Anticipated Actions to Reduce Energy Shortages in the Residential Sector ()

This study investigates the electric energy shortages impact upon the residential sector in Riyadh city, the capital of the Kingdom of Saudi Arabia (KSA) resulting from severe power outages. The results reveal the extent of hardship and high costs the residential will suffer and endure. These outages occur and extend for longer durations. To mitigate these consequences, a method is suggested known as “willingness-to-pay” to seek the ability and willingness of consumers to pay to avert these power outages and energy shortages. Two approaches have been developed and utilized. The first one is based on a consumer survey to estimate his perceived costs. Outages occur in specific periods and last for longer durations. The second approach focussed on developing a mathematical model to complement the survey approach as this model can decrease the size of the problem complexity associated with consumer lack of experience in evaluating and assessing the worth of service reliability and quality.

KEYWORDS

Cite this paper

Al-Shaalan, A.M. (2018) Anticipated Actions to Reduce Energy Shortages in the Residential Sector. *Energy and Power Engineering*, **10**, 434-447. doi: 10.4236/epe.2018.109027.

1. Introduction

Electric service shortages occur when system capacity, due to severe power outages, is insufficient to meet the system load levels. During these periods of inadequacy, outage costs will be borne by the utility, its customers and perhaps, by the entire society. The utility outage costs include loss of revenue, loss of future sales and increased repair expenditure and maintenance. These costs usually form only a small part of the total outage costs. The greater part is that borne by the consumers. The outage costs depend on many factors and situations, some of which are discussed in the following sections.

The problem of exploring energy shortages impacts upon the consumers depends on many factors and situations as well as the perceived effects of an interruption when a consumer needs critically electric energy but is deprived to attain it. There are different classes of consumers; each will tolerate loss of service differently. For instance, if the interruption occurs to an industrial user during the time of production process he will certainly incur a great loss but it can be alleviated by some means of early warnings, available standbys, or compensations. For a commercial consumer, the interruption occurrence may cause inconvenience to that user who is either forced to close until power is restored or operates his own alternative means, particularly, supermarkets containing food freezers. For the residential consumer, he will suffer disruption of domestic activities, loss of leisure, food spoilage, and health hazards. Also he will endure a great deal of hardship if an interruption occurs during evenings, hot summer days, or month of holy Ramadan, etc. that will cause distress, discomfort and anxiety.

The difficulty associated with estimating residential losses, resulting from severe power outages, is due to the fact that the activities of this sector are not productive and most of its outputs are consumed within the household premises and cannot be valued in the market. Shortages may disrupt domestic activities such as cooking, washing, vacuum cleaning, air conditioners, lighting, entertainment, and social guest gatherings etc. However, residential consumer may incur tangible losses such as foods spoilage, paying extra expenses and intangible losses in terms of inconvenience, discomfort, and anxiety.

If an interruption continues or spreads to a larger subset of society, the society losses will tend to increase in a non-linear trend. So energy conservation strategies may constitute a preferable measure to be adopted and applied in order to curb these energy curtailments to the least tolerable limit. The residential sector in the city of Riyadh has been selected as a practical case to conduct this study as it represents the major share of energy consumption.

2. Review of Existing Studies

To review some of existing studies, Kristina [1] discussed the massive electric power outage that occurred in the northeastern United States on August 14-15, 2003. They estimated the losses associated with that severe power outage affecting residential consumers for longer durations. Manikya [2] utilize a practical radial distribution system database in the development of individual consumer sector and establish composite consumer damage functions for combinations of all consumer classes. Snead [3] discussed the issue of energy efficiency and conservation in the residential sector and showed that energy efficiency can be targeted to reduce peak demand. [4] reports estimates the annual cost of power outages caused by severe weather between 2003 and 2012 and describes various strategies for modernizing the grid and increasing grid resilience.

Layton [5] used a survey to households’ willingness to pay to avoid unexpected shortages in electricity service. In this survey, the author used a statistical approach that is defined as a function of household characteristics, outage attributes and outages history. Benders [6] developed a web-based tool that addresses direct as well as indirect energy requirements. This tool was tested with a sample of 300 households, resulting in a direct and indirect energy reduction of about 31% compared to total energy consumption. McMakin [7] described energy-conservation campaigns applied at two military installations where residents do not pay their own energy bills. Küfeoğlu [7] the customers are divided into three main segments; industry customers, service customers and residential customers. Different and unique customer interruption costs estimation methodology has been proposed for each customer segment. Mercados [8] analyzed the current interruption management system and assessed the requirements of its evolution so that it is well adapted to future reliability needs.

Fuji [9] developed a model that explains household choice of electricity conservation modes. The model is based on the premise that households will adopt those conservation modes that yield benefits greater than perceived costs. Yoshiyuki [10] evaluated energy conservation methodologies for the residential sector by employing a model that simulates city-scale energy consumption in the residential sector by considering the diversity of household and building types. Hi Chun [11] indicated that, as energy conservation can be realized through changes in the composition of goods and services consumed, there is a need to assess indirect and total household energy requirements. Manikya [12] assessed reliability cost/worth indices of expected energy not served (EENS), expected cost of interruptions (ECOI) and interrupted energy assessment rate (IEAR) of a typical radial practical distribution system using a generalized analytical technique. The results presented in this paper can be useful for the electric power companies, designers and planners in the decision-making process. Taniguchi [12] performed modeling of energy consumption by residential sector of 20 Japanese cities modeled at the city-scale and the model households were classified into 228 categories based on the family size and building type. He evaluated the effectiveness of energy conservation measures, such as improving energy efficiency of home appliances, improving heat insulation of buildings, changing preset temperature, and all family members watching TV together. Xu Peng [13] measured, in laboratory and in site, the thermal behaviors of specimens and an upgraded prototype residential building in China. The research showed that the proposed insulation system can save as much as 50 percent of the energy through it. The field measurements showed that 30% reduction of the overall energy consumed by newly-built buildings. Abrahamse [14] reviewed and evaluated the effectiveness of encouraging households to reduce energy consumption and some important issues cloud these conclusions, such as methodological problems.

3. Work Objective and Proposed Methodology

The review of the preceding studies reveals that their authors assessed the energy conservation in the residential sector without explicitly considering it as a hedge against power outages and a remedy to energy ceases. Hence, it is the Author’s impression, that there is a modest attention that was given to the advantageous and rewarding correlation between coherent energy conservation and least outages occurrences. Therefore, the objective of this work is to narrow this existing gap in the present studies. Hence, the first step of this endeavor is to explore, from the consumer’s perspective, the adverse effects of the energy shortages that reflect enormous damages (tangible and intangible) to the residential sector in the city of Riyadh. The second step is to propose, adopting and employing energy conservation strategies in order to overcome these damages and ensure energy continuity and preservation as well as saving in consumption costs. To fulfill these two essential steps, the following processes have been established:

1) Using a consumer survey which is considered to yield practical and definite results that can estimate real impact of energy shortages upon residential sector. It is the author’s opinion that the most suitable estimate of outages losses and costs is the consumer’s assessment based on his own perception to these consequences during power outages and types of preparatory actions or willingness-to-pay he may undertake to avoid such outages or, at least, mitigate their effects.

2) Developing a mathematical model in order to motivate the survey work and define the key variables in the survey data base and supplement for any erroneous or missing data provided by the individual respondent.

4. Results and Discussions

The data used in this study is based on 454 responses to the residential survey out of 626 distributed questionnaires. The survey involved arbitrary samples of residential consumers in Riyadh city (employees, traders, workers, and academia). The respondents were asked to provide information concerning dwelling types, income sources and size and number of persons living in the household (Q1 & 2), their activities during evening leisure times (Q3), their experience with service outages during the past two years (Q4), measuring their level of hardship of being unable to use their major appliances during power cease (Q5), assessing their losses resulting from lasting outages and proposing certain preparatory actions to lessen their effects (Q6), their average monthly energy consumption and their attitude regarding the prevailing tariff (Q7), the extent of the consumer willingness-to-pay in order to avoid service shortages (Q8). Finally, exploring existing energy conservation programs that may consumers adopt and use in order to reduce the occurrences of power outages and hence alleviate their adverse consequences (Q9).

4.1. Levels of Hardship with Energy Shortages

To explore the extent of respondents’ discomfort, anxiety and adversity during energy shortages, they have been asked to give, based on a scale varying from 0 (no hardship) to 5 (extreme hardship), their level of hardship of not being able to use major electrical appliances such as kitchen devices, washing machines, air conditioners, lighting. Their responses are portrayed in Figure 1. It is noticed from the figure that the most critical devices that the residential consumers will not be able to use, should an outage occur, are mainly air conditioners followed closely by loss of lighting and less closely by kitchen facilities and washing machines.

4.2. Consumers’ Reaction against Daily Outage with Lasting Durations

The respondents’ reactions towards frequent outages occurrences of lasting durations were also sought. These occurrences were assumed to be in the summer season and after midday where the use of air conditioners in a country like Saudi Arabia is mostly needed. The duration of these shortages were suggested to last 20 minutes, 1 hour, 4 hours and 8 hours. The results are shown in Figure 2 which depicts the respondents’ annoyance and irritation that is rapidly rising with extended service shortages.

4.3. Cost Estimation Based on Consumers’ Perception and Willingness-to-Pay

Most of outages effects, as are noticed above (Figure 1 & Figure 2), are intangible and cannot be assessed in terms of monetary values and a single complete measure of the worth of reliability of supply to residential users is difficult, if not impossible, to obtain. The question which is appropriate to be asked is: What set of preparations and precautions a residential consumer should adopt as a criterion to ensure supply continuity and quality worth? The answer depends on practical and theoretical structure of the analyses. In general, it is the author’s opinion that one of the most suitable estimates of reliability worth is the consumer’s preparatory actions during power outages and his willingness-to-pay to avert their occurrences. This approach is practically sound and more related to the perception of the residential consumer and to his energy requirements. Therefore, to seek the consumer’s readiness and type of preparatory actions that he intends to undertake against possible power outages and energy shortages, respondents were directed to suppose that they are told by their local electric company that unexpected power outages will occur daily in summer time for various durations and asked to predict which action(s) they might take in preparation for the outages (Question 6). The costs quoted in the list of actions are used to compute an estimate of the cost of preparations that respondents indicate that they are willing to undertake to eliminate or, at least, to mitigate the adverse effects of the outages. Also, the survey explores to what extent they are willing to pay to avert service cessation. Therefore, it is suggested (Question 8) that the power system has become subject to more frequent power outages. To increase system reliability, the company may add generating units and/or reinforce its network facilities which may result in tariff increase. Hence, the question postulates daily power outages in summer period for durations of 20 minutes, 1 hour, 4 hours, and 8 hours. A range of possible tariff rate increases is proposed and the consumers were asked to perceive and appraise the possible damage resulting from service shortages and consequently discern an appropriate tariff rate increases based on its prevailing present structure. The data reported by the respondents is exhibited by Figure 3. The survey results show that a significant number of respondents were willing to pay higher rate for even up to 20% above the cost of the normal charge to avert prolong outage durations. The willingness-to-pay, however, becomes less when more rate increase is suggested or less frequent outages are proposed. The costs per kWh for various durations estimated as above are probably the most meaningful for the residential user group and for comparison with other studies as well as for planning purposes.

Figure 1. Variation of household hardship regarding inability of using major appliances during energy shortages.

Figure 2. Variation of hardship with outages occurrences and lasting durations.

Figure 3. Suggested traff rate increase with outage durations.

4.4. Outage Cost Estimation by Using Survey Method and Mathematical Model

4.4.1. Outage Cost Estimation by Using Survey Approach

In this work, two main approaches were considered and are presented. The first one is concerned with using a survey methodology based on rate increase, wherein respondents were asked to what extent increase in tariff rate they are willing-to-pay to avoid outages for various outages durations. The direct worth evaluation approach asks consumers to place a monetary value on the effects of certain shortages scenarios or to assess the worth to them of not having to experience an interruption. The average value of the maximum amount per month that the respondents were willing to pay for less severe outages (shortages) occurrences is based on their average monthly energy consumptions (kWh/mo.) and invoice payments (SR/mo.) in summer season. This approach may suffer from the difficulty that residential respondents encounter when attempting to give meaningful answers to direct evaluation questions. This difficulty stems from the lack of respondent experience with markets in which intangible benefits, such as electric service reliability, are exchanged as a commodity.

4.4.2. Outage Cost Estimation by Using a Mathematical Model Approach

Another approach which has been developed and used is based on a mathematical model. This model can decrease the size of the problem intricacies associated with consumer lack of experience in rating the worth of service adequacy, quality and continuity. Now the model can be derived as shown in the coming part.

Consider a typical household that maximizes utility over some period of time. Utility U is expressed as a function of activity type D that cannot be enjoyed without electricity and income K (net of expenses incurred to enjoy the activity, which represents all other consumption):

$U=U\left(D,K\right)$ (1)

Next, activity type D is specified as a function of inputs, time t (hours), electricity consumption c (kWh), flow of services s from the stock of electricity using air-conditioner, lighting, TV etc., represented by z:

$D=D\left(t,c,s,z\right)$ (2)

Furthermore, c and s may be written as functions of the stock of electricity using capital i, the value of appliances annuitized over their useful life, and of time t which is a measure of intensity use. Therefore, $c=c\left(i,t\right)$ and $s=s\left(i,t\right)$ . The household budget constraint may be written as:

$K=w\left(H-t\right)-p\cdot c-b\cdot i-f\cdot z$ (3)

where w = effective hourly net income earning rate; H = maximum feasible number of hours of work in the time period; p = mean price for each kWh of consumed electric energy; b = equivalent income foregone for each unit of i in the same period; f = cost for each unit of other inputs z used.

Maximizing utility subject to the linear budget constraint is equivalent to unconstrained maximization of the expression:

$U=U\left(D,K\right)-\lambda \left[H-t-\frac{1}{w}\left(K+p\cdot c+b\cdot i+f\cdot z\right)\right]$ (4)

where $\lambda $ is defined as the incremental charge due to extended outage duration causing energy shortage.

The following equations indicate the first-order (necessary) conditions.

$\frac{\partial U}{\partial t}=\frac{\partial U}{\partial D}\left[\frac{\partial D}{\partial t}+\frac{\partial D}{\partial c}\cdot \frac{\partial c}{\partial t}+\frac{\partial D}{\partial s}\cdot \frac{\partial s}{dt}\right]+\lambda \left[1+\frac{p}{w}\cdot \frac{\partial c}{\partial t}\right]=0$ (5)

$\frac{\partial U}{\partial i}=\frac{\partial U}{\partial D}\left[\frac{\partial D}{\partial c}\cdot \frac{\partial c}{\partial i}+\frac{\partial D}{\partial s}\cdot \frac{\partial s}{\partial i}\right]+\frac{\lambda}{w}\left[p\cdot \frac{\partial c}{\partial i}+b\right]=0$ (6)

$\frac{\partial U}{\partial z}=\frac{\partial U}{\partial D}\cdot \frac{\partial D}{\partial z}+\frac{\lambda}{w}\cdot f=0$ (7)

$\frac{\partial U}{\partial K}=\frac{\partial U}{\partial K}+\frac{\lambda}{w}=0$ (8)

$\frac{\partial U}{\partial \lambda}=-\left[H-t-\frac{1}{w}\left(K+p\cdot c+b\cdot i+f\cdot z\right)\right]=0$ (9)

Multiplying Equations (5)-(7) by dt, di, and dz respectively and summing the three resulting equations, and rearranging terms yields:

$\begin{array}{l}\frac{\partial U}{\partial D}\left[\left(\frac{\partial D}{\partial t}+\frac{\partial D}{\partial c}\cdot \frac{\partial c}{\partial t}+\frac{\partial D}{\partial s}\cdot \frac{\partial s}{dt}\right)\text{d}t+\left(\frac{\partial D}{\partial c}\cdot \frac{\partial c}{\partial i}+\frac{\partial D}{\partial s}\cdot \frac{\partial s}{\partial i}\right)\text{d}i+\frac{\partial D}{\partial z}\text{d}z\right]\\ +\frac{\lambda}{w}\left[\left(w+p\cdot \frac{\partial c}{\partial t}\right)\text{d}t+\left(p\cdot \frac{\partial c}{\partial i}+b\right)\text{d}i+f\cdot \text{d}z\right]=0\end{array}$ (10)

Simplifying further:

$\frac{\partial U}{\partial D}\cdot \text{d}D+\frac{\lambda}{w}\left(w\cdot \text{d}t+p\cdot \text{d}c+b\cdot \text{d}i+f\cdot \text{d}z\right)=0$ (11)

Dividing Equation (11) by Equation (8) yields an expression involving the willingness-to-pay (WTP) for electricity dependent activity, keeping utility constant as derived from the consumer’s long run decision:

$WT{P}_{KD}\cdot \text{d}D=w\cdot \text{d}t+p\cdot \text{d}c+b\cdot \text{d}i+f\cdot \text{d}z$ (12)

where

$WT{P}_{KD}=\frac{\partial U}{\partial D}/\frac{\partial U}{\partial K}=-{\frac{\partial K}{\partial D}]}_{U}$ (13)

By definition, $WT{P}_{KD}$ measures the marginal equivalent monetary value of electricity-dependent activity; that is the tariff increase that the consumer is willing to pay to just compensate for his lost activity due to electric service shortages. Consider the effect of an unexpected outage during the evening when the family is enjoying activity type S. During the outage, it can be argued that c, i and z depend only on t. This assumes a coherent type of relation between i and dz. For example, in any considered short period of time, electricity use may be linearly proportional to the time. Therefore, it is possible to write:

$c=\phi \left(t\right)$ (14)

Using Equation (14) to evaluate Equation (12), and replacing dD by ΔD, and so on:

$MWT{P}_{KD}\cdot \Delta D=\left(w+p\cdot \frac{\partial \phi}{\partial t}\right)\cdot \Delta t+b\cdot \Delta i+f\cdot \Delta z$ (15)

Thus, the left side of Equation (15) represents the overall welfare decrease because of an incremental loss of activity ΔD resulting from the unexpected outage of duration Δt; the right side measures the value of the inputs necessary to produce the activity. The term ( $b\cdot \Delta i$ ) is interpreted as representing the value of the input of electricity-using equipment that is foregone during the outage. If the income foregone in each period (bi) is uniformly distributed over the activity period t during which the equipment is used, then the average value of appliance input for every unit of activity time is bi/t, and therefore

$b\cdot \Delta i=b\cdot \left(i/t\right)\cdot \Delta t$ (16)

The domestic electricity consumption cost will be reduced by the amount $p\cdot \left(\partial \varnothing /\partial t\right)\cdot \Delta t$ from kWh not used during the outage. Therefore, the net incremental welfare loss or outage cost (OC) can be written as:

$OC=WT{P}_{KD}\cdot \Delta D-p\cdot \left(\partial \varnothing /\partial t\right)\cdot \Delta t=w\cdot \Delta t+b\cdot \Delta i+f\cdot \Delta z$ (17)

Equation (17) measures the welfare change caused by an incremental change in the availability of electricity-dependent activity ∆D, in terms of the value of the inputs: ∆t, ∆i, ∆z which are required to produce this activity.

It is worth mentioning that the difficulties of obtaining data on using any type of electrical appliances during activity time will usually far outweigh any resulting refinement to the basic estimate of outage cost that is derived purely on the basis of more readily available income data. Therefore, in practice, the following expression may be used as a reasonable approximation to Equation (17):

$\Delta OC\approx w\cdot \Delta t$ (18)

In practical terms, the energy shortages and excessive energy consumption can be envisaged as a coherent correlation. This correlation can be utilized in attempting to reduce power outages by embracing and applying effective and practical energy conservation measures that can reduce the occurrences of these power outages causing energy shortages and allow the consumer to fulfil his domestic duties and enjoying leisure times and practising social and ceremonial activities.

4.5. Outcomes of Both Survey Approaches and Mathematical Model Approach

Results Estimations of both approaches are shown in Table 1 and plotted in Figure 4 for comparison reason. The curves show some discrepancy which may be ascribed, in the questionnaires results, to the infrequent outages occurrences and subsequently less enthusiasm on part of consumers to respond to outages in buying emergency items or taking any precautionary actions. The model estimates seem to be higher and this also could be attributed to the electricity-dependence weight embodied in the estimate due to the link between the use of energy and the per capita income. Both curvesdemonstrate clearly the time-dependent and the non-linear nature of the outages cost that probably may reach prohibitive limits should outages lasted and extended for longer durations.

Table 1. Variation of outages cost with outage duration.

Figure 4. Variation of outage cost vs. outage duration.

5. Comparison of Results with Other Similar Studies

The cost estimation of energy cease as SR/kWh for the residential sector, shown in Figure 5, wa