scholarly journals MODELING OF Q-H CHARACTERISTICS OF THE ELECTRIC DRIVE WITH A VORTEX ELECTRICAL PUMP

2015 ◽  
pp. 133-137
Author(s):  
A. M. Sagdatullin
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
General Expression ◽  
Flow Rate ◽  
Electric Drive ◽  
Control Limit ◽  
Electric Pump ◽  
Vortex Pump ◽  
Working Section ◽  
Range Of Values

In this paper we consider the possibility of modeling the performance characteristics of the electric drive with a vortex electric pump. The structure of the vortex electric pump studied for the experiment is considered, as well as its Q-H characteristic. To determine the optimal control limit of square-law characteristic of H = f (Q) we offer an ade-quate mathematical model of working Q-H characteristics of the electric vortex pump Pk 200. It is concluded that for studying and searching for optimal performances of the vortex pump Pk 200 the model of square-law characteristic H = f (Q) in accordance with the general expression for the working section can be applied within a certain range of values, i.e. the flow rate from Q1 (1,5) to Q2 (3,5) and the pressure from H1 (67) to H2 (30).

Stability Analysis and Optimization of By-Pass Controlled Heat Exchanger With Boiling

1976 ◽  
Vol 98 (2) ◽  
pp. 161-166 ◽  
Author(s):  
J. S. Ansari
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Stability Analysis ◽  
Heat Exchanger ◽  
Flow Rate ◽  
Distributed Parameter ◽  
Final Temperature ◽  
Razumikhin Theorem ◽  
Sustained Oscillations ◽  
Intermediate Variables

A heat exchanger with boiling is considered. The final temperature of steam is controlled with the help of a controller which regulates the flow rate of by-pass water mixing with the outcoming steam. The simplest known mathematical model retaining the nonlinear and distributed parameter nature of the process is adopted. A known method of analysis, namely, Liapunov-Razumikhin theorem, is used to derive results on stability. An interesting feature of the system is that a positive feedback is required for stability. If the control is designed on the basis of minimization of the error in the final temperature alone, then the optimal control, requiring a negative feeedback, leads to sustained oscillations in the intermediate variables, even when the output is steady. The analysis, therefore suggests that meaningful optimization must take into account fluctuations in intermediate variables in addition to the error. A derivative control is shown to improve the transient response.

scholarly journals Regulation of the temperature of an individual heat point by changing the speed of the asynchronous motor

2021 ◽  
Vol 23 (4) ◽  
pp. 156-165
Author(s):  
T. V. Sinyukova ◽  
A. V. Sinyukov
Keyword(s):  
Mathematical Model ◽  
Electric Drive ◽  
Optimal Algorithm ◽  
Frequency Converter ◽  
Asynchronous Motor ◽  
Control Valve ◽  
Electric Pump ◽  
First Case ◽  
Energy Consuming ◽  
Heat Point

THE PURPOSE. To develop and investigate a mathematical model of an operating object – an individual heat point with two methods of controlling the temperature of the coolant. In the first case, the control of the temperature of the coolant is considered, with the help of a control valve installed on a real object. In the second case, a more reliable and less energy-consuming solution is proposed – replacing the control valve with a frequency- controlled electric drive operating according to the proposed optimal algorithm. METHODS. When solving this problem, the method of computer simulation modeling, implemented by means of Matlab Simulink, was used.RESULTS. The article deals with the problems that arise during the operation of an individual heating point. Possible solutions to the problem associated with the failure of the control valve are given. A solution for regulating the temperature of the coolant is proposed, based on the use of a frequency-controlled electric drive of the electric pump. To implement the proposed solution, no redevelopment of the premises is required, only the installation of a frequency converter on the pump already available in the device of an individual heat station is necessary. CONCLUSION. The conducted research has a practical focus, since the proposed solution is implemented at the existing facility. The use of a frequency-controlled electric drive of a centrifugal pump made it possible to increase the reliability of the existing facility. The results obtained during the simulation allow us to draw a conclusion about the feasibility of using the proposed solution.

Optimal Control of the Rotor System Motion

2013 ◽  
Vol 705 ◽  
pp. 546-552
Author(s):  
Imankul Toleukhan
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Electric Drive ◽  
Rotor System ◽  
Flexible Shaft ◽  
Experimental Works ◽  
Set Up ◽  
Automatic Balancing ◽  
The Mathematical Model

Among the problems of the rotor machines dynamics the special attention is given to the problems of creation of the automatic balancing devices (ABD) in form of a hollow rotor, filled by a liquid, and the liquid-solidbody ABD. The theoretical and experimental works on research of the ABD on the base of a hollow rotor filled partially with a liquid and of the liquid-solidbody ABD are not enough. Therefore development of the methods of research of dynamics of the rotor machines with the ABD and such machines designs is an actual, new and perspective problem. In the present work the mathematical model of the rotor system with the ABD taking into account of the engine characteristics is offered. Lets consider the model of the rotor with electric drive with one disk, set up at the flexible shaft without skew. The shaft is lean on two bearings (fig. 1).

Optimal control strategy for cancer remission using combinatorial therapy: A mathematical model-based approach

2021 ◽  
Vol 145 ◽  
pp. 110789
Author(s):  
Parthasakha Das ◽  
Samhita Das ◽  
Pritha Das ◽  
Fathalla A. Rihan ◽  
Muhammet Uzuntarla ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Control Strategy ◽  
Optimal Control Strategy ◽  
Combinatorial Therapy ◽  
Model Based ◽  
Cancer Remission

Research on an axial-mounted dual magnetostrictive material rods-based electro-hydrostatic actuator

2021 ◽  
pp. 1045389X2110145
Author(s):  
Yuchuan Zhu ◽  
Chang Liu ◽  
Yunze Song ◽  
Long Chen ◽  
Yulei Jiang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Flow Rate ◽  
Flow Distribution ◽  
Maximum Flow ◽  
Magnetostrictive Material ◽  
Simulation Techniques ◽  
Motion State ◽  
New Type ◽  
Output Characteristics ◽  
Active Rectification

In this paper, an electro-hydrostatic actuator driven by dual axial-mounted magnetostrictive material rods-based pumps (MMPs) with a new type of active rectification valve is designed in the current study. Based on flow distribution of the active rectification valve and driving energy provided by two MMPs, the actuator can output continuous and bidirectional displacement. By establishing a mathematical model of the actuating system, using simulation techniques, the change rule of hydraulic cylinder’s motion state caused by different driving signals are studied and analyzed. Test equipment platform is constructed in the laboratory to test the output characteristics and confirm the feasibility of the new concept. The experimental results indicate that the maximum flow rate can reach approximately 2.7 L·min−1, while the operating frequency is 180 Hz.

scholarly journals On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
N. H. Sweilam ◽  
S. M. Al-Mekhlafi ◽  
A. O. Albalawi ◽  
D. Baleanu
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Weighted Average ◽  
Necessary Optimality Conditions ◽  
Numerical Approach ◽  
Population Number ◽  
Infected People ◽  
The Stability ◽  
Novel Coronavirus ◽  
Theoretical Results

Abstract In this paper, a novel coronavirus (2019-nCov) mathematical model with modified parameters is presented. This model consists of six nonlinear fractional order differential equations. Optimal control of the suggested model is the main objective of this work. Two control variables are presented in this model to minimize the population number of infected and asymptotically infected people. Necessary optimality conditions are derived. The Grünwald–Letnikov nonstandard weighted average finite difference method is constructed for simulating the proposed optimal control system. The stability of the proposed method is proved. In order to validate the theoretical results, numerical simulations and comparative studies are given.

scholarly journals Optimal Control of the Positional Electric Drive and Its Implementation

Machines ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 70
Author(s):  
Vladimir Dotsenko ◽  
Roman Prokudin ◽  
Alexander Litvinenko
Keyword(s):  
Optimal Control ◽  
Wind Turbine ◽  
Electric Drive ◽  
Minimum Energy ◽  
Air Gap ◽  
Synchronous Generators ◽  
Capacitor Discharge ◽  
Wind Speeds ◽  
Minimum Energy Consumption ◽  
Low Wind Speeds

The article deals with the optimal control of the positional electric drive of the stator element of a segment-type wind turbine. The calculation options charts current in the assumption of the minimum energy consumption and the implementation of line chart current using the phenomenon of capacitor discharge. The analysis of the implementation is expressed in a jump-like change in current and a triangular graph of the speed change. This article deals with small capacity synchronous wind turbine generators with a segment type stator. These units have the possibility of intentionally changing the air gap between the rotor and stator. This allows: (1) Reduce the starting torque on the rotor shaft, which will allow the rotor to pick up at low wind speeds. (2) Equivalent to change of air gap in this case is change of excitation of synchronous generators. Thus, the purpose of the article is to consider a method of excitation of generators in a segmented design, by controlling the gap with the electric drive, while providing control should be carried out with minimal losses.

scholarly journals A Mathematical Model for Swallowing of Concentrated Fluids in Oesophagus

2011 ◽  
Vol 8 (3-4) ◽  
pp. 309-321 ◽  
Author(s):  
S. K. Pandey ◽  
Dharmendra Tripathi
Keyword(s):  
Mathematical Model ◽  
Flow Rate ◽  
Plug Flow ◽  
Flow Region ◽  
Mechanical Efficiency ◽  
Casson Fluid ◽  
Local Pressure ◽  
Integral Number ◽  
Tomato Puree ◽  
The Impact

This model investigates particularly the impact of an integral and a non-integral number of waves on the swallowing of food stuff such as jelly, tomato puree, soup, concentrated fruits juices and honey transported peristaltically through the oesophagus. The fluid is considered as a Casson fluid. Emphasis is on the study of the dependence of local pressure distribution on space and time. Mechanical efficiency, reflux limit and trapping are also discussed. The effect of Casson fluid vis-à-vis Newtonian fluid is investigated analytically and numerically too. The result is physically interpreted as that the oesophagus makes more efforts to swallow fluids with higher concentration. It is observed that the pressure is uniformly distributed when an integral number of waves is there in the oesophagus; but it is non-uniform when a non-integral number of waves is present therein. It is further observed that as the plug flow region widens, the pressure difference increases, which indicates that the averaged flow rate will reduce for a Casson fluid. It is also concluded that Casson fluids are more prone to reflux.

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