This supplemental appendix accompanies "Optimal Electricity Distribution Pricing under Risk and High Photovoltaics Penetration" by the same authors, available at:http://ssrn.com/abstract=3701852. This appendix contains the proof of theorems omitted in the main text

We model a hierarchical Stackelberg game in a competitive power market under high behind-the- meter Photovoltaics (PV) penetration and demand-side uncertainty, with emphasis on the feedback loop between distributed generation via PV and power prices. The Stackelberg leader, who is the government...

Energy companies with commitments to meet customers' daily electricity demands face the problem of hedging load and price risk. We propose a joint model for load and price dynamics, which is motivated by the goal of facilitating optimal hedging decisions, while also intuitively capturing the key...