a comprensive assessment of the evolution of the financial transmission rights

13
IEEE TRANSACTIONS ON POWER SYSTEMS, VOL. 23, NO. 4, NOVEMBER 2008 1783 A Comprehensive Assessment of the Evolution of Financial Transmission Rights V. Sarkar, Student Member, IEEE, and S. A. Khaparde, Senior Member, IEEE Abstract—Financial transmission rights (FTRs) are complemen- tary to the locational marginal pricing of energy. The basic aim of the FTR mechanism is to guard forward contracts from uncer- tain congestion charges. FTRs are also useful to individual gener- ators and loads for selling and buying power, respectively, at the prices of other locations. The concept has evolved, encompassing many features such as a simultaneous feasibility test, various ways to conduct auctions and allocations and secondary trading. FTRs also have a close relation to market power and transmission invest- ment. This paper reviews most of the landmark research papers on the evolution of the FTR concept. It reports a comprehensive assessment of various facets of FTRs and allied issues. Financial transmission rights and flowgate rights (FGRs) are compared. The concept of long-term FTRs is discussed. The paper also touches upon future proposals in this area. Index Terms—Allocation, auction, auction revenue right, finan- cial transmission right, flowgate right, market power, obligation, option, revenue adequacy, secondary trading, transmission invest- ment. NOMENCLATURE: Price of an FTR of th type. Path-branch sensitivity factor (or power transfer distribution factor), relating the path of the th obligation FTR to a certain line, for a particular network topology. Path-branch sensitivity factor, relating the path of the th option FTR to a certain line, for a particular network topology. Total number of offers (from generators) and bids (from loads and bilateral transactions) in the energy market. LMP at the th price node. LMP at the th price node minus LMP at the th price node. Number of rows in . Number of rows in . Total number of network capacity constraints in the day-ahead dispatch problem. Bid price related to the th FTR bid. Manuscript received May 22, 2007; revised June 08, 2008. First published August 29, 2008; current version published October 22, 2008. Paper no. TPWRS-00367-2007. The authors are with the Department of Electrical Engineering, In- dian Institute of Technology Bombay, Mumbai 400076, India (e-mail: [email protected]; [email protected]). Digital Object Identifier 10.1109/TPWRS.2008.2002182 Column vector containing the MW amounts of the base option FTRs. Column vector containing the MW amounts of the base obligation FTRs. diagonal matrix with equals to . constant matrix containing the loading factors of requested FTRs. constant matrix containing the loading factors of base FTRs. MW amount of an obligation FTR. MW amount of an option FTR. MW amount of a physical transaction. Column vector containing the offer and bid variables in the energy market. Parameter vector (column) representing the net nodal inelastic loads in the day-ahead market. Vector (column) of net nodal injections caused by the physical equivalents of active FTRs. Variable vector (column) signifying the net nodal injections caused by . Upper limit on . constant matrix that converts nodal injections into line flows. Variable vector (column) signifying the awarded amounts towards all the FTR bids. Variable vector (column) signifying the awarded amounts towards the obligation FTR bids. Variable vector (column) signifying the awarded amounts towards the option FTR bids. Parameter vector (column) representing the base amounts of all types of FTRs involved in the auction. Upper limit on . Parameter vector (column) representing the pre-existing (i.e., existing before the auction) amounts of all types of FTRs involved in the auction. Column vector containing the line capacities available in the day-ahead market. The forward capacity (as available in the day-ahead market) of a certain line. The reverse capacity (as available in the day-ahead market) of a certain line. 0885-8950/$25.00 © 2008 IEEE Authorized licensed use limited to: GOVERNMENT COLLEGE OF ENGINEERING. Downloaded on January 15, 2010 at 03:15 from IEEE Xplore. Restrictions apply.

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Page 1: A Comprensive Assessment of the Evolution of the Financial Transmission Rights

IEEE TRANSACTIONS ON POWER SYSTEMS, VOL. 23, NO. 4, NOVEMBER 2008 1783

A Comprehensive Assessment of the Evolutionof Financial Transmission Rights

V. Sarkar, Student Member, IEEE, and S. A. Khaparde, Senior Member, IEEE

Abstract—Financial transmission rights (FTRs) are complemen-tary to the locational marginal pricing of energy. The basic aimof the FTR mechanism is to guard forward contracts from uncer-tain congestion charges. FTRs are also useful to individual gener-ators and loads for selling and buying power, respectively, at theprices of other locations. The concept has evolved, encompassingmany features such as a simultaneous feasibility test, various waysto conduct auctions and allocations and secondary trading. FTRsalso have a close relation to market power and transmission invest-ment. This paper reviews most of the landmark research paperson the evolution of the FTR concept. It reports a comprehensiveassessment of various facets of FTRs and allied issues. Financialtransmission rights and flowgate rights (FGRs) are compared. Theconcept of long-term FTRs is discussed. The paper also touchesupon future proposals in this area.

Index Terms—Allocation, auction, auction revenue right, finan-cial transmission right, flowgate right, market power, obligation,option, revenue adequacy, secondary trading, transmission invest-ment.

NOMENCLATURE:

Price of an FTR of th type.

Path-branch sensitivity factor (or power transferdistribution factor), relating the path of the thobligation FTR to a certain line, for a particularnetwork topology.

Path-branch sensitivity factor, relating the path ofthe th option FTR to a certain line, for a particularnetwork topology.

Total number of offers (from generators) andbids (from loads and bilateral transactions) in theenergy market.

LMP at the th price node.

LMP at the th price node minus LMP at the thprice node.

Number of rows in .

Number of rows in .

Total number of network capacity constraints inthe day-ahead dispatch problem.

Bid price related to the th FTR bid.

Manuscript received May 22, 2007; revised June 08, 2008. First publishedAugust 29, 2008; current version published October 22, 2008. Paper no.TPWRS-00367-2007.

The authors are with the Department of Electrical Engineering, In-dian Institute of Technology Bombay, Mumbai 400076, India (e-mail:[email protected]; [email protected]).

Digital Object Identifier 10.1109/TPWRS.2008.2002182

Column vector containing the MW amounts of thebase option FTRs.

Column vector containing the MW amounts of thebase obligation FTRs.

diagonal matrix with equals to .

constant matrix containing the loadingfactors of requested FTRs.

constant matrix containing the loadingfactors of base FTRs.MW amount of an obligation FTR.

MW amount of an option FTR.

MW amount of a physical transaction.

Column vector containing the offer and bidvariables in the energy market.

Parameter vector (column) representing the netnodal inelastic loads in the day-ahead market.

Vector (column) of net nodal injections caused bythe physical equivalents of active FTRs.

Variable vector (column) signifying the net nodalinjections caused by .

Upper limit on .

constant matrix that converts nodalinjections into line flows.

Variable vector (column) signifying the awardedamounts towards all the FTR bids.Variable vector (column) signifying the awardedamounts towards the obligation FTR bids.

Variable vector (column) signifying the awardedamounts towards the option FTR bids.

Parameter vector (column) representing the baseamounts of all types of FTRs involved in theauction.Upper limit on .

Parameter vector (column) representing thepre-existing (i.e., existing before the auction)amounts of all types of FTRs involved in theauction.Column vector containing the line capacitiesavailable in the day-ahead market.

The forward capacity (as available in the day-aheadmarket) of a certain line.

The reverse capacity (as available in the day-aheadmarket) of a certain line.

0885-8950/$25.00 © 2008 IEEE

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Page 2: A Comprensive Assessment of the Evolution of the Financial Transmission Rights

1784 IEEE TRANSACTIONS ON POWER SYSTEMS, VOL. 23, NO. 4, NOVEMBER 2008

Total number of nodes.

vector of all zeros.

vector of all ones.

Value of the scalar or vector variable at thesolution point of the power dispatch problem.

Value of the scalar or vector variable (.) at thesolution point of the FTR auction problem.

Convex social-welfare function.

Optimal social-welfare as the function of .

Objective function of the FTR auction problem.

Optimal value of as the function of .

I. INTRODUCTION

C ONGESTION management in restructured power sys-tems can be carried out efficiently through locational

marginal price (LMP)-based energy pricing [1]–[7]. The basisof the LMP mechanism is the theory of electricity spot pricingby Schweppe et al. [8]. Under the locational marginal pricingapproach, the independent system operator (ISO) calculatespower dispatch schedules by maximizing the social welfarefunction within the available network capacity. The price ofenergy at a location is determined by the rate of decrease ofoptimal social welfare with respect to the fixed load increase atthat location. These prices are the locational marginal prices.Locational marginal pricing can be carried out either on anodal basis or on a zonal basis. However, one major problem ofzonal pricing is accurately finding the zonal sensitivity factors[9]. Thus, each pool participant (individual generator or load)has to pay (load) or is paid (generator) the LMP at its loca-tion, whereas each bilateral contract has to pay a congestioncharge (plus a loss charge if the system modeled in the LMPcalculation is lossy) according to the LMP difference betweenits sink and source locations. The net collection (which isgenerally nonnegative) of the ISO is termed the merchandizingsurplus. This kind of energy pricing can generate useful pricesignals that assist in identifying suitable locations for buildingnew generators, load centers, and transmission facilities. Forinstance, if the LMP at a certain location consistently displaysa higher value, it provides an initial indication that this lo-cation may be a suitable place for building new generators.At the same time, by penalizing each bilateral contract witha location-dependent network usage charge, strong financialincentive is applied, making it account for the congestion inthe transmission network. The pool prices also recognize thesystem limits. The possibility of administrative transmissionload relief (TLR) thus becomes very small. Moreover, due tothe auction-based allocation of transmission capacity, relativeneeds of the market players for the transmission usage aresuitably assessed.

Although the LMP mechanism has an appeal for efficient con-gestion management, this mechanism inherently creates pricerisk (in the form of unpredictable congestion charges), espe-cially for long-term forward contracts. This may hamper long-term power trading. However, long-term (or, at least, medium-

term) forward contracts are desirable to increase competition inthe market as they play an important role in curbing the marketpower of generators [10]–[12]. Therefore, the LMP mechanismalso needs the support of some complementary methodology ortool to guard the long- and medium-term forward contracts fromcongestion price risk.

Financial transmission rights (FTRs) are risk-hedging instru-ments designed mainly with the aim to minimize the conges-tion price risk for forward contracts [1], [13], and [14]. FTRsare now successfully implemented in many power markets suchas PJM, New York, New England, and others [15]–[22]. Simi-larly to the physical transmission rights (PTRs), FTRs also de-fine transmission property rights, but in financial form. UnderPTR methodology, a market player must have sufficient trans-mission reservation to get his transaction scheduled without anynetwork usage charge. A PTR is an option (i.e., the owner mayor may not use it) transmission right that may be either firm orof use it or lose it type. Unlike PTRs, FTRs are completely fi-nancial in nature and do not interfere with the power schedulingprocess. Basically, an FTR provides its owner with some finan-cial support to pay the congestion price that he is charged inthe day-ahead energy market for his transaction. An individualgenerator or load can also buy an FTR to adjust its sale or buyprice, respectively, to the LMP of a different location. For thispurpose, a generator needs to buy an FTR “from” its location,whereas a load needs to buy an FTR “to” its location.

The basic parameters defining an FTR are a source, a sink, avalidity period, and a MW amount. The source/sink of an FTRneed not be a single bus. It could be a load zone, or a hub, or aninterface for which an LMP is calculated and posted (i.e., it canbe any price node). For instance, in PJM, a network transmis-sion service customer [23] can ask the ISO for an FTR from agenerator node to a load zone [17]. Moreover, in the case whereenergy prices are calculated on a zonal basis [24] rather thana nodal basis, FTRs are to be issued between individual zonesrather than between nodes. Under a hybrid pricing approach, inwhich some energy prices are calculated at the node level andothers at the zone level, FTRs are available even between a nodeand a zone.

Each FTR is assigned a monetary value for each hour de-pending upon the day-ahead (or real-time if the day-aheadmarket is absent) LMP outcomes for that hour (if network lossis also considered in the dispatch model, only the congestioncomponents of LMPs are to be used for calculating the hourlyvalues of FTRs [22]). The FTR owners are paid by the ISOaccording to the hourly values of their FTRs. However, thesettlement can be over multiple hours at a time.

The FTR mechanism has evolved with success since its in-ception in 1992. The motivation of this paper is to acquaintthe reader with a comprehensive assessment of the evolution ofthe FTR mechanism. An attempt is made to summarize all thesalient features of this mechanism in a comprehensible format.The contribution of the paper is to provide insights into thesubtle and intricate aspects of the FTR evolution from variousperspectives. Later developments which stem from the need formore flexible FTRs are also addressed in an integrated fashion.The rest of the paper is organized as follows: The risk hedgingfunctionality of FTRs is described in Section II. The revenue

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SARKAR AND KHAPARDE: COMPREHENSIVE ASSESSMENT OF THE EVOLUTION OF FTRS 1785

adequacy issue and the concept of simultaneous feasibility testare discussed in Section III. In Section IV, the FTR issuanceprocesses are described in detail. Some current practices andproposals for the treatment of the revenue shortfall problemare discussed in Section V. The scope of the secondary tradingof FTRs is discussed in Section VI. A comparison between fi-nancial transmission right and flowgate right is carried out inSection VII. The interrelationship between financial transmis-sion right and market power is explained in Section VIII. Asmall discussion regarding how FTRs can incentivize privatetransmission investments is presented in Section IX. The con-cepts of long-term FTR, contingent transmission right, and lo-cational FTR are outlined in Section X. Finally, the paper is con-cluded in Section XI.

II. RISK HEDGING FUNCTIONALITY OF FINANCIAL

TRANSMISSION RIGHTS

With regard to the hedging adjustability, currently exercisedFTRs can be classified into two categories: options and obliga-tions. An obligation FTR is basically a fixed hedge FTR that al-ways remains active. In contrast, an option FTR is an adjustablehedge FTR that becomes active only when congestion occursin the forward direction. Irrespective of whether it is an optionor an obligation, the value of an active FTR is always given bythe product of its MW amount and the LMP differential on itspath. Note that in the FTR context, a path is simply definedby a source-sink pair rather than an alternating series of linesand nodes. The value of an inactive FTR automatically becomeszero. Therefore, an obligation FTR may incur negative values atcertain hours owing to the occurrence of congestion in the re-verse direction, whereas the value of an option FTR is alwaysnonnegative. The ability to implement transmission rights asobligations is one of the major advantages of FTRs over PTRs.The risk hedging functionality of FTRs is described below.

At a certain hour, the target payment (TP) towards the port-folio of a MW obligation FTR and a MW option FTRon Path is given by

if

if (1)

Now, in this hour, the owner of this FTR portfolio has a physicaltransaction of MW on the same path. His payment for thistransaction towards network congestion is given by

(2)

Therefore, the net payment made by the player for this transac-tion and FTR combination is given by

if

if (3)

From this expression of net payment, the following risk hedgingfunctionality of the above FTR portfolio can be seen.

1) If , the player always getsbenefit from (or, at least, never loses money due to) net-work congestion. The player collects a net nonnegativepayment of if , andof if . Therefore, he does notsee any price risk for this transaction.

2) If , the actual transaction is, in effect,divided into the following three parts:

a) A transaction of MW on Path .b) A transaction of MW on Path .c) A transaction of MW on Path .

The first of the above transactions is always charged withthe LMP difference between the sink and source locations.The second transaction is charged with this LMP differenceonly when the sink LMP becomes lower than the sourceLMP. Finally, the third transaction is never charged withthe LMP difference. The above set of transactions is equiv-alent to the original transaction and FTR combination inthe sense that for both cases the net payment to the ISO re-mains the same. Thus, it is clear that the player never losesmoney for the second and third transactions. Moreover, thesecond transaction gives him a benefit of in case

is negative. However, the second part does not giveany benefit when the player has to make a positive pay-ment for the first part, i.e., when . Therefore,the first part remains completely risky for the player, buthe observes no price risk in the second and third parts.

3) If , the obligation FTR itself creates a pricerisk for its owner in that the player will have to make a netpositive payment of on the occurrenceof congestion in the reverse direction (i.e., when

).It can be seen that only a fixed physical transaction can be

fully hedged by an obligation FTR alone. This transaction mustbe of the same MW amount as that of the obligation FTR andmust be on the same path. That is why it is called a fixed hedgeFTR. Even if the MW amount of this transaction falls below theMW amount of the respective obligation FTR, the market playerhas risks having to make a net positive payment under networkcongestion. This price risk is generated by the obligation FTRitself and, therefore, is termed the downside risk. In case theprice risk is due to the physical transaction, it is called the upsiderisk. For a case in which the transaction amount is not fixed, boththe upside risk and the downside risk can be avoided by usinga portfolio of an obligation FTR and an option FTR instead ofonly an obligation FTR. This is because an obligation-optioncombination is able to remove risk completely for a band oftransactions. The MW amount of the obligation FTR defines thelower boundary of this band, and its upper boundary is indicatedby the total portfolio amount. Therefore, the option FTR allowsits owner to adjust his hedge position, or, in other words, thisFTR provides to its owner an adjustable hedge.

Although option FTRs can provide more benefit than do obli-gation FTRs, there is a certain trade-off that often makes obliga-tions preferable to options, and this is explained in Section IV.Moreover, the above discussion on risk hedging is based uponthe assumption that the direction of congestion is quite uncer-tain on a path. In a real system, there may be certain paths where

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1786 IEEE TRANSACTIONS ON POWER SYSTEMS, VOL. 23, NO. 4, NOVEMBER 2008

the probability of congestion in the reverse direction is very low,and for those paths option FTRs are redundant. This is becausethe per MW value of an obligation FTR will most of the time bethe same as that of an option FTR on such a path.

One point that should be explicitly mentioned here is thatthe discussion above basically explains how FTRs perform riskhedging for which, actually, they have been designed. As faras the settlement is concerned, each obligation or option FTR issettled individually and without any bearing on the actual energyschedules. Therefore, a market player does not need to have atransaction on the path of his FTR to get the value of this FTR. Inpractice even, a market player may sometimes choose to hedgethe congestion price risk on a certain path by means of an FTRon a different path. However, upon such a decision, the marketplayer becomes exposed to the risk of the difference betweenthe LMP differentials on these paths.

III. SIMULTANEOUS FEASIBILITY TEST

AND REVENUE ADEQUACY

Revenue adequacy is an important consideration in the is-suance of financial transmission rights. There should be enoughcollection from the network congestion to pay full FTR credits.Revenue adequacy can be ensured through a mechanism calledsimultaneous feasibility test (SFT) [10], [13], [17], and [25],which can be stated as: If the network capacity available in aday-ahead market is sufficient to accommodate the power flowcaused by the physical equivalents of active FTRs at the rele-vant hour, the congestion collection (day-ahead) must be greaterthan or equal to the total FTR target payment at this hour. Ide-ally, the network model to be used in the SFT should be thesame as that used for power scheduling. The relationship be-tween simultaneous feasibility and revenue adequacy is estab-lished below.

The day-ahead dispatch problem can be mathematically for-mulated as follows:

s.t.

(4)

(5)

(6)

(7)

(8)

where

if is a generation at Node

if is a load at Node

if is not related to Node

Constraints (4) are the network capacity constraints. The matrixconverts nodal injections into the line flows both for the for-

ward and reverse directions assigned to the lines. The elementsof are the line loading limits as available in day-aheadmarket. Constraint (5) is the power balance constraint and otherconstraints are self-explanatory. A numerical illustration of thepower dispatch problem can be found in [26]. However, the La-grangian of this optimization problem can be written as,

(9)

where , , , and are the vectors of Lagrangian mul-tipliers. The LMP at a node is defined as the rate of decrease ofoptimal social welfare with respect to the increase of fixed (orinelastic) load at that node. Therefore, from the theory of sensi-tivity analysis [27]

(10)

Each pool contract is settled according to these LMP values. Thecongestion price to be paid by a bilateral contract is given bythe rate of decrease of optimal social welfare with respect to theincrease of the fixed transaction amount on the respective path.Therefore, this price is equal to the LMP difference between thecorresponding locations. The net congestion collection (NCC)of the ISO is given by the sum of the payments made by thebilateral contracts, plus the sum of the payments made by theloads, minus the sum of the payments made to the generators,i.e.,

(11)

According to complementary slackness condition of KKT rule[27]

(12)

Therefore, the expression for NCC can be finally written as

(13)

Let the net injection pattern caused by the physical equiv-alents of active FTRs results in a feasible power flow conditionwithin the network capacity that is available in the above energymarket. Therefore

(14)

The total target payment (TTP) towards these FTRs can be cal-culated as

(15)

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SARKAR AND KHAPARDE: COMPREHENSIVE ASSESSMENT OF THE EVOLUTION OF FTRS 1787

It should be mentioned again that irrespective of whether it isan obligation or an option, the target payment towards an activeFTR is always given by the product of its MW amount and theLMP differential on its path. Finally, the surplus amount (SA)of the congestion collection is given by

(16)

Equation (16), in conjunction with (14) and the nonnegativitycondition of , proves that the surplus amount of the day-aheadcongestion collection must be nonnegative if the physicalequivalents of the active FTRs are simultaneously feasible.Note that such a relationship between simultaneous feasibilityand revenue adequacy can be proven only for a linear powerflow model, where each constrained network quantity can beexpressed as a linear function of nodal injections [as in (4)]. Alinear power flow model may be either a linearized ac powerflow model or a dc power flow model. It was argued in [13]that the above relationship between the simultaneous feasibilityof FTRs and revenue adequacy equally holds, even for anac power flow model (which is nonlinear and nonconvex innature). Currently, NYISO is the only market that employs thistype of power flow model to perform power dispatch calcula-tion and SFT. However, the proof provided in [13] assumesthat in the dispatch problem, the injection at a node never hitsits lower or upper limit. This may not be a valid assumption,since at certain hours, the injection at a node may touch a limit.More prominently, if the load at a certain node is inelastic,the injection at this node always remains at the limit. This isbecause the upper and lower limits for a variable representingan inelastic load must be the same. In reality, an SFT based onan ac power flow model cannot guarantee revenue adequacy[28].

In the above derivation, a lossless power dispatch model hasbeen considered. It should be mentioned that FTRs are able toprovide hedges only against network congestion. Still no rev-enue adequacy test model is available to support loss-hedging(i.e., providing hedges against both network congestion andloss) FTRs. In the case in which network loss is also consid-ered in the power dispatch model, each LMP is divided intoenergy, congestion and loss components, and the congestioncomponents of LMPs are used to calculate the hourly valuesof FTRs. The total collection of the ISO is also accordinglydivided in a net congestion collection and a net loss collection.As before, the payments towards FTRs are made from the fundof net congestion collection. The power dispatch problem stillemploys a lossless power flow model for the calculation of lineflows, but some additional loads are created at the system nodesto represent network loss [2]. As before, revenue adequatecongestion collection can be ensured by testing simultaneousfeasibility of the active FTRs on this lossless power flow model.

IV. FTR ISSUANCE PROCESS

FTRs are issued by the ISO by means of auction and/or al-location. There may be different time horizons for the issuanceof FTRs. As an example, FTRs are auctioned both annually andmonthly in the PJM market.

A. FTR Auction

The FTR auction is basically a central mechanism by whichthe requirements of the participating market players are jointlyassessed, compared, and then fulfilled to the best possible ex-tent. In general, any market player can participate in an auc-tion. First introduced in 1999 by NYISO, the auction mecha-nism is currently in practice in PJM, NYISO, ISO-NE, MISO,and CAISO. The different aspects of the FTR auction processare discussed below.

1) Participation Types: Market players can participate in anFTR auction mainly in the following four ways.

Self-scheduling: In this category of participation, a marketplayer submits a price-insensitive FTR request to the ISO,i.e., the player is ready to spend any amount of money inorder to procure his required FTR.Buy bid: In this category of participation, a market playerrequests to the ISO for an FTR along with specifying themaximum price he is willing to pay for this FTR.Surrendering: In this category of participation, a marketplayer returns a portion of his current FTR to the ISO.The player is ready to accept any payment (even negativepayment) for the returned FTR.Sale offer: In this category of participation, a market playeroffers a portion of his current FTR for sale, while speci-fying the minimum sale price. A sale offer can be thoughtof as a combination of a buy bid and a surrender. For in-stance, a sale offer of 100 MW FTR at $20/MW is equiva-lent to the combined participation of a buy bid for 100 MWFTR at $20/MW and a surrender of 100 MW FTR.

There is also a proposal for the following type of participation[29].

Conversion bid: In this category of participation, a marketplayer requests to the ISO to convert a portion of his cur-rent option or obligation FTR into an obligation or optionFTR, respectively. The player also specifies the maximumprice (nonpositive for option-to-obligation conversion) hewishes to pay for this conversion.

2) Auction Formulation: Each FTR auction is clearedthrough an optimization calculation. A generalized auctionformulation for the clearance of obligation FTRs can be foundin [30], whereas [31] and [32] explain how to modify thisformulation when option FTRs are also included in the auction.The objective function (which is similar to the social welfarefunction in the energy market) of the auction optimizationproblem is the negated quote-based sum of the issued amountstowards all the FTR bids, and the function should be minimized.The cleared amount towards each bid must lie within its lower(which is zero) and upper (which is the requested amount)limits. In order to ensure revenue adequacy, the simultaneousfeasibility condition (derived from the concept of SFT) mustbe satisfied while issuing FTRs. In case all the FTRs are issuedfor a same set of hours and conversion bids are absent, thesimultaneous feasibility condition can be stated as: The phys-ical equivalent of each possible active-inactive combinationof individual FTRs (base as well as requested) must result ina feasible power flow condition for each possible topologicalscenario of the network. Here, the base FTRs are those entities

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1788 IEEE TRANSACTIONS ON POWER SYSTEMS, VOL. 23, NO. 4, NOVEMBER 2008

whose quantity values are considered to be constants duringthe auction calculation. As an example, the FTR awarded toa market participant in an annual auction is to be consideredas a base FTR in the subsequent monthly auctions. Similarly,a self-scheduled FTR is a base entity in an auction. FTRsurrenders are also considered through base case modeling bysubtracting the surrendered amounts from the original FTRamounts.

Note that we have to consider different active-inactive com-binations of individual FTRs. This is because an option FTRbecomes inactive if congestion occurs in the reverse direction.Similarly, different topological conditions of the network haveto be considered in order to take “ ” contingencies into ac-count. Thus, using dc power flow model, the simultaneous fea-sibility constraints for a certain line under a particular networktopology can be written as

(17)

The vectors , , and contain the loading fac-tors (i.e., coefficient factors) of the different FTR terms in theabove simultaneous feasibility constraints. Here, ,

, and . The scalingfactors and vary between 0 and 1. The value of a scallingfactor would be 1 in case the corresponding constraint is alreadyoverloaded or 100% of the available network capacity (i.e., ca-pacity that is available for awarding new FTRs) is offered in theauction. However, in the annual auction of ISO-NE, only 50%of the available network capacity is offered to the auction par-ticipants. In this case, both and are less than 1. The formu-lation of the simultaneous feasibility constraints is numericallyillustrated in [32].

Note that, similarly to PTRs, counterflows caused by thephysical equivalents of option FTRs are also not considered inthe line flow constraints. In order to consider conversion bidsin an FTR auction, only a small amendment is required to theabove formulation. A conversion bid can be considered as thebuy bid for a special type of FTR, termed a conversion FTR.The bid for a conversion FTR is to be treated in the same wayas an obligation or option FTR bid is done. The upper limit ona conversion FTR variable is given by the requested conversionamount and the lower limit is zero. The loading factor of aconversion FTR term in a simultaneous feasibility constraintcan be calculated simply by subtracting the coefficient factor ofthe original FTR from that of the new FTR. For example, theloading factors of an obligation FTR and an option FTR on Path1–2 are and 0, respectively, in a simultaneous feasibilityconstraint. The loading factor of an obligation-to-option con-version FTR on Path 1–2 in the given simultaneous feasibilityconstraint can be then calculated as . Sim-ilarly, the loading factor of an option-to-obligation conversionFTR can be calculated as . Next, considerthat a market player initially (i.e., before the auction) had anobligation FTR of 50 MW on Path 1–2. Upon a conversionrequest, the market player is awarded an obligation-to-option

conversion FTR of 20 MW on the same path in the auction.At the end of this auction, in essence, the player retains anobligation FTR of 30 MW and an option FTR of 20 MW onPath 1–2.

3) Auction Pricing: Financial transmission rights are pricedfollowing the same marginal pricing rule as that for the pricingof energy [17]. The auction optimization problem can be com-pactly formulated as

s.t.

(18)

(19)

(20)

Here, the vector contains all the requested obligation, op-tion and converted FTR terms. Constraints (18) are the simulta-neous feasibility constraints. and contain the loading fac-tors of requested and base FTR terms, respectively, in simulta-neous feasibility constraints. is the vector of scalingfactors. The network capacity offered in this auction is givenby , whereas indicates the totalnetwork capacity available for awarding new FTRs. Now, theLagrangian of the above optimization problem can be writtenas

(21)

The price of an FTR similar to can be calculatedas

(22)

In general, two FTRs are said to be similar (or of the same type)if they have the same loading factor in any simultaneous fea-sibility constraint. Therefore, according to (22), the price of anFTR can be simply calculated by taking the sum of the productsof its loading factor and constraint shadow price over all the si-multaneous feasibility constraints. The auction participant paysor is paid this price depending upon whether this FTR is issuedor bought back, respectively, by the ISO.

The FTR prices exhibit the following properties.• Total collection from an FTR auction must be nonnegative

if .• In the case an FTR bid is fully or partially selected, the

price to be paid to the ISO for this FTR must be lower thanor equal to its bid price.

• In the case an FTR offer is fully or partially accepted, theprice to be paid by the ISO for this FTR must be higherthan or equal to its offer price.

• An FTR bid would be fully selected if its bid price is higherthan the clearing price of a similar FTR.

• An FTR offer would be fully accepted if its offer price islower than the clearing price of a similar FTR.

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It is beyond the scope of this paper to provide the mathemat-ical proofs of these properties. Furthermore, obligation FTRsare, in general, cheaper than option FTRs. This is because [asobvious from (17)] the loading effect of (i.e., capacity consumedby) an option FTR on any simultaneous feasibility constraintcannot be lower than that of the obligation FTR with the sameparameters.

4) Time Differentiation of FTR Products: In order to trackthe time variations (seasonal, weekly, or daily) of load, finan-cial transmission rights are generally issued for different timeintervals over any time horizon. For example, separate FTRs areissued for on-peak hours and off-peak hours in the PJM market[17]. The PJM market also issues multi-interval FTRs with 24-hvalidity within a day. A multi-interval FTR basically spans twoor more individual time intervals, whereas a single-interval FTRremains valid only for the hours of a particular interval. In theabsence of multi-interval FTRs, an independent auction can beconducted for each individual interval. However, if multi-in-terval provision is also included, the auction has to be clearedthrough a joint optimization calculation accounting for all thetime intervals simultaneously. There must be a separate set ofsimultaneous feasibility constraints for each individual time in-terval. The buyer of a single-interval FTR has to pay the pricefor the corresponding interval only. However, the price to bepaid for a multi-interval FTR is the sum of the prices of the in-dividual intervals spanned by this FTR [15].

5) Multi-Round Auction: Multi-round auctions are becomingincreasingly popular. For instance, the annual auction in thePJM is conducted in four rounds [17]. In each round, a quarter ofthe available network capacity (i.e., available for the auction asa whole), plus any capacity not awarded in the previous round,is offered to the auction participants. The results of a round arepublished before the next round begins. Any FTR awarded in acertain round can be offered for sale in subsequent rounds. Themain motivation behind the multi-round approach is to make theauction process more flexible and competitive. This gives boththe winners and losers the opportunity to revise their bids andtry again following the result of an auction round [29].

B. FTR Allocation

Unlike an FTR auction, FTR allocation is not a bid-basedmechanism. Therefore, no market-based measure is associatedwith the FTR allocation process as to the relative needs of theparticipating market players. As a result, FTR allocation is gen-erally kept restricted to the firm transmission customers only.Furthermore, as option FTRs consume more network capacitythan do obligation FTRs, FTRs of the former type are generallynot issued via allocation. Different measures in different mar-kets exist for the allocation of FTRs, such as existing transmis-sion reservations, past transmission usages and load ratio shares[17], [22], and [33]. FTR allocation can be carried out either ona first-come-first-serve basis or through a joint clearance. Thereare two alternative approaches for allocating FTRs, and theseare discussed below.

1) Direct Allocation: In this approach, an eligible marketplayer is awarded a firm FTR quantity completely free of cost.Direct allocation of FTRs is currently carried out in MISO,

NYISO and CAISO [22], [33], and [34], and was formerly inpractice in the PJM market. The same simultaneous feasibilitycondition as described in Section IV-A2 should again be sat-isfied when allocating FTRs directly. In order to enhance theretail-side competition, directly allocated FTRs are reassignedamong the load serving entities (LSEs) on a daily basis fol-lowing the movement of retail customers [33]. This reassign-ment is realized by assigning counterflow FTRs to the load-losing LSEs. A counterflow FTR is basically an obligation FTRthat is assigned to a certain party in order to compensate thepower flow caused by the FTR assigned to another party [33]and [35].

2) Auction Revenue Right: Auction revenue right (ARR) isa mechanism through which the proceeds from an FTR auctionare distributed among the firm transmission customers. For in-stance, in the PJM [17], ARR mechanism is used to distributethe annual auction collection among the firm point-to-point andnetwork service customers. Each ARR is defined between a cer-tain source-sink pair and for a certain MW amount. The ARRsissued in the PJM market are all obligations, whereas only op-tion ARRs are issued by the ISO-NE [17] and [33]. Similar toFTRs, ARRs can also be time-differentiated (such as on-peakARRs, off-peak ARRs, and 24-h ARRs). The value of an ARR iscalculated in the same way as the value of an FTR is calculated.Here, the term “LMP difference” indicates the obligation FTRprice on the ARR path for the relevant time interval. If the FTRauction is multi-round, the weighted average of the LMP dif-ferences from all the rounds is used to calculate the value of anARR. The ratio of the weight factors should be the same as thatof the basic network capacities offered in the individual rounds.Basic network capacity means the total network capacity that isoffered in a round minus the capacity that is carried over fromthe previous round. The total network capacity, offered in theauction as a whole, is given by the sum of the basic network ca-pacities offered in all the rounds.

In order to ensure revenue adequate auction collection, simul-taneous feasibility must be checked while issuing ARRs, i.e., thephysical equivalent of each possible active-inactive combinationof ARRs issued for any time interval should collectively resultin a feasible power flow condition within the network capacityoffered in the corresponding FTR auction. Although ISO-NEoffers only option ARRs, all ARRs are considered to be obli-gations in the SFT model, and their MW amounts are adjustedlater depending upon the price outcomes of the correspondingFTR auction. However, in case an ARR owner is paid the fullvalue of his ARR, this revenue completely neutralizes the pay-ment (plus giving him some additional benefit if it is an option)that he has to make for getting an obligation FTR of the sameMW amount on the same path, i.e., ARR mechanism is, in ef-fect, an indirect procedure for allocating FTRs. The PJM marketoffers an additional flexibility to ARR owners, which is to con-vert their ARRs directly into FTRs. Similar to directly allocatedFTRs, ARRs also follow the shift of loads among the LSEs.

It is often argued that the ARR mechanism is better than thedirect allocation approach because the revenue from an ARRcan be used to buy an FTR not only on the ARR path but alsoon a different path. However, the same benefit can also be ob-tained from a directly allocated FTR. The owner of the directly

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allocated FTR can surrender this FTR in the forthcoming auc-tion to generate an ARR equivalent revenue that can be utilizedto buy an FTR on a different path. Furthermore, the FTR quan-tities awarded through a direct allocation are firm having zeroprocurement cost. The ARR mechanism does not guarantee thisbenefit. In the case of the ARR mechanism, FTRs are physicallyreleased only through the auction while the firm transmissioncustomers are provided with some financial support to buy theirrequired FTRs. The main benefit of the ARR mechanism is thatit helps in better management of the simultaneous feasibility ofFTRs. In addition, the ARR mechanism provides more flexi-bility to the ISO to deal with the problem of revenue deficiencyin an auction. However, it is beyond the scope of this paper topresent a detailed discussion on this matter.

V. TREATMENT OF REVENUE SHORTFALLS

Although every FTR issuance process employs some SFTmodel that is generally linear, there may be certain hours whenday-ahead congestion collection becomes insufficient to pay fullFTR credits. The reason behind such revenue shortfall is thatFTRs are issued over a period of time during which the path-branch sensitivities, base power flows (e.g., loop flows fromthe neighboring control areas), and the contingency consider-ation in the power dispatch model may vary. Therefore, theSFT model may not be precise enough to cover all the hoursof the time horizon of interest successfully. Also, the networktopology may get changed because of accidental line outages. Inaddition, line capacities may degrade. Owing to all these factors,the active FTRs at a certain hour may not be simultaneously fea-sible with respect to the actual network constraints in the powerdispatch model. Such infeasibility may, in turn, lead to inade-quate congestion collection from the day-ahead market. Also, itmay not be possible to bridge completely the gap from the fundof the real-time congestion collection.

However, as an ISO is a nonprofit-making entity, there mustbe some mechanism to compensate for any such revenue short-fall. In NYISO, revenue shortfall is compensated by imposinguplift charges on the transmission owners [36]. The objectivehere is to link transmission maintenance standards with revenueinadequacy. NYISO also allocates net congestion surplus andFTR auction revenues to the transmission owners. However, theNYISO approach seems unable to provide proper maintenanceincentives due to the uniformity of uplift charges [37].

In another practical approach, as followed by the PJM,CAISO, and MISO [37], FTR payments are derated whenrevenue shortfall occurs. In the PJM [38], the positive FTRpayments are reduced (but never made negative) in proportionto the respective target payments when revenue deficit occurs.FTRs with negative targets are given full credits. The excesscongestion collection that gets accumulated over a monthis transferred (if nonnegative) into a balancing fund. Thisbalancing account also accumulates the excess FTR auctionrevenue from this month. After the balancing account is up-dated, the ISO first uses this fund to compensate partially(on a pro-rata basis) or fully the unpaid FTR credits of theparticular month. The remaining amount in this fund is used tocompensate (partially or fully) the unpaid FTR credits from all

the previous months. The same sequence is repeated for eachmonth within a planning period.

Unlike FTRs that are settled daily, ARRs are settled on amonthly basis in the PJM market. The shortfall in the auctioncollection is managed by derating the ARRs in the same wayas described above. At the end of each planning period, the un-paid ARR credits are partially or fully compensated with theamount that remains in the above balancing fund after compen-sating the shortfalls in FTR payments. In the case some amountstill remains in the balancing fund, it is distributed among thefirm transmission customers on a pro-rata basis irrespective ofwhether or not they hold FTRs for their transmission services.

In [37], it was shown that the above procedure for deratingFTRs may create a gaming opportunity for certain marketplayers, in that they can artificially create congestion on thetransmission system. In order to suppress such gaming op-portunity, a direct assignment technique was suggested in[37] based on the constraint shadow prices, their capacitydegradations, MW amounts of the FTRs, and the path-branchsensitivity factors. The assumption behind this approach is thatthe network capacity degradation is the only reason for revenueinadequacy. Now, as mentioned earlier, there are also someother factors which may create a revenue shortfall situation. Asa result, the suggested method may fail at certain instances, e.g.,when revenue shortfall is caused by a line outage. However,the shortcoming of this direct assignment algorithm can beeliminated by use of a small modification. Initially, the netload caused by the physical equivalents of active FTRs on eachsimultaneous feasibility constraint is to be calculated. If thetotal load on a simultaneous feasibility constraint is found to begreater than its limit, the amount of overload is to be measured.For example, if the limit of a constraint is 100 MW and the totalload on it is 120 MW, the amount of overload is 20 MW. Onceall the overload amounts are calculated, these quantities shouldbe used in the formula of [37] in lieu of capacity degradationamount.

VI. SECONDARY TRADING OF FTRS

Once awarded through central auction or allocation, FTRscan be traded bilaterally in a secondary market. In the secondarymarket, an FTR can be split into multiple FTRs with differentMW amounts and different validity periods. The new owner-ships are registered on the market database. However, in orderto meet revenue adequacy criteria, the original FTR is not al-lowed to be broken into a collection of derived FTRs that loadssome simultaneous constraints more than does the original. Fol-lowing are some simple rules followed in the PJM [17] for thesecondary trading of FTRs.

1) Rule 1: Option and obligation FTRs must be traded as op-tions and obligations, respectively.

2) Rule 2: Each of the derived FTRs must be defined on thesame path as that of the original FTR.

3) Rule 3: The validity periods of two derived FTRs must notpartially overlap.

4) Rule 4: The sum of the MW amounts of all the derivedFTRs with the same validity period must be equal to theMW amount of the original FTR.

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5) Rule 5: The validity period of any derived FTR must notexceed the validity period of the original FTR.

In addition, an incremental limit has to be respected whensplitting an FTR. In the PJM, this limit is 0.1 MW, i.e., the MWamount of each derived FTR transferred to a new owner mustbe an integer multiple of 0.1.

However, due to the point-to-point nature of FTRs, the aboveset of rules does not provide sufficient scope for the secondarytrading of these instruments. The extent of secondary tradingcan be enlarged by means of the exchange mechanism describedin [39]. A simple interpretation (with a small modification) ofthis exchange mechanism is that a market player can exchangean existing FTR with the ISO for a new set of FTRs at no addi-tional cost, where

1) the validity period of each new FTR must be less than orequal to that of the original FTR;

2) the collective loading effect (may it be negative) of the newset on any simultaneous feasibility constraint must not behigher than that of the original FTR for any hour within thevalidity period of the original FTR.

In a sense, this exchange mechanism complements the abovesecondary trading rules by providing market players with anadditional provision to reconfigure their current FTRs.

VII. FINANCIAL TRANSMISSION RIGHT

VERSUS FLOWGATE RIGHT

Flowgate right (FGR) mechanism is the alternative to the FTRmechanism in LMP markets. This mechanism was in practice inthe formerly ERCOT [19] zonal market. Unlike an FTR, whichis point-to-point (PtP), an FGR is defined on a transmission link(or flowgate) in a certain direction. By definition, each FGR isan option. The product of its MW amount and the shadow priceof the corresponding link gives the hourly value of an FGR inthe case that the link gets congested in the same direction. Theshadow price of a link in the energy market is defined as the rateof increase of optimal social welfare with respect to the samecapacity increase in both directions of this link. However, if therelevant link remains uncongested or congestion occurs in theopposite direction, the value of the FGR becomes zero.

In order to preserve revenue adequacy, the total FGR amountin any direction of a link is not permitted to be higher thanthe capacity of the link in the particular direction. However,no overall network-based SFT is required when issuing anFGR. Initially, FGRs are issued through the central auction orallocation process. In an auction, the purchaser of each FGR hasto pay the shadow price of the capacity constraint consideredin the auction. Once issued through central auction or alloca-tion, FGRs can be freely traded in the secondary market. Thesecondary trading rules for FGRs are similar to the secondarytrading rules for FTRs. A point-to-point transaction can befully hedged by a certain portfolio of flowgate rights. The MWamount and direction of the required FGR on a flowgate are thesame as those of the physical flow caused by the transaction onthe particular flowgate.

The motivation behind the development of this link-basedconcept was to enhance the decentralized trading of transmis-sion rights [40]. Owing to its link-based nature, an individual

FGR is more tradable than an FTR. The flowgate approach isbased upon the following assumptions [41]:

1) power transfer distribution factors (PTDFs) are relativelystable;

2) the number of commercially significant flowgates (CSFs)is small and predictable.

Commercially significant flowgates are those flowgateswhich are likely to be congested very often. FGRs are to beissued only on CSFs. The higher tradability of an individualFGR combined with a small number of CSFs can without doubtenhance the overall tradability of transmission rights.

The applicability of the FGR mechanism to a system relies onthe structure of this particular system. This methodology is byfar compatible with zonal pricing with radial interconnectionsamong the individual zones. However, as discussed in [42] and[43], FGRs may not be suitable for a meshed system owing tothe following reasons:

1) varying values of PTDFs;2) presence of a large number of contingent flowgates.The PTDF between a link and the path of a transaction may

vary depending upon the system loading condition. Also, othercontrols, such as tap changing transformers’ tap positions, af-fect the PTDF values. Now, the matching portfolio of FGRs fora certain transaction has a direct functional relationship with theactual PTDF values. Therefore, the uncertainty in PTDFs is fi-nally translated into the form of uncertainty that a market playerfaces about the risk hedging capability of his FGR portfolio.However, a combined study of [44] and [45] indicates that theDC PTDFs with current nominal network parameters may begood references for defining the risk hedging ability of an FGRportfolio over a long period of time.

A very serious problem arises, however, owing to the contin-gency consideration in the power dispatch problem. The energymarket is generally cleared in such a way that the system cansustain “ ” contingencies. Now, the PTDF values are dif-ferent for different topologies of the network. As a result, eachphysical line corresponds to multiple links or flowgates—onefor each topological condition of the network (i.e., each flow-gate is defined by a physical line and network topology pair).This, in turn, may lead to a multitude of CSFs. For example, letthe number of potentially congested lines in a power networkbe only 10. However, apart from the base network topology, 20different contingent topologies are also considered in the powerdispatch model for the sake of system security. Therefore, thetotal number of CSFs can be as large as 200 (i.e., 20 10).Such myriad CSFs clearly invalidate Assumption-2 and indi-cate the impracticality of the FGR approach for this system.Moreover, an additional problem arises in case the base networktopology gets changed because of some accidental line outages.As a flowgate is defined by a certain line-topology combina-tion, most of the previous flowgates become undefined in thisnew system. This, in turn, creates an extra task of redefining theexisting FGRs with reference to the new system configuration.

In the case of the FTR mechanism, the field of influence of theabove factors is the revenue adequacy issue. However, in mostof the markets, “ ” contingencies are also considered in theSFT model. Although line outages and distribution factor varia-tions can create a revenue shortfall problem, its severity may be

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reasonably minor [43]. The main reason for this is that simul-taneous feasibility is sufficient but not necessary to make con-gestion collection revenue adequate. Moreover, the set of FTRsissued may still be simultaneously feasible. In addition, any rev-enue shortfall can be compensated in future with excess conges-tion collections. As a result, most of the LMP-based power mar-kets running successfully have found FTRs rather than FGRsto be more suitable for their systems. Even in a radial system,FTRs can be made equally tradable to FGRs through the im-plementation of the FTR exchange policy, which is discussed inSection VI.

VIII. FTRS AND MARKET POWER

With regard to the interaction between FTRs and genera-tors’ market power, there is consensus among some studies inprevious literature on the point that FTRs increase the marketpower of the generators at the importing nodes [46]–[48]. On theother hand, an analysis based upon the prisoners’ dilemma andCournot competition was presented in [49] with the inferencethat FTRs are able to curb market power. However, the anal-ysis presented in [49] is basically concerned with the long-runprofits of strategic generators rather than the long-run effect oftheir strategies on market prices [50]. But, in the end, the rela-tion of the term “market power” is with market prices, not withthe profits of generators. Therefore, [49] cannot properly justifyits proposition.

The market power, induced by FTRs themselves, counter-acts to the competitive benefit that can be obtained by hedgingthe LMP risk of the forward contracts. In order to suppressthe growth of such market power, FTRs should be preventedfrom falling into the hands of strategic generators. In [51], itwas proposed that any FTR should be issued either from or toa common point, determined by a certain measure called rel-ative cross-price sensitivity. However, this approach seems tointerfere with the risk-hedging objective of the FTR mechanismsince a market player may not be able to collect the same quan-tity for both the load end and generator end FTRs to hedge histransaction. As a result, it may not be accepted for practical im-plementation. FTR-induced market power should be mitigated,but not at the cost of the risk-hedging benefit obtainable fromFTRs.

Unlike firm PTRs, FTRs cannot be used to withhold trans-mission capacity. This is because FTRs are purely financial in-struments. However, by submitting a false schedule, an FTRowner, having no physical transaction to hedge, may artificiallyincrease the congestion level on the transmission system forearning a higher profit. The situation is nicely exemplified in[52]. The player, then, has to withdraw this false schedule inthe real-time market. As the direction of congestion usually re-mains the same in both the day-ahead and real-time markets,the real-time LMPs do not offset the day-ahead profit of thestrategic market player. Although this kind of strategic activitydoes not indicate market power abuse, it causes a price rise at theconstrained in (i.e., importing power) nodes in the day-aheadmarket. At the same time, as the unsold cheaper generations inthe day-ahead market now appear in the real-time market, and asthe previously blocked transmission capacity is also released inthe same market, the real-time prices at the constrained in nodes

may fall below even the corresponding day-ahead prices. This,in turn, causes a load movement from day-ahead to real-time. Ifthe load movement is large, the day-ahead prices again fall. As aresult, the loads now become attracted to the day-ahead market,which again increases the day-ahead prices. When the transientsubsides (or becomes sufficiently attenuated), the constrainedin LMPs in the day-ahead market may be higher than those thatwould have been present if the FTR owners had not behavedstrategically. However, it is debatable whether the strategy canbe continuously employed by an FTR owner.

IX. FTRS AND MERCHANT TRANSMISSION INVESTMENT

The transmission system has a key role to play to makecompetition successfully materializes in the power sector. Newinvestments are required in transmission system in order to getincreased power supplies from cheaper generators. Apart fromregulated investments, private (or merchant) investments canalso be considered to reinforce the existing network. Unlike reg-ulated investments, a private investment is not passed throughany central planning process, neither is there any regulatedtariff-based return on any private investment. However, efficienttransmission investments should be sufficiently incentivized. Atransmission investment is efficient if it increases social welfare.It may be that there will be investments that are beneficial tothe investor but harmful to the society. Disincentives should beprovided to prevent such inefficient or detrimental investments.

The work of Bushnell and Stoft [53] suggested that incre-mental FTRs (IFTRs) may provide correct investment incen-tives to private investors. Under this paradigm, the additionalFTRs, made possible by an investment, are issued to the in-vestor. Bushnell et al. proved that if the risk-hedging FTRsmatch the power dispatch schedules in aggregate before the ex-pansion, the net value of the incremental FTRs will be no greaterthan the increase of social welfare owing to this expansion. Aninteresting two-bus example illustrating the incremental FTRconcept can be found in [54]. Incremental FTRs are currently of-fered in CAISO, MISO and NYISO, whereas PJM and ISO-NEoffer incremental ARRs (IARRs) [33]. However, there are manyobstacles to this particular market approach of transmission in-vestment. The first problem is regarding the long-term issuanceof IFTRs. Before issuing an IFTR, a base case must be preparedas to how many risk-hedging FTRs can be issued on the existingnetwork. An accurate modeling of such a base case is a diffi-cult task as risk-hedging FTRs are issued periodically (yearlyand/or monthly). In [55] and [56], a proxy-award mechanismwas proposed to solve this problem, but the basis on which thealgorithm for determining proxy awards is built is not clear. An-other problem is that it may not be possible to restore simulta-neous feasibility by issuing IFTRs according to the investor’spreference. In this context, a combined flowgate right and ad-mittance right approach was proposed in [57] as an alternativeto the IFTR approach. However, the suggested approach seemsnot to be able to differentiate new investments from existing re-sources. Rather, this problem can be solved by issuing IFTRs inthe reverse directions of some of the investor’s preferred paths.Other critical problems regarding merchant transmission invest-ments are the possibility of the destruction of LMP differencesowing to a transmission investment, lack of coalition between

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the investor and the market players that benefit (i.e., free riderproblem), and the need for some regulatory oversight to preventpotentially harmful investments [58]–[61]. There is also a threatof a reduction in the value of an IFTR owing to the future invest-ments.

X. OTHER FTR INSTRUMENTS

A. Long-Term Financial Transmission Right

A long-term (LT) FTR is an FTR (or ARR) with a term longerthan one year. LT FTRs can secure infrastructure financing andcan provide more price certainty to the transmission customersserving long-term power contracts [33]. The interest in LT FTRshas started growing among various market participants in theU.S. markets since 2005. In July 2006, the Federal Energy Reg-ulatory Commission (FERC) of the U.S. issued its final guide-lines [62] for the implementation of LT FTRs in organized [63]electricity markets. These are summarized below.

1) An LT FTR must be a PtP transmission right.2) LT FTRs must be fully funded unless the situation is ex-

traordinary or voluntary agreements have been signed be-tween LT FTR owners and the ISO.

3) LT IFTRs must be made available upon request to any partythat pays for transmission upgrades or expansions.

4) The term lengths of LT FTRs must be sufficient to fulfillthe needs of LSEs to hedge their long-term power supplyobligations.

5) LSEs must have priority over non-LSEs in the allocationof long-term risk-hedging FTRs.

6) LT FTRs must follow the movement of retail customers.7) The initial allocation of LT FTRs should be independent of

FTR auction.8) Allocation of LT FTRs should balance any adverse eco-

nomic impact between participants receiving and not re-ceiving the right.

B. Contingent Transmission Right

Contingent transmission right (CTR) [64] is basically agroup-FTR concept. A CTR allows its owner to hold FTR ona number of alternative paths. This added flexibility providesmarket players with an additional (and cheaper) support toovercome the congestion price risk originating from the uncer-tainty in their transaction paths.

Structurally, a CTR is defined by a MW amount and a setof paths. The owner of the CTR can choose any path (but onlyone at a time) from the given path set to convert his CTR into anFTR. A CTR can be an obligation or an option. If it is an obliga-tion, any FTR that it generates would be considered as an obliga-tion FTR. Similarly, if it is an option, any FTR that it generateswould be considered as an option FTR. The generalized form ofthe contingent transmission right is the multidimensional finan-cial transmission right which is discussed in detail in [65].

C. Locational or Unbalanced Financial Transmission Right

Unlike a PtP FTR, a locational FTR (LFTR) [13] is definedonly for a point of injection (injection type) or a point of with-drawal (withdrawal type). The hourly value of a withdrawal type

LFTR is given by the product of its MW amount and the LMP(or the congestion component, or the congestion componentplus the energy component of the LMP) of the correspondinglocation. If the LFTR is of the injection type, the negation ofthe above product gives its hourly value. The bid price associ-ated with an injection type LFTR request is usually nonpositive,whereas it is usually nonnegative for a withdrawal type LFTRrequest. Thus, an LFTR allows an individual load or generatorto freeze its buy or sale price, respectively, in advance (whenthe auction is conducted) for a certain MW quantity. In otherwords, an LFTR is similar to a forward contract between theISO and a generator or load. Therefore, LFTRs may increasethe traded volume of power in the forward market, leading to theenhancement of market competitiveness. An LFTR must be anobligation. Apart from satisfying network capacity constraints,the physical equivalents of the LFTRs must be in balance (i.e.,power balance) to ensure revenue adequacy.

XI. CONCLUSION

This paper provides a comprehensive insight into the FTRmechanism employed in centralized power markets to provideprice guards to the forward contracts. An obligation FTR alonecan hedge a fixed transaction only, whereas a band of trans-actions can be fully hedged by an obligation-option portfolio.Simultaneous feasibility is an important consideration in theissuance of FTRs. Auction and allocation are two alternativemechanisms for issuing FTRs. Market players can participatein an auction in a number of ways. In order to have revenue ad-equacy at any hour within the time horizon of the auction, itmust be ensured that each possible active-inactive combinationof the FTRs be simultaneously feasible. All the FTRs issued inan auction are marginally priced. Time-differentiated FTR prod-ucts and multi-round auctions enhance the flexibility of marketplayers. The allocation of FTRs can be carried out directly orthrough ARRs. Any centrally allocated or auctioned FTR canbe freely traded later in a secondary market. By means of anexchange mechanism, it is also possible to reconfigure an FTRwithout entering into any auction. Accidental line outages, linecapacity degradations, and imprecisions in the SFT model em-ployed may sometimes cause revenue shortfall. Imposition ofuplift charges on transmission owners and temporary reductionof FTR values are two major approaches to compensate revenueshortfall. Strategic generators may acquire additional marketpower through FTRs. This implies a need for some well-definedand feasible rules for appropriately restricting the ownership ofthese transmission rights. The alternative to the FTR mechanismis the FGR mechanism. However, FGRs may not be suitable fora highly meshed network. Apart from risk hedging, FTRs canalso be used to incentivize merchant transmission investments.LT FTRs can provide more price certainty to long-term powercontracts. The future CTR will provide market players with anadditional support to get relief from the congestion price riskoriginating from the uncertainty in their transaction paths. Fi-nally, by means of LFTRs, individual generators and loads candevelop the flexibility to lock their sale and buy prices, respec-tively, in advance.

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.V. Sarkar (S’07) received the B.E. degree in electrical engineering from Bur-dwan University, Bardhaman, India, in 2002 and the M.E. degree in electricalengineering from the former Bengal Engineering College (currently Bengal En-gineering and Science University), Kolkata, India, in 2004. He is currently pur-suing the Ph.D. degree in the Department of Electrical Engineering at the IndianInstitute of Technology, Bombay, India.

His current research involves power system restructuring issues.

S. A. Khaparde (M’87, SM’91) received the Ph.D. degree in 1981 from theIndian Institute of Technology, Kharagpur, India.

He is a Professor of electrical engineering at the Indian Institute of Tech-nology, Bombay, India. He has authored several research papers and has coau-thored two books. He is a member of the advisory committee of MaharastraElectricity Regulatory Commission, India. His current research activities are inthe areas of power system restructuring.

Dr. Khaparde is on the editorial board of the International Journal ofEmerging Electric Power Systems.

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