An Electricity Primer for Energy Economists: Basic EE to LMP Calculation

83 Pages Posted: 13 Feb 2013  

Richard M. Benjamin

Round Table Group

Date Written: February 12, 2013


This manuscript provides a technical primer for the energy economist wishing to study the optimal power flow problem and locational marginal pricing (LMPP), but, who like this paper's author, finds it difficult to simply plow through Schweppe et al. (1988). This work aims to provide the reader with sucient technical background to calculate power transfer distribution factors (PTDFs, or network shift factors) for a more complicated model than the simple 3-node model common to energy economics studies. The point of departure for this work is basic electrical engineering fundamentals. We start off Section 1.2 with a simple direct current (DC) circuit analysis, demonstrating Ohms law and Kirchhoffs laws. As these are captured by very basic equations, we quickly move on to alternating current (AC) analysis. Here, we spend quite a bit of effort manipulating fairly straightforward (i.e. sinusoidal) AC voltage equations to derive equations for average voltage, current, and power in an AC circuit. We delve next into phase angles, showing how electrical components such as inductors and capacitors bring voltage and current "out of phase." We then demonstrate both graphically and algebraically the effect of non-zero phase angles on resistance and power relations in an AC circuit. The goal of Section 1.2 is to familiarize the reader with concepts that economists and operations researchers generally take for granted, but are quite foreign to those of us who are self-taught.

Suggested Citation

Benjamin, Richard M., An Electricity Primer for Energy Economists: Basic EE to LMP Calculation (February 12, 2013). USAEE Working Paper No. 13-113. Available at SSRN: or

Richard M. Benjamin (Contact Author)

Round Table Group ( email )

United States
410-672-5319 (Phone)

Paper statistics

Abstract Views