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Control of Batch Kraft Digesters. H-factor Control Vroom. Manipulate time and/or temperature to reach desired kappa endpoint. Works well if there are no variations in raw materials or chemicals. Kappa or Yield. 15% EA. 18% EA. 20% EA. H-factor. H-factor Control Vroom. H. 2000. K=32.
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H-factor ControlVroom • Manipulate time and/or temperature to reach desired kappa endpoint. • Works well if there are no variations in raw materials or chemicals. Kappa orYield 15% EA 18% EA 20% EA H-factor
H 2000 K=32 1500 1000 500 EA 12 14 16 18 20 22 24 Necessary H-factor for obtaining K = 32 vs. EA concentration in liquor sample Kappa Batch ControlNoreus et al. • Control strategy uses empirical model that predicts kappa number from effective alkali concentration of liquor sample at beginning of bulk delignification (~150 ºC). • Where H is H-factor, EA is effective alkali, K is kappa number, and a are model constants.
Kappa BatchSensors • Effective Alkali Analyzer - Conductivity Titration • Temperature and pressure sensors
Kappa BatchLaboratory Tests • Effective alkali – compared against titration • End of cook kappa to check prediction
Kappa BatchDisturbances/Upsets • Chip Supply • Moisture content, size distribution, chemical content • Pulping Liquor • White liquor EA and sulfidity • Black liquor EA and sulfidity • Digester Temperature Profile • Time to temperature and maximum temperature
Kappa BatchOperations and Objectives • Operator Setpoint(s) • End of cook kappa number • Manipulated Variables • Temperature profile • Cooking time • Control Objective • Decrease standard deviation in final kappa target.
Kappa BatchMill Results • Lowered final kappa standard deviation.
Kappa BatchControl Benefits • Bleached Pulp • Lower chemical usage and effluent loading in bleach plant • Unbleached Pulp • Higher yield
Batch ControlKerr • Control strategy uses semi-empirical model that predicts kappa number from effective alkali concentration of liquor sample taken at two points in the bulk delignification phase. • Where H is H-factor, a2 and b2 are slope and intercept of lignin to EA relationship, a3 and a4 are constants (a3 can incorporate sulfidity and chip properties).
Inferential ControlSutinen et al. • Control techniques use liquor measurements (CLA 2000) for control of final kappa number • EA – conductivity • Lignin – UV adsorption • Total dissolved solids – Refractive Index (RI)
Inferential ControlSutinen et al. • Statistical model using Partial Least Squares (PLS) to predict kappa number. • Past batch information used to formulate current control model. • Control Strategies • Use PLS model to manipulate cooking time or temperature to achieve final kappa
Inferential ControlModel Results • Using model final kappa variation reported to be reduced by 50%.
Inferential ControlKrishnagopalan et al. • Statistical model using Partial Least Squares (PLS) to predict kappa number. • Past batch information used to formulate current control model. • Control Strategies • Direct – Use PLS model to manipulate input vector • Indirect (adaptive) – Use PLS model to estimate parameters of empirical model for control (e.g., Chari, Vroom) • Kinetic models developed for lignin, carbohydrates, and viscosity can be used for optimization (e.g., liquor profiling).
Inferential Batch ControlSensors • Continuous in-situ measurements of liquor EA (conductivity), lignin content (UV), solids content (RI), and sulfide concentration (IC). • Measurements are also done using near infrared.
Inferential Batch ControlOperations and Objectives • Operator Setpoint(s) • End of cook kappa number • Manipulated Variables • Midpoint temperature • Cooking time • Control Objective • Decrease standard deviation in final kappa target
Inferential Batch ControlOperations and Objectives • Model based control adjusts both end time and temperature in optimal fashion. • Temperature main manipulated variable
Inferential Batch ControlSimulated Results • Adaptive strategy performs better. Handles non-linearity between manipulated variables and end kappa more efficiently.