Issue: 2019/Vol.29/No.4, Pages 41-52
A NOVEL DATA ENVELOPMENT ANALYSIS MODEL WITH COMPLEX NUMBERS. MEASURING THE EFFICIENCY OF GENERATORS IN STEAM POWER PLANTS
Mahmood Esfandiari
, Saber Saati, Mehrzad Navabakhsh, Kaveh Khalili-Damghani
Cite as: M. Esfandiari, S. Saati, M. Navabakhsh, K. Khalili-Damghani. A novel Data Envelopment Analysis model with complex numbers. Measuring the efficiency of generators in steam power plants. Operations Research and Decisions 2019: 29(4), 41-52. DOI 10.37190/ord190403
Abstract
The output of a generator in power plant is the electricity, and it consists of two parts, active and reactive power. These quantities are expressed as complex numbers in which the real part is the active power and the imaginary part is the reactive power. Reactive power plays an important role in an electricity network. Ignoring it will exclude a lot of information. With regard to the importance of the generators in power plants, surely, calculating the efficiency of these units is of great importance. Data Envelopment Analysis (DEA) is a nonparametric approach to measure the relative efficiency of Decision-Making Units (DMUs). Since the generators data are complex numbers, thus, if we the use classical DEA models in order to measure the efficiency of the generators in power plants, the reactive power cannot be considered, and the measurement is limited to the real number of electric power. In this paper, a new DEA model with complex numbers is developed in order to assess the performance of the power plant generators.
Keywords: Data Envelopment Analysis, power plant, power plant efficiency, complex numbers
Received: 2 July 2017 Accepted: 4 January 2020