A general method to calculate input-output gains and the relative gain array for integrating processes

This paper presents a relative gain array (RGA) analysis of a simulated solid oxide fuel cell/gas turbine plant, based on a multivariate empirical formulation of a 300 kW hybrid system. The HyPer test facility at the National Energy Technology Laboratory, served as the test bed for deriving frequency response data and subsequent multivariable model of a direct-fired, recuperated hybrid cycle plant. Through the modulation of various airflow bypass valves, magnitude and phase data are used to formulate transfer function (TF) equations that describe input/output system interaction. A frequency dependent RGA calculation of the empirical TF matrix provides a means of quantifying the degree of coupling between system inputs and outputs for the configuration studied. Various input/output interaction time scales are obtained to identify frequencies where fully developed system coupling occur. Analysis of the RGA matrix leads to a better understanding of the inherent properties and the hybrid configuration, and can serve as a validating tool to existing analytical RGA calculations of similar types of hybrids.

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RGA Based Decoupler Design for a Coupled Tank MIMO Process

International Journal of Innovative Technology and Exploring Engineering - Special Issue ◽

10.35940/ijitee.g5968.078919 ◽

2019 ◽

Vol 8 (9) ◽

pp. 23-26

Keyword(s):

Process Control ◽

Mathematical Models ◽

Detailed Analysis ◽

Flow Rate ◽

Pi Controller ◽

Nonlinear Behaviour ◽

Simulation Studies ◽

Input Output ◽

Relative Gain ◽

Relative Gain Array

The objective of this paper is to develop the Relative Gain Array (RGA) based Decoupler design with PI Controller for a MIMO Process. The contrsoller thus developed is implemented on Laboratory interacting coupled tank process through simulation. This can be regarded as the relevant process control in petrol and chemical industries. These industries involve controlling the liquid level and the flow rate in the presence of nonlinearity and disturbance which justifies the use of PI Controller with Decoupler scheme. For this purpose, mathematical models are obtained for each of the input-output combinations using white box approach and the respective controllers are developed. A detailed analysis on the performance of the chosen process with these controllers is carried out. Simulation studies reveal the effectiveness of proposed controller for MIMO process that exhibits nonlinear behaviour.

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Once-through Circulating Fluidized Bed Boiler Control Design with the Dynamic Relative Gain Array and Partial Relative Gain

Industrial & Engineering Chemistry Research ◽

10.1021/acs.iecr.7b03259 ◽

2017 ◽

Vol 56 (48) ◽

pp. 14290-14303 ◽

Cited By ~ 2

Author(s):

Matias Hultgren ◽

Enso Ikonen ◽

Jenő Kovács

Keyword(s):

Fluidized Bed ◽

Circulating Fluidized Bed ◽

Control Design ◽

Circulating Fluidized Bed Boiler ◽

Relative Gain ◽

Relative Gain Array

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Solving the Kinematics of Planar Mechanisms

Volume 1B: 25th Biennial Mechanisms Conference ◽

10.1115/detc98/mech-5935 ◽

1998 ◽

Author(s):

Charles W. Wampler

Keyword(s):

Eigenvalue Problem ◽

Complex Plane ◽

System Of Equations ◽

Polynomial Equations ◽

Input Output ◽

Planar Mechanisms ◽

General Method

Abstract This paper presents a general method for the analysis of planar mechanisms consisting of rigid links connected by rotational and/or translational joints. After describing the links as vectors in the complex plane, a simple recipe is outlined for formulating a set of polynomial equations which determine the locations of the links when the mechanism is assembled. It is then shown how to reduce this system of equations to a standard eigenvalue problem, or if preferred, a single resultant polynomial. Both input/output problems and tracing-curve equations are treated.

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Relative Gain Array and Singular Value Analysis to Improve the Control in a Biomass Pyrolysis Process

2019 IEEE 15th International Conference on Control and Automation (ICCA) ◽

10.1109/icca.2019.8900025 ◽

2019 ◽

Author(s):

Julian Hofmann ◽

Hans-Christian Holz ◽

Lutz Groll

Keyword(s):

Singular Value ◽

Pyrolysis Process ◽

Biomass Pyrolysis ◽

Value Analysis ◽

Relative Gain ◽

Relative Gain Array

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On the Relative Gain Array (RGA) with singular and rectangular matrices

Applied Mathematics Letters ◽

10.1016/j.aml.2019.01.031 ◽

2019 ◽

Vol 93 ◽

pp. 52-57 ◽

Cited By ~ 5

Author(s):

Jeffrey Uhlmann

Keyword(s):

Relative Gain ◽

Relative Gain Array

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Analysis of Process Interactions in Dynamic System Using Frequency Dependent RGA

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.403-408.895 ◽

2011 ◽

Vol 403-408 ◽

pp. 895-899

Author(s):

Amit Jain ◽

B.V. Babu

Keyword(s):

Transfer Function ◽

Process Model ◽

Transfer Function Model ◽

Control Loop ◽

Frequency Range ◽

Function Model ◽

Frequency Dependent ◽

Relative Gain ◽

Relative Gain Array ◽

Correct Pairing

A frequency dependent approach to defining a dynamic relative gain array (DRGA) is discussed. The approach assumes the availability of a dynamic transfer function based process model for control loop pairing analysis. Two examples are considered: one in which the traditional RGA (based on steady-state gain matrix) gives the correct pairing recommendation and the other in which the traditional RGA suggests wrong pairings particularly in the frequency range of interest. The calculations pertaining to analysis of control loop pairing is performed using MATLAB (version 7.0.1). An inaccurate indication of the amount of interaction present is discussed. The first example uses 2x2 transfer function model [1] and the second one uses 3x3 transfer function model [2].

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