Energy Use in Distillation Operation: Nonlinear Economic Effects IETC 2010 Spring Meeting Presenter Doug White Principal Consultant PlantWeb Solutions Group Emerson Process Management Houston, Texas 2010 IETC Meeting Distillation Energy Impact Over 40000 distillation/ fractionation columns in the US alone Consume 40% - 60% of the total energy used in chemical and refining plants Consume 19% of the total energy used in manufacturing plants in the US Reference: Office of Industrial Technology: Energy Efficiency and Renewable Energy; US Department of Energy Washington, DC “Distillation Column Modeling Tools” 2010 IETC Meeting Presentation Objectives Present general approaches to saving energy in fractionation/ distillation through improved control Present techniques for economic analysis that recognize non-linear character of distillation operation and effects of product blending 2010 IETC Meeting Typical Distillation Column PC CW LC Gas FC FC Feed, F Reflux, R Distillate, D TC FC LC Reboiler, E Bottoms, B AC 2010 IETC Meeting Steam AR Traditional Control Benefit Analysis Specification Limit Product Composition ($/ Day Profit) Operating Targets Poor Control Better Control, Reduced Variability Time When is this valid? When is it not? 2010 IETC Meeting Improved Profit By Changing Target Representation of Variability Gaussian Distribution Specification Limit Mean Frequency of Occurrence Product Composition Time Composition 2010 IETC Meeting Effect of Variability – Linear Objective Function Expected Values Valuation Function Product Value; $/ Day Projected Distribution Move Average Closer To Limit To Increase Value Limit Original Distribution Composition No Benefit For Better Control At Constant Setpoint! 2010 IETC Meeting Case Study – Debutanizer Column PC LC FC FC Feed, F 20,000 BPD $60/ Bbl C3 – 25% nC4 – 25% nC5 – 25% nC6 – 25% Reflux, R AR TC FC Steam 15$/MMBTU LC Reboiler, E Bottoms, B AC < 5%C4; $80/ Bbl > 5%C4; $60/ Bbl 2010 IETC Meeting Distillate, D < 3%C5 ;$60/ Bbl >3%C5; $40/ Bbl Case Study – Typical Tiered Pricing With Composition < 3%C5; $60/ Bbl On - Spec Product >3%C5; $40/ Bbl Off - Spec Product < 5%C4; $80/ Bbl On - Spec Product > 5%C4; $60/ Bbl 2010 IETC Meeting Off - Spec Product Impact of Material Balance Variability Operating Margin – Bottoms Compositional Change – Constant Reflux – No Control Variability 15,000 Operating Margin, $/ Day 10,000 5,000 Top Product On Spec Bottom Product Off Spec 0 -5,000 0.00% 1.00% 2.00% 3.00% 4.00% Pct C4 in Btms 2010 IETC Meeting 5.00% 6.00% 7.00% Operating Margin – Control Variability Impact – Base Case 15,000 Operating Margin, $/ Day Initial Mean Value 10,000 Spec 5,000 Initial Operating Target 0 Initial Variability -5,000 0.00% 1.00% 2.00% 3.00% 4.00% Pct C4 in Btms 2010 IETC Meeting 5.00% 6.00% 7.00% Operating Margin – Improved Control – Reduced Variability Case New 15,000 Mean Value Increased Margin Spec Operating Margin, $/ Day 10,000 Improved Control Yields Value At Constant Setpoint! 5,000 0 -5,000 0.00% 1.00% 2.00% 3.00% Same Operating Target New Variability 4.00% Pct C4 in Btms 2010 IETC Meeting 5.00% 6.00% 7.00% Operating Margin – Optimum Target Composition Versus Control Performance 10500 Std Dev Optimum Setpoint 0.0 Operating Margin, $/ Day 10000 0.1 0.2 Optimum Target For Composition Varies with Control Performance and is NOT at the limit! 9500 9000 8500 0.3 0.4 8000 3 3.5 4 Bottom Composition, % 2010 IETC Meeting 4.5 5 Energy Balance Control Distillation – Energy and Margin Product Value, $/day High Energy Cost, $/day Low Energy Cost, $/day Low Energy Operating Margin, $/ Day Cost Margin $/day High Energy Cost Margin $/day High Energy Cost Optimum Low Energy Cost Optimum Min Reflux High Purity Specifications 2010 IETC Meeting Reflux/ Reboiler Energy Cost versus Reflux Change – Constant Bottom Composition 25,000 Energy Cost, $/ Day 6 Top Product Specification Limit 5 20,000 4 15,000 3 10,000 2 5,000 1 0 0 0.5 0.7 0.9 1.1 1.3 1.5 Reflux/ Feed Ratio 2010 IETC Meeting 1.7 1.9 2.1 Top Product C5+, % 30,000 Operating Margin – Optimum with Varying Energy Pricing 250,000 Steam Cost, $/ mBTU Top Product Specification Limit Operating Margin, $/ Day 240,000 5 230,000 15 Optimum 220,000 210,000 Control Target Changes from Composition To Reflux (Energy) Depending on Relative Prices 25 200,000 0.5 0.7 0.9 1.1 1.3 1.5 Reflux/ Feed Ratio 2010 IETC Meeting 1.7 1.9 2.1 Non-Linear Objective Functions – Impact of Variability For nonlinear relationship, the expected value of the energy cost is NOT at the value equivalent to the median of the composition; It’s value depends on the standard deviation of the composition Energy Cost Expected Value Probability Distribution More Pure Composition 2010 IETC Meeting Less Pure Energy Cost – Effect of Control Variability 27,000 Energy Cost, $/ Day Initial Mean Value 22,000 Reduced Energy New Mean Value 17,000 Initial Variability New Variability 12,000 1.0 2.0 3.0 4.0 Distillate Composition, C5+, % 2010 IETC Meeting 5.0 6.0 Effect of Blending Column Product Shipped Product Proposition: Since actual specification is on shipped product rather than column product directly, small excursions over the specification don’t matter and can be handled by blending. Is this correct? 2010 IETC Meeting Energy Cost – Impact of Control Performance 15,900 15,800 Better Control Performance Pays Even With Blending Energy, $/ Day 15,700 15,600 15,500 15,400 15,300 15,200 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Distillate Composition Standard Deviation (Constant Mean) 2010 IETC Meeting 0.9 Pressure Effects Energy Cost – Operating Pressure Impact – Constant Top and Bottom Product Compositions Energy Cost, $/ Year 6,000,000 5,000,000 4,000,000 Minimum Pressure Cooling Water Minimum Pressure Air Cooler 3,000,000 80 100 120 140 Condenser Pressure, PSIA 2010 IETC Meeting 160 180 Non – Symmetric Distributions High Purity Columns Often Have NonSymmetric Compositional Distributions. Aromatics Column Data 120 Data Frequency Results 100 Gumbel 80 Gaussian 60 Gumbel is a two parameter statistical distribution which often fits nonsymmetric data well 40 20 0 0 0.5 1 1.5 Impurity Composition, % 2010 IETC Meeting 2 Summary – Distillation Economics Conclusions For practical cases with tiered product pricing the optimum composition target may not be at the maximum impurity limit The optimum energy usage depends on energy pricing and may be shift from constrained to unconstrained Even with product blending there is an incentive for better control performance Minimizing pressure continues to have value for many separations High purity columns often have non-symmetric compositional distributions – require special statistical analysis beyond Gaussian distribution assumptions 2010 IETC Meeting