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Form 836 (7/06) LA-UR- Approved for public release; distribution is unlimited. Los Alamos National Laboratory, an affirmative action/equal opportunity employer, is operated by the Los Alamos National Security, LLC for the National Nuclear Security Administration of the U.S. Department of Energy under contract DE-AC52-06NA25396. By acceptance of this article, the publisher recognizes that the U.S. Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or to allow others to do so, for U.S. Government purposes. Los Alamos National Laboratory requests that the publisher identify this article as work performed under the auspices of the U.S. Department of Energy. Los Alamos National Laboratory strongly supports academic freedom and a researcher’s right to publish; as an institution, however, the Laboratory does not endorse the viewpoint of a publication or guarantee its technical correctness. Title: Author(s): Intended for: 09-03164 Electric Power Transmission Network Design for Wind Generation in the Western United States: Algorithms, Methodology, and Analysis Loren Toole, Matthew Fair, Alan Berscheid, and Russell Bent 2010 IEEE Power Engineering Society Transmission and Distribution Conference & Exposition

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Page 1: LA-UR- 09-03164

Form 836 (7/06)

LA-UR- Approved for public release; distribution is unlimited.

Los Alamos National Laboratory, an affirmative action/equal opportunity employer, is operated by the Los Alamos National Security, LLC for the National Nuclear Security Administration of the U.S. Department of Energy under contract DE-AC52-06NA25396. By acceptance of this article, the publisher recognizes that the U.S. Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or to allow others to do so, for U.S. Government purposes. Los Alamos National Laboratory requests that the publisher identify this article as work performed under the auspices of the U.S. Department of Energy. Los Alamos National Laboratory strongly supports academic freedom and a researcher’s right to publish; as an institution, however, the Laboratory does not endorse the viewpoint of a publication or guarantee its technical correctness.

Title:

Author(s):

Intended for:

09-03164

Electric Power Transmission Network Design for WindGeneration in the Western United States: Algorithms,Methodology, and Analysis

Loren Toole, Matthew Fair, Alan Berscheid, and Russell Bent

2010 IEEE Power Engineering Society Transmissionand Distribution Conference & Exposition

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1

Electric Power Transmission Network Designfor Wind Generation in the Western United

States: Algorithms, Methodology, and AnalysisG. Loren Toole, Matthew Fair, Alan Berscheid, and Russell Bent

Abstract—The current electric power grid is a resultof incremental growth over the past 100 years underassumptions that a grid provides reliable and controllablegeneration of energy cheaply and with limited environmen-tal impact. Moving into the twenty-first century, many ofthese assumptions will no longer hold; the existing grid isill-equipped to handle the new requirements that it is beingsubjected to. This paper presents a novel hybridizationalgorithm to upgrade the existing electric power network tofeasibly achieve future renewable energy generation goals.The algorithm was integrated with state-of-the-art electricpower analysis approaches to produce feasible transmissionnetworks to accommodate 20% wind power by 2030 goals.

Index Terms—generation expansion planning, transmis-sion expansion planning, simulation optimization, windgeneration

I. INTRODUCTION

Recent years have seen interest in the “smart grid”[1] (also known as green grid [2] or self-healing grid[3]) grow. This is evidenced by statements in referencessuch as [4] that indicate the smart grid has the op-portunity to reduce current electric power consumptionby up to 4.3% and the large number of recent large-scale projects including (but not exclusively) Thyme[5], IntelliGrid [6], and the Smart Grid Maturity Model[7]. A common thread in many of these projects is afocus on the hardware, standardization, and social issuesrelated to implementing the smart grid. Comparativelyless work has studied the information science aspects ofthe smart grid, i.e. developing the information technologyof an adaptive system that robustly and efficiently routespower from generators to consumers. Under this problemstatement one of the important challenges that arises isplanning and designing the physical structure of the gridto achieve an adaptive system. This challenge is readilyapparent under the assumption that renewable genera-tion, such as wind and solar, will play an increasing rolein the generation of power. Under this scenario, the needfor new grid design arises for two reasons. First, the areas

G. Loren Toole, Matthew Fair, Alan Berscheid, and Russell Bentare with Los Alamos National Laboratory

with highest renewable energy production potential areoften in transmission-deficient areas of the existing grid.Second, the intermittent nature of renewable generationplaces a higher premium on building redundancy into thegrid for increased reliability. Simply stated, we are con-cerned with how to optimally place and build renewablegeneration and upgrade the existing transmission systemthrough balancing of economic costs, reliability, androbustness. The purpose of this paper is two-fold: firstto survey existing solutions to this problem and second,to present our results of a promising new direction forsolving this problem. The key contributions of this paperare as follows:

1) A feasible transmission network for the westernU.S. based on renewable generation profiles of [8].

2) A novel algorithm for tightly hybridizing opti-mization and simulation to upgrade transmissionsystems.

3) An empirical evaluation of the feasibility of thesolutions to the generation expansion planningproblem provided by the linear approximation al-gorithms of [9],[10].

II. PROBLEM DESCRIPTION AND ANALYSIS OFWINDS

For our purposes, an electric power grid is modeledas a graph, G, that consists of nodes, N , and edges,E . N represents physical locations in the power grid in-cluding generators,NGEN , (producers of electric power),substations, NSUB (subsidiary stations where voltageconversions and switching occur), and loads, NLOAD(consumers of electric power). E represents physicalconnections between the nodes including power lines andtransformers. The goal of an electric power network is todeliver electric power fromNGEN toNLOAD at minimalcost (where cost is a function of power generation andpower loss due to resistance on the power lines), subjectto the physical limitations of the power grid. As will bediscussed later, these constraints are a source of many ofthe difficulties inherent in transmission planning. There

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minimize∑

i∈NGENpici +

∑i∈NGEN ,j∈N yi,j li,j

subject to∑

i∈NGENpi ≥ P (1)

∀i∈NGEN pi ≤ P+i (2)

∀i∈NGEN pi ≥ P−i (3)∀i∈N ,j∈N fi,j ≤ yi,j (4)∀i∈NGEN

∑j∈N fi,j = −pi (5)

∀i∈NLOAD∑

j∈N fi,j = di (6)∀i∈N\(NLOAD∪NGEN )

∑j∈N fi,j = 0 (7)

∀i∈N ,j∈N fi,j = −fj,i (8)

Fig. 1. WinDS Optimization Model

is considerably more detail about the structure of thepower grid that is beyond the scope of this paper.

The problem of Generation Expansion Planning (GEP)is that of where to construct new NGEN and the problemof Transmission Network Expansion Planning (TNEP)is that of how to build and upgrade E to accommodatechanges to NGEN and NLOAD. Both of these problemshave received considerable attention over the last thirtyyears, however it has only been recently tied to thechallenges of incorporating large amounts of renewablegeneration. The most advanced comprehensive work inthis area is the WinDS project [8],[11] at the NationalRenewable Energy Laboratory (NREL) in Colorado.WinDS models the problem as a linear program (forcomputational tractability) and assumes direct connectiv-ity from renewable sites to the existing network resultsin a physically consistent system. Figure 1 presents theintuition behind the model of [9],[10] in an abstract andsimplified form (the full model has a considerably morecomplicated economic model and incorporates windspeed scenarios to model wind generation uncertainty).

In Figure 1, NGEN represents the set of possiblegeneration sites in G, N represents the set of nodes inG, pi is a decision variable on the amount of generationto place at site i, yi,j is the amount of capacity toadd between sites i and j, ci is the cost of buildinggeneration at site i, li,j is the cost of adding capacitybetween site i and site j, di is the demand at a load,and fi,j is a decision variable for the amount of currentto place on edge {i, j}. The first constraint ensuresthat the total amount of generation produced is greaterthan some threshold P . The second constraint enforcesa maximum generation at each generation site basedon NREL’s renewable potential maps [12]. The thirdconstraint enforces a minimal amount of generation ateach site in order to model existing generation. Thefourth constraint enforces capacities for flow on eachedge in E . The fifth constraint ensures that flow fromgenerator nodes is equal to the actual production at thosenodes. The sixth constraint ensures each load is receiving

Region Demand MW Non-Wind MW Wind MW70 670 0 164571 770 0 68472 40 0 073 830 6276 074 705 0 6831

Total 3015 6276 9160

TABLE IWINDS 2030 FORECASTED VALUES FOR DEMAND/SUPPLY IN

WYOMING (BY WIND REGION)

sufficient power. The seventh constraint ensures that theaccumulated current at all other nodes is 0. The finalconstraint controls the bi-directionality of each edge.This formulation approximates a real (DC) power flowmodel and Kirchoff’s first law on power flows (currentconservation).Limitations of WinDS In short, the WinDS optimizationmodel features detailed representations of major gener-ation and consumption elements. As seen from the opti-mization model in Figure 1, WinDS lacks correspondingdetailed representations of transmission elements. Thetransmission elements are notionally represented and asa result, WinDS only proposes new dedicated (longdistance) transmission lines. However, dedicated trans-mission lines are often uneconomical (especially overlong distances) as they fail to utilize existing reservecapacity in system and often create situations whereportions of the grid are severely underutilized. Despiteexpansion of the network to 2030 conditions, most oper-able elements will be linked to large amounts of “legacy”transmission capacity and constrained by the historicplacement of centralized generating plants. Indeed, evenif construction of long distance transmission lines occurs,the lines may not be used in the expected fashion dueto legacy conditions. Finally, as the WinDS optimizationmodel does not include elements of reactive (AC) power,WinDS may suggest transmission expansions that arephysically infeasible.

We now describe examples where the lack of detailedtransmission representations results in faulty solutionsor unexpected behavior. In WinDS, the 14-state west-ern electric operating region (WECC) was subdividedinto 95 regions corresponding to areas of high windpotential. Wind regions serve as the basic unit of spatialresolution for all WinDS simulations. Wyoming wassubdivided into five wind regions (70-74). For reference,forecasted demand and supply values utilized by WinDSfor Wyoming are listed in Table I. Table I indicatesone wind region in Wyoming will install non-windgenerating capacity by 2030, while three regions willinstall wind generating capacity to utilize large availablewind resources. Because electric supply will significantlyexceed Wyoming’s demand by a large ratio, a net export

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Fig. 2. Power flow 2030 simulated transmission elements in Wyomingand Surrounding Areas.

flow pattern is produced. The model resolves this exportcondition by building new long-distance lines to connectdirectly southeastern Wyoming to Denver and Salt LakeCity to satisfy their demand. We used reference [13]to estimate network performance including line flows,voltage adequacy and control stability for both DC andAC power flows. Our result provides important insightsinto problems incompletely addressed by WinDS.

In Figure 2, “% Total Export” indicates directionalflows leaving Wyoming towards adjacent load centers.The meshed nature of existing network topology sug-gests wind energy from Wyoming will be transmittedvia many intervening circuits to different load centers.This solution provides greater circuit redundancy andincreased levels of operational reliability than dedicatedcircuits can provide. In addition, this solution conformsto design methods used commonly and accepted by util-ity planners. More comprehensive design methods thatoptimize power flows (and reduce lost energy) over longdistances are needed to support dedicated transmissionlines. This solution suggests that the expected behaviorof power flows in the WinDS model (only Denver andSalt Lake City receiving power) will not occur and thiscould lead to undesirable behavior.

Indeed, our initial attempts at directly modeling thesetransmission systems exhibited such undesirable behav-iors. First, a visualization of power flows near Denver inFigure 3 indicate several off-normal conditions, notably“loop back” where power sent to Denver is returnedto Wyoming. Loop back is often observed in heavilyloaded meshed networks near load centers; it preventsefficient delivery of incoming power and arises fromuneven distribution of higher and lower capacity flowpaths that have not been optimized. In this case, 1,635MW of power flows toward Denver over two circuitsfrom Wyoming, while 305 MW flows back. A secondundesirable behavior we discovered is shown in Figure4 where new dedictated transmission is not sufficient for

Fig. 3. Power flow 2030 simulated flow detail near Denver.

Fig. 4. Unstable Grid Example in New Mexico

handling the new wind generated energy in eastern NewMexico that was suggested by WinDS. In this scenario,the transmission solution results in a high number ofphysical violations (voltage collapse and line overloads).Other Models It is important to note that WinDS is notthe only model for optimally placing renewable (or othergeneration). Other work here typically focuses on thepure GEP problem with linear (or no) approximations ofthe transmission requirements or a pure TNEP with fixedgeneration assumptions for computa Excellent surveys in[14], [15], [16], [17] provide overviews of this work. Ingeneral, [14] confirms that most approaches do not fullyaccount for the transmission requirements of buildingnew generation due to the non-linearities in the powerflow equations.

More recently, reference [18] considers transmissionplanning for DC power flows (similar to that of WinDS)for the GEP in the context of a game theory framework

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OPTIMIZENETWORKDESIGN(N , E)1 violations← S(NGEN ,N , E);2 while |violations| > 03 do l← CHOOSEEDGE(violations);4 E ← (E ∪ CALCULATENEWLINEPROPERTIES(l)) \ l;5 violations← S(NGEN ,N , E);6 return y;

CHOOSEEDGE(violations)1 return argmax({i, j} ∈ violations)fi,j − yi,j ;

CALCULATENEWLINEPROPERTIES(l)1 if UPGRADEEXISTS(l)2 then return UPGRADE(l);3 else return l ∪ l;

Fig. 5. Abstract Network Design Optimization Algorithmfor determining the best generation expansion. Reference[19],[20] considers the tradeoffs between different objec-tive functions (cost, emissions, etc.) in a linear model ofthe GEP problem and suggests that transmission topol-ogy planning in conjunction with the GEP is a topic offuture work. Relevant work on the TNEP is described in[21], [22], [23] which focuses on transmission planningproblems for Brazil. Their approach is similar to ourapproach (that will be discussed in the next section) inthat they explore modifications to the transmission net-work topology using search techniques such as simulatedannealing. They differ from our approach in that they usea DC power flow model to evaluate candidate solutionsand do not explore GEP aspects. [24] considers a TNEPfor an objective focused on minimizing coronoa powerloss. They capture some aspects of AC power flow in thesense they are calculating power losses based on voltage,but the flows are still modeled as DC. Their approach isto iterate on an infeasible solution by adding lines untilthe DC flows become feasible. [25] looks at heuristicapproaches for solving the TNEP. The main result is thatit is important to add multiple lines at the same time toimprove the performance of heuristics.

III. ALGORITHM

We now describe our technique for overcoming thelimitations of the WinDS model by directly incorpo-rating the complex aspects associated with transmissionmodeling, i.e. the non-linear constraints associated withAC power. While there exist some optimization frame-works, such as constraint programming [26] and localsearch [27],[28] that can model non-linearities throughappropriate expressions of constraints and objectives,such frameworks fail to utilize decades of simulationscience that model the complex behavior of electricpower systems [13], in particular those simulation sys-tems that model utility behavior and may or may nothave a pure mathematical formulation. This observationsuggests a fundamental and interesting basic science

Fig. 6. Grid Reinforcement

problem: hybridization approaches for combining thestrengths of optimization and simulation effectively ormore precisely: how can traditional optimization ap-proaches exploit the information contained in simula-tions? Hybridization of optimization approaches is anexciting idea from the operations research communityas such approaches have been used to find solutionsto previously unsolved problems [29],[30],[31]. Inter-estingly, general approaches for hybridizing simulationand optimization are relatively new within the literature(last 10-15 years); see [32],[33],[34],[35] for a fewrecent examples. Simulation has mainly been used asa method for optimization, as opposed to being used inconjunction with other optimization approaches. Existinghybridization approaches use simulation purely as a wayto evaluate the feasibility or optimality of a solution[34],[36] or to evaluate policies [37]. Rarely are theresults of the simulation used to help guide the searchprocedure within the optimization itself [36],[38]. Thealgorithm described here is a step in the direction ofmore tightly coupled optimization and simulation. Itadopts a heuristic that uses simulation results to choosepromising transmission expansions. This approach hasguided the discovery of feasible infrastructure networksfor adding 20% wind generation the U.S. electric powergrid starting from the solutions posed by [8].

The key idea behind the approach is to grant thealgorithm access to a black box S that simulates anelectric power network (in this specific case S is anAC power flow solver [13]). Abstractly, S is expressedas a constraint in the form |S(NGEN ,N , E)| ≤ 0where S(NGEN ,N , E) is a function that returns a setof physical violations. For the problems of [8], NGEN isfixed. The overall structure of the algorithm appears inFigure 5.

The inputs to this algorithm are the N and E of aninitial grid configuration. Line 1 calculates the set ofviolations for the initial choices of NGEN and E . Line 3chooses a violation to resolve. Line 3 is implemented by

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Fig. 7. Reinforcement options: a) Line shunts: capacitors, inductors.b) Line branches: multi-conductor lines or dual circuitschoosing the worst line overload (worst voltage conditionif no overloads exist) from the set of violations (functionCHOOSEEDGE). Line 4 calculates a new line propertyfrom a discrete set of possible line upgrades. Finally,line 5 simulates the new network. Lines 3-5 are repeateduntil all violations are eliminated and line 6 returns theE that achieves a feasible network.

Figures 6 and 7 provide some intuition as to the im-plementation of CALCULATENEWLINEPROPERTIES. Inthis example, CALCULATENEWLINEPROPERTIES mustoperate on violations described in Figure 6 (a volt-age condition and an overload). CALCULATENEWLINE-PROPERTIES alleviates the problems by upgrading oneline with shunts and adding additional capacity throughthe construction of an extra transmission line as seen inFigure 7.

IV. EXPERIMENTAL SETTING

We now describe the experimental setting and processfor which the algorithm was utilized. The goal is toobtain a feasible electric power transmission networkfor WinDS model of 2030 demand and generation. Theoverall process is described in Figure 8. We started withthe Federal Energy Regulatory Commission (FERC) 715power flow model for the year 2016, the latest yearfor which utility projections are publicly filed. Thisrepresents a feasible starting point for the WinDS 2030model and is known to have sufficient transmissioncapacity to route all the necessary power. The 2016F715 model was adapted to 2030 WinDS projections byincreasing all generating unit capacities and substationdemands by a constant factor.

The resulting model represented the generation capac-ity and demand projected by WinDS at an aggregatelevel, thereby verifying some of the assumptions of theWinDS projections. Our closer inspection of the twomodels discovered that WinDS and F715 models hadvery large spatial pattern discrepancies for the projectedgrowth that required reconciliation. Figure 9 illustratethese discrepancies. This required us to spatially real-locate both supply and demand to achieve the WinDS

Fig. 8. Grid Modeling Process: Manual and automated steps requiredfor assembly of a solvable grid model for the WinDS scenarios

Fig. 9. WinDS vs WECC Generation and Demand

growth models. The initial F715 scaled model for 2030was solvable by [13], albeit with 2,215 line overloads.The violations resulted from inadequate transmissioncapacity to meet the increased demand. We similarlyattempted to solve the original WinDS demand andgeneration spatial allocations, however, this configura-tion resulted in numerical instabilities that [13] wasunable to resolve. Thus, we chose to initially alleviatethe constraint violations of the F715 scaled model andincrementally reallocate supply and demand to transi-tion to the WinDS model to prevent the model frombeing numerically de-stabilized. Small spatial changesin demand and generation were introduced in two-yearmodeling steps (a total of six steps).

After reallocation the F715 model approximately con-formed to WinDS projections in 2030 (some WinDSprojections in California introduced such large numericalinstabilities into the flow equations that we had to

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Quantity GW Total GW Change # Regions FactorSubstation 208.5 -33.7 29 0.87Demand +33.7 66 1.28

Generating -153.4 28 .089Unit Capacity 244.1 0 14 1.00

+153.4 53 1.22

TABLE IIWINDS 2030 FORECASTS (BY WIND REGION)

.Component # Added Capacity Units

Lines 1,489 84,075 MVATransformers 795 56,474 MVA

Shunts 1,081 47,597 MVAR

TABLE IIIFINAL ALGORITHM COMPONENT ADDITIONS

approximate those values). Table II summarizes changesthat were applied by this process. The algorithm of sec-tion 3 was invoked to upgrade the transmission capacityof the scaled F715 model and the subsequent reallocationsteps. The function CALCULATENEWLINEPROPERTIESwas implemented by allowing three types of upgrades onE : adding transmission lines, adding transformers, andadding shunts. Transmission line capacity was increasedby adding one or more parallel elements to existingoverloaded lines. Transformer capacity was added byincreasing ratings on existing overloaded transformers.Line shunts (multi-phase line to ground capacitors orinductors) were added to correct abnormal voltage pro-files and to reduce reactive line flows as previouslydiscussed in Figure 7. When possible, voltage controllogic provided by [13] was used to correct voltageproblems in order to minimize our proposed upgrades.

Focusing on the western U.S. model, Table II (alsoFigure 9) shows a profile of how demand and generationwere reallocated across most of the 95 wind regions inthis area. A total of 153.4 GW of generation was movedfrom 28 wind regions and added to 53 wind regions. Nochange in generation was made to 14 wind regions. Thecolumn titled “Factor” lists a constant that was appliedto each wind region to accomplish reallocation.

V. ALGORITHM ANALYSIS

We next discuss the performance of the algorithmdescribed in section 3 as applied to the experimentalsetting of section 4. In order to move from the F715 2030model to a feasible WinDS 2030 model, the algorithmrequired over 3,000 iterations (roughly 100 CPU minuteson a Dell Precision 670 with a 3.2 GHz processor and2 GB of RAM running the Windows XP OperatingSystem) per iteration of the spatial adjustment process (atotal of 1800 iterations). It is important to note that theseresults do not include manual steps that were introducedwhen [13] could not resolve numerical instabilities in themodels. This intervention constituted many man hours(decreasing the number of manual interventions is a

Fig. 10. Algorithm Performance

topic of future work). Table III highlights the numberof components and capacities that were added to thepower system model to sufficient upgrade transmissioncapacity. As point of reference, the model originallycontained over 30,000 components (including 20,000lines, 6500 transformers, and 1300 Shunts).

Figure 10 provides a cross-section of the perfor-mance of the algorithm. This figure shows how netMW overload (

∑{i,j}∈E max(0, fi,j − yi,j)) in the

electric power network was reduced with the numberof iterations (blue line) for the last iteration of spatialreallocation. Roughly speaking, the net MW overloadis reduced linearly with the number of iterations. Inthis particular case, it was interesting to also plot thenumber of components (|violations|) that were in aviolation state during the execution of the algorithm (redline). It is apparent, that in order to reduce the function∑{i,j}∈Edges max(0, fi,j − yi,j), the algorithm must

increase |violations|, which seems counter-intuitive atfirst. Upon closer inspection of the networks that thealgorithm produced, we observed that when large over-loads were alleviated through an increase in transmissioncapacity, [13] recognized the increase in capacity and at-tempted to use it to more economically route power. Thisoften resulted in the creation of many small overloadson nearby transmission lines. For example, the algorithmmay add transmission capacity to alleviate an overload ofone hundred MW on a power line. The result of addingthis transmission capacity may remove the overload, butmay also create five MW overloads on five nearby powerlines due to the availability of increased capacity. As aresult, the net overload was reduced by 75 MW, but thenumber of violations was increased by 4. This providesfurther evidence why the multiple line addition approachof [25] can be effective.

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VI. CONCLUSION

This paper describes a critical problem that the electricpower industry will face over the coming years. Asenvironmental, economic, and political forces encouragethe industry to adopt and construct more renewablegeneration, the challenge of how and where to buildthis generation will become more pressing. Early workby [9], [10] clearly outlines many of these issues. Thispaper has built upon this prior work by demonstrating aprocess and algorithm to upgrade the existing electricpower network so that it can feasibly to achieve therenewable energy generation goals of [8]. The algorithmpresents a novel hybridization approach for integratingtraditional local search based optimization with electricpower simulation models that is able to resolve a modelwith over 2,500 components in an infeasible state.

In the future, we plan to develop new neighborhoodexploration procedures that exploit more of the infor-mation provided by the simulation (S) with a focus ondetermining heuristics to fully automate the constructionof a feasible network and eliminating the manual (cleanup) steps that are currently necessary. Once the completefeasibility algorithm is achieved we plan to embed theheuristics within a local search meta-heuristic to beginto efficiently search for the globally optimal feasiblesolution (similar to [23]). The next step will be to relaxthe new generation decisions of [8] in order to revisitthose choices and find better solutions that appropriatelybalance the cost to upgrade the transmission system withchoices of generation locations. Next, as we only exam-ined adding transmission lines, transformers, and shuntsto the network we also plan to exploring techniquesfor upgrading portions of the transmission system tohigher voltages to alleviate the overloads and voltageconditions. Finally, we will want to incorporate moreseasonal demand and generation profiles and contin-gency events within the optimization to more explicitlyexplore robustness considerations.

In addition, our approach generalizes naturally toa number of other grid planning problems. Decisionvariables can be added to modify the future networkconfiguration by applying criteria of interest to utilityplanners. This could include capital costs of addingtransmission capacity, environmental impacts of utilizingnew versus existing transmission corridors, siting newgenerators in conjunction with storage locations andother important variables. The approach may also beused for dynamic topology problems. Our algorithmcould optimally configure the power network in real-time due to changing conditions on the grid (changinggeneration pattern, changing demand, losing transmis-

sion equipment, etc.). This is especially important asmore renewable generation and better storage devicesare connected to the grid. The solution proposed heremay be used by applying it to the existing conditionsof the grid and only allowing the algorithms to modifyattributes for components that exist.Acknowledgments We thank the anonymous refereewhose valuable comments improved the clarity of thispresentation.

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G. Loren Toole G. Loren Toole serves as the task lead for severalinfrastructure projects at Los Alamos National Laboratory. He isresponsible for network interdependency and asset prioritizationstudies delivered to Federal customers including DOE, DHS andDOD. His engineering design, planning and construction experienceextends over 30 years, with specialized experience in electric utility

planning; renewables project development and design; applying state-of-the-art tools used by electric utilities for generation, transmissionand distribution analysis; development and startup of new technicalprograms supporting infrastructure assurance and homeland security.He earned degrees in Electrical Engineering (BS E.E. and MS E.E.)from the Georgia Institute of Technology and serves as an AdjunctProfessor, University of Missouri College of Engineering (Columbia).

Matthew Fair Matthew Fair is a computer scientist in theSpace and Remote Sensing Sciences Group at Los Alamos NationalLaboratory. His area of expertise is in real-time image data processing,multi-view computer vision, structure from motion, real-time parallelrendering, distributed system design, and real-time 3D computergraphic visualization. He is a former software team leader and wasthe CO-PI for Project AngelFire, a persistent surveillance program ofrecord for USAF and USMC. He has received multiple awards forhis contributions at Los Alamos including the Los Alamos NationalLaboratory Distinguished Performance Award.

Alan Berscheid Alan Berscheid is an electric power engineerand is a project leader in the Energy & Infrastructure Analysis Groupat Los Alamos National Laboratory. He is responsible for performingsystem studies on electric power system models to examine the effectsof various scenarios including technology implementation and climatechange on power systems. He studies how the future electric powernetwork could be configured and optimized under various future loadgrowth scenarios. Alan has also modeled interdependencies amongstvarious infrastructures including electric power, telecommunications,natural gas, and transportation systems. While with Booz Allen &Hamilton, Alan helped to develop infrastructure assurance plans forseveral government agencies. Alan received an M.S. in electricalengineering from the University of Minnesota and a B.S. in electricaland electronics engineering from North Dakota State University.

Russell Bent Russell Bent received his PhD in ComputerScience from Brown University in 2005 and is current a staff scientistat Los Alamos National Laboratory in the energy and infrastructureanalysis group serving as a capability research and development taskleader. Russell is responsible for development the IEISS project thatmodels and simulates energy and communications networks and theirinter-relationships, LogiSims, a project for resource management,planning, and distribution for disasters, and a project for optimizationand control theory for Smart Grid technologies. Russells publicationsinclude deterministic optimization, optimization under uncertainty,infrastructure modeling and simulation, constraint programming,algorithms, and simulation. A full list of his publications can befound at http://public.lanl.gov/rbent/.

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