, not only in the regulated signal sector, but also in the next sector during the switching of the basic vectors of the control process. The output coordinate (system state) is controlled by the switching of the reference vectors and the pulsation of each time pulse. The base vector pulsation control processes (pulse width modulation) are similar for each vector, only these vectors can be shifted in space by a certain angle. The angle at which these vectors are shifted is inversely proportional to the product of the number of pole and phase pairs. The pulsation processes become periodic, with the base vector and zero vector alternating. Depending on rotor speed and pulsation period, number of pulsations of one basic vector (without switching it in space) can reach several dozens. If we assume that processes occurring at switching of base vectors only are identical in all parameters except for location in space, we can move origin of coordinates to new point of space (location of base vector) and get periodical processes for creation of electromagnetic momentum during calculation. To synthesize an electromechanical control system with a contactless DC engine, you can use the predictive control method - Model predictive control (MPC). The purpose of this study is to assess the feasibility of locally optimal control every time the base vectors are switched, taking into account the features of building a DC contactless engine. It is aimed at forming the controlled parameters of one base vector in combination with a zero vector, which is defined by both spatial and initial conditions of the original base vector. It is shown that the state of the system will also depend on the rate of dispersal in the zero vector of accumulated electromagnetic energy during the existence of the base vector.

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