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2021-02-06 00:51
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2021年2月6日发(作者:像模像样)


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英文原文



Realization of Neural Network Inverse System with PLC in Variable


Frequency Speed-Regulating System



Abstract. The variable frequency speed-regulating system which


consists


of


an


induction


motor


and


a


general


inverter,


and


controlled


by


PLC


is


widely


used


in


industrial


field.


.However,


for


the


multivariable,


nonlinear and strongly coupled induction motor, the control performance


is


not


good


enough


to


meet


the


needs


of


speed-regulating.


The mathematic


model


of


the


variable


frequency


speed-regulating


system


in


vector


control


mode


is


presented


and


its


reversibility


has


been


proved.


By


constructing


a neural network inverse system and combining it with the variable


frequency


speed- regulating


system,


a


pseudo-linear


system


is


completed,


and


then


a


linear


close-loop


adjustor


is


designed


to


get


high


performance.


Using PLC, a neural network inverse system can be realized in actural


system. The results of experiments have shown that the performances of


variable frequency speed-regulating system can be improved greatly and


the practicability of neural network inverse control was testified.



uction



In recent years, with power electronic technology, microelectronic


technology and modern control theory infiltrating into AC electric


driving system, inverters have been widely used in speed- regulating of


AC motor. The variable frequency speed-regulating system which consists


of an induction motor and a general inverter is used to take the place


of


DC


speed-regulating


system.


Because


of


terrible


environment


and


severe


disturbance


in


industrial


field,


the


choice


of


controller


is


an


important


problem. In reference [1][2][3], Neural network inverse control was


realized by using industrial control computer and several data


acquisition


cards.


The


advantages


of


industrial


control


computer


are


high


computation speed, great memory capacity and good compatibility with


;.


.


other software etc. But industrial control computer also has some


disadvantages in industrial application such as instability and


fallibility and worse communication ability. PLC control system is


special designed for industrial environment application, and its


stability and reliability are good. PLC control system can be easily


integrated into field bus control system with the high ability of


communication configuration, so it is wildly used in recent years, and


deeply welcomed. Since the system composed of normal inverter and


induction motor is a complicated nonlinear system, traditional PID


control strategy could not meet the requirement for further control.


Therefore, how to enhance control performance of this system is very


urgent.


The neural network inverse system [4][5] is a novel control method


in recent years. The basic idea is that: for a given system, an inverse


system


of


the


original


system


is


created


by


a


dynamic


neural


network,


and


the combination system of inverse and object is transformed into a kind


of


decoupling


standardized


system


with


linear


relationship.


Subsequently,


a linear close-loop regulator can be designed to achieve high control


performance. The advantage of this method is easily to be realized in


engineering.


The


linearization


and


decoupling


control


of


normal


nonlinear


system can realize using this method.


Combining


the


neural


network


inverse


into


PLC


can


easily


make


up


the


insufficiency of solving the problems of nonlinear and coupling in PLC


control system. This combination can promote the application of neural


network inverse into practice to achieve its full economic and social


benefits.


In this paper, firstly the neural network inverse system method is


introduced, and mathematic model of the variable frequency


speed-regulating system in vector control mode is presented. Then a


reversible


analysis


of


the


system


is


performed,


and


the


methods


and


steps


are given in constructing NN-inverse system with PLC control system.


;.


.


Finally, the method is verified in experiments, and compared with


traditional PI control and NN-inverse control.



Network Inverse System Control Method



The basic idea of inverse control method [6] is that: for a given


system,


an


α


-th


integral


inverse


system


of


the


original


system


is


created


by


feedback


method,


and


combining


the


inverse


system


with


original


system,


a kind of decoupling standardized system with linear relationship is


obtained, which is named as a pseudo linear system as shown in Fig.1.


Subsequently, a linear close-loop regulator will be designed to achieve


high control performance.


Inverse


system


control


method


with


the


features


of


direct,


simple


and


easy


to


understand


does


not


like


differential


geometry


method


[7],


which


is


discusses


the


problems


in



domain


main


problem


is


the


acquisition of the inverse model in the applications. Since non-linear


system


is


a


complex


system,


and


desired


strict


analytical


inverse


is


very


difficult to obtain, even impossible. The engineering application of


inverse


system


control


doesn’t


meet


the


expectations.


As


neural


network


has


non-linear


approximate


ability,


especially


for


nonlinear complexity


system,


it


becomes


the


powerful


tool


to


solve


the


problem.a


?



th


NN


inverse


system integrated inverse system with non-linear ability of the neural


network can avoid the troubles of inverse system method. Then it is


possible to apply inverse control method to a complicated non-linear


system.


a


?



th


NN


inverse


system


method


needs


less


system


information


such


as


the


relative


order


of


system,


and


it


is


easy


to


obtain


the


inverse


model


by neural network training. Cascading the NN inverse system with the


original system, a pseudo-linear system is completed. Subsequently, a


linear close-loop regulator will be designed.



3. Mathematic Model of Induction Motor Variable Frequency


Speed-Regulating System and Its Reversibility



;.


.


Induction


motor


variable


frequency


speed-regulating


system


supplied


by the inverter of tracking current SPWM can be expressed by 5-th order


nonlinear model in d-q two-phase rotating coordinate. The model was


simplified as a 3-order nonlinear model. If the delay of inverter is


neglected,


the model is expressed as follows:


(1)


where


denotes


synchronous


angle


frequency,


and


is


rotate


speed.



are stator’s current, and


(d,q)axis.


is number of poles.



are rotor’s flux linkage in



is mutual inductance, and


is


rotor’s


inductance.


J


is


moment


of


inertia.


and


is load torque.


In vector mode, then


is


rotor’s


time


constant,



Substituted it into formula (1), then



(2)


Taking reversibility analyses of forum (2), then


;.


.



The state variables are chosen as follows



Input variables are



Taking the derivative on output in formula(4), then


(5)


(6)


Then the Jacobi matrix is Realization of Neural Network Inverse System


with PLC


(7)


(8)


As


so


and system is



reversible. Relative-order of system is


When


the


inverter


is


running


in


vector


mode,


the


variability


of


flux


linkage can be neglected (considering the flux linkage to be


invariableness and equal to the rating). The original system was


simplified as an input and an output system concluded by forum (2).


According to implicit function ontology theorem, inverse system of


formula (3)


;.


.


can be expressed as



(9)


When


the


inverse


system


is


connected


to


the


original


system


in


series,


the pseudo linear compound system can be built as the type of



4. Realization Steps of Neural Network Inverse System



4.1 Acquisition of the Input and Output Training Samples


Training samples are extremely important in the reconstruction of


neural network


inverse system. It


is not only need to


obtain the dynamic


data of the original system, but also need to obtain the static date.


Reference signal should include all the work region of original system,


which


can


be


ensure


the


approximate


ability.


Firstly


the


step


of


actuating


signal is given corresponding every 10 HZ form 0HZ to 50HZ, and the


responses


of


open


loop


are


obtain.


Secondly


a


random


tangle


signal


is


input,


which is a random


signal cascading


on


the step of actuating


signal every


10


seconds,


and


the


close


loop


responses


is


obtained.


Based


on


these


inputs,


1600 groups


training samples are gotten.


4.2 The Construction of Neural Network


A static neural network and a dynamic neural network composed of


integral


is


used


to


construct


the


inverse


system.


The


structure


of


static


neural network is 2 neurons in input layer, 3 neurons in output layer,


and


12


neurons


in


hidden


layer.


The


excitation


function


of


hidden


neuron


is monotonic smooth hyperbolic tangent function. The output layer is


composed of neuron with linear threshold excitation function. The


training datum are the corresponding speed of open-loop, close-loop,


first order


derivative of these speed, and setting reference speed. After 50 times


;.



.


training, the training error of neural network achieves to 0.001. The


weight and threshold of the neural network are saved. The inverse model


of original system is obtained.



5 .Experiments and Results



5.1 Hardware of the System


The


hardware


of


the


experiment


system


is


shown


in


Fig


5.


The


hardware


system includes upper computer installed with Supervisory & Control


configuration


software


WinCC6.0


[8],


and


S7-300


PLC


of


SIEMENS,


inverter,


induction motor and photoelectric coder.


PLC


controller


chooses


S7-315-2DP,


which


has


a


PROFIBUS-DP


interface


and a MPI interface. Speed acquisition module is FM350-1. WinCC is


connected with S7-300 by CP5611 using MPI protocol.


The


type


of


inverter


is


MMV


of


SIEMENS.


It


can


communicate


with


SIEMENS


PLC by USS protocol. ACB15 module is added on the


inverter in this system.


5.2 Software Program


5.2.1 Communication Introduction


MPI


(MultiPoint


Interface)


is


a


simple


and


inexpensive


communication


strategy


using


in


slowly


and


non- large


data


transforming


field.


The


data


transforming between WinCC and PLC is not large, so the MPI protocol is


chosen.



The MMV inverter is connected to the PROFIBUS network as a slave


station, which is mounted with CB15 PROFIBUS module. PPO1 or PPO3 data


type can be chosen. It permits to send the control data directly to the


inverter addresses, or to use the system function blocks of STEP7V5.2


SFC14/15.


OPC can efficiently provide data integral and intercommunication.


Different


type


servers


and


clients


can


access


data


sources


of


each


other.


Comparing


with


the


traditional


mode


of


software


and


hardware


development,


;.

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