Thermal Flywheeling Alex Woolf, PhD - Principal Data Scientist Lineage Logistics 1
THE NEED FOR COLD 2
THE NEED FOR COLD 3
THE NEED FOR COLD 4
THE NEED FOR COLD 5
LINEAGE INTRO 6
WAREHOUSE 7
LINEAGE INTRO 8
APPROACH QTY POWER LABOR = - - EBITDA PRICE * T HERMAL W ORK E FFICIENCY P RICE / kW kW E $ = kW T P OWER C OST * * kW T kW E 9
•Lineage - Macon, GA 10
ENERGY RATES 11
WAREHOUSE 12
INDUSTRY STANDARD Industry Standard Flywheeling 13
THERMAL MODEL Warehouse C air [J/K] T air [K] Heat Transfer (α) C food [J/K] T food [K] 14
THERMAL GRADIENTS 15
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•Lineage - Mira Loma, CA 19
OPTIMAL SCHEDULING Example Structure Example Demand Charges Flat $18,550 / MW On-Peak $18,920 / MW Mid-Peak $3,630 / MW 20
CONVEX OPTIMIZATION • Karmarkar (1986): algorithm using interior point method faster than simplex for sets with many vertices • Nesterov and Nemirovski (1994): class of linear barriers that guarantee convergence in P 21
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FLYWHEELING SOLUTION Energy Rate Temperature Setpoints Resulting Power Draw 23
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FINANCIAL RESULTS VOLUME FLYWHEEL DOORS RATES* $1.08MM $1.24MM COND. RATES VFDS VALVES 2016 2018 Pro Forma 2018 A $1.94MM $3.18MM $2.10MM 27
FLYWHEELING PATENT 28
THANK YOU 29
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