Elsevier

Applied Soft Computing

Volume 24, November 2014, Pages 912-922
Applied Soft Computing

A novel self-tuning control method based on regulated bi-objective emotional learning controller's structure with TLBO algorithm to control DVR compensator

https://doi.org/10.1016/j.asoc.2014.08.051Get rights and content

Highlights

  • Presenting self-tuning PI controller based on human brain emotional learning to control DVR.

  • Suggesting a bi-objective structure for emotional controller to satisfy voltage sag and THD.

  • Considering sensitivity of the controller's coefficients, they are regulated by an algorithm.

  • TLBO algorithm is used to optimize emotional controller's parameters.

  • Convergence speed and final answer are great better in TLBO algorithm than PSO algorithm.

Abstract

DVR is one of the custom power devices for compensating power quality indices. A self-tuning controller with a bi-objective structure is presented for controlling the DVR compensator in order to improve the THD and voltage sag indices of a sensitive load in the network. In this paper, the emotional controller which is based on emotional learning of human brain is proposed for controlling the DVR compensator. This controller has such a structure that makes it capable of considering a second objective in the control process of the system. So far, this capability of the emotional controller has not been used in any researches. The results of the paper demonstrate that compensating and controlling the voltage THD signal in the control process has caused more improvement in the voltage sag of the sensitive load. It was reported that the performance of the emotional controller depends on the selection of the values of its coefficients. Therefore, in order to better improve the proposed controller, these coefficients are tuned by an optimization algorithm. Teaching–learning-based optimization algorithm is considered as optimization algorithm to regulate these coefficients. According to simulation results, it works significantly better than classic PI controller and some intelligent controllers that have introduced in other researches already.

Introduction

Nowadays by increasing the number of sensitive loads, demand for access to stable and high quality electrical power has increased significantly. In industrial competitive environment, with the development of commercial production of power electronic devices, computer processors and nonlinear loads, any interruption or diversion from the standard range causes economic losses. The realization of this economic loss can be studied in such frameworks as production competition opportunity loss, efficiency reduction and production cost increase, low-quality products, reduced equipment lifetime and increased repair cost, production interruption and energy losses. Thus, access to high power quality, applies a great influence on the asset savings and economic advantages for a firm [1].

Disturbance in power distribution system causes harmful defects in distribution system such as interruption, voltage sag, voltage swell, and flicker. Among the above disturbances the most important is voltage sag. According to the IEEE standard, it is defined as a sudden voltage decrease in the range of 10–90% for 0.5 cycles to 1 min [2]. That is the result of natural phenomena such as system asymmetric errors and electromagnetic phenomena such as start and inrush current.

“Custom power” device have been introduced by experts in order to compensate the harmful effects of disturbances on sensitive loads. Among these devices, DVR is capable to compensate voltage sag and swell effects for sensitive loads devices. The structure of DVR in simple terms consists of: electrical storage source, voltage source inverter and coupling transformer. Recognizing voltage sag in feeder connected to the sensitive load, DVR generates proper voltage using coupling transformer which is in series with sensitive load and injects proper voltage to the network and decrease voltage sag effect.

The control system of a DVR plays an important role. It should have a fast response in presence of voltage sags and variations in the connected load. The main purpose of the control system is to preparation of a constant voltage for sensitive load, under system disturbances [3]. The performance analysis and control of the DVR, with different control strategies, have been studied and examined by researchers. Most of the published works on the DVR have used an ordinary proportional-integral (PI) controller in a synchronous frame [4]. The classical PID method has poor flexibility since its parameters cannot be changed. Furthermore, when it is applied to such complicated systems as power system in fault conditions specially, proper results cannot be obtained in most cases [5]. Therefore, control strategies such as predictive control [6], sliding mode [7] and robust control [8] are used in order to control injected voltage. Also in [9] and [10] H∞ controller and a controller based on iteration are used respectively for having better operation in steady and transient states. A multi-level inverter with optimal predictive control structure is used in [11]. These controllers are based on classical and nonlinearity control theory. The problems of control plants that arise in systems such as power systems and its components such as DVR can be classified under three categories. The first problem is complex computation of DVR control. Therefore these theories are rarely used in practical systems. The second is the presence of nonlinearities in these systems that make the control problem complicated. The last is uncertainty in these systems. Necessary information required in the mathematical model of these systems such as intensive dynamic behaviors in normal and fault mode. Most classic and nonlinear control methods are model base. Hence it is possible that they have complexity in control. Therefore, based on the nonlinear control theory as fine as the human ability to comprehend, reason and learn, intelligent methods may be used to overcome the these problems [12]. Thus some researchers investigated on intelligent techniques in order to control DVR compensator. Emotional controller is implemented as an adaptive controller in [13] in DVR control. In [14], [15], [16], improving voltage THD index has also been considered as an objective and a control criterion. In [14], [15] is introduced a multi-objective PSO and multi-objective modified PSO (CAPSO) algorithms to optimize voltage sag and THD. An adaptive neural network controller based on Hebb learning theory discussed in [16]. This controller was made bi-objective with fuzzification of goals. However, in all of the aforementioned references, algorithms are complex. Although applied control strategies are capable to reduce impulses caused by voltage sag in sensitive loads, but most of these approaches do not consider reducing voltage THD. In many sensitive loads such as medical equipment and adjustable speed motor drives, this level of sensitivity can be very important.

In most of the aforementioned researches, it is tried to utilize a stable controller to have a robust system in the presence of fault conditions. Refs. [14], [15] are one the rare researches which has tried to improve sensitive load voltage THD and voltage sag together. In this research evolutionary algorithms have been used to optimize two-objective mentioned together in DVR. This approach has two shortcomings. Firstly, power systems and compensators have a completely nonlinear nature. This may cause that these algorithms operate based on random search to encounter the problems and converge to a local optimum. Also, it is necessary to say that in real power systems this search process takes long time. Secondly, power systems have different dynamic behaviors especially during fault conditions. Therefore, PID controllers which are optimized by off-line search algorithms may not have a good performance under these conditions. In this paper it is tried to solve these problems. Consequently, a controller based on intelligent systems with two-objective structure should be better. We try to create a controller that has more accuracy in DVR control. This controller is based on emotions called emotional controller and it is adaptive based on intelligent control. In the following, we introduce this controller.

The adaptive method which is inspired by learning nature of human brain is used as a self-tuning PI controller. In order to put capability of having an appropriate performance during voltage sag and voltage THD for sensitive load, a two-objective structure is proposed. Proper regulating of emotional controller's parameters is enormous essential to have better performance [17]. Hence we decide to regulate these parameters with an optimization algorithm. Considering some drawbacks of most optimization algorithms, in this paper we use TLBO algorithm for regulating these parameters. Most optimization methods require algorithm parameters that affect the performance of the algorithm. For instance, GA requires the crossover probability, mutation rate, and selection method; PSO requires learning factors, the variation of weight, and the maximum value of velocity. The proper tuning of the algorithm specific parameters is very crucial factor, which affect the performance of the above mentioned algorithms. The improper tuning of algorithm-specific parameters either increases the computational effort or yields the local optimal solution [18], [19], [20]. Considering this fact, Rao et al. [21] introduced the teaching–learning-based optimization (TLBO) algorithm which does not require any algorithm parameters to be tuned, thus making the implementation of TLBO simpler [21]. Therefore in this paper, TLBO algorithm is used for regulating bi-objective emotional controller's coefficients to have appropriate performance. Also we use PSO algorithm for regulate parameters of this controller to compare this PSO algorithm with TLBO algorithm. To investigate efficiency of the proposed algorithm, performance of DVR compensator is tested during various faults in a typical network and compared with those of emotional and classic PI controller and other controllers which are introduced in previous researches. Also, in this paper in order to have better comparison, some other controllers based on intelligent systems have been used. These controllers are such as PI controller regulated with multi-objective PSO and CAPSO algorithm [14], [15], Hebb learning controller and its bi-objective version [16].

DVR operation is introduced in Section 2; PI emotional controller and its multi-objective structure (proposed controller) are introduced in Sections 3 Structure of human brain emotional learning, 4 DVR intelligent control based on emotional learning and its bi-objective control structure respectively. The final section contains the simulation and results.

Section snippets

DVR's structure and functionality

DVR is one of the “custom power” devices in distribution network which is series with transmission line. Load voltage becomes balance by injecting three controlled voltages during disturbance in the power system. Thus DVR is based on injection of appropriate voltage during voltage sag in order to compensate it. DVR functionality can be categorized as two modes: standby mode and injection mode [13], [14], [15], [16], [17], [18], [19], [20], [21], [22]. In the standby mode a low voltage inject

Structure of human brain emotional learning

In 2000, this controller was introduced for the first time by Moren and Balkenious. These researchers started to develop computational models of those parts of the human brain which carry out emotional processing. In [23], a new model for performance of the brain emotion processing parts consisting of Amygdala, orbitofrontal cortex, thalamus, and finally sensory cortex has been presented in Fig. 2, Fig. 3.

Considering the aforementioned model and according to new theories, the

DVR intelligent control based on emotional learning and its bi-objective control structure

By combining Eqs. (1), (2), (3):MO=(GaGoc)SIG(SI,EC,)SI

In the other words, the Amygdala–orbitofrontal emotional learning system output is equal to a varying gain G (which is dependent to various factors such as emotional signal EC, input stimulant SI, etc.,) multiplied by input stimulant SI [24]. Due to the value and high performance of self-tuning PID controller in DVR performance control domain, a simple and appropriate suggestion to formulate stimulant input signal is a template similar

Teaching–learning based optimization algorithm

TLBO algorithm, originally developed by Rao et al. [21], is a population-based optimization algorithm. In TLBO algorithm a population of solutions is utilized to proceed to the global solution. To this end, in TLBO algorithm, a group of learners is chosen as population and different design variables are considered as different subjects offered to the learners and learners’ result is similar to the ‘fitness’ value of the optimization problem [25], [26], [27]. In the whole population, the best

Proposed method

A special characteristic of emotional controller that makes it effective is its flexibility. This controller has several gains that give good freedom for choosing favorite response [28]. Here we use TLBO algorithm to choose the best set of these gains for our controller to achieve the desired response. Emotional controller is used to improve the step response of DVR compensator. The TLBO algorithm was utilized to determine six optimal controller parameters, such that the controlled system could

Simulation and results

The power distribution system case study consists of two voltage buses one of which includes sensitive load. The simple schematic of electrical network is shown in Fig. 7 and its parameters are introduced in Table 1. This network is applied in [14], [15], [16].

The distractive effect of fault increases by decreasing distance between event locations to sensitive load. In order to analyze more critical conditions, two faults are simulated. The first fault is occurred just after series injection

Conclusion

According to the results obtained from applying proposed algorithm to the test system, it can be said that this method is a appropriate approach for improving power quality for customers. As it is clear, due to dynamic behavior of power system under normal and fault conditions it is difficult to have a good model. This method is applied as bi-objective controller to modify both of indices of power qualities such as sag and THD voltage. We should have accurate and efficient controller to

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