Equilibrium Modeling of Combined Heat and Power Deployment Anand Govindarajan Seth Blumsack Pennsylvania State University USAEE Conference, Anchorage, 29 July

Problem Statement Assess the economic potential for Combined Heat and Power (CHP) in electricity-market equilibrium framework, accounting for the impact that CHP adoption will have on electricity prices 2

Some Motivation U.S. utilization of CHP is low but technical potential is vast Utilization pathway for shale-gas supplies 3 Current CHP capacity Technical potential for additional CHP

Basic CHP Economics Increased efficiency of heat + electricity (adsorptive chiller can add cooling) Avoided electricity purchases Other benefits : reduced emissions, reliability benefits 4

Technical vs Economic potential CHP investment reduces demand for grid provided power, lowering market price At some point, incremental CHP units become uneconomical The economic potential maybe different(less) than the technical potential 5

Equilibrium CHP Modeling 6 Increase in number of CHP units Decrease in zonal electricty demand Decrease in wholesale electricity prices Marginal Savings from avoided electrcity purchase costs decreases Marginal NPV decreases

Philadelphia Case Study 7 We use Philadelphia, PA as a case study for our equilibrium modeling High technical potential, high electricity prices Transmission constrained

Supply curve modeling (Sahraei-Ardakani et al 2012) 8 We want to identify: 1.Thresholds where the marginal technology changes; 2.The slope of each portion of the locational dispatch curve.

CHP Load Profiles 9 Building-integrated CHP (BCHP) tool used to generate profiles for eight building types Electric load- following (FEL) and thermal load- following (FTL)

Method 10

Energy Savings from Incremental CHP Investment in Philadelphia 11 Assumes $4/mmBTU natural gas price

Energy Savings from Incremental CHP Investment in Philadelphia 12 Assumes $8/mmBTU natural gas price

NPV of Incremental CHP ($4 gas) 13

NPV of Incremental CHP ($8 gas) 14

Conclusion: Are High Gas Prices Good for CHP? 15 $4/mmBTU Gas $8/mmBTU Gas Higher gas prices may mean more economic opportunities for CHP, otherwise economic potential is perhaps 1/3 of technical potential. Disproportionate impacts on electricity prices relative to operational costs FTL maybe a more economical operational strategy when fuel prices are low

Thank You! Anand Govindarajan 16

Locational Marginal Cost Curves 17

Life is Heaven When Gas is $7 18 Price separation between fuels (on $/MBTU basis) means that thresholds are easy to identify. Note: Other fuel prices – Coal $2/mmBTU; Oil $20/mmBTU

Life Ain’t a Breeze When Gas is $3 19 When relative fuel price differences are small, a mix of fuels/technologies can effectively be “on the margin.” Note: Other fuel prices – Coal $2/mmBTU; Oil $20/mmBTU

Estimation Procedure We want to minimize the SSE of: 20 CMA-ES OLS Regression Regression Parameters / SSE Generation i-1 Classification parameters Generation i 1.Choose initial parameters φ 2.Find associated slope parameters ω using least squares 3.Given estimates for ω and the regression SSE, choose a new set of threshold parameters φ* 4.Repeat until convergence.

Marginal Fuel Results 21

Estimating Threshold Functions 22 Thresholds are estimated using a fuzzy logic approach to capture multiple marginal fuels: 1.Relative fuel price threshold for having the fuzzy gap 2.Fuzzy gap width coefficient

Example Result 23 Wide band where gas/coal are jointly setting prices. More defined threshold between gas and oil.

Supply Curve Modeling Philadelphia is transmission-constrained, so the available capacity of a generator is not relevant – only the amount of electricity that is deliverable to a location in the network. Power Transfer Distribution Factor (PTDF): 24 G1 k G2

Piecewise Supply Curve Estimation 25 Threshold indicator function Slope of the relevant portion of the supply curve