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Application of Proportional Integral Derivative [PID] Algorithms in Modern Industrial Control

Ezeilo, C.J Ogwata, C. M

Subject area: Science,Engineering and Technology  ·  Area of research: PID controller

Abstract

A proportional-integral-derivative controller (PID controller) is a control loop feedback mechanism widely used in industrial control systems. A PID controller calculates an error value as the difference between a measured process variable and a desired set point. The controller attempts to minimize the error by adjusting the process through use of a manipulated variable. The PID controller algorithm involves three separate constant parameters, and is accordingly sometimes called three-term control: the proportional, the integral and derivative values, denoted P, I, and D. Simply put, these values can be interpreted in terms of time: P depends on the present error, I on the accumulation of past errors, and D is a prediction of future errors, based on current rate of change. This paper evaluates the use of weighted sum of these three actions as used to adjust the process via a control element such as the position of a control valve, a damper, or the power supplied to a heating element.

References

[5] • Standard Type PID Controller This kind of PID controller will merge proportional control through integral & derivative control to automatically assist the unit to compensate modifications within the system. These modifications, integral & derivative are expressed in time-based units. These controllers are also referred through their reciprocals, RATE & RESET correspondingly. The terms of PID must be adjusted separately otherwise tuned to a specific system with the trial as well as error. These controllers will offer the most precise and steady control of the 3 types of controller. • Real-Time PID Controllers At present, there are various kinds of PID controllers are available in the market. These controllers are used for industrial control requirements like pressure, temperature, level, and flow. Once these parameters are controlled through PID, choices comprise utilize a separate PID controller or either PLC. These separate controllers are employed wherever one otherwise two loops are required to be checked as well as controlled otherwise in the conditions wherever it is complex to the right of entry through larger systems. These control devices provide different choices for solo & twin loop control. The standalone type PID controllers provide several fixed-point configurations to produce the autonomous several alarms. These standalone controllers mainly comprise PID controllers from Honeywell, temperature controllers from Yokogawa, autotune controllers from OMEGA, Siemens, and ABB controllers. PLCs are used like PID controllers in most of the industrial control applications The arrangement of PID blocks can be done within PACs or PLCs to give superior choices for an exact PLC control. These controllers are smarter as well as powerful as compared with separate controllers. Each PLC includes the PID block within the software programming. VII. METHODS PID TUNING Before the working of the PID controller takes place, it must be tuned to suit with dynamics of the process to be controlled. Designers give the default values for P, I, and D terms, and these values couldn’t give the desired performance and sometimes leads to instability and slow control performances. Different types of tuning methods are developed to tune the PID controllers and require much attention from the operator to select the best values of proportional, integral, and derivative gains. Some of these are given below. PID controllers are used in most industrial applications but one should know the settings of this controller to adjust it correctly to generate the preferred output. Here, tuning is nothing but the procedure of receiving an ideal reply from the controller through setting best proportional gains, integral & derivative factors

[6] The desired output of the PID controller can be obtained by tuning the controller. There are different techniques available to get the required output from the controller like trial &error, Zeigler-Nichols & process reaction curve. The most frequently used methods are trial & error, Zeigler-Nichols, etc. • Trial and Error Method This is a simple method of PID controller tuning. While the system or controller is working, we can tune the controller. In this method, first, we have to set Ki and Kd values to zero and increase the proportional term (Kp) until the system reaches oscillating behavior. Once it is oscillating, adjust Ki (Integral term) so that oscillations stop and finally adjust D to get a fast response. • Process Reaction Curve Technique This is an open-loop tuning technique. It produces a response when a step input is applied to the system. Initially, we have to apply some control output to the system manually and have to record the response curve. After that, we need to calculate slope, dead time, the rise time of the curve, and finally substitute these values in P, I, and D equations to get the gain values of PID terms. Fig 5 Process control curve • Zeigler-Nichols method: Zeigler-Nichols proposed closed-loop methods for tuning the PID controller. Those are the continuous cycling method and damped oscillation method. Procedures for both methods are the same but oscillation behavior is different. In this, first, we have to set the p-controller constant, Kp to a particular value while Ki and Kd values are zero. Proportional gain is increased till the system oscillates at a constant amplitude. Gain at which system produces constant oscillations is called ultimate gain (Ku) and the period of oscillations is called the ultimate period (Pc). Once it is reached, we can enter the values of P, I, and D in the PID controller by Zeigler-Nichols table depends on the controller used like P, PI or PID, as shown below. Table 1 Zeigler-Nichols table VIII. INDUSTRIAL APPLICATIONS OF PID CONTROLLERS The PID controller applications include the following. The best PID controller application is temperature control where the controller uses an input of a temperature sensor & its output can be allied to a control element like a fan or heater. Generally, this controller is simply one element in a temperature control system. The entire system must be examined as well as considered while choosing the right controller.

[3] • Temperature Control of Furnace Generally, furnaces are used to include heating as well as holds a huge amount of raw material at huge temperatures. It is usual for the material occupied to include a huge mass. Consequently, it takes a high quantity of inertia & the temperature of the material doesn’t modify rapidly even when huge heat is applied. This feature results in a moderately stable PV signal & permits the Derivative period to efficiently correct for fault without extreme changes to either the FCE or the CO. • MPPT Charge Controller The V-I characteristic of a photovoltaic cell mainly depends on the range of temperature as well as irradiance. Based on the weather conditions, the current and operating voltage will change constantly. So, it is extremely significant to track the highest PowerPoint of an efficient photovoltaic system. PID controller is used to finding MPPT by giving fixed voltage and current points to the PID controller. Once the weather condition is changed then the tracker maintains current and voltage stable. • The Converter of Power Electronics We know that converter is an application of power electronics, so a PID controller is mostly used in converters. Whenever a converter is allied through a system based on the change within the load, then the converter’s output will be changed. For instance, an inverter is allied with load; the huge current is supplied once loads are increased. Thus, the parameter of voltage as well as the current is not stable, but it will alter based on the requirement. In this state, this controller will generate PWM signals to activate the IGBTs of the inverter. Based on the change within the load, the response signal is provided to the PID controller so that it will produce n error. These signals are generated based on the fault signal. In this state, we can obtain changeable input & output through a similar inverter. • PID Controller Interfacing The design and interfacing of the PID controller can be done using the Arduino microcontroller. In the laboratory, the Arduino based PID controller is designed using the Arduino UNO board, electronic components, thermoelectric cooler, whereas the software programming languages used in this system are C or C++. This system is used to control the temperature within the laboratory. CONCLUSION The parameters of PID for a specific controller are found physically. The function of various PID parameters can be implemented through the subsequent contrast between different forms of controllers. This interfacing system can efficiently calculate the temperature through an error of ± 0.6℃ whereas a constant temperature regulates through simply a small difference from the preferred value is attained. The concepts used in this system will provide inexpensive as well as exact techniques to manage physical parameters in a preferred range within the laboratory. REFERNCES

[1] Bennett S (1993) Development of the PID controller. IEEE Control Syst Mag 13(6):58–62

[2] Khodadadi H, Ghadiri H (2018) Self-tuning PID controller design using fuzzy logic for half car active suspension system. Int J Dyn Control 6(1):224–232

[3] Porter B, Jones AH (1992) Genetic tuning of digital PID controllers. Electr Lett 28(9):843– 844

[4] Zhenbin W, Zhenlei W, Guangyi C, Xinjian Z (2005) Digital implementation of fractional order PID controller and its application. J Syst Eng Electr 16(1):116–122

[5] Díaz-Rodríguez Iván D, Sangjin H, Bhattacharyya Shankar P (2019) Analytical design of PID controllers. Springer, Berlin. ISBN 978–3–030–18227–4

[6] Ziegler John G, Nichols Nancy B (1942) Optimum settings for automatic controllers. J Dyn Syst Meas Control Trans ASME 115:220– 222

[7] Borase, R.P., Maghade, D.K., Sondkar, S.Y. et al. A review of PID control, tuning methods and applications. Int. J. Dynam. Control 9, 818–827 (2021). https:// 00665-4

How to cite this paper

Ezeilo, C.J, Ogwata, C. M "Application of Proportional Integral Derivative [PID] Algorithms in Modern Industrial Control" Iconic Research And Engineering Journals Volume 5 Issue 2 2021 Page 125-130
Ezeilo, C.J, Ogwata, C. M "Application of Proportional Integral Derivative [PID] Algorithms in Modern Industrial Control" Iconic Research And Engineering Journals, vol. 5, no. 2, Aug. 2021
Ezeilo, C.J, Ogwata, C. M (2021). Application of Proportional Integral Derivative [PID] Algorithms in Modern Industrial Control. Iconic Research And Engineering Journals, 5(2).
Ezeilo, C.J, Ogwata, C. M "Application of Proportional Integral Derivative [PID] Algorithms in Modern Industrial Control" Iconic Research And Engineering Journals, vol. 5, no. 2, Aug. 2021.
@article{1702900,
      author = {Ezeilo, C.J, Ogwata, C. M},
      title = {Application of Proportional Integral Derivative [PID] Algorithms in Modern Industrial Control},
      journal = {Iconic Research And Engineering Journals},
      year = {2021},
      volume = {5},
      number = {2},
      pages = {125-130},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/17029002.pdf},
      abstract = {A proportional-integral-derivative controller (PID controller) is a control loop feedback mechanism widely used in industrial control systems. A PID controller calculates an error value as the difference between a measured process variable and a desired set point. The controller attempts to minimize the error by adjusting the process through use of a manipulated variable. The PID controller algorithm involves three separate constant parameters, and is accordingly sometimes called three-term control: the proportional, the integral and derivative values, denoted P, I, and D. Simply put, these values can be interpreted in terms of time: P depends on the present error, I on the accumulation of past errors, and D is a prediction of future errors, based on current rate of change. This paper evaluates the use of  weighted sum of these three actions as used to adjust the process via a control element such as the position of a control valve, a damper, or the power supplied to a heating element.},
      month = {August},
  }