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Modeling a dual three-phase permanent magnet synchronous motor for electrical propulsion of ships
Abstract
A novel mathematic model of a dual three-phase permanent magnet synchronous motor (PMSM) was proposed to study electrical propulsion systems for ships. First the dual three-phase windings were transformed to equivalent dual two-phase windings with the same magnetomotive force and power, and then the dual two-phase windings were transformed to equivalent two-phase windings. After the above transformations, dual three-phase windings were equivalently transformed to two-phase orthogonal windings. With the mature mathematical model of the electrical machine in the two-phase rotary reference frame, the model of a dual three-phase PMSM was established. A mathematical model of 6-pole, 2.2 kW dual three-phase PMSM in the dq coordinate system was built and simulated by Matlab/Simulink. Comparing the simulation results with corresponding test results, the maximum error was less than 5%. So this double winding transformation and modeling method is valid and correct.
... At the design stage, it is important to know the natural resonant frequencies to develop effective design solutions, as well as the purpose of the operating ranges of the main engine [38]. Abnormal vibrations can cause element failures. ...
Modern ships are complex energy systems containing a large number of different elements. Each of these elements is simulated separately. Since all these models form a single system (ship), they are interdependent. The operating modes of some systems influence others, but at the same time, the work of all the systems should be aimed at fulfilling the basic functions of the ship. The work proposes a methodological approach to combining various systems of ships into a single complex model. This model allows combining models of ship systems of various levels (microlevel, macrolevel, metalevel, megalevel). The work provides examples of models of such multi-level energy systems. These are energy systems composed of an electric generator, a diesel engine, a propeller shaft, and algorithms used for operating the common parts of the ship’s electric power system and a piston wear process. Analytical, structural, numerical, and object-oriented models were made for these objects. Each of these particular models describes a limited class of problems, has characteristic properties, and a mathematical structure. The work shows how particular models can be interconnected using a set-theoretic description. Particular models are combined into macrolevel models, whose output parameters are quantities that are by no means related. The macrolevel models are interrelated using control models. Control models belong to the metalevel and allow for assigning settings and response thresholds to algorithms used in automation systems. Such a model (megalevel model) allows, ultimately, investigating the dynamics of the entire system as a whole and managing it.
Aiming at the problem that the reliability of traditional double winding permanent magnet wind generator is low when it runs on the sea, and it cannot run normally when the fault occurs, the fault tolerance characteristics of the generator are studied. Taking a 60 kW double winding permanent magnet synchronous wind generator as an example, the finite element method is used to calculate the electromagnetic parameters of the generator under rated load, single winding fault condition and fault-tolerant condition, and the variation characteristics of magnetic density, electromagnetic torque and other electromagnetic parameters under various working conditions including fault-tolerant conditions are determined. At the same time, the thermal circuit method is used to check the hot spot temperature of the generator under various working conditions to explore the fault tolerance necessity and operation reliability of the dual winding permanent magnet wind turbine. Finally, by building a prototype platform, the rationality of the solution model and the accuracy of the calculation results are verified.
The conventional marine electrical propulsion controller does not fully utilize the dynamic characteristics of the electrical propulsion system. This paper presents hybrid control algorithms which include the capabilities of speed, torque, thruster, and power, and establish the simulation device of marine electrical propulsion based on SIMOTION. Additionally, experimental study of hybrid control for propulsion motors was performed. Comparison study and analysis of propulsion motor speed, torque, and power controllers was achieved. The experimental results show that hybrid control strategies can obtain accurate and smooth speed and torque control as well as lower fluctuations and mechanical wear.
A novel mathematic model for a dual three-phase induction machine was proposed. An equivalent dual two-phase windings was built based on same magnetomotive force and power. Then the dual two-phase windings were transformed to two-phase windings. With the mathematical model of the electrical machine in the stationary reference frame, the model of a dual three-phase induction machine was determined. A 4 pole 1.1 kW dual three-phase induction machine was simulated and tested. Compared the simulation results with corresponding test results, the maximum error is lower than 2%. So this double winding transformation and modeling method are validated and correct.
In view of the double three-phase high and low voltage winding permanent magnet synchronous starter-generator (PMSSG) starting winding selection problem. First of all, the double three-phase PMSSG state space mathematical model was set up. Then, using the method of comparative analysis, taking into account the compatible system and reliability factors, demonstrates the winding start matching scheme, and gives the best start scheme. In addition, the high and low voltage winding in series on the physical implementation was analyzed, and the solution was given. Based on state space mathematical model, using Matlab/Simulink software, motor speed control system model have been established, and the simulation, verify the optimum winding matching start scheme.
Ship maneuverability requires speed control system for electric propulsion with wide speed range and fast dynamic response. Therefore, nonlinear optimal control design method of permanent magnet synchronous motor for electric propulsion is proposed based on differential geometry in this paper. The nonlinear system model is linearized into double-input and double-output linear Brunovsky form via multi-input state feedback linearization. Afterwards the linear quadratic optimal controller is designed based on the Brunovsky form. The dynamic response and the anti-jamming ability of designed control speed system are studied by simulation technique. The simulation results show that by using multi-input state feedback method based on differential geometry theory, the linear quadratic optimal control system can control permanent magnet synchronous motor with fast transient response and good load disturbance resistance response, which can satisfy the request in ship maneuverability.
Permanent magnet synchronous motor (PMSM) is a nonlinear and strong coupling system. In order to improve its dynamic performance, a speed controller method is proposed in this paper. First, the PMSM is linearzed exactly by differential geometry theory. And then the speed controller is designed by linear control theory. It is proved that the PMSM with non-salient pole model in two-phase static coordinate is global state feedback exact linearizable. The way of choosing the output functions which meet exact linearization conditions is given. The PMSM system after exact linearization was completely dynamic decoupled into two subsystems. Based on this, it is simple and easy to realize that state feedback speed controller is designed by the pole placement technique in this paper. The simulation results show that the designed system has better the dynamic performance than PID control system, and the proposed method is efficient and feasible.
This paper reviews the current state of marine electric propulsion motors, considers the benefits to be achieved by using a high phase number for excitation and considers the specific increased fault tolerance available through the use of a multiphase configuration. The multiphase work uses a generalised machine model of arbitrary phase number.
It is possible to occur serious fault of sudden symmetrical short circuit of the multi-phase permanent magnet synchronous motor (PMSM). The fault is the base of analyzing the other sudden short circuit and is an important step of research on the highest back magneto-motive potential in the running of PMSM. Mathematical models of p-pair poles N-phase sine wave PMSM in the abc static reference frame and d-q rotating reference frame are established. The maximum transient short-circuit current expression under the condition of N phases symmetrical short circuit of PMSM is deducted. Experiments show that the mathematical models established and short circuit current expressions deducted are correct.
Warship electrical power propulsion system is researched, multi-phase permanent magnet synchronous motor propulsion control system has expectant optimal dynamic performance under appointed condition, through modeling of screw propeller load application of inverse system methods of nonlinear system and optimization design of controller parameters, based on the mathematic model and nonlinear characteristics of electrical power propulsion system. The uncertainty of parameters can worsen feedback linearization effect of system, not achieving expectant optimal performance, even make system unstable. The Extent Kalman Filter is adopted to estimate system parameters, satisfied effect is acquired.
Through the analysis of magnetomotive force, the mathematical model of a multi-phase permanent magnet synchronous motor (PMSM) with dual-star windings is established under the asymmetric condition that one or more phases of the motor are open circuited, and the vector control method of the multi-phase PMSM based on rotor field-oriented is presented in the asymmetric condition. The method compensates the stator current in the fault state in order to keep the magnetomotive force as that in normal state. The simulation results show that the performance of multi-phase PMSM is improved in the asymmetric condition.
A performance analysis of three-phase and dual three-phase induction pulse width modulation (PWM) inverter fed motor drives is proposed in this paper. The focus is on the efficiency performance of dual three-phase machines compared to their three-phase counterparts. For this purpose, a dual three-phase machine, having two sets of stator three-phase windings spatially shifted by 30 electrical degrees (asymmetrical six-phase winding configuration), has been tested for both six-phase and three-phase winding configurations under the same magnetic conditions. Simulation and experimental results are presented to evaluate the efficiency performance of three-phase and dual-three induction motor drives employing PWM voltage-source inverters (VSI)