@article {7225, title = {Constructing transmission line current constraints for the IEEE and polish systems}, journal = {Energy Systems}, volume = {8}, year = {2017}, pages = {199-216}, publisher = {Springer Berlin Heidelberg}, isbn = {1868-3967}, author = {Lipka, Paula A and Campaigne, Clay and Pirnia, Mehrdad and O{\textquoteright}Neill, Richard P and Oren, Shmuel S} } @book {7200, title = {Engineering Economics: Financial Decision Making for Engineers }, year = {2016}, pages = {552}, publisher = {Pearson Canada}, organization = {Pearson Canada}, edition = {6}, author = {Niall M. Fraser and Elizabeth M. Jewkes and Mehrdad Pirnia} } @proceedings {7220, title = {An affine arithmetic approach for microgrid dispatch with variable generation and load}, journal = {Power Systems Computation Conference (PSCC), 2014}, year = {2014}, pages = {1-8}, publisher = {IEEE}, author = {Pirnia, Mehrdad and Canizares, Claudio and Bhattacharya, Kankar and Vaccaro, Alfredo} } @conference {pirnia2014affine, title = {An affine arithmetic approach for microgrid dispatch with variable generation and load}, booktitle = {Power Systems Computation Conference (PSCC), 2014}, year = {2014}, pages = {1{\textendash}8}, publisher = {IEEE}, organization = {IEEE}, author = {Pirnia, Mehrdad and Canizares, Claudio and Bhattacharya, Kankar and Vaccaro, Alfredo} } @conference {pirnia2014affine, title = {An affine arithmetic approach for microgrid dispatch with variable generation and load}, booktitle = {2014 Power Systems Computation Conference}, year = {2014}, pages = {1{\textendash}8}, publisher = {IEEE}, organization = {IEEE}, author = {Pirnia, Mehrdad and Canizares, Claudio and Bhattacharya, Kankar and Vaccaro, Alfredo} } @article {7219, title = {A novel affine arithmetic method to solve optimal power flow problems with uncertainties}, journal = {IEEE Transactions on Power Systems}, volume = {29}, year = {2014}, pages = {2775-2783}, publisher = {IEEE}, isbn = {0885-8950}, author = {Pirnia, Mehrdad and Ca{\~n}izares, Claudio A and Bhattacharya, Kankar and Vaccaro, Alfredo} } @article {pirnia2014novel, title = {A novel affine arithmetic method to solve optimal power flow problems with uncertainties}, journal = {IEEE Transactions on Power Systems}, volume = {29}, number = {6}, year = {2014}, pages = {2775{\textendash}2783}, publisher = {IEEE}, author = {Pirnia, Mehrdad and Ca{\~n}izares, Claudio A and Bhattacharya, Kankar and Vaccaro, Alfredo} } @article {7153, title = {A novel affine arithmetic method to solve optimal power flow problems with uncertainties}, journal = {IEEE Transactions on Power Systems}, volume = {29}, year = {2014}, pages = {2775-2783}, abstract = {

An affine arithmetic (AA) method is proposed in this paper to solve the optimal power flow (OPF) problem with uncertain generation sources. In the AA-based OPF problem, all the state and control variables are treated in affine form, comprising a center value and the corresponding noise magnitudes, to represent forecast, model error, and other sources of uncertainty without the need to assume a probability density function (pdf). The proposed AA-based OPF problem is used to determine the operating margins of the thermal generators in systems with uncertain wind and solar generation dispatch. The AA-based approach is benchmarked against Monte Carlo simulation (MCS) intervals in order to determine its effectiveness. The proposed technique is tested and demonstrated on the IEEE 30-bus system and also a real 1211-bus European system.

}, author = {Mehrdad Pirnia and Claudio A Ca{\~n}izares and Kankar Bhattacharya and Alfredo Vaccaro} } @article {pirnia2014stochastic, title = {Stochastic modeling and analysis of power systems with intermittent energy sources}, year = {2014}, publisher = {University of Waterloo}, author = {Pirnia, Mehrdad} } @article {7218, title = {Stochastic modeling and analysis of power systems with intermittent energy sources}, year = {2014}, publisher = {University of Waterloo}, author = {Pirnia, Mehrdad} } @article {7222, title = {A computational study of linear approximations to the convex constraints in the iterative linear IV-ACOPF formulation}, journal = {Federal Energy Regulatory Commission}, year = {2013}, author = {Pirnia, Mehrdad and O{\textquoteright}Neill, Richard P and Lipka, Paula A and Campaigne, Clay} } @article {7223, title = {Optimal Power Flow Paper 10}, year = {2013}, author = {Lipka, Paula A and O{\textquoteright}Neill, Richard P and Oren, Shmuel S and Castillo, Anya and Pirnia, Mehrdad and Campaigne, Clay} } @article {7224, title = {Optimal transmission switching using the IV-ACOPF linearization}, journal = {FERC staff technical paper}, year = {2013}, author = {Lipka, Paula A and O{\textquoteright}Neill, Richard P and Oren, Shmuel S and Castillo, Anya and Pirnia, Mehrdad and Campaigne, Clay} } @article {pirnia2013revisiting, title = {Revisiting the power flow problem based on a mixed complementarity formulation approach}, journal = {IET Generation, Transmission \& Distribution}, volume = {7}, number = {11}, year = {2013}, pages = {1194{\textendash}1201}, publisher = {IET Digital Library}, author = {Pirnia, Mehrdad and Ca{\~n}izares, Claudio A and Bhattacharya, Kankar} } @article {7152, title = {Revisiting the power flow problem based on a mixed complementarity formulation approach}, journal = {IET Generation, Transmission \& Distribution}, volume = {7}, year = {2013}, pages = {1194-1201}, abstract = {

A novel optimisation-based model of the power flow (PF) problem is proposed using complementarity conditions to properly represent generator bus voltage controls, including reactive power limits and voltage recovery processes. This model is then used to prove that the Newton{\textendash}Raphson (NR) solution method for solving the PF problem is basically a step of the generalised reduced gradient algorithm applied to the proposed optimisation problem. To test the accuracy, flexibility and the numerical robustness of the proposed model, the IEEE 14-bus, 30-bus, 57-bus, 118-bus and 300-bus test systems and large real 1211-bus and 2975-bus systems are used, benchmarking the results of the proposed PF model against the standard NR method. It is shown that the proposed model yields adequate solutions, even in the case when the NR method fails to converge.

}, author = {M. Pirnia and C. Canizares and K. Bhattacharya} } @article {7217, title = {Revisiting the power flow problem based on a mixed complementarity formulation approach}, journal = {IET Generation, Transmission \& Distribution}, volume = {7}, year = {2013}, pages = {1194-1201}, publisher = {IET Digital Library}, isbn = {1751-8695}, author = {Pirnia, Mehrdad and Ca{\~n}izares, Claudio A and Bhattacharya, Kankar} } @article {7221, title = {Testing step-size limits for solving the linearized current voltage AC optimal power flow}, journal = {FERC Staff Technical Paper. http://www. ferc. gov/industries/electric/indus-act/market-planning/opfpapers/acopf-9-stepsizelimits-iliv-acopf. pdf}, year = {2013}, author = {Campaigne, Clay and Lipka, Paula A and Pirnia, Mehrdad and O{\textquoteright}Neill, Richard P and Oren, Shmuel} } @proceedings {7216, title = {An affine arithmetic method to solve the stochastic power flow problem based on a mixed complementarity formulation}, journal = {Power and Energy Society General Meeting, 2012 IEEE}, year = {2012}, pages = {1-7}, publisher = {IEEE}, isbn = {1467327298}, author = {Pirnia, Mehrdad and Ca{\~n}izares, Claudio A and Bhattacharya, Kankar and Vaccaro, Alfredo} } @conference {pirnia2012affine, title = {An affine arithmetic method to solve the stochastic power flow problem based on a mixed complementarity formulation}, booktitle = {2012 IEEE Power and Energy Society General Meeting}, year = {2012}, pages = {1{\textendash}7}, publisher = {IEEE}, organization = {IEEE}, author = {Pirnia, Mehrdad and Ca{\~n}izares, Claudio A and Bhattacharya, Kankar and Vaccaro, Alfredo} } @conference {pirnia2012affine, title = {An affine arithmetic method to solve the stochastic power flow problem based on a mixed complementarity formulation}, booktitle = {Power and Energy Society General Meeting, 2012 IEEE}, year = {2012}, pages = {1{\textendash}7}, publisher = {IEEE}, organization = {IEEE}, author = {Pirnia, Mehrdad and Ca{\~n}izares, Claudio A and Bhattacharya, Kankar and Vaccaro, Alfredo} } @article {7154, title = {Ontario feed-in-tariffs: System planning implications and impacts on social welfare}, journal = {The Electricity Journal}, volume = {24}, year = {2011}, pages = {18-28}, abstract = {

An analysis of the policy implications of Ontario{\textquoteright}s FITs on overall societal welfare suggests that, if unbounded, existing FIT tariffs would have a large negative impact on consumer welfare, with an overall net loss on total social welfare. Negative impacts could be minimized by controlling the quantities.

}, author = {Mehrdad Pirnia and Jatin Nathwani and David Fuller} } @article {pirnia2011ontario, title = {Ontario feed-in-tariffs: System planning implications and impacts on social welfare}, journal = {The Electricity Journal}, volume = {24}, number = {8}, year = {2011}, pages = {18{\textendash}28}, publisher = {Elsevier}, author = {Pirnia, Mehrdad and Nathwani, Jatin and Fuller, David} } @article {7215, title = {Ontario feed-in-tariffs: System planning implications and impacts on social welfare}, journal = {The Electricity Journal}, volume = {24}, year = {2011}, pages = {18-28}, publisher = {Elsevier}, isbn = {1040-6190}, author = {Pirnia, Mehrdad and Nathwani, Jatin and Fuller, David} } @conference {pirnia2010mixed, title = {A mixed integer nonlinear program for electric generation expansion with energy and capacity pricing}, booktitle = {Power and Energy Society General Meeting, 2010 IEEE}, year = {2010}, pages = {1{\textendash}7}, publisher = {IEEE}, organization = {IEEE}, author = {Pirnia, Mehrdad and Fuller, J David} } @conference {pirnia2010mixed, title = {A mixed integer nonlinear program for electric generation expansion with energy and capacity pricing}, booktitle = {IEEE PES General Meeting}, year = {2010}, pages = {1{\textendash}7}, publisher = {IEEE}, organization = {IEEE}, author = {Pirnia, Mehrdad and Fuller, J David} } @proceedings {7214, title = {A mixed integer nonlinear program for electric generation expansion with energy and capacity pricing}, journal = {Power and Energy Society General Meeting, 2010 IEEE}, year = {2010}, pages = {1-7}, publisher = {IEEE}, isbn = {1424465516}, author = {Pirnia, Mehrdad and Fuller, J David} } @mastersthesis {7213, title = {Capacity Pricing in Electric Generation Expansion}, year = {2009}, school = {University of Waterloo}, author = {Pirnia, Mehrdad} } @mastersthesis {pirnia2009capacity, title = {Capacity Pricing in Electric Generation Expansion}, year = {2009}, school = {University of Waterloo}, type = {masters}, author = {Pirnia, Mehrdad} }