Design of FOPID Controller for Discrete System Utilizing Reduced-order Modeling

Meena, V. P.; Monga, Himanshu; Singh, V. P.

doi:10.1109/iceccme55909.2022.9988005

Cited by 10 publications

(5 citation statements)

References 16 publications

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“…Matrix expression (42) allows us to define full state space vector Y which components depend on input signals vector U, initial state vector Y0, and system parameters matrices A and M. Analysis of (21) allows us to study effect of each input signal and/or system initial state.…”

Section: Solution Of Direct Dynamic Problemmentioning

confidence: 99%

“…To perform such studies, we offer to rewrite (21) and define each drive state variable as linear combinations of its inputs and initial states which are weighted with some differential operators ;…”

Section: Solution Of Direct Dynamic Problemmentioning

confidence: 99%

“…That is why a lot of methods and approaches to designing closed-loop control systems are developed [15,16], [17,18], [19,20], [21]. One of them is based on the intellectual control paradigm and allows us to design controllers by intellectual control methods such as neuro and fuzzy control [22,23], [24].…”

Section: Introductionmentioning

confidence: 99%

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Information support to solve direct dynamic problem for the previouslydisturbed electromechanicalsystems

Voliansky,

Sadovoi,

Tolochko

et al. 2024

HAIT

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The article is devoted to the creation of methodological foundations for solving a direct problem of dynamics for linear dynamic systems, the motion of which is described by ordinary differential equations with nonzero initial conditions. Consideration of the motions of linear dynamic systems allows to simplify the mathematical apparatus used and to solve motion determination problems by using a known approach based on transfer functions. However, due to the fact that the classical definition of transfer functions does not involve taking into account non-zero initial conditions, which are caused by the presence of initial deviations of the coordinates of the control object from their desired values, in our work we use the Laplace-Carson transformation to find the corresponding images and write the equations of motion in operator form. This approach, in contrast to the generally acceptedone, led to the introduction of information about the initial conditions of motion in the right-hand side of the corresponding operator differential equations and necessitated the generalization of the vector of control signals by including in it components that take into account the initial conditions of motion of the system under consideration. Such transformations made it possible to generalize the concept of a matrix transfer function as a matrix linear dynamic operator, which consists of two components that define disturbed free and controlled forced movements. The use of such an operator makes it possible to study the dynamics of the considered linear system both separately for each of the components of the generalized vector of controlling influences, and in the complex, thus solving the direct problem of the dynamics of linear systems.

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Section: Solution Of Direct Dynamic Problemmentioning

confidence: 99%

Section: Solution Of Direct Dynamic Problemmentioning

confidence: 99%

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Information support to solve direct dynamic problem for the previouslydisturbed electromechanicalsystems

Voliansky,

Sadovoi,

Tolochko

et al. 2024

HAIT

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show abstract

“…Recently, metaheuristic-based tuning [39] is employed for optimizing the parameters of controllers because of its better performance characteristics than rule-based and model-based tuning methods. Genetic algorithm [26], [40] , bacteria foraging optimization [41] , gravitational search algorithm [42], [43] , grey wolf optimizer (GWO) [44]- [46] , whale optimization [23] , bat algorithm [47], [48] , firefly algorithm [49] , particle swarm optimization (PSO) [27], [50] , artificial bee colony [51], [52] , Jaya algorithm [53], [54] , and teachinglearning based optimization (TLBO) [55], [56] are some of the algorithms implemented to tune PID controllers for AGC.…”

mentioning

confidence: 99%

Rank Exponent Method Based Optimal Control of AGC for Two-Area Interconnected Power Systems

Mamta,

Singh,

Waghmare

et al. 2024

IEEE Access

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Automatic generation control (AGC) is employed in power systems to maintain balance between generation and load by adjusting output of generators in real time. Controller continuously monitors system frequency and tie-line power flow by responding to fluctuations in electricity demand and supply and optimizes generator dispatch, reduces power imbalances, and enhances grid stability. This work proposes and solves the issues of the AGC in two-area interconnected power systems by proposing a new approach based on both Jaya algorithm and the rank exponent method. In particular, we design a proportional-integralderivative controller with derivative filtering (PIDm), where the effect of the noise is mitigated by the use of a filter with derivative gain. We propose to build the objective function, to tune the controller's parameters, as the linear combination of three sub-objectives, namely integral of time multiplied absolute error (ITAE) for frequency deviations, tie-line power deviation, and area-control errors (ACEs). The rank method is exploited to evaluate the weights of these sub-objectives, while the final overall objective function is minimized exploiting the Jaya algorithm. The proposed controller's performance is assessed in six different scenarios with load disturbances, and its effectiveness is compared to state-of-art controllers tuned using salp swarm algorithm (SSA), Nelder-Mead simplex (NMS), symbiotic organisms search (SOS), elephant herding optimization (EHO), and Luus-Jaakola (LJ) optimization algorithms. To illustrate the frequency and tie-line power changes, results are also shown, and a statistical study is finally carried out to evaluate the recommended controller's overall effectiveness. Additionally, Friedman rank test as no-parametric statistical analysis is also done in order to evaluate the significance level of optimization algorithms. Our numerical findings evidence that the proposed PIDm controller outperforms other existing optimizationbased controllers in terms of performance and utility, thus proving to be very effective for handling AGC issues in two-are interconnected power systems.INDEX TERMS Rank exponent method, AGC, Jaya optimization, Interconnected power system. I. INTRODUCTIONI N power system, load demand is constantly varying.To meet out the increasing demand for power, singlearea power systems are less reliable. Reliability is the main concern in operation of a power system. To ensure the reliability of power system, distinct areas' generators are interconnected via tie-lines. This type of interconnection is known as interconnected power system (IPS) [1]. In IPS, it is essential to operate all generators at the same frequency in a synchronized manner. The frequency of IPS will deviate VOLUME X, XXXX

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“…If a few steps were taken to minimize these aspects, then this kind of energy would become a cheaper and maintenancefree system for several years (Caracas et al, 2013;Meghni et al, 2017). In (Raghavendra et al, 2019), the authors propose a unique converter for solar water-pumping assemblies that do not require a battery (Antonello et al, 2016;Raghavendra et al, 2019;Meena and Singh, 2023b;Fekik et al, 2023;Thanikanti et al, 2023). Then, new high-voltage-boosting converters are designed in (Hwu et al, 2012;Hwu and Yau, 2013).…”

mentioning

confidence: 99%

Cost-effective high-gain DC-DC converter for elevator drives using photovoltaic power and switched reluctance motors

Baskaran,

Naghapushanam,

Ganapathy

et al. 2024

Front. Energy Res.

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Low-cost photovoltaic-powered elevators (PVPEs) have gained ever-increasing attention in the last few years for their advantages in terms of renewable energy and low maintenance costs after installation. In this paper, four high-step-up DC-DC converters for low-voltage sources such as solar photovoltaic, fuel cells, and battery banks are proposed. Their performances are evaluated in terms of optimal capability and high reliability. Among the four proposed architectures, the bootstrap converter is selected for its ability to restrict losses and other redundant parameters. The proposed converter drives the inverter-driven switched reluctance motor (SRM) assembly through a directly coupled method, which eliminates the need for battery banks while aiding in cost reduction. The prototype model is implemented, and results are validated, showing promising performance and thus being very efficacious for application to low-cost PVPEs.

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Design of FOPID Controller for Discrete System Utilizing Reduced-order Modeling

Cited by 10 publications

References 16 publications

Information support to solve direct dynamic problem for the previouslydisturbed electromechanicalsystems

Information support to solve direct dynamic problem for the previouslydisturbed electromechanicalsystems

Rank Exponent Method Based Optimal Control of AGC for Two-Area Interconnected Power Systems

Cost-effective high-gain DC-DC converter for elevator drives using photovoltaic power and switched reluctance motors

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